Answer:y=6-X
Step-by-step explanation:
To leave y on it’s on on the right hand side we need to subtract X
X+y-X= y
What you do on the left hand side, you do the same on the right hand side
6-X
final equation would be:
X+y-X=6-X
Simplifying we get :
y=6-X (FINAL ANSWER)
I need help question
Answer:
a= positive
b= When the graph goes up it means it has a positive trend.
c= the direction does not make sense because the measurements for the x and y coordinate do not correlate with each other.
Step-by-step explanation:
diameter of a circle is 42 ft. Find its area to the nearest whole number.
Answer:
1385 square feet
Step-by-step explanation:
42ft÷2=21ft to get the radius
21^2=441ft
441×π=441π
441π=1385.44236
=1385 to the nearest whole number
Find the x and y-intercept and Find the vertical and horizontal asymptotes
r(x)= x^2 + 3x - 10/ (x+1)(x-3)(x+5)
The y-intercept of the equation is -10.
What is Equation?Equation is a mathematical statement that expresses the equality of two expressions, which are separated by an equals sign. It can be used to represent a variety of different relationships, such as equality, inequality, addition, subtraction, multiplication, and division. Equations can be used to solve a variety of problems in science, engineering, and mathematics.
The x-intercepts of the graph of the equation r(x) are those values of x for which the equation is equal to 0. To find the x-intercepts, we must solve the equation:
x²+ 3x - 10 = 0
Factoring the equation, we get:
(x+5)(x-3)(x+1) = 0
The solutions of this equation are x = -5, -1, and 3. Therefore, the x-intercepts of the equation are -5, -1, and 3.
To find the y-intercept, we must plug 0 in for x in the equation:
y = x² + 3x - 10/ (x+1)(x-3)(x+5)
When x = 0, we get:
y = -10/ (0+1)(0-3)(0+5)
Therefore, the y-intercept of the equation is -10.
The vertical asymptote of the equation is the line x = -1, since it is the only value of x that makes the denominator equal to 0.
The horizontal asymptote of the equation is the line y = 0, since the degree of the numerator is less than the degree of the denominator.
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The y-intercept of the equation is -10.the x-intercepts of the equation are -5, -1, and 3.
What is Equation?Equation is a mathematical statement that expresses the equality of two expressions, which are separated by an equals sign. It can be used to represent a variety of different relationships, such as equality, inequality, addition, subtraction, multiplication, and division. Equations can be used to solve a variety of problems in science, engineering, and mathematics.
The x-intercepts of the graph of the equation r(x) are those values of x for which the equation is equal to 0. To find the x-intercepts, we must solve the equation:
x²+ 3x - 10 = 0
Factoring the equation, we get:
(x+5)(x-3)(x+1) = 0
The solutions of this equation are x = -5, -1, and 3. Therefore, the x-intercepts of the equation are -5, -1, and 3.
To find the y-intercept, we must plug 0 in for x in the equation:
y = x² + 3x - 10/ (x+1)(x-3)(x+5)
When x = 0, we get:
y = -10/ (0+1)(0-3)(0+5)
Therefore, the y-intercept of the equation is -10.
The vertical asymptote of the equation is the line x = -1, since it is the only value of x that makes the denominator equal to 0.
The horizontal asymptote of the equation is the line y = 0, since the degree of the numerator is less than the degree of the denominator.
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Given that Z=√3 + √3 i, write Z in Euler form
Answer:
To write Z in Euler form, we first need to find its magnitude and argument.
The magnitude of Z is given by:
|Z| = √(Re(Z)^2 + Im(Z)^2)
where Re(Z) is the real part of Z, and Im(Z) is the imaginary part of Z.
In this case:
Re(Z) = √3
Im(Z) = √3 i
So:
|Z| = √(√3^2 + (√3)^2) = √(3 + 3) = √6
The argument of Z is given by:
arg(Z) = tan^(-1)(Im(Z) / Re(Z))
In this case:
arg(Z) = tan^(-1)((√3) / √3) = tan^(-1)(1) = π/4
Therefore, Z in Euler form is:
Z = |Z| e^(i arg(Z)) = √6 e^(i π/To write Z in Euler form, we first need to find its magnitude and argument.
The magnitude of Z is given by:
|Z| = √(Re(Z)^2 + Im(Z)^2)
where Re(Z) is the real part of Z, and Im(Z) is the imaginary part of Z.
