Answer:
Step-by-step explanation:
If the profit realized by the company is modelled by the equation
P (x) = −0.5x² + 120x + 2000, marginal profit occurs at dP/dx = 0
dP/dx = -x+120
P'(x) = -x+120
Company's marginal profit at the $100,000 advertising level will be expressed as;
P '(100) = -100+120
P'(100) = 20
Marginal profit at the $100,000 advertising level is $20,000
Company's marginal profit at the $140,000 advertising level will be expressed as;
P '(140) = -140+120
P'(140) = -20
Marginal profit at the $140,000 advertising level is $-20,000
<u>Based on the marginal profit at both advertising level, I will recommend the advertising expenditure when profit between $0 and $119 is made. At any marginal profit from $120 and above, it is not advisable for the company to advertise because they will fall into a negative marginal profit which is invariably a loss.</u>
we are given
6 × 8 = 48
we know that
commutative property of multiplication:

now, we will verify each options
option-A:
we have
6 × 8 = 48
now, we can find it's commutative
so, we get
8 × 6 = 48
so, this is TRUE
option-B:
we have
6 × 8 = 48
now, we can find it's commutative
so, we get
8 × 6 = 48
so, this is FALSE
option-C:
we have
6 × 8 = 48
now, we can find it's commutative
so, we get
8 × 6 = 48
so, this is FALSE
Step-by-step explanation:
The measure of angle y is 62°.
I solve this by
We know: Measures of interior angles in a triangle add up to 180°.
Therefore we have the equation:
60° + 58° + y = 180°
118° + y = 180° <em>subtract 118° from both sides</em>
118° - 118° + y = 180° - 118°
y = 62°
The measure of angle x is 122°.
I solve this by
Angles 58° and x are supplementary angles.
Supplementary angles add up to 180°.
Therefore we have the equation:
x + 58° = 180° <em>subtract 58° from both sides</em>
x + 58° - 58° = 180° - 58°
x = 122°
Answer:
It is x=−92 .
Step-by-step explanation: