<span>What is the axis of symmetry for f(x)=5(x+7)(x-5)? Multiply out this polynomial to obtain the equation of a parabola in the form y = ax^2 + bx + c.
f(x) = 5(x^2 - 5x + 7x -35)
Holding the coefficient 5, we have 1x^2 - 2x - 35. Here a = 1 and b = -2, and
thus x = -b / (2a) provides the x-coord. of the axis of symm. It is:
x = -(-2) / (2*1) = 1.
The axis of symmetry is the vertical line x = 1.</span>
Answer:
<em>Roy has a house in the same quadrant as the Community Center</em>
Step-by-step explanation:
<u>Rectangular Coordinates</u>
The coordinate grid shown in the image below contains the locations of the houses of Dan, Joe, Lee, and Roy.
It has also been marked the four quadrants I, II, III, and IV.
Note that Dan is in quadrant I, Joe is in quadrant II, Lee is in quadrant III, and Roy is in quadrant IV.
The Community Center (CC) is also in quadrant IV, thus the answer is:
Roy has a house in the same quadrant as the Community Center
Answer:
x = 16 when y = 40
Step-by-step explanation:
as y is directly proportional to x:
y = x
y = k x .........k is here constant.
15 = k * 6
k = 15/6
k = 5/2
Here constant, k is (5/2)
So when y = 40
y = k x
40 = (5/2)x
x = 40(2/5)
x = 16
Answer:
40oz
Step-by-step explanation:
just make it easy 20 quarters is 4 oz multiply that by 10 it would be 200 quarters and 40 oz
Answer:
<h3>"When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is taken, then the distribution of is based on the <u> "t" </u>distribution</h3>
Step-by-step explanation:
Given that "When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is taken, then the distribution of is based on the "<u>t"</u>distribution."
Because the given sample size is smaller so we have to use the "t" distribution for constructing the confidence interval for a given population