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Step2247 [10]
3 years ago
10

Find the equation of the line through the given pair of points. (-7,-6) and (-4,9)

Mathematics
1 answer:
Softa [21]3 years ago
6 0

Answer:

y=5x+29

Step-by-step explanation:

1. find slope

y2-y1/x2-x1

9--6/-4--7= 15/3=5

2. substitute x and y

(-4, 9)= 9=5(-4)+b

            9=-20+b

             29=b

3. put it together

y=5x+29

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f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

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6 0
3 years ago
Given that 5 x − 3 y = 32 Find y when x = 4
ollegr [7]

Answer:

<h2><em>y</em><em>=</em><em>-</em><em>4</em></h2>

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<em>X=</em><em>4</em>

<em>Now</em><em>,</em>

<em>5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \:  - 3y = 32 - 20 \\ or \:  - 3y = 12 \\ or \: y = -   \frac{12}{ 3}  \\ y =  - 4</em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

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4 0
3 years ago
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What dose this equal 2(6x-4)=3(6x+2)
AveGali [126]

Answer:

-7/3

Step-by-step explanation:

2(6−4)=3(6+2)

2(6x-4)=3(6x+2)

Solve

1

Distribute

2(6−4)=3(6+2)

{\color{#c92786}{2(6x-4)}}=3(6x+2)

12−8=3(6+2)

{\color{#c92786}{12x-8}}=3(6x+2)

2

Distribute

12−8=3(6+2)

12x-8={\color{#c92786}{3(6x+2)}}

12−8=18+6

12x-8={\color{#c92786}{18x+6}}

3

Add

8

8

to both sides of the equation

12−8=18+6

12x-8=18x+6

12−8+8=18+6+8

12x-8+{\color{#c92786}{8}}=18x+6+{\color{#c92786}{8}}

5 more steps

Solution

=−7/3

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2 years ago
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Answer:

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  f(x)=\sqrt{x}-2

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