Answer: 2(x^2-2x+4)
Step-by-step explanation:
You can factour out 2:
2(x^2-2x+4)
Answer:
Step-by-step explanation:
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
Answer:
y = -1/2 | x+3|
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
C < 0 moves it right
y = Cf(x) C > 1 stretches it in the y-direction
0 < C < 1 compresses it
y = −f(x) Reflects it about x-axis
Our parent function is
f(x) = |x|
We want it 3 units left
y = f(x + 3)
y = |x+3|
Then reflected across the x axis
y = −f(x)
y = -|x+3|
Then shrink by 1/2 vertically
y = Cf(x)
y = -1/2 | x+3|
