You're very close. However, the less steep line should go through (4,7) and not some point slightly above that location. Also, the shaded region should be above both dashed lines at the same time. So you won't include the portion that I've marked in blue (see attached). Other than that, it looks great.
The maximum volume would be when the bottom of the box is a square.
The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.
Then to find volume multiply the length by the width by the height:
Volume = 9 x 9 x 4 = 324 cm^3
The answer would be a.
The sign of f on the interval -7/3 < x < -3/5 is always positive.
<h3>How to solve for the sign on the interval</h3>
We have the equation
(5x+3)(x−2)(3x+7)(x+5) > 0
Now when f(x) > 0
Then -7/3 < x < -3/5
This would tell us that the sign would become positive when it changes from the less than to greater than sign
<h3>Complete Question</h3>
f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2
What is the sign of f on the interval -7/3<x<-3/5?
answer choices
f is always positive on the interval
f is always negative on the interval
f is sometimes positive and sometimes negative on the interval
f is never positive or negative on the interval
Read more on polynomials here:
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Answer:
1300
Step-by-step explanation:
We are given
x = 35
[rate of change of price with time]
We want to find 
, which is the rate at which supply is changing.
First, we need to implicitly differentiate the equation given:
Here, we have what we need except for p. We find p when x = 35:
Now, find dx/dt:
In thousands, 1.30 * 1000 = 1300 cartons per week decrease
Answer:
Step-by-step explanation:
have the triangles written in the same order to se the corresponding angles
C A . T
⇵ . ⇵ . ⇵
D O . G
∠D ≅∠C
∠O ≅∠A
GD ≅TC
10.
you have an isosceles triangle with vertex angle 48 so the base angle is
(180-48)/2 = 66
32+ x = 66 because is an exterior angle
x= 66-32 = 34
