Answer:
x = 1/2 ; x = -3
Step-by-step explanation:
To solve this problem, we first need the quadratic to be set equal to x. Then, we can use factoring to solve for the values of x.
2x^2 + 5x = 3
2x^2 + 5x + -3 = 3 + -3
2x^2 + 5x + -3 = 0
Note that the first term's coefficient is 2. This factors into 1 and 2.
Note that the third term's coefficient is -3. This factors into 3 and -1.
From here, we will simply create the binomial factors for the quadratic.
(2x - 1) (x + 3) = 0
2x - 1 = 0 ; x + 3 = 0
2x - 1 + 1 = 0 + 1 ; x + 3 + -3 = 0 + -3
2x = 1 ; x = -3
2x * 1/2 = 1 * 1/2 ; x = -3
x = 1/2 ; x = -3
So our solutions for this quadratic equation are x = 1/2 or x = -3.
Cheers.
Solution:
2x²+5x=3
Using Factorisation method,
2x²+5x-3=0
2x²+6x-x-3=0
2x(x+3)-1(x+3)=0
(2x-1)(x+3)=0
2x-1=0 and x+3=0
x=1/2 and x=-3
Find x if AB = 9, BC = 2x - 5,
and AC = x + 9
Answer:
x = 5
Step-by-step explanation:
Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:
AB + BC = AC
Now, using the given values, we can substitute in for the equation and solve for x:
AB + BC = AC
9 + 2x - 5 = x + 9
2x + 4 = x + 9
x = 5
Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.
Cheers.
Answer:
x=5
Step-by-step explanation:
AB + BC = AC
9+ 2x-5 = x+9
Combine like terms
2x+4 = x+9
Subtract x from each side
2x+4-x = x+9-x
x+4 = 9
Subtract 4 from each side
x+4-4 = 9-4
x=5
Hi. I'm needing help with Graphing refelctions across the Y-Axis. f(x) = 1.5(0.5)
Answer:
g(x) is the reflection of f(x) over the y-axis.
hope it helps
Answer:
step 1: g(x) = 1.5(0.5)^-x
step 2: g(0) = 1.5
step 3: plot points on graph
step 4: g(1) = 3 g(-1) = .75
step 5: Plot the points
step 6: y=0
step 7: The smooth curve includes these points
Step-by-step explanation:
Just took this on edge 2021
Question 1 of 10
Sam studied the effects of exercise on short-term memory. Which of these is
a response variable?
A. Exercise
B. Short-term memory
C. Neither exercise nor short-term memory
O D. Both exercise and short-term memory
Answer:
B. Short-term memory
Step-by-step explanation:
Response variable is a dependent variable. It is dependent on the explanatory variable that is referred to as the independent variable.
In research study, the response variable is what is usually measured by the researcher. In the case given above, short-term memory is the response variable, which is dependent on exercise.
Question 4 (1 point)
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5)
B = {1, 3, 5, 7}
How many elements are in A n B?
Answer:
pretty sure its A n B = {1,5}
Step-by-step explanation:
Classify the polygon. Then determine whether it appears to be regular or not regular. A. stargon; regular B. hexagon; not regular C. pentagon; not regular D. pentagon; regular
Suppose an angle has a measure of x degrees. What is the measure of the angle that is five times as large as the first angle? If the two angles are supplementary, what equation can you write using the measures of the angles? What are the measures of the two angles?
Step-by-step explanation:
x+5x=180
6x=180
x=30
and 5x=150
Answer:
Solution given:
let angle be a and 5x
since sum of two angles are supplement
so
equation becomes
a+5a=180
now
solving it
6a=180
a=180/6
a=30
and 5a=5×30=150
required angles are 50 and 130.
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
Simplify the expression.
53 n
Answer:
The simplified solution to this expression is 5n⁴ + 11n³
Step-by-step explanation:
(5n³ + n⁴ - 5) - (-5 - 6n³ - 4n⁴)
Distribute the negative sign to (-5 - 6n³ - 4n⁴)
5n³ + n⁴ - 5 + 5 + 6n³ + 4n⁴
Group like terms.
(4n⁴ + n⁴) + (6n³ + 5n³) + (-5 + 5)
Combine like terms.
