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3 years ago

Slope of (-4, 10) and (8,-2)

Mathematics

2 answers:

LenaWriter [7]3 years ago

5 0

The following shows the work and answer to your question:

Zielflug [23.3K]3 years ago

4 0

Answer:

Slope for a line that passes through (-4, 10) and (8, -2) is -2/3

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Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

$b^{4} = 16\\b=\sqrt[4]{16} \\b=2$

Put the b value in equation 2

$a=\frac{3}{2}\times 2$

$a=3$

Put the a and b value in equation 1

$y=3(2)^{x}$

So, the exponential function that passes through the points $(-1,\frac{3}{2})$ and $(3,24))$ are $y=3(2)^{x}$ .

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3 years ago

Mary has 2 1/3 yards of fabric.<br><br><br><br> She wants to cut the fabric into 1/6 yard strips.

ss7ja [257]

Answer:

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Step-by-step explanation:

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The length of a garden can be expressed as 2X +6 feet and the width is X +7 feet what is the perimeter of the garden what is the

Virty [35]

Answer:

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Step-by-step explanation:

Assuming the garden is a rectangular shape, we have four sides, where two sides are 2x + 6 feet and two sides are x + 7 feet. To find the perimeter, we add up the lengths of all four sides.

2x + 6 + 2x + 6 + x + 7 + x + 7

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Nikolay [14]

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