Answer:
The answer is y² - 23y + 120.
Step-by-step explanation:
The steps to do :
g(x) = x² - 7x
g(y - 8) = (y - 8)² - 7(y - 8)
g(y - 8) = y² - 16x + 64 - 7y + 56
g(y - 8) = y² - 23y + 120
g(y-8) is equal to the quadratic expression y² - 23y + 120.
To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.
Replacing x with y-8, the function becomes:
g(y-8) = (y-8)² - 7(y-8)
To simplify, we expand and simplify the expression:
(y-8)² = (y-8)(y-8) = y² - 16y + 64
-7(y-8) = -7y + 56
Combining the terms, we have:
g(y-8) = y² - 16y + 64 - 7y + 56
Simplifying further:
g(y-8) = y² - 23y + 120
Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.
By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.
To learn more about the quadratic function;
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Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
A. 360 ounces
B. 180 ounces
C. 90 ounces
D. 190 ounces
The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tables to list the possibilities
Answer:
x=5 y=3
Step-by-step explanation:
x+y=8 1
x-y=2 2
x+y=8
y=8-x
substitute into 2
x-(8-x)=2
x-8+x=2
2x=10
x=5
substitute x into 1
5+y=8
y=3
5+3=8
5-3=2
Casey paid a total of $24.00 for 4 shirts. If each shirt costs the same amount, what is the price of one
shirt?
Answer:
$6
Step-by-step explanation:
6 x 4 = 24
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought. Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year?
Answer:
System of Equations is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
Step-by-step explanation:
Let us represent
The number of Cold lunch = c
The number of Hot lunch = h
The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.
Hence:
c = 2h - 1
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.
Hence:
$1.80 × c + $3.00 × h = $288.60
1.8c + 3h = 288.60....Equation 2
The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:
c = 2h - 1...... Equation 1
1.8c + 3h = 288.60....Equation 2
The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Let h represents hot lunch, and c represents cold lunch.
So, we have:
[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{c = 2h - 1}[/tex]
Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]
[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]
Expand
[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]
Collect like terms
[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]
[tex]\mathbf{6.60h = 290.4}[/tex]
Divide both sides by 6.60
[tex]\mathbf{h = 44}[/tex]
Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]
[tex]\mathbf{c = 2(44) - 1}[/tex]
[tex]\mathbf{c = 83}[/tex]
Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]
Read more about simultaneous equations at:
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help plz i dont undertand
Answers:
x = 4AB = 36BC = 36AC = 36All three sides are 36 units long.
===========================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
AB = 8x+4 = 8*4+4 = 32+4 = 36BC = 11x-8 = 11*4-8 = 44-8 = 36AC = 9x = 9*4 = 36We get the same value for the three side lengths, so this confirms we have the correct x value.
Find the value of x.
Z
Y
11x – 10
80°
W
X
Answer: I think the value of x is 20 but im not sure
Step-by-step explanation:
no explanation here
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.
The two triangles above are similar. Find the value of x. Be sure to explain your steps.
Answer:
8
Step-by-step explanation:
We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.
Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side
4/10=x/20
Cross multiply: 10x=80
x=8
Answer:
x = 8 inchesStep-by-step explanation:
As the triangles are similar, their corresponding sides will have same ratio:
left short side /right short side = left long side / right long sideor simpler
s₁/s₂ = l₁/l₂Substitute values to find the missing one:
4/x = 10/204/x = 1/2x = 4*2x = 8The missing side is 8 inches long
Which fraction has a a value that’s equal to 3/4?
The ratio : y is 3:1
Which of the following statements is correct?
A x is 3/4 of y
B y is 1/3 of x
c x is 1/3 of y
D y is 1/4 of x
Answer:
y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
mathematically, we have this as;
x/y = 3/1
x = 3y
or y = x/3
So the correct answer is that y is 1/3 of x
Pls help and show workings
Due ASAP
Answer:
ASA angle side angle
Step-by-step explanation:
DE=JH(given)
angle E= angle H (given)
angle D=angle J (given)
Given g(x) = - 4x + 4, find g(3).
Answer:
Answer:
-8
Step-by-step explanation:
substitute x with 3
-4(3) + 4
simplify (multiply)
-12+4
simplify
-8
Answer:
g(3) = -8
Step-by-step explanation:
g(3) = -4x + 4 Substitute 3 for X:
g(3) = -4(3) + 4
-4 * 3 = -12
g(3) = -12+4
g(3) = -8
A calculator is listed for $110 and is on clearance for 35% off. Sales tax is 7%. What is the cost of the calculator?
