Simplify (x-4) (x^2 + 3x + 2)

Answers

Answer 1

Answer:

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

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The equation of a line is y=2/3x+5. What is an equation of the line that is perpendicular to the given line and that passes through the point (4,2)?

Answers

The gradient of this line is 2/3 so the gradient of the perpendicular line is -3/2 (the two perpendicular gradients must multiply to get -1).

Using the formula y - y1 = m (x - x1):

y-2=-1.5(x+4)

This can be rearranged to:

2y-4=-3x-6
2y+3x=-2

Which shows the dimensions of two rectangular prisms that have volumes of72cm3
but different surface areas?

A.
6 cm by 3 cm by 4 cm;
12 cm by 2 cm by 3 cm

B.
2 cm by 4 cm by 9 cm;
9 cm by 4 cm by 2 cm

C.
3 cm by 3 cm by 8 cm;
2 cm by 6 cm by 8 cm

D.
6 cm by 3 cm by 4 cm;
9 cm by 4 cm by 3 cm

Answers

The dimension of the rectangular prism with different surface areas will be 2 cm by 4 cm by 9 cm. Then the correct option is B.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the rectangular prism is 72 cubic cm.

Then the factor of the number 72 will be

72 = 2 x 2 x 2 x 3 x 3

Then the dimension of the rectangular prism will be

L x W x H = V

L x W x H = 72

L x W x H = 2 x 2 x 2 x 3 x 3

L x W x H = 2 x 4 x 9

The dimension of the rectangular prism with different surface areas will be 2 cm by 4 cm by 9 cm. Then the correct option is B.

More about the volume of the rectangular prism link is given below.

brainly.com/question/21334693

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The answer is B
volume of rectangular prism = (area* height )
so 2 * 4 * 9 = 72 cm3
9* 4 * 2 = 72 cm3
but they have differant surface area

Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day

Answers

In the question "Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day" To obtain the expression that represents her gross pay each day, we divide the given expression by 7 to get (35h + 56) / 7 = 35h / 7 + 56 / 7 = 5h + 8 Therefore, the expression that represents her gross pay each day is 5h + 8.

Answer:

Step-by-step explanation:

Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost and 8 parts soil. He wants to end up with 12 kilograms to mix. How many kilograms of compost should Gabriel use?

Answers

I thought about it this way; the ratio between compost and soil is 2/8. 2/8 is also equal to 1/4, and 1/4 of 12 is 3. So you'd want 3 kilograms of compost a d 9kg of soil. (:

about 0.9 i think. i may be wrong so dont take my word for it

Veronica earned $150 at work this past week in her paycheck. She wants to buy some necklaces which costs $6 each. She writes a function to model the amount of money she will have left from her paycheck after purchasing a certain number of necklaces. She writes the function, f(x)= 15 - 6x. Determine what x and f(x) stand for in the function.

(1) x=weeks; f(x)= dollars left

(2) x=dollars left; f(x)= weeks

(3) x=necklaces; f(x)= dollars left

(4) x=dollars left; f(x)= necklaces