Answer:
B
Step-by-step explanation:
1/2x - 2 > 0
collect like terms
1/2x > 0 + 2
1/2x > 2
Divide both sides by 1/2
x > 2 divided by 1/2
inverse of 1/2 is 2/1
x > 2 times 2/1
x > 4
We have the following function:
f(t) = −16t2 + 34t + 546
By definition, the average rate of change is:
Avr = (f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 5:
f (5) = -16*(5)^2 + 34*(5) + 546
f (5) = 316
For t2 = 5:
f (7) = -16*(7)^2 + 34*(7) + 546
f (7) = 0
Substituting values:
Avr = (0 - 316) / (7 - 5)
Avr = -158
Answer:
The average rate of change of f (t) from t = 5 seconds to t = 7 seconds is -158 feet per second.
Answer:
Step-by-step explanation:
The slope is given to you by the line y = 1/4 x
The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.
The second part of the question is to use the given point to find b.
x = 4
y = -1
b = ? substitute x and y to find b
y = 1/4 * 4 + b
- 1 = 1/4 * 4 + b
-1 = 1 + b
-2 = b
The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.