Answer:
f(- 3) = - 3
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x) , that is
f(- 3) = - (- 3)² + 6 = - 9 + 6 = - 3
Answer:
x = 6
Step-by-step explanation:
7x = 42
Divide both sides by 7
x = 6
Answer:
Her second lap was <u>8%</u> better when compared to her first lap.
Step-by-step explanation:
Given:
Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.
Now, to find how much better was her second lap when compared to her first lap.
Emily ran her first lap in 75 seconds.
Emily ran her second lap in 69 seconds.
So, we get the difference in seconds:
<u><em>Thus, in her second lap she was 6 seconds better than first.</em></u>
Now, to get the percentage of her first lap better than second:
Therefore, her second lap was 8% better when compared to her first lap.
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
Answer:
5 11/12
Step-by-step explanation:
First convert the mixed number into an improper fraction: 31/6
Find a common denominator:
18/24 and 124/24
124/24+ 18/24 is 142/24 and that is the same as 5 11/12
Hopefully this helps and you can have a lovely day!