In this case:
Re(Z) = √3
Im(Z) = √3 i
So:
|Z| = √(√3^2 + (√3)^2) = √(3 + 3) = √6
The argument of Z is given by:
arg(Z) = tan^(-1)(Im(Z) / Re(Z))
In this case:
arg(Z) = tan^(-1)((√3) / √3) = tan^(-1)(1) = π/4
Therefore, Z in Euler form is:
Z = |Z| e^(i arg(Z)) = √6 e^(i π/4)
A cylinder has a base diameter of 16 inches and a height of 7 inches. What is its volume in cubic inches, to the nearest tenths place?
Answer: 1407.4
Step-by-step explanation:
I will mark you brainiest!
Given square ERTN, what is the length of NT ?
A) 50
B) 15
C) 25
Answer:
C) 25
Step-by-step explanation:
A square has all four sides equal.
5x = 10x - 25
-5x = -25
x = 5
Now put 5 in for x, and you get the answer is 25
I will mark you brainiest!
In order for a 25-gon to be regular, which of the following statements must be true?
A) The interior angles are congruent to their exterior angles.
B) All the diagonals are congruent.
C) Opposite pairs of sides are parallel.
D) All interior angles and all sides are congruent.
Answer:
For a polygon to be regular, it must satisfy the following two conditions:
All of its interior angles must be congruent.
All of its sides must be congruent.
Let n be the number of sides of the polygon. Then the measure of each interior angle of a regular n-gon is given by:
180(n-2)/n degrees
For a 25-gon, the measure of each interior angle is:
180(25-2)/25 = 156.8 degrees
Therefore, option D) "All interior angles and all sides are congruent" must be true for a 25-gon to be regular.
Diane bought 10 pounds of sugar for $5.
How many pounds of sugar did she get per dollar?
Answer:
Diane got 2 pounds of sugar per dollar.
To see why, divide the number of pounds of sugar by the cost in dollars:
10 pounds / $5 = 2 pounds/dollar
{8x[1+(20-6]} (Division Symbol) 1/2
Answer: 64x
Step-by-step explanation:
Subtract 6 from 20 to get 14.
Multiply 14 and 1/2 to get 14/2
Divide 14 by 2 to get 7.
Add 1 and 7 to get 8.
Multiply 8 and 8 to get 64.
.
what is the distance from (-3, 10) to (-3, -9)?
Answer: 19 units
Step-by-step explanation:
Just subtract the y values and find the absolute value since the x values are the same.
c) What is the height of the container if it’s a cylinder with a radius of 5cm?
d) If the contrainer from Part C is full of Hot Chocolate powder and Hot Chocolate powder costs $0.07 per cubic centimeter, what is the cost of the hot chocolate powder?
The height of this container if it is a cylinder with a radius of 3 cm is equal to 5 cm.
The cost of coffee is equal to $2.83.
The height of this container if it is a cylinder with a radius of 5 cm is equal to 1.8 cm.
The cost of hot chocolate powder is equal to $9.90.
How to calculate the volume of a cylinder?In Mathematics, the volume of a cylinder can be determined by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By choosing a volume of 45π cm³, the height of this container can be calculated as follows:
h = V/πr²
Height, h = 45π/π3²
Height, h = 5 cm.
For the cost of coffee, we have:
Cost of coffee = 45π cm³ × $0.02
Cost of coffee = $2.83.
When radius, r = 5 cm, the height of this container is:
h = V/πr²
Height, h = 45π/π5²
Height, h = 1.8 cm.
For the cost of the hot chocolate powder, we have:
Cost of the hot chocolate powder = 45π × $0.07
Cost of the hot chocolate powder = $9.90.
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Which statement can you conclude from the given information?
Given: Points X, Y, and Z are equidistant from points P and Q.
O Point Y is equidistant from points X and Z.
OPX = PY
O PQ=XZ
O Points X, Y, and Z are collinear.
Please help
Therefore , the solution of the given problem of equation comes out to be Y is equally distant from X and Z.
What is equation?Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. In this case, normalization produces a + 7 as opposed to a different algorithm that splits 12 into two parts and can evaluate data received from x + 7.
Here,
We can infer from the knowledge that
=> PQ = XZ
because X, Y, and Z are equally spaced apart from P and Q.
Based on this knowledge alone, we cannot infer that X, Y, and Z are collinear or that Y is equally distant from X and Z.
Therefore , the solution of the given problem of equation comes out to be Y is equally distant from X and Z.
