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Nastasia [14]
3 years ago
10

Write an equation of a line that passes through the point (8,4) and is parallel to the line y = 4x + 2.

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

y=4x-28

Step-by-step explanation:

slope is 4

y-4=4(x-8)

y-4=4x-32

y=4x-32+4

y=4x-28

the slopes of parallel lines are equal

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Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

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4 years ago
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Answer:

x = 23

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