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3 years ago

Describe the transformation of the parent function f(x)=x^2 to 1/2 (x+1)^2-5

Mathematics

1 answer:

Eddi Din [679]3 years ago

7 0

The parent function was moved left one and down five. It also opened up due to the 1/2

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Margo borrows $500, agreeing to pay it back with 3% annual interest after 14

Akimi4 [234]

Answer:

$\$17.50$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest to pay

P is the amount of money borrowed

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=\frac{14}{12}\ years\\ P=\$500\\r=3\%=3/100=0.03$

substitute in the formula above

$I=500(0.03)(\frac{14}{12})$

$I=\$17.50$

4 0

3 years ago

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,

Soloha48 [4]

try using the steps in my question i have one just like you

Step-by-step explanation:

4 0

3 years ago

A water cooler holds 15 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters) HELP ME PLEASE

Julli [10]

Answer:

Approximately 56.775 gallons

Step-by-step explanation:

15 x 3.785

=56.775

6 0

3 years ago

Your boss tells you that she knows the length of the widgets your company makes is normally distributed with a mean of 25 inches

sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\bar{x} = \mu = 25\text{ inches}$

b) Standard deviation of the sampling distribution

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}$

8 0

3 years ago

The ratio of the side length of square a to the side length of square b is 3:5. the perimeter of square b is 60 feet. what is th

marishachu [46]

The answer is 81 ft square

7 0

3 years ago