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Iteru [2.4K]
3 years ago
12

What are the quotient and remainder of (3x^3-2x^2-8)/(x+5)

Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

Quotient 3x^2 - 17x + 85   remainder -433.

Step-by-step explanation:

Perform Long Division:

        3x^2 - 17x + 85   <---------Quotient

        ----------------------

x + 5) 3x^3 -  2x^2 + 0x  - 8

         3x^3 + 15x^2

                  - 17x^2 + 0 x

                  - 17x^2 -85x

                               85x   -   8

                                85x + 425

                                            -433  <------ Remainder.

MAXImum [283]3 years ago
5 0

Answer:

The quotient : 3x^2 — 17x + 85

The remainder = — 433

Step-by-step explanation:

3x^3-2x^2-8)/(x+5)

The above can be solved by following the illustration in the attached file.

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3 0
3 years ago
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To avoid mildew and mold, Clay's new oat barn has an open shaft lengthwise through the barn with small holes drilled throughout
Nadusha1986 [10]

Answer:

Therefore, Clay can order 1,776 cubic feet of oats.

Step-by-step explanation:

To determine how many cubic feet of oats the barn can hold, break the barn up into three sections, the rectangular prism that makes up the bottom section of the barn, the triangular prism that makes up the top of the barn, and the rectangular prism that makes up the shaft.

The rectangular prism that makes up the bottom section of the barn is 12 feet wide, 16 feet long, and 8 feet high. Use the formula for the volume of a rectangular prism to find the volume.

Therefore, the volume of the bottom rectangular prism is 1,536 cubic feet.

The triangular prism that makes up the top section of the barn is 12 feet wide, 4 feet high, and 16 feet long. Use the formula for the volume of a triangular prism to find the volume.

Therefore, the volume of the top triangular prism is 384 cubic feet.The rectangular prism that makes up the shaft through the barn 3 feet wide, 3 feet high, and 16 feet long. Use the formula for the volume of a rectangular prism to find the volume.

Therefore, the volume of the shaft is 144 cubic feet.

The total volume available to store oats is the volume of the bottom section plus the volume of the top section minus the volume of the shaft.

4 0
3 years ago
Sin x = cos53° what is the value of x?
andreyandreev [35.5K]
X = 37 degrees.

Sine and cosine are complementary, which means when they are added together, the equal 90. So, to find sine, subtract 53 from 90, to get x = 37.

Here is an image to show this.

I hope this helps!

3 0
3 years ago
8(x+2) Evaluate when x=3
Burka [1]

When the value of x is 3, evaluate;

8(x+2)

Substitute for the value of x into the parenthesis;

\begin{gathered} 8(x+2)=8(3+2) \\ 8(x+2)=8(5) \\ 8(x+2)=40 \end{gathered}

ANSWER:

The expression equals 40 (when x = 3)

6 0
1 year ago
If the diameter of the following circle is tripled, which of the following expressions could be used to find the area of the new
sashaice [31]

Answer:

9(254.34 in. 2)

and

7ft

Step-by-step explanation:

6 0
3 years ago
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