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3 years ago

Which of the following is a solution of y > |x| - 5? a.(4, -1) B.(-1, -4) C.(-4, 1)

1 answer:

8 0

Fill your inequality in with the y and x provided and then do the math. (4, -1) would fill in like this (I will use brackets to indicate absolute value symbols, since there are none in the equation editor): $-1\ \textgreater \ [4]-5$ The right side is in fact equal to the left side so that's not the answer. For (-1, -4): $-4\ \textgreater \ [-1]-5$ and these are also equal. Let's try C now (-4, 1): $1\ \textgreater \ [-4]-5$ . The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1. So C is our answer.

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F(x) = x2. What is g(x)?

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Answer:

i think is is c but I not sure.

Step-by-step explanation:

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2 years ago

If m A.) 2 B.) 4 C.) 5 D.) 3

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2 years ago

Using the function attached. Find (f+G)(x)

sp2606 [1]

We have been given two functions $f(x)=-8x^3+5x^2+7x+4$ and $g(x)=8x^3-2x+3$ . We are asked to find $(f+g)(x)$ .

We will use composite function property $(f+g)(x)=f(x)+g(x)$ to solve our given problem.

$(f+g)(x)=-8x^3+5x^2+7x+4+8x^3-2x+3$

Now we will combine like terms as:

$(f+g)(x)=-8x^3+8x^3+5x^2+7x-2x+4+3$

$(f+g)(x)=5x^2+5x+7$

Therefore, the value of $(f+g)(x)$ would be $5x^2+5x+7$ .

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3 years ago

Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side le

I am Lyosha [343]

Answer:

maybe

Step-by-step explanation:

Dora is apparently assuming the dimensions are integers. In that case she is correct.

If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.

For some perimeter P and side length x, the area is ...

A = x(P/2 -x)

Conversely, the perimeter for a given area is ...

P = 2(A/x +x)

This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.

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2 years ago

The cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches high. How much greater

nasty-shy [4]

Answer:

Formula of the volume for a cube= s^3 (side, length, width, or edge is acceptable for s)

Formula of the volume for a rectangular prism= lwh (length*width*height)

= 50 cubic in. more

Step-by-step explanation:

cube: 6^3

6x6x6

36x6

216

rectangular prism: 10x4x4

10x16

160

cube - rectangular prism= Difference between cube and rectangular prism

216 - 160 = 50

*REMEMBER that when dealing with volume the units are cubic (whatever), in this case, its cubic inches(in^3).

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3 years ago