Answer:
c. x = 6 only
Step-by-step explanation:
In order to calculate the zeros of f(x), we need to set it equal to zero and find the corresponding values of x.

Using the midterm breaking, we can split -12x into two such terms whose sum will be -12x and product will be 36x². These two terms are -6x and -6x
So, the above expression can be written as:

This means, the zero of f(x) occurs at x = 6 only.
Answer:
cm per minute.
Step-by-step explanation:
We have been given that a box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant.
We know that volume of a cuboid is length times width times height.

Upon substituting our given width and length, we will get:


Now, we will find derivative of volume with respect to time as:

Since the volume of the box is decreasing at a rate of 527 cubic cm per minute, so we will substitute
as:



Therefore, the rate of change in height is
cm per minute.
It's the same because it's used the commutative property where:
a+b = b+a
So, 86+68+38=192 it's the same sum as 68+38+86=192
Answer:
- 1 cm to 40 m
- 1/40 cm to 1 m
Step-by-step explanation:
The problem statement isn't clear as to which unit is 1 in your unit rate. If it is 1 cm, you can find the unit rate by multiplying the reationship by 4:
... 4 × (1/4 cm to 10 m) = 1 cm to 40 m
If it is 1 m, you can find the unit rate by multiplying the relationship by 1/10:
... 1/10 × (1/4 cm to 10 m) = 1/40 cm to 1 m
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<em>Additional comment on the problem</em>
Ordinarily, drawing scales are expressed as a fraction. Here, that would be ...
(1/4×1/100 m)/(10 m) = 1/4000 . . . or . . . 1 : 4000