Answer:
She divided the coefficients incorrectly
Step-by-step explanation:
A. She divided the coefficients incorrectly.
B. She added the exponents instead of subtracting them.
C. She divided the coefficients instead of subtracting them.
D. She subtracted the exponents instead of dividing them.
Correct calculation:
3x³/12x^-2
= 3x³ ÷ 12x^-2
= 3x³ ÷ 1/12x²
= 3x³ × 12x²/1
= 36x^5
Tyna's calculation:
3x³/12x^-2 = x/4
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The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.
<em>Travel time = distance ÷ speed </em>
<u>Second half of the trip</u> :
- <em>Distance covered = 15 miles</em>
<u>Time taken for second half of trip</u> :
Time taken = 15 / s
<u>First half of the trip</u> :
- <em>Speed = s + 2 mph </em>
<u>Time taken for first half of trip :</u>
Time taken = 15 / (s+2)
<u>Total time taken :</u>
<em>First half + second half</em>
15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s
B)
If s = 12
<em>Substitute s = 12 into the expression</em> :
[15(12) + 15(12+2)] / 12² + 2(12)
[180 + 210] / 144 + 24
390 / 168
= 2.32 hours
Therefore, the total time taken is 2.32 hours.
Learn more : brainly.com/question/18796573
Answer:
the answer there is B. 4^6
Step-by-step explanation:
you would subtract the exponents
Answer:
x = 16
Explanations:
Since △ACD ~ △ABE, it means that:
CD/AD = BE/AE..........(*)
CD = 3x + 8
AD = AE + ED
AD = (x - 1) + 27
AD = x + 26
BE = 20
AE = x - 1
Substituting CD, AD, BE, and AE into equation (*)
(3x+8)/(x+26) = 20/x-1
Cross multiply:
(3x+8)(x-1) = 20(x+26)
3x² - 3x + 8x - 8= 20x + 520
3x²- 15x - 528 = 0
Divide through by 3
x² - 5x - 176 = 0
Solving the quadratic equation above for the values of x
x² - 16x + 11x - 176 = 0
x(x - 16) + 11 (x - 16) = 0
(x - 16)(x + 11) = 0
If x - 16 = 0
x = 16
If x + 11 = 0
x = -11
x cannot be -11 because x = -11 will make side CD and AE to be negative, and the sides of a triangle cannot be negative.
Therefore, x = 16
