Answer:
b = -1
Step-by-step explanation:
First plug in 4 for each x:
Then simplify by multiplying out what you can with 4:
After simplify further by combining like terms:
Then isolate b on one side by subtracting 4 from each side:
Finally isolate b further by dividing each side by 4 to get b alone and find the answer:
9514 1404 393
Answer:
f(x) = sin(0.62832(x +1))
Step-by-step explanation:
The period of the function is the difference between x=4 and x=-6, which is 10 units. Then the horizontal scaling needs to be such that when x changes by 10, the argument of the sine function changes by 2π. That scaling will make it ...
f(x) = sin(2π(x/10)) = sin(πx/5)
The upward zero-crossing is seen to be at -1, so this function has been shifted left 1 unit. This requires we replace x with x+1:
f(x) = sin(π/5(x +1))
If we use the given numerical value for pi, this becomes ...
f(x) = sin(0.62832(x +1))
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
<u>if they join together</u>:
- 3x + 2 + x = 10
- 4x + 2 = 10
- 4x = 10 -2
- 4x = 8
- x = 2
<u>Longer piece</u>:
Answer:
D) f(3) = 54
Step-by-step explanation:
f(3) = 2 x 3^3
f(3) = 2 x 27
f(3) = 54
Hope this helps! Pls give brainliest!
Distance is speed or velocity multiplied by time: d = v * t
We know the speed of the car and the time it travelled, so input the two into the equation above and solve for the distance travelled.
d = v * t
d = 64 m/h * (5 hours and 15 minutes) = 64 m/h * (5.25 hours)
d = (64 * 5.25) miles
d = 336 miles