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For every pound of warming gas produced by agriculture, how many pounds of warming gas are produced by transportation
1.0
1.3
2.0
2.7
3.0
The correct option is (e) i.e. 3.0.
What are Units ?
In math, units refer to a standard of measurement used to quantify a quantity. Units are used to specify the magnitude of a physical quantity or measurement, such as length, mass, time, temperature, and so on.
The use of units is important in math and science because it allows us to communicate and compare measurements effectively. Without units, it would be difficult to understand or compare different measurements, as they would lack a common reference point.
According to the United States Environmental Protection Agency (EPA), transportation is the largest contributor to greenhouse gas emissions in the United States, responsible for approximately 29% of total greenhouse gas emissions in 2019. In comparison, agriculture accounted for approximately 10% of total greenhouse gas emissions in the same year.
Therefore, for every pound of warming gas produced by agriculture, approximately 2.9 pounds of warming gas are produced by transportation.
So, the closest option from the given choices is 3.0.
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What would (-2, -2) be if it is rotated 90 degrees clockwise?
Answer:
(2, -2)
Step-by-step explanation:
To rotate a point in a coordinate plane 90 degrees clockwise, we need to switch the x and y coordinates and negate the new x coordinate.
So let's apply this formula to the point (-2, -2):
- The new x-coordinate will be the original y-coordinate: -2
- The new y-coordinate will be the negation of the original x-coordinate: -(-2) = 2
Therefore, after rotating (-2, -2) 90 degrees clockwise, we get the point (2, -2).
We can visualize this by plotting both points on a coordinate plane and drawing a line of reflection that represents the rotation:
```
Before rotation:
|
|
|
-------+-------
|
(-2,-2)
After rotation:
|
|
(2,-2)|
-------+-------
|
```
As shown in the diagram above, after rotating (-2,-2) 90 degrees clockwise, it lands at (2,-2).
There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats.
write an exspression
Answer:
x = 8
Step-by-step explanation:
Let x be the number of blue seats in each section.
Then the total number of seats in each section is:
14 + x
Since there are 4 identical sections, the total number of seats in the theater is:
4(14 + x) = 56 + 4x
We know that the theater has 88 seats, so:
56 + 4x = 88
Simplifying the equation:
4x = 32
x = 8
Therefore, each section has 14 red seats and 8 blue seats.
The expression for the number of blue seats in each section is x = 8.
Answer:
4(14 + b) = 88---------------------------------
Let b be the number of blue seats.
There are 4 sections, each has 14 red and b blue seats, with the total number of seats being 88.
The equation to reflect this would be:
4(14 + b) = 88Its solution would be:
14 + b = 88/414 + b = 22b = 22 - 14b = 81. a. Give one exemplary instance each for the use of the following kinds of Numbers.
i. Cardinal
ii. Ordinal
iii. Nominal
5. Write the following Hindu-Arabic Numerals in Roman Numerals.
i. 1997
ii. 15-03-2023
2. Solve the following;
a. 2√128-√243 +5√125 + √27-√80-162 +√98
b. Write 1.3555555555.... as
7º
c. Three villages A, B & C organizes funeral every 10days, 15days and 20days respec
three villages had a funeral on 4th March, 2023, determine the date of the next weeke
have another funeral together.
Selu
Answer: I'd be happy to help you with these problems!
1a.
i. Cardinal: There were 10 apples in the basket.
ii. Ordinal: He came in first place in the race.
iii. Nominal: My favorite color is blue.
i. 1997 in Roman numerals is MCMXCVII.
ii. 15-03-2023 in Roman numerals is XV-III-MMXXIII.
2a.
2√128 - √243 + 5√125 + √27 - √80 - 162 + √98
First, simplify the square roots:
2√64·2 - 3√81·3 + 5√25·5 + √9·3 - √16·5 - 162 + √49·2
Next, simplify further:
2·8√2 - 3·3√3 + 5·5√5 + 3√3 - 4√5 - 162 + 7√2
Combine like terms:
15√2 - √3 + 8√5 - 162 - 4√5 + 7√2
Simplify further:
22√2 + 4√5 - √3 - 162
b.
1.3555555555.... can be written as 1.36 in 7º.
c.
Village A has a funeral every 10 days, so it will have a funeral on March 4th, March 14th, March 24th, etc.
Village B has a funeral every 15 days, so it will have a funeral on March 4th, March 19th, April 3rd, etc.
Village C has a funeral every 20 days, so it will have a funeral on March 4th, March 24th, April 13th, etc.
