Answer:
The graph of the equation is shown in the picture attached below.
We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.
This means that for any value of the width greater than 12, the function cannot model the situation.
Making the equation only valid for
w ∈ [0,12]
Answer: 52.5 units squared
Step-by-step explanation:
The formula to find the area of a trapezoid is, (base1 + base2)/2 * height
So you find out which variable is which
Base 1 = 4
Base 2 = 3
Height = 15
Then plug it into the formula,
(4+3)/2 * 15
Then solve the order of operations
7/2 * 15
3.5 * 15
52.5 is the answer
Answer: See explanation
Step-by-step explanation:
Amount of yards of fabric for the shawl = 2 1/2
Amount of yards of fabric for the dress = 1 3/4
Total amount of yards needed
= 2 1/2 + 1 3/4
= 2 2/4 + 1 3/4
= 3 5/4
= 3 + 1 1/4
= 4 1/4
Since she has 3 yards of fabric, the number of yards needed more will be:
= 4 1/4 - 3
= 1 1/4
If each yard = 7.98, the amount needed will be:
= 1 1/4 × 7.98
= 1.25 × 7.98
= 9.975
Answer:
25 to the power of 3.
Step-by-step explanation:
we got 25 schools ordering newspapers for 25 classes of 25 kids. that's 25x25x25. it wants the number of pages total, and since there's 25 pages in each newspaper we add another 25. so it's 25x25x25x25, also known as 25 to the power of 3.
117/3 = 39
39 + 39 + 39 = 177
They must be consecutive.
The integers are 37, 39, and 41.
