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3 years ago

The table below shows the velocity y, in miles per minute, of a toy car at different times x, in minutes:

1 answer:

4 0

The value of the slope of the graph of the velocity versus time between 10 minutes and 20 minutes would be .06. I got to this answer by getting the changes in the rise (y) over run (x) of the table:

slope = y2- y1 / x2-x1
= .8-.2 / 20-10 mi / min
= .6 / 10 min
= .06

Then for the follow up question, the slope represents the distance traveled of the toy car (in miles).

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bekas [8.4K]

198.94

Subtract 3 TVs from 60.

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3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

Kenny wrote the equation for a linear relationship shown below

Ilia_Sergeevich [38]

Y would equal -17! Good luck!

4 0

3 years ago

Read 2 more answers

Which of the following theorems verifies that ABC ~ STU?

Lunna [17]

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

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3 years ago

Please answer this correctly without making mistakes

lana [24]

Answer:

1 pound 3 ounces

Step-by-step explanation:

Lemme know if it's correct

5 0

3 years ago