To determine the next time all three villages will have a funeral on the same day, find the least common multiple of 10, 15, and 20.
10 = 2 x 5
15 = 3 x 5
20 = 2 x 2 x 5
The least common multiple is 2 x 2 x 3 x 5 = 60.
So, the next time all three villages will have a funeral on the same day is 60 days after March 4th, which is May 3rd, 2023.
Comment if you have any more questions.
The following question has 2 parts. First, answer part A. Then, answer part B.
Use the image below to answer the questions.
Help fast please!
The fraction that represents the addition model of part A is 5/10, and for part B is 3/100.
What is a fraction?Parts of a whole are defined as fractions. The top and bottom numbers of a fraction are explained in the fundamentals of fractions. The number at the top represents the number of selected pieces of a whole, while the number at the bottom reflects the entire number of components.
According to the given information:
Based on the information provided, a grid A with 10 equal columns is depicted, with 5 shaded in. This will be expressed as a score of 5/10.
A second grid B, same in size, with 100 squares shaded in is also presented. This will be expressed as 3/100.
In this situation, Emma's response is erroneous because he added 5 to 3 and received an 8/100.
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Jaylen brought j crackers and combined them with Marvin’s m crackers. They then split the crackers equally among 7 friends.
a. Type an algebraic expression that represents the verbal expression. Enter your answer in the box.
The algebraic expression that represents the verbal expression is given as follows:
(j + m)/7.
How to obtain the algebraic expression?The algebraic expression representing the situation is obtained applying the proportions in the context of the problem.
The verbal expression is given as follows:
"Jaylen brought j crackers and combined them with Marvin’s m crackers. They then split the crackers equally among 7 friends.".
The total number of crackers is then given as follows:
j + m.
The crackers were divided evenly among the seven people, hence the expression representing the number of crackers by each person is obtained applying the proportion as follows:
(j + m)/7 -> total divided by number of people.
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Factor completely using the GCMF.
10x5 + 8x4 - 4x²
Answer:
To factor completely using the GCMF (Greatest Common Monomial Factor), we first need to identify the common monomial factor of all three terms. In this case, the common monomial factor is 2x²:
10x^5 + 8x^4 - 4x² = 2x²(5x^3 + 4x^2 - 2)
Now, we can see that the expression can be factored further, but it cannot be factored using the GCMF. However, we can use other factoring techniques, such as grouping or factoring by grouping, to factor the remaining expression:
2x²(5x^3 + 4x^2 - 2) = 2x²(5x^3 + 10x^2 - 6x^2 - 2)
= 2x²(5x^2(x + 2) - 2(x + 2))
= 2x²(5x^2 - 2)(x + 2)
Therefore, the expression 10x^5 + 8x^4 - 4x² can be factored completely as 2x²(5x^2 - 2)(x + 2).
Step-by-step explanation:
What was the resultant vector of her trip?
The resultant vector for her trip is <-9, 14>, where the units are miles.
What was the resutant vector of the trip?Let's define north as the positive y-axis and east as the positive x-axis.
First we know that she goes 9 mileswestand 4 miles north of her house, then that can be represented by the vector:
<-9, 4>
Then she travels at a speed of 30mi/h for 20 minutes, we know that:
1hour = 60min
then:
20 min = (20/60) hours = (1/3) hours.
The distance that she travels in that time is:
d = (30 mi/h)*(1/3)h = 10 mi
So she travles 10 miles north, this time the vector is <0, 10>
To get the resultant vector we just need to add the two ones we have:
<-9, 4> + <0, 10> = <-9 + 0, 4 + 10> = <-9, 14>
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If the measure of angle 2 is 68 degrees, what is the measure of angle 1?
Answer:
22 degree
Step-by-step explanation:
We know
∠1 and ∠2 combined must be 90 degrees. We know angle 2 is 68 degrees.
What is the measure of angle 1?
90 - 68 = 22 degrees
So, angle 1 is 22 degrees.
Use the graph to answer the question. Graph of a polygon ABCD with vertices at 4 comma 4, 12 comma 4, 12 comma 8, 4 comma 8 and a second polygon A prime B prime C prime D prime with vertices at 1 comma 1, 3 comma 1, 3 comma 2, 1 comma 2. Determine the scale factor used to create the image. one half 2 one fourth 2.5
The image was created by translating 5 units down, 5 units up, 1 unit down, and 1 unit up. ABCD and A'B'C'D' are two polygons on the graph.
