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timama [110]
3 years ago
9

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
Dafna1 [17]

Answer:

Stephen has 9 trees

Alice has 21 trees

Step-by-step explanation:

<u>At the beginning:</u>

Stephen = x trees

Alice = x + 12 trees

<u>At the end:</u>

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

8 0
3 years ago
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Otse verharan's office maskiner weighed 550 grams on the second visit the kinen had gained 350 grams. On the two visit the
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Answer:

63.64%

Step-by-step explanation:

4 0
3 years ago
Nine raised to the five-minus-two power?
bonufazy [111]

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

8 0
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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I hope this helps you

4 0
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

<em>Find the value of y</em>

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

<em>Find the values of x</em>

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
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