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3 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

f(h(x))= 2x-4

Step-by-step explanation:

f(h(x))=f(2x+3)=2x+3-7= 2x-4

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Graph the equation<br>y=-(x+2)^2+7

ELEN [110]

Step-by-step explanation:

Distribute:

=−x2+−4x+−4+7

Combine Like Terms:

=−x2+−4x+−4+7

=(−x2)+(−4x)+(−4+7)

=−x2+−4x+3

Answer:

=−x2−4x+3

7 0

3 years ago

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Lerok [7]

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3 years ago

1. Consider the function f(x) = x² – 9. Algebraically determine the domain of y = Vf(x) . State using set notation.

AfilCa [17]

Answer:

-3<x<3

Step-by-step explanation:

let y=0

0=x^2-9

0=(x+3)(x-3)

x=-3 and x=+3

8 0

3 years ago

An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is

Elis [28]

Answer:

Part 1) 10 modules per floor

Part 2) Two different rectangular prism

Step-by-step explanation:

Part 1)

Let

x ----> the number of modules

y ---> the number of stories

we have

$x=150\ modules\\y=15\ stories$

Divide the number of modules by the number of stories

$\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}$

Part 2) How many different rectangular prisms could be made from that number?

The number is 10

Look at the factors of 10

They are 1,2 ,4,5 and 10

Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10

There are 2 combinations that will work :

1 0×1×1

2 ×5×1

4 0

3 years ago

What should i do now please help me<br><br><br>

m_a_m_a [10]

Answer:

x=24

Step-by-step explanation:

Here, you need to make proportion and find x.

12:16=18:x

We multiply 12 by x and 16 by 18:

12x=288

Divide by 12 both sides :

x=24

6 0

3 years ago