The first polygon, ABCD, has vertices at (4,4), (12,4), (8,4), and (1,1),). (3,1). The vertices of the second polygon, A'B'C'D', are located at (1,1), (3,1), (3,2), and (1,2). (0.5,.25).
We can establish the translation that was applied to produce the image by comparing the coordinates of the two polygons. The two polygons' initial coordinate is (1,-1) and their second coordinate is (1,-1). (1,-6). The translation is 5 units lower because of the 5-unit difference in the y-coordinate. The second coordinate for the two polygons is (3,-5) and (3,-10). The translation is 5 units lower because of the 5-unit difference in the y-coordinate.
The third coordinate of the second polygon is (7,-5) and (7,-10). The translation is 5 units lower because of the 5-unit difference in the y-coordinate. The fourth coordinate of both polygons is (5,-1). (5,-6). The translation is 5 units lower because of the 5-unit difference in the y-coordinate.
The translation of the image was five units down, five units up, one unit down, and one unit up.
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Answer: C = 1/4
Step-by-step explanation: I got it right on my test
Hope this helps :)
A rectangular bathroom tile is 2 and 1/3 times as wide as it is tall . If the tile is 5 cm tall,how wide is is
A 3 and 2/3 cm
B 7 and 1/3 cm
C 10 and 1/3 cm
Help me find the answer pls
The width of the rectangular tile is obtained to be 11 and 2/3 cm.
What is a rectangle?
A quadrilateral with parallel sides that are equivalent to one another and four equal vertices is known as a rectangle. It is also known as an equiangular rectangle for this reason.
The bathroom tile is in a rectangular shape.
Let's call the width of the tile "w".
From the problem, we know that -
w = (2 and 1/3) × h
We also know that the height of the tile is 5 cm.
Substituting this value in the equation above, we get -
w = (2 and 1/3) × 5 cm
w = 7/3 × 5 cm
w = 35/3 cm
w = 11 and 2/3 cm
Therefore, the width of the tile is 11 and 2/3 cm.
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Divide 12a7b2 by 4a2b. 3a5b2 3a5b3 3a5b 3a9b3
Answer: 3a^5b
Step-by-step explanation:
I just did an exam with the question, and I got it correct.
Answer:
Like the other person said, C.
Step-by-step explanation:
also got it correct on the test
have a good day xx
Which name is a correct way to name the tiling?
The battery life on Marco's cell phone decreases
according to the scatterplot below. What is the longest
amount of time Marco could use his phone without
charging it?
Answer:
The longest amount of time that Marco could use his phone without changing the battery is given as follows:
3.3 hours.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses tbe y-axis.In 5 hours, the battery fell from 50% to 20%, hence the slope is given as follows:
-30/5 = -6% an hour.
The battery is currently at 20%, hence the time that Marco could use the phone without charging it is given as follows:
20/6 = 3.3 hours.
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can you please solve this its urgent
Step-by-step explanation:
Think we can get a better picture, maybe more light? I wouldn't mind helping if you can
Please help with this
The evaluation of the probability of picking the real numbers can be presented as follows;
(a) The probability of picking a real number between 3 and 5 is 0.57
(b) The probability that a real number between 3 and 7 is picked is; 0.88
What is the probability of an event?The probability of an event is the ratio of the number of required outcome to the number of possible outcome
The area in each region are;
Area under the curve of region A = 0.12
Area under the curve of region B = 0.56
Area under the curve of region C = 0.36
The probability that an event occurs can be taken as the ratio of the area under the curve, and the entire area, therefore;
(a) The probability that a real number between 3 and 5 is picked, can be found as follows.
P(Between 3 and 5) = 0.56/(0.12 + 0.56 + 0.36) = 0.56(b) The area of the region under the curve between 3 and 7 includes the region between 3 and 5 and between 5 and 7, therefore;
The area between 3 and 7 = Area between 3 and 5 + Area between 5 and 7
The area between 3 and 7 = 0.56 + 0.32 = 0.88
The probability of that a real number between 3 and 7 is picked, therefore can be obtained as follows;
P(Between 3 and 7) = 0.88/(0.12 + 0.56 + 0.32) = 0.88Learn more on the probability of an event here: https://brainly.com/question/28981027
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PLEASE ANSWER ASAP
Let $g(x) = 4x^2 + x + 7$. Find $g(-2)$.
Let $A(t) = 3- 2t^2 + 4^t$. Find $A(2) - A(1)$.
Let \[g(x) = 3(x - 6)^2 + 1.\] Find the range of $g$. Write your answer in interval notation.
