Answer:
f(-5) = 5
Step-by-step explanation:
Step 1: Define
f(x) = -x² - 7x - 5
f(-5) is x = -5
Step 2: Substitute and Evaluate
f(-5) = -(-5)² - 7(-5) - 5
f(-5) = -25 + 35 - 5
f(-5) = -25 + 30
f(-5) = 5
Answer:
Friend is not correct.
Step-by-step explanation:
<em>The complete question with image is attached.</em>
We need to find the angle and the point (0.8), or the angle created between the two lines.
First we need to find slope (m) of both the lines.
The slope (m) is change in y coordinates divided by change in x coordinates. Or
<u>Slope of line above:</u>
<u>Slope of below line:</u>
The formula to find angle between two lines is:
Where m_1 = -2 and m_2 = 2
Plugging in the values, we get:
Angle = 53
Hence, your friend IS NOT correct.
Answer:
50 hours.
Step-by-step explanation:
First I found how how much the man was paid in a week for the base 40 hours which was 384. Then i subtracted that from the wage from the week so i could just have the overpay amount which was 144. I then multiplied 9.6 by 1.5 to get the hourly pay for overtime and god 14.4 dollars an hour. Lastly, i divided 144 by 14.4 and got 10 extra hours which got me to my answer of 50 hours because i added the 40 initial hours.
Answer:
Step-by-step explanation:
we know that
The expression Subtract from is equivalent to the algebraic equation
Group terms that contain the same variable
Combine like terms
V = (pi) * r^2 * h
V = 470.48
h = 6.5
pi = 3.14
470.48 = 3.14 * r^2 * 6.5
470.48 = 20.41r^2
470.48 / 20.41 = r^2
23.05 = r^2
sqrt 23.05 = r
4.8 = r <=====