Answer:
the answer is k=−23/4
Step-by-step explanation:
hoped I helped:)
Steps to finding the inverse:
1. Replace f(x) with y.
2. Swap x and y.
3. Solve the equation for y.
f(x) = 2x - 10
1. y = 2x - 10
2. x = 2y - 10
3. Add 10 to both sides
x + 10 = 2y
Divide both sides by 2
(x + 10)/2 = y
y = (x + 10)/2
f^-1(x) = (x + 10)/2
Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.
PART A:
The x-intercept at 0 shows the location where the ball was kicked. The x-intercept at x = 16 shows the location where the ball hit the ground.
The maximum value represents the highest point of the ball.
The interval where the function is increasing is 0<x<8. Between this interval, the height of the ball measured from the ground is increasing.
The interval where the function is decreasing is 0<x<16. Between this interval, the height of the ball is decreasing.
PART B:
Reading from the graph
When x = 8, y = 10 ⇒ let this be x₁ = 8 and y₁ = 10
When x = 13, y = 6 ⇒ let this be x₂ = 13 and y₂ = 6
The rate of change = (y₂-y₁) / (x₂-x₁)
The rate of change = (6 - 10) / (13 - 8)
The rate of change = -4 / 5 = -(4/5)
6 - 5c = -29
Subtract 6 from both sides
-5c= -35
Divide -5 on both sides
Final Answer: c= 7