Define the operation $\heartsuit$ so that \[ a \heartsuit b = \dfrac{a + b}{2}. \] Find the value of \[ \left(5 \heartsuit 7\right) \heartsuit 11 - 5 \heartsuit \left(7 \heartsuit 11\right). \]
Which of these rules are functions on an appropriate domain? Select all that apply.
$\vspace{.05in}$
$A$ inputs a real number, subtracts $100$, then outputs the square root of the result if it is real.
${}B$ inputs a date, then outputs the name of a person born on that date.
$C$ inputs a real number $x$, then outputs a real number $y$ that is less than $\frac{1}{1000}$ larger than $x$. $\smallskip$
$D$ inputs a real number $x$, then outputs the result of the calculation $\dfrac{x^2-1}{(x-1)(x+1)}$.
$E$ inputs a real number $x$, then a coin is flipped. If the coin flips heads, the output is $x+2$. If the coin flips tails, the output is $x+3$.
$F$ inputs a person, then outputs their birth date.
The rules that are functions on an appropriate domain are A and D, and other solutions are shown below
The function g(x)Given that
g(x) = 4x² + x + 7
For g(-2), we substitute -2 for x in g(x) = 4x² + x + 7
So, we have
g(-2) = 4(-2)² + (-2) + 7
Evaluate
g(-2) = 21
The function A(t)Here, we have
A(t) = 3- 2t² + 4^t.
To calculate A(2) - A(1), we calculate A(2) and A(1) and then subtract the values
So, we have
A(2) = 3 - 2(2)² + 4² = 11
A(1) = 3 - 2(1)² + 4¹ = 5
So, we have
A(2) - A(1) = 11 - 5
A(2) - A(1) = 6
The range of the function g(x)Here, we have
g(x) = 3(x - 6)² + 1
The vertex above is
vertex = (6, 1)
Because the leading coefficient (a) is greater than 0
i.e. a = 3, then the vertex is a minimum
So, the range is y ≥ 1
The operation ♡Here, we have the following definition
a ♡ b = (a + b)/2.
This means that
(5 ♡ 7) ♡ 11 = (5 + 7)/2 ♡ 11
(5 ♡ 7) ♡ 11 = 6 ♡ 11
So, we have
(5 ♡ 7) ♡ 11 = (6 + 11)/2
(5 ♡ 7) ♡ 11 = 8.5
Rule of appropriate domain of a functionThe rules that are functions on an appropriate domain are A and D.
Rule A takes a real number as input and produces a real number as output for all inputs that satisfy x ≥ 100Rule D takes a real number as input and produces a real number as output for all inputs that are ± 1.Rules B, C, E, and F are not functions on an appropriate domain
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Complete question
Let g(x) = 4x^2 + x + 7. Find g(-2)
Let A(t) = 3- 2t^2 + 4^t. Find A(2) - A(1).
Let g(x) = 3(x - 6)^2 + 1. Find the range of g. Write your answer in interval notation.
Define the operation ♡ so that a ♡ b = (a + b)/2.
Find the value of (5 ♡ 7) ♡ 11
Which of these rules are functions on an appropriate domain?
Select all that apply.
A inputs a real number, subtracts 100, then outputs the square root of the result if it is real.
B inputs a date, then outputs the name of a person born on that date.
C inputs a real number x, then outputs a real number y that is less than 1/1000 larger than x
D inputs a real number x, then outputs the result of the calculation (x^2-1)/(x-1)(x+1)
E inputs a real number x, then a coin is flipped. If the coin flips heads, the output is x+2. If the coin flips tails, the output is x+3.
F inputs a person, then outputs their birth date.
Is -3 a real irrational rational integer or a whole number 
-3 is not an irrational number, but it is a real number, a rational number, an integer, and a whole number.
What are whole numbers and rational numbers?
All numbers, including integers, fractions, decimals, and irrational numbers, that can be represented on a number line are considered real numbers.
In summary, real numbers include rational and irrational numbers, and integers include whole number and their negatives.
When two integers are compared, a number can be stated as a ratio, such as -3/1, 1/2, or 5/7. Writing rational numbers as recurring or ending decimals is an option.
Numbers that can't be stated as a ratio of two integers, like 2 or, are referred to as irrational numbers. It is impossible to write irrational numbers using repeating or ending decimals.
Positive and negative whole numbers, as well as zero, are considered integers. Since whole numbers are non-negative integers, they contain zero and only positive values.
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