Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
cant see the full question ;/
Answer:
A i think
Step-by-step explanation:
Answer: It will take approximately 21 years.
Step-by-step explanation:
6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)
Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)
Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)
Answer:
See explanation below
<u>Step-by-step explanation:</u>
range = 2200 - 300 = 1900
To find standard deviation, we have:
standard deviation = range/4 = 
= 475
The range rule of thumb estimate for the standard deviation is 475
Given:
Standard deviation,
= 475
Margin of Error, ME = 100
= 1 - 0.90 = 0.10
Za/2 = Z0.05 = 1.64
Find sample size, n:
n ≥ ![[Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2](https://tex.z-dn.net/?f=%20%5BZ_%5Calpha_%2F_2%20%2A%20%28%5Cfrac%7B%5Csigma%7D%7BME%7D%29%5D%5E2%20)
n ≥ ![[1.64 * (\frac{475}{100})]^2](https://tex.z-dn.net/?f=%5B1.64%20%2A%20%28%5Cfrac%7B475%7D%7B100%7D%29%5D%5E2)
n ≥ 60.68
≈ 61
Minimun sample size,n = 61