5n⁴ + 11n³
Can you please help me with this
Answer:
the first one
Step-by-step explanation:
7 - (-5) - 1 = 7 + 5 - 1 = 11
3 + 9 - 18 = -6
4 + (-14) - 5 = 4 - 14 - 5 = -15
8 - 12 - (-4) = 8 - 12 + 4 = 0
ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Answer:
Perimeter of A'B'C'D' = 9 units
Step-by-step explanation:
Given:
Perimeter of ABCD = 27 units
Scale factor = 1 / 3
Find:
Perimeter of A'B'C'D'
Computation:
Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]
Perimeter of A'B'C'D' = 1/3[27]
Perimeter of A'B'C'D' = 9 units
-2-5 is equivalent (equal) to -2+(-5)
True
False
Answer:
True
Step-by-step explanation:
Subtracting a number is identical to adding its opposite.
-2 -5 = -2 +(-5)
The statement is True.
_____
If you doubt this, you can have your calculator tell you what the answers are.
Give an expression in simplified for the perimeter of the figure below.
Answer:
14x + 10
Step-by-step explanation:
distribute and add
Need help asap! HDTV screens usually have a width-to-height ratio of 16:9. Which screen dimensions are in the same proportion?
26in by 19in,
48cm by 27cm,
4ft by 3ft,
28in by 21in
Answer:
48cm by 27cm
Step-by-step explanation:
[tex] \frac{48}{27} = \frac{48 \div 3}{27 \div 3} = \frac{16}{9} [/tex]
Ashley wants to travel to Florida with her friends. A round trip plane ticket is $299. She has $42. Her parents are willing to chip in 3 times whatever she saves for the trip. She can babysit on the weekends for $20/hour. How many more hours will Ashley have to work until she has enough money for the trip?
Answer:
hi
Step-by-step explanation:
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi. someone pls help me
Answer:
10 inches
Step-by-step explanation:
Given:
Area of pizza = 78.5 in²
To find:
Minimum width of placement to be placed underneath the pizza so that it does not touch the table?
Solution:
We are actually required to find out the diameter of the circular pizza here.
That will be the minimum width of the placement to be placed underneath the pizza so that pizza does not touch the table.
Let us have a look at the formula of area of a circle.
[tex]A=\pi r^2[/tex]
Where [tex]r[/tex] is the radius of the circle
We are given that
[tex]A = 78.5\ in^2[/tex]
[tex]\Rightarrow 78.5 = \pi r^2\\\Rightarrow 78.5 = 3.14\times r^2\\\Rightarrow \dfrac{78.5}{3.14} = r^2\\\Rightarrow r^2=25\\\Rightarrow r =5\ in[/tex]
Now, we know that the diameter is given as twice of the radius.
So, minimum width required = Diameter = 2 [tex]\times[/tex] 5 = 10 inches
Scenario: You are headed to New Orleans to visit a friend. You
just got your driver's license and your parents are very strict -
they won't let you drive over 50 miles per hour. When you tell
your friend the bad news, they insist on getting on their bicycle
and coming to meet you somewhere in the middle.
They aren't
very fast on their bicycle, but your friend can travel a solid 10
miles per hour.
Question: Where will y'all meet up?
Answer:
you want a specific place as an answer? or the mileage?
Donna Divider sees the “Multiples of 5” list and says, “Multiples of 5 are all divisible by 5! They can all be divided by 5 with no remainder!” Is Donna correct? Explain why this is so.
Answer:
Donna is correct
Step-by-step explanation:
Since every number that is a multiple of 5 is 5 times a number, it means that that number can be divided by 5 and result in the other number that produced it. Meaning there is no remainder.
Express the pair of fraction using the least common denominator of the two 3/8,7/10
Answer:
Step-by-step explanation:
3/8 x 5/5 = 15/40
7/10 x 4/4 = 28/40
15/40, 28/40
The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the least common denominator of the two pairs of fractions.
The fractions are 3/8, and 7/10
⇒ 3/8
Multiply by 5/5 in the fraction,
⇒ 3/8 × 5/5 = 15/40
⇒ 7/10
Multiply by 4/4 in the fraction,
⇒ 7/10 × 4/4 = 28/40
Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40
Learn more about the least common denominator here:
brainly.com/question/8413590
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The base of o rectangle is triple the height
The height is 35 What is the base?
Write a algebraic expression and evaluate
Answer:
105 units
Step-by-step explanation:
Height of rectangle = 35 units
Since, base of o rectangle is triple the height.
Therefore, base of rectangle = 3*35 = 105 units
Another way:
h = 35 (given)
b = 3h
b = 3*35 (Plug h = 35)
b = 105 units
A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?
