Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:
<h3>What is the average rate of change of a function over an interval?</h3>
It is given by the change in the <u>output divided by the change in input</u>.
Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:
More can be learned about the average rate of change of a function at brainly.com/question/24313700
#SPJ1
Trial and error
tried 8 x 6 =48
i used 10 x 5 to get closer to 100
10 x 5= 50
50+ 48= 98 all I need is 6 which is 2 x 3
8 x 6 = 48
5 x 10= 50
3 x 2 = 6
Total = 104
Hope this helps
First, recall that
So if 
, then 
.
Second,
We know that 
and 
, which means we should also have 
.
Third,
but as we've already shown, we need to have , so we pick the negative root.
Finally,
Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.
Answer:
there is no greatest load
Step-by-step explanation:
Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:
x ≥ y +600 . . . . . my truck can carry at least 600 pounds more
x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers
Combining these two inequalities, we have ...
4/3y ≥ x ≥ y +600
1/3y ≥ 600 . . . . . . . subtract y
y ≥ 1800 . . . . . . . . multiply by 3
My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an <em>upper limit</em>. The given conditions do not place any upper limit on truck capacity.
Answer:
Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).
(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8
Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:
(x^² + 6x + 8) (x + 4)
= x^³ + 4x^² + 6x^² + 24x + 8x + 32
Collect the like terms together to give you:
x^³ + 10x^² + 32x + 32
