Answer:
B. P(-4)=-144
Step-by-step explanation:
From the question, we have that:

This implies that:

To find p(-4), we put x=-4


To find p(0), we put x=0 to get:


The correct answer is B
Answer:
The equation that matches this situation is y = 8.34x + 25 ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (initial value)
The rule of the slope is m = Δy/Δx, where
∵ Lisa collects rainwater in a barrel that weighs 25 pounds
∴ The initial value of the weight is 25 pounds
∴ b = 25
∵ When there are 10 gallons of water in the barrel, the total weight
of the barrel and the water is 108.4 pounds
∴ At x = 10, y = 108.4
∵ When there are 20 gallons of water, the total weight is 191.8 pounds
∴ At x = 20, y = 191.8
→ Find Δx and Δy
∵ Δx = 20 - 10 = 10
∵ Δy = 191.8 - 108.4 = 83.4
→ Substitute them in the rule of the slope above
∴ m =
∴ m = 8.34
→ Substitute the values of m and b in the form of the equation above
∵ y = 8.34x + 25
∴ The equation that matches this situation is y = 8.34x + 25
Answer:
x = 4
Step-by-step explanation:
Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is
2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides
2x - 1 - x - 1 = x + 5 - 2x + 1, that is
x - 2 = - x + 6 ( add x to both sides )
2x - 2 = 6 ( add 2 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The 3 terms are 5, 7, 9
Answer:
23/30
Step-by-step explanation:
Hope this helps :)