Answer:
$76.51
Step-by-step explanation:
I found how much the calculator cost on clearance first. Then I found the sales tax and added them together.
There was 20 coins and 4 bags and you have to put all the coins to make it even in all 4 bags how many coins go in each bag?
Answer:
5
Step-by-step explanation:
20/4 = 5
Can some one solve 4 for me plz I’ll give a crown
Answer: I'm pretty sure it's the 3rd one
Step-by-step explanation:
A diver went down 25.55 feet below the surface of the ocean, and then 11.5 feet further down, he then rose 12.25 feet. Enter and solve an expression to find the diver's new depth.
Answer: it would be 24.8ft
write the expanded form of the expression y(0.5+7) please help me thanks!!!
Answer: y(0.5+7)
= 0.5y+7y
7.5y
Step-by-step explanation:
Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 pint of ice cream, how many guests can Taylor serve?
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15
What is the value of x^2 – 3 when the value of x is 4?
Answer: the value is 13
Step-by-step explanation:
we simply substitute the letter for the number 4.
4^2 - 3
16 - 3
13
Answer:
13
Step-by-step explanation:
Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^
Can someone help me with this?
SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?
Answer:
It is C
Step-by-step explanation:
At the age of 14, Lois was 5 foot 3 inches tall. After hitting a growth spurt, at the age of 16, Lois was 5 foot 11 inches tall. What is the percent of increase in Lois' height over that time?
Answer:
I don't drive r8s I don't like those I drive a Daytona and I tinted the windows
Answer:
c
Step-by-step explanation:
17)
Let X = {x | x is a whole number less than 10}, Y = {yly is an even number}
What is XnY?
A)
{0, 2, 4, 6, 8}
B)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
C){1,3,5,7,9)
D)
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Answer:
answer of XnY where Y is an even no and X is a whole number less than 10 is
A {0,2,4,6,8}
Answer:
Step-by-step explanation:
How does hiphop use energy as a element of dance PLEASE ANSWER
Answer:
Energy can happen with movement. Dance requires a bunch of movement.
dancing is the use of force, tension, and weight.
(3,8) (9,0) find the slope
AA two-story building measures 21 feet from the ground. A scale model shows the building to be 3 inches tall. How many inches would an 84 foot building be in the model?
Answer:
12 inches
Step-by-step explanation:
21 feet = 3 inches (in a model)
84 feet = 12 inches (in a model)
84 ÷ 21 = 4
3 × 4 = 12
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answer:
Step-by-step explanation:
We start at (-7, 7). A translation of 1 unit to the right results in (-6, 7). A translation down from there results in (-6, 4). This is the desired image point.
A population of 752,000 people decreases at a rate of 1.4% each year. Let t represent the number of years and A(t) represent the amount after years, Which function models this situation?
Solution :
Initial population, P = 752,000 .
Rate of decrease, r = 1.4 % .
Now, population decrease in 1st year :
[tex]P_1 = P( 1 - 0.014 )[/tex]
Also, population decrease in 2nd year :
[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]
Similarly for each next x year, population will be :
[tex]P_x = P( 1-0.014)^x[/tex]
Therefore, population after x years is given by :
[tex]P_x = 752000 ( 1-0.014)^x[/tex]
PLEASE HELP
What is the solution
3/4x+2x-3=-1/4x+21
Answer:
x=1/27
Step-by-step explanation:
In attachment...
Please send help ASAP.
Answer:
d. -4 <= x - 5
Step-by-step explanation:
I think youre asking about question 5.
First replace the x with the -2 in every problem.
Now solve:
a. 6 × -2 < 10
6 times -2 is -12, and -12 is less than -10, so that ones true and not the answer
b. -2 × -2 > -3
-2 times -2 is 4, and 4 is greater than -3, so that ones true and not the answer
c. -2/4 <= 0
-2 divided by 4 is -1/2, and -1/2 is less than 0. so that ones true and not the answer
So obviously the answers d, but we're gonna check anyway
d. -4 <= -2 - 5
-2 minus 5 is -7, and -7 is not less than -4, so its not true and the answer