Answer:
Zeros are at x=0 and x=3/2.
Step-by-step explanation:
f(x) = x(6x - 9)
x=0 and 6x -9 = 0
6x = 9
x = 3/2
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?
Answer:
Freddy is 40
his nephew is 17
Step-by-step explanation:
6+2n +n=57 6+2n or 6+2(17
6+3n=57 6+34
3n=51 40
n=17 f=40
A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)
The correct option is option C i.e., (1,3).
It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
We have to check which ordered pair from given options is correct.
What do you mean by domain and ranges of a function ?
The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.
As per the question ;
A circle has the points ;
(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
We know that ;
A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.
Also ;
The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.
Now ; check for relation.
Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.
So;
The correct option is C.
Thus , the correct option is option C i.e., (1,3).
To learn more about ordered pairs click here ;
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Answer:
C (1, 3)
Step-by-step explanation:
edge 2023
Hi, could any one explain how to find the amount of prime numbers between numbers?
Answer:
The answer is below
Step-by-step explanation:
So first to find a prime number, you need to know some multiplication skills.
So prime number is a number that is only divisible by itself or 1.
______
For example
3 is a prime number because it can't be divisible by any number
but
9 is not a prime number, because it can be divisible by 3
3 x 3 = 9
______________________
So you get it now
Now if you get a some number between 1 - 10
you have to use your multiplication skills to see if there are any prime numbers.
_____________________________
so
1 - not a prime number, can't be divisible by any number.
2 - not a prime number, can't be divisible by any number.
3 - not a prime number, can't be divisible by any number
4 - is a prime number, can be divisible a number (2 x 2 = 4)
5 - not a prime number, can't be divisible by any number
6 - is a prime number, can be divisible a number (3 x 2 = 6)
7 - not a prime number, can't be divisible by any number
8 - is a prime number, can be divisible a number (4 x 2 = 8)
9 - is a prime number, can be divisible a number (3 x 3 = 9)
10 - is a prime number, can be divisible a number (5 x 2 = 10)
__________________________________________________________
James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum.
Answer:
The number of places correctly identified is 110 places
Step-by-step explanation:
The number of places he correctly identified will be;
11 + 4 + 86 + 9 = 110 places
By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5
so 4 will be 5
11 will be 10
86 will be 85
9 will be 10
Adding all of these together, we have
5 + 10 + 85 + 10 = 110
expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6
Step-by-step explanation:
[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]
[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]
[tex]49 + 14 \sqrt{6} + 6[/tex]
[tex]55 + 14 \sqrt{6} [/tex]
The expanded and simplified answer is 55 + 14√6.
How to find the simplified form of an expression?The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.
The given expression is expanded and simplified:Given: (7 + √6)^(2)
First, we have to square the expression and expand it.
(a + b)^2 = a^2 +2ab b^2
Similarly we can open the brackets of the given expression:
(7 + √6)^(2) = 49 + 2*7*√6 + 6
= 55 + 14√6
This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.
Therefore, we have expanded and simplified the given expression as 55 + 14√6.
Learn more about the simplified form here: https://brainly.com/question/1698314
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Does the equation: -x + 6y = -7 represent direct variation?
Answer:
The equation -x + 6y = -7 does not represent direct variation.
Step-by-step explanation:
The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m xLet us solve the question
∵ The equation is -x + 6y = -7
→ Substitute x by 0 to find the value of y-intercept
∵ x = 0
∴ 0 + 6y = -7
∴ 6y = -7
- Divide both sides by 6 to find y
∴ y = [tex]-\frac{7}{6}[/tex]
∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )
∵ The y-intercept of the direct variation is (0, 0)
∴ The equation -x + 6y = -7 does not represent direct variation.
what is the slope of ( -4,-1) , (8 - -7)
whats the slope of (-1,4) and (-2,5)
Answer:
m=-1
Step-by-step explanation:
Answer: m = -1
Step-by-step explanation: Use the slope formula to find the slope m.
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.
Help
Answer: 96°
180-84 = 96
I hope this is good enough:
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
HELP ASAP FOR BRAINLIEST!!
Tell whether the expression in the pair is equivalent.
37.) 3(5 + z) and 15 + z
Answer:
Not equivalent
Step-by-step explanation:
The three would also be distributed to z making the correct equivalent expression 15+3z
S= CB-7, for C.
What is the Answer to this?
Answer:
C = (S + 7) / B
Step-by-step explanation:
S = CB - 7
S + 7 = CB
C = (S + 7) / B
Hope this helps!
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property
Answer:
b
B zero product property
Answer:
The Zero property
Step-by-step explanation:
anything multiplied by zero will give you a product of zero
(picture) what is the answer if x=-2
If x = 2
then
3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #
Therefore, if x = 2 then it's 9
100 percent as a fraction in simplest form.
Answer:
1/1
Step-by-step explanation:
100/100=1/1=1
Answer:
Step-by-step explanation
1/10 would be the answer
As a fraction it would be 1/100 but simplified it will be 1/10
PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH
Answer:
Step-by-step explanation:
(-4,0) (-2, -3)
(-3-0)/(-2+4)= -3/2
15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles
Answer:
Can you be more specific if you can I will answer in the comments :)
Step-by-step explanation:
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
A right triangle is a move from a rectangle to create the shaded region below. find the area of shaded region. be sure to include the correct unit in your answer.
Answer:
55 cm²
Step-by-step explanation:
Area of rectangle is 9 × 7 = 63 cm²
Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²
The area of shaded region is 63 - 8 = 55 cm²
V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).
Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46
When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals
Answer:
The number of visitors increases at the same rate over both intervals
Step-by-step explanation:
The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.
To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.
Hint #22 / 3
We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Let's calculate the average rate of change of VVV over those intervals:
ARC_{[18,20]}ARC
[18,20]
A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC
[20,27]
A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript
\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad
20−18
V(20)−V(18)
=
2
18−10
=
2
8
=4
\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}
27−20
V(27)−V(20)
=
7
46−18
=
7
28
=4
Hint #33 / 3
The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Therefore, the number of visitors increases at the same rate over both intervals.
Using the average rate of change, it is found that the correct option is:
(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.
The rate of change of a function is given by the change in the output divided by the change in the input.
When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:
[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]
When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:
[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]
First case has higher rate of change, thus, option A is correct.
A similar problem is given at https://brainly.com/question/20732437
please help me fill in the blank
Answer: X = 5
Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.
Which of the following numbers can be expressed as a decimal that terminates? (5 points)
3 over 2 , 2 over 3 , 3 over 4 , 5 over 7
3 over 2 and 2 over 3
3 over 4 and 5 over 7
3 over 2 and 3 over 4
2 over 3 and 5 over 7
Answer:
3 over 2 = 1.5
3 over 4 = 0.75
3 over 2 and 3 over 4 = 2.25
Step-by-step explanation:
Answer:
3 over 2 and 3 over 4
Step-by-step explanation:
that it
Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0
A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?
Answer:
yes
Step-by-step explanation:
Answer: 1 2/3 yards for each bow
Step-by-step explanation:
8 1/3 divided by 5 = 25/3 * 1/5 = 5/3
Pls help this is already past due
Answer:
Step-by-step explanation:
-5400/-450
12 minutes
Answer:
12 minutes
Step-by-step explanation:
If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.
-5,400 meters ÷ -450 meters/minute = 12 minutes
It will take 12 minutes for the plane to reach an altitude of -5,400 meters.
Let's check:
-450 meters x 12 minutes = -5,400 meters
1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
[tex]\frac{y2 - y1 }{x2 - x1}[/tex]
Now plug in your points
[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!