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3 years ago

If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

y = x-9

Step-by-step explanation:

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Alice has 12 more trees in her garden than Stephen has. After Stephen planted 10 more trees and Alice dug out 4, together they h

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Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

At the beginning:

Stephen = x trees

Alice = x + 12 trees

At the end:

Alice = (x + 12) - 4 trees

Stephen = x + 10 trees

Total = 36

Then

$((x+12)-4)+(x+10)=36\\ \\(x+12-4)+(x+10)=36\\ \\(x+8)+(x+10)=36\\ \\x+8+x+10=36\\ \\2x+18=36\\ \\2x+18-18=36-18\\ \\2x=18\\ \\x=9$

Stephen - 9 trees

Alice - 9 + 12 = 21 trees

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3 years ago

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63.64%

Step-by-step explanation:

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3 years ago

Nine raised to the five-minus-two power?

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Answer:

1. 9 raised to the third power is 729

2. 4 raised the the power of 1 is 1

Step-by-step explanation:

9*9= 81*9=729

4*1=4

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3 years ago

A cone has a diameter of 4 centimeters and a height that is 6 times the diameter. Using 3.14 for pi, which of the following can

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3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

Find the value of y

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?​

If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?