For #11 you add 54 + 59+ 57+ 54. Then you have 224. Then divide 224 by 4 since there are 4 numbers. Your answer should be 56 inches as the average, or mean.
Remember, when you divide, you divide by the number of all the numbers. I'm trying to make sense but hope this helps!
<u><em>Both the statement and its contrapositive are true. </em></u>A right angle will always be 90 degrees, so both are true.
Answer:
Step-by-step explanation:
The power of a power rule is when power is raised to another power. (x^n)^m. when you do this rule, you must multiply the exponents so, x^nm or x^n*m.
The product rule for exponents is used when there are multiple terms that are raised by an exponent that have the same base and ae being multiplied. x^3 * x^2. To solve this, you keep the base (x) and add the two exponents together (3 and 2) so, x^3+2 = x^5.
Hope this helped (:
Answer:
a. -5
b.-5
c.-5
Step-by-step explanation:
In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.
Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is
- ARC = [f(x2)-f(x1)]/ (x2-x1)
<em>In case a)</em>
f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23
Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5
<em>In case b)</em>
f(a)= (-5a-8)
f(b)= (-5b-8)
Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5
<em>In case c)</em>
f(x)= -5x-8
f(x+h)= -5(x+h)-8= -5x-5h-8
then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5
