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4 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

1 answer:

postnew [5]4 years ago

4 0

Answer:

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

===================================

Look at the picture.

The graph of F(x) shifted 1 unit to the right and 3 units down.

Therefore the equation of the function G(x) is

$G(x)=(x-1)^2-3$

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A homeowner estimates that it will take 11 days to roof his house. A professional roofer estimates that he could roof the house

pogonyaev

<h2>Answer:</h2>

It will take 3.88 days

<h2>Step-by-step explanation:</h2>

Let x= Number of days it will take both the homeowner and the roofer to roof the house.

After x days, we can know that:

1. The homeowner will do:

$\frac{x}{11}$ of the job

2. The roofer will do:

$\frac{x}{6}$ of the job

Furthermore:

$\frac{x}{11}+\frac{x}{6}=1$ Because both complete the whole job

Solving this equation:

$\frac{x}{11}+\frac{x}{6}=1 \\ \\ Multiplying \ by \ 66: \\ \\ 66(\frac{x}{11}+\frac{x}{6}=1) \\ \\ 66(\frac{x}{11})+66(\frac{x}{6})=66 \\ \\ 6x+11x=66 \\ \\ 17x=66 \\ \\ Dividing \ by \ 17: \\ \\ x= \frac{66}{17}=3.88 \ days$

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3 years ago

Roses are $2.50 each and lilies are $1.25 each. Ellis spent $28.75 for 15 of the flowers. How many of each type of flower did he

goldenfox [79]

Answer:

8 roses, 7 lilies

Step-by-step explanation:

8 roses = 20$

7 lilies = 8.25$

Added together they equal 28.75 $

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3 years ago

Which Graph Matches The Table?

Ulleksa [173]

Answer:

graph W

Step-by-step explanation:

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Answer:

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