Weiart000

3. Hint: Simplify both equations to its simplist.

4x + 15 > -9

4x > -24

x > -6

4. Hint: Plug in the answers from the multiple choice list.

I 4x + 3 I = 3

I 4(0) + 3 I = 3

I 3 I = 3 

4(-3) + 2 = -6

-12 + 2 = -6

-10 = -6 ?

distribute them out:

9(x^2)(y^3)(12)(x^-3)(y^5)(2)(x)(y) =

(9 * 12 * 2)(x^2 * x^-3 * x)(y^3 * y^5 * y) =

(216)(1)(y^9) =

216 * y^9

still incorrect. its "perpendicular"

The perimeter of the rectangle would be:

L + W + L + W = 46

We know the convertion from L to W, so we change that:

(3 + 3W) + W + (3 + 3W) + W = 46

Simplify:

3 + 3 + 8W = 46

8W = 40

W = 5cm

Plug back in to find L:

2(5) + 2L = 46

2L = 36

L = 18cm

Not 100% sure what "fixed costs" is, but im guessing thats how much money the company gets to use each day. This would mean that they have to pay 4.75 to make one hammer, so you would need 4.75x. Next, since they are given 400 to use, it would come up to C(x) = 4.75x + 400

From the equation y = -2/5(x) + 8, we can see that any perpendicular line will have 5/2(x) in it. Next, we try and get the line to go through the point (7,2). This means that when we plug in 7 as the x, we should be able to get 2 as the answer for the equation:

y = 5/2(x) +/- [ ... ]

2 = 5/2(7) +/- [ ... ]

2 = 35/2 +/- [ ... ]

-31/2

Now we add that to the equation:

y = 5/2(x) - 31/2

First find the slope:

Change in y = 2 - (-4) = 6

Change in x = -1 - (-3) = 2

Remember to subtract in the correct order... if you use y₁ - y₂, then you have to do x₁ - x₂.

Another note, the order in which you subtract (y₁ - y₂ or y₂ - y₁) does not matter.

The slope: 6/2 = 3

To find a parallel slope, you need to remember that it's negative, then reciprocal. In this case:

3 => -3 => -1/3

Sorry, can't tell you what the actual answer is, but the guest is most likely incorrect.