I believe the correct option is C.
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
Answer:
834 chirps
Step-by-step explanation:
Given the data:
Chirps in 1 min Temperature (°F)
781 74
1039 85.9
1156 87.2
1218 87.8
1131 91.4
888 75.5
Using technology, the regression model obtained will be in the form :
y = bx + c
b = slope ; c = intercept
y = temperature ; x = chirps per minute
The regression model is :
ŷ= 43.28 + 0.0390x
If outside temperature, y = 76 ; x will be ;
76 = 43.28 + 0.0390x
76 - 43.28 = 0.0390x
32.72 = 0.0390x
x = 32.72 / 0.0390
x = 838.97435
x = 834 chirps per minute
50% what is half of one hundred
