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3 years ago

Simplify the polynomial then evaluate for x=-1 3x^2-4+2x-1+x^2

Mathematics

1 answer:

yuradex [85]3 years ago

7 0

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

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If x represents the number of years since 2000 and y represents the gas price, predict what the difference between the gas price

natali 33 [55]

The difference between the gas prices in 2013 and 2001 is 3.00

<h3>The linear equation of the graph </h3>

Start by calculating the slope of the line of best fit using:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

From the line of best fit, we have:

$m = \frac{3 - 2}{8 - 4}$

$m = \frac{1}{4}$

The regression equation is then represented as:

$y = m(x -x_1) + b$

So, we have:

$y = \frac 14(x -4) + 2$

$y = \frac 14x -1 + 2$

$y = \frac 14x +1$

Express as decimals

$y = 0.25x +1$

<h3>The price of the gas</h3>

In 2001, the value of x is 1

So, we have:

$y = 0.25(1) +1 =1.25$

In 2013, the value of x is 13.

So, we have:

$y = 0.25(13) +1 =4.25$

So, the difference (d) between the prices is:

$d = 4.25 - 1.25$

$d = 3.00$

Hence, the difference between the gas prices in 2013 and 2001 is 3.00

Read more about linear regression at:

brainly.com/question/26137159

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The leg of the hypotenuse of a right triangle is 13 cm. The length of one leg is 5 cm. Find the length of the other leg.

slavikrds [6]

A^2 + b^2 = c^2....and c is the hypotenuse

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