The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
answer is D
Explamation:
given points are (7,9) and (12,11)

therefore the mid point is (9.5,10)
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS
Equating RS and QS, we will find the value of X
RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6
Find the value of RS and QS, in this, we will show that two are equal
5(6)-11 = 2(6)+7
19 = 19 ⇒ correct
Therefore RQ is the sum of RS and QS or simply twice the length of either segment
RQ = 19 x 2 = 19 + 19 = 38 (D)
Answer:
$275
Step-by-step explanation:
So she put $60 into savings....
X is the amount of her paycheck...
after buying the clothes she had X-75
She spend (2/5)(x-75) on books
The amount deposited into saving and spent on groceries totals 120.
So
X = 75 + (2/5)(x-75) + 120
X = (2/5)(X-75) + 195
X = (2/5)X - 30 + 195
X = (2/5)X + 165
(3/5)X = 165
X = 165*5/3 = 5*55 = 275
Starts with 275
spent 75 on clothes, which makes it 200.
2/5 of 200 is 80, which makes it 120.
60 deposited into savings and 60 on groceries
Her paycheck was 275