Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another, that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:
Let's start with x = 1.
f(1) =
so
f(1) = 16 and the coordinate is (1, 16).
f(5) =
so
f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:
So the answer is -6.
To "break even" means that the costs are equal to the money made, so profit would have to be 0. Therefore, we can rewrite the equation to be
0 = x3 -4x2 +5x -20
From here, all you have to do is factor to be able to solve for the values of x
First, since the first two numbers both have an x2, we can factor that out
x2(x-4) + 5x -20 = 0
The next two can factor out a 5
x2(x-4) + 5(x-4) =0
Since both of these terms share an (x-4), they can be factored to become:
(x-4) (x2 +5) = 0
So now we just solve for x, and get x = 4, and +- (sqrt) 5i
Since 4 is the only answer present in the options (and since 5i is a non-real number), the answer would be 4
ANS: D
Hope this helped ^-^
Answer:

Step-by-step explanation:
Givens
- The top soil weighs 40 pounds per bag.
- The mulch weighs 20 pounds per bag.
- The cart can only carry up to 480 pounds.
Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign
.
Now, let's call
the top soil and
the mulch, the inequality that represents this problem, would be

Answer: 22
Step-by-step explanation:
She sold two tubs of Oatmeal Raisins and it's 6 dollars a tub so we can do 6*2 or 6+6 (doesn't matter). We get $12. Then, she also sells 2 tubs of Peanut Butter, and since it's $5 a tub, then we do 5*2 or 5+5 to get 10. We add 12 and 10 (12+10) and get 22.
I'm not sure if this is right because you added $22, $24, $20, and $11 and I'm not sure what the purposes of those are.
Answer:
-7+c
Step-by-step explanation:
distribute the - 1