Use the distributive property to find 3(13+5) written as an equivalent expression.... helpp
2 answers:
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Answer:
C, E
Step-by-step explanation:
As a rule, these ballistic motion equations are only applicable for heights above the final resting place. Usually, that is the ground (h=0). Time is always measured as a non-negative quantity beginning at the time of launch.
The function is meaningless after the time the object comes to rest on the ground, so the domain of the function extends from 0 until that time.
These considerations allow us to evaluate the offered statements.
A. The domain never includes negative values. (A is not a true statement)
B. The heights are the same at times that are symmetrical around the time of the maximum height. Here, that time is about 1.9 seconds, not 1.5 seconds, so the heights will be different at 1 and 2 seconds after launch. (B is not a true statement)
C. The graph of the function shows the height reaches 0 at about 4.06 seconds, a little after 4 seconds. (C is true)
D. Based on our answer to C, we know t=10 is outside the domain of the function. (D is not a true statement)
E. The value of the function is 20 when t=0, so the function tells us the orange is 20 feet above the ground when it is launched. (E is true)
The true statements are C and E.
Answer:
l(n) = 80n + 520
Step-by-step explanation:
From the information given in the question, there is a relationship between the number of new policy sold, n, and earning, I
For 3 new policies, he earned $760
For 5 new policies, he earned $920.
The rate of change of IIya's earning with respect to number of new policy sales is
m = $160 / 2 policies
m = $80 / policy
The linear equation for the relationship is;
l(n) = mn + b
I(n) is Ilya’s weekly income which is a function of the number of new policies, n
m is the rate of change of I with respect to n
n is the number of new policies,
b is the intial function which is IIya's income when n equals zero
Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)
l(n) = 80n + b
To complete the relationship l, we need to calculate the initial value b.
For 3 new policies, he earned $760,
760 = 80(3) + b
760 = 240 + b
b = 760 - 520
b = 520
The final equation is l(n) = 80n + 520
From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.