Answer:
Step-by-step explanation:
<u>Given function:</u>
- f(x) = -x² + bx - 65 with maximum value of 35
<u>To find </u>
<u>Solution:</u>
Maximum value is obtained at vertex as a < 0
<u>Vertex coordinate of x is:</u>
- x = -b/2a = -b / -2 = 1/2b
<u>Solving for b:</u>
- 35 = - (1/2b)² + b(1/2b) - 65
- - 1/4b² + 1/2b² = 100
- 1/4b² = 100
- b² = 400
- b = √400
- b = ± 20
See attached
Answer:
Step-by-step explanation:
Find the midpoint of each frequency range, multiply that number by the frequency, sum up and divide by the total frequency.
This will give the mean number.
<u>The mean is:</u>
- [17*( 3 + 3.5)/2 + 21*(3.5 + k)/2 + 33*(k + 4)/2 + 54*(4 + 4.5)/2 + 15*(4.5 + 6)/2]/140 = 4.09
- 55.25 + 10.5k + 36.75 + 16.5k + 66 + 229.5 + 78.75 = 140*4.09
- 17k + 466.25 = 572.6
- 17k = 572.6 - 466.25
- 17k = 106.35
- k = 106.35/17
- k = 6.26
Note, I expected the value of k between 3.5 and 4. This is a bit of illogical outcome.
What the heck who puts cream cheese on toast and im pretty sure the answer would be D
-649 divided by -212 as a simplified fraction would be 160/53
Answer:
i think I will also be =3/4
