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3 years ago

Find the equation of the line with a slope of 2/5 and containing the point (10,6).

Mathematics

1 answer:

Kipish [7]3 years ago

4 0

Use the poin-slope form of the equation of a line:-

y - y1 = m(x - x1) (where m = slope and the point is (x1, y1))

Plugging in the given values:-

y - 6 = 2/5(x - 10)

multiplying through by 5:-

5y - 30 = 2(x - 10)

5y - 30 = 2x - 20

5y = 2x + 10

In standard form the equation is

2x - 5y = -10 (answer)

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Which graph represents the function f(x)= 0.2^x + 3

Dennis_Churaev [7]

The third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

When $x=0,$ $f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.$

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

The value of f(x) when $x=1$ is lesser than the value of f(x) when $x =0.$

So the third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

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Eduardwww [97]

Answer:

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Step-by-step explanation:

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3 years ago

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour

Deffense [45]

Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

$\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}$

Apply cross multiplication

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klasskru [66]

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