Answer:
aₙ = 40*(1/2)ⁿ⁻¹
Step-by-step explanation:
As per graph we have:
a₁ = 40, a₂ = 20, a₃ = 10, a₄ = 5, a₅ = 2.5So the first term is 40 and common ratio is
20/40= 10/20 = 5/10 = 2.5/5 = 1/2Formula for nth term is:
aₙ = a₁rⁿ⁻¹aₙ = 40*(1/2)ⁿ⁻¹7. Which of the following is true?
1. For a pair of functions to be inverses, their compositions must be equal to 1.
2. In an inverse relation, coordinates of the ordered pairs are multiplied by 2.
3. An inverse of a function is always a function.
4. The horizontal line test is used to determine if a function's inverse will be a function.
Answer:
The horizontal line test is used to determine if a functions inverse will be a function. You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like: Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3 are inverses of each other.
Use the horizontal line test to determine if a function is a one-to-one function.
If ANY horizontal line intersects your original function in ONLY ONE location, your function will be a one-to-one function and its inverse will also be a function.
hope this helps
The horizontal line test is used to determine if a function's inverse will be a function is true. Correct option is 4.
1. This statement is not true. For a pair of functions to be inverses, their compositions (f(g(x)) and g(f(x))) must result in the identity function (1) for all values of x, not just for a specific value.
2. This statement is not true. In an inverse relation, the coordinates of the ordered pairs are swapped (x becomes y and y becomes x), not multiplied by 2.
3. This statement is not true. While many functions have inverses that are also functions, it is not a universal rule. Some functions may not have an inverse that is a function.
4. This statement is true. The horizontal line test is used to determine if a function has an inverse that is also a function. If a horizontal line intersects the graph of the function at more than one point, then the function does not have an inverse that is a function. However, if every horizontal line intersects the graph at most once, then the function does have an inverse that is a function.
To know more about horizontal line test:
https://brainly.com/question/21717394
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need help! Vertical stretch of 7, up 8, reflect over x axis
[tex]\frac{r}{2}+\frac{s}{r} -\frac{r}{4}+\frac{1}{5},r=-1,s=0[/tex]
Answer:
-1/20
Step-by-step explanation:
r/2 + s/r - r/4 + 1/5 =
= -1/2 + 0/(-1) - (-1)/4 + 1/5
= -1/2 + 1/4 + 1/5
= -10/20 + 5/20 + 4/20
= -5/20 + 4/20
= -1/20
HELP ME ASAP
If measuring the volume of a liquid is in milliliters (mL), what are the units if I wanted to measure the volume of a solid (like a cube)?
Answer:
cm3,m3 etc...
Step-by-step explanation:
SInce 3D objects are solids and are different than 2D measurements,we use the measurement Centimeters "Cubed".You may ask what do you multiply to get the volume of a solid?Well the way i was taught was Length * Width * Height.(Stars mean Multiplication)
e.g. Lets say you have a cube,the length is 3,width is 3,height is 4 this is how it looks like
V=L x W x H
=3 x 3 x 4
=36 cm3
That's how Volume is calculated
For the set C= {6,8}, determine n(C).
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
Hope it helps...
Describe the type of solution for the given system of linear equations.
x + 4y = 7
8y = 14 - 20
a. infinite solutions
b. two solutions
c. no solution
d. one solution
Answer:
B
Step-by-step explanation:
You go down 9 floors in an elevator. How would you write the integer?
Answer:
-9
Step-by-step explanation:
Going down= negative
Answer:
u write negative 9
Step-by-step explanation:
If a dozen paper clips weighs 9.6 g, and a pile of paper clips weigh 14.4 g, how many paper clips are in the pile
Answer:
18 paperclips are in the pile!
Step-by-step explanation:
We know that a dozen paperclips are equal to 9.6g, so we are going to divide 9.6 by 12 to figure out how much each paperclip weighs (0.8g). So we then divide 14.4 by 0.8 to figure out how many paperclips are in the pile! Hope this helps!
3. Ann wants to paste 18 posters on her bedroom wall. She wants to put the same
number of posters in each row. How many rows could Ann make, 4.5, 9 or 10?
Answer:
9
Step-by-step explanation:
18÷2=9
So, Ann could have 9 rows of posters with 2 posters in each row.
PLEASE HELP ASAP
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answer:
Step-by-step explanation:
Were you given answer choices? If so, please share them when you post your question.
The best way to improve the experimental probability would be to flip the coin more than 20 times; the more this is done, the better the estimate will be.
Rewrite 3/2 : 1/4
as a unit rate.
Answer:
6
Step-by-step explanation:
That would be:
3 6
---- -------
2 4
---------------- = -------------- = 6 This is the unit rate.
1 1
----- ------
4 4
Answer:
6
Step-by-step explanation: