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3 years ago

Given that f(x)=x2-1 and g(x)=2x+8 find (g-f)(10)

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = x² - 1

g(x) = 2x + 8

To find (g-f)(10) first find ( g - f)(x)

To find ( g - f)(x) subtract f(x) from g(x)

That's

( g - f)(x) = 2x + 8 - ( x² - 1)

Remove the bracket

( g - f)(x) = 2x + 8 - x² + 1

Simplify

( g - f)(x) = - x² + 2x + 9

To find (g-f)(10) substitute the value in the bracket that's 10 into ( g - f)(x)

That is

(g-f)(10) = -(10)² + 2(10) + 9

= - 100 + 20 + 9

= - 100 + 29

= - 71

Hope this helps you

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P(x) is a polynomial with integer coefficients and p(-3) = 0.

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Answer:

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Please help with #12

ExtremeBDS [4]

Answer:

a. 1 1/8 b. 8/9

Step-by-step explanation:

You can set this up as a proportion to solve. For part a. we know that 2/3 of the road is 3/4 mile long. 2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length. Set up the proportion like this:

$\frac{\frac{2}{3} }{\frac{3}{4} } =\frac{\frac{1}{3} }{x}$

Cross multiplying gives you:

$\frac{2}{3}x=\frac{1}{3}*\frac{3}{4}$

The 3's on the right cancel out nicely, leaving you with

$\frac{2}{3}x=\frac{1}{4}$

To solve for x, multiply both sides by 3/2:

$\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2}$ gives you

$x=\frac{3}{8}$

That means that the road is still missing 3/8 of a mile til it's finished. The length of the road is found by adding the 3/4 to the 3/8:

$\frac{3}{4}+\frac{3}{8}=\frac{6}{8}+\frac{3}{8}=\frac{9}{8}$

So the road is a total of 1 1/8 miles long.

For b. we need to find out how much of 1 1/8 is 1 mile:

1 mile = x * 9/8 and

x = 8/9. When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.

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3 years ago

The taxi costs $2.25 for the first mile plus 15cents for each additional tenth of a mile. For a 5.2 mile trip, Eric payed $10 an

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2.25 for the first mile. That leaves 4.2 miles.

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The driver's tip was $1.45.

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2 years ago

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