Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
Answer:
11 students out of 902 responded above 35
Step-by-step explanation:
Using z-score we can find what percentage of student will be above 35. Using this percentage we can calculate how many students out of 902 scored above 35.
Mean = u = 26
Standard deviation = s = 4
Target Value = x = 35
Formula for the z score is:

Using the values in this formula, we get:

Using the z table we can find the percentage of values that would be 2.25 standard deviations above the mean in a normal distribution. Using the z-table we get this value to be 0.0122 or 1.22%
Thus 1.22% of the values will be above 35.
1.22% of 902 is 11 (rounded to nearest whole number)
Thus 11 students out of 902 responded above 35
Answer:
59 square inches.
Step-by-step explanation:
Equation for area of whole, large triangle:
A = 1/2(b)(h)
A = 1/2(13)(14)
A = 91 square inches
Equation for area of tiny, white triangle:
A = 1/2(b)(h)
A = 1/2(8)(8)
A = 32 square inches
Equation to find the area of the shaded region:
A = 91 - 32
A = 59 square inches
The correct answer would be B.6 and 7
Answer:
What are the problems?
Step-by-step explanation: