Answer:
y = (x + 6)² - 1
Step-by-step explanation:
So there are two ways of doing it, completing the square or partial factoring (which is what i prefer and will show)
so we will get x first:
x^2+12x
We are factoring x
x(x+12)
Now you do x=-12/2
x=-6
Now that you have x, you plg that back into the equation to get y
y= -6^2 +12(-6) +35
= 36-36+35
=-1
Put into vertex form
y = (x + 6)² - 1
Answer:
Arc AB = 110
Step-by-step explanation:
<C = 55 degrees. That's the way the triangle is marked. AB = BC.
The central angle is twice the angle made by the end points of line AB
The central angle = 2*55 = 110
The measure of arc AB equals the central angle which makes arc AB = 110
Answer:
<h3>The option b) is correct</h3><h3>The width of a confidence interval for one population proportion would decrease, increase, or remain the same as a result is <u>
Increase the value of the sample mean (0.5 point) </u></h3>
Step-by-step explanation:
Given that the width of a confidence interval for one population proportion would decrease, increase, or remains the same.
<h3>
To find the result for the given data :</h3>
By definition we have that "the width for the confidence interval decreases as the sample size increases". The width of the confidence interval increases as same as the standard deviation also increases. The width increases as the confidence level increases between (0.5 towards 0.99999 - stronger).
The width of a confidence interval is affected by 3 measures. they are the value of the multiplier t* , the standard deviation s of the original data, and the sample size of n .
<h3>Therefore the width of a confidence interval for one population proportion would decrease, increase, or remain the same as a result is <u>
Increase the value of the sample mean (0.5 point) </u></h3><h3>Therefore the option b) is correct</h3>
X = original cost of shoes
x - .20x = discounted cost of shoes
Add like terms
x - .20x = .80x
Equation
.80x = $24
Divide both sides of the equation by .80.
Answer
x = $30 - original price of the shoes
