Answer:
A. "an arithmetic sequence with a common difference (d) of -6."
B. 33 hours
C. 
D. See below
Step-by-step explanation:
A.
Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.
B.
The formula for term of arithmetic sequence is:
Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:
She will have left 33 hours
C.
We will use the arithmetic sequence term formula written above, that is:
THis gives us the amount of hours left after a certain number of weeks.
D.
We plug in 40 into n and find the hours left:
THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.
The exponential growth is: 
And its graph is the first one.
The exponential decay is: 
And its graph is the second one.
<h3>
How to identify the exponential equations?</h3>
The general exponential equation is of the form:
Where A is the initial value and b is the base.
- If b > 1, then we have an exponential growth.
- if 1 > b > 0, then we have an exponential decay.
Here the two functions are:
As you can see, the base for the first one is smaller than 1, then it is an exponential decay (and it has a decreasing graph, so the graph of this one is the second graph).
For the second function, we have the base b = 1.25, which is larger than 1, so it is an exponential growth, and its graph is an increasing graph, which is the first one.
If you want to learn more about exponential functions:
brainly.com/question/11464095
#SPJ1
Answer:
12 dollars
Step-by-step explanation:
He spent 3/7 of 56
3/7*56 =24
Take the original amount and subtract what was spent
56-24 =32
He has 32 left
He spent 5/8 of that on a bat
5/8 *32 =20
Take the amount of money he had and subtract what was spent
32-20 = 12
He has 12 left
Answer:
a. 2*-2*3=-12
b. -2*3*5 = -30
c. (-2)^2+2*5= 14
d. 2*-2+3*3-5*5= -20
e. -2(3-5) = 4
f. 3*5-(-2)*5+(-2)*3 = 19
if it helped then plz mark me as brainliest
Answer:
x² + x - 30
Step-by-step explanation:
Given
(x - 5)(x + 6)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 6) - 5(x + 6) ← distribute both parenthesis
x² + 6x - 5x - 30 ← collect like terms
= x² + x - 30
