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3 years ago

What is the volume of the prism

Mathematics

2 answers:

maria [59]3 years ago

8 0

Answer: it may be 85 but i didnt get anything else

Natalija [7]3 years ago

5 0

Answer:

270 in^3

Step-by-step explanation:

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I am confused in this can someone help?

fgiga [73]

Answer:

$\huge\boxed{\sf a = -12 , b = 8}$

Step-by-step explanation:

<u>Given polynomial is:</u>

$f(x) = ax^3+ b^2 + 3x + 4$

$\rule[225]{225}{2}$

First factor is (x-1)

Let x - 1 = 0 => x = 1

Putting this in the above polynomial

$f(1) = a(1)^3 + b(1)^2 + 3(1) + 4$

Given that it's remainder is 3

$3 = a + b + 3 + 4$

$3 = a + b + 7$

Subtracting 7 to both sides

$-4 = a + b\\OR \\$

$\rule[225]{225}{2}$

Second Factor is 2x + 1

Let 2x + 1 = 0 => x = - 1 / 2

Putting in the above polynomial

$f(-\frac{1}{2} ) = a (-\frac{1}{2} )^3 + b (-\frac{1}{2} )^2 + 3 (-\frac{1}{2} ) + 4$

The remainder is 6

$6 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2} + 4\\6 - 4 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2}\\2 = \frac{-a + 2b -12 }{8} \\-a + 2b - 12 = 16\\-a + 2b = 16 + 12\\$

$\rule[225]{225}{2}$

Adding both equations

a + b - a + 2b = -4 + 28

3b = 24

Dividing both sides by 3

b = 8

$\rule[225]{225}{2}$

Putting b = 8 in Equation (1)

a + 8 = -4

a = - 4 - 8

a = -12

$\rule[225]{225}{2}$

8 0

3 years ago

Let's say that you want to paint a room in your house. The room has rectangular walls. Each wall is 8 feet high. Two of the wall

lilavasa [31]

The answer is 432...........

3 0

3 years ago

A linear function contains the following points. What are the slope and y-intercept of this function?

Scrat [10]

Answer:

slope: -1

y-intercept: 6

Step-by-step explanation:

y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)

(6-8)/(0 - (-2)) = -2/2 = -1

8 0

1 year ago

What are the primary colors?

lawyer [7]

Red, yellow, and blue.

6 0

2 years ago

Read 2 more answers

Which equation represents a line that passes through the two points in the table? y 3, 1 x6,6

egoroff_w [7]

Answer:

the answer is 20. 46

and dont report me for this meme i give you ok

Step-by-step explanation:

5 0

2 years ago