9514 1404 393
Answer:
- f(x²) = x² +5
- (f(x))² = x² +10x +25
Step-by-step explanation:
Put the argument in place of x and evaluate the desired expression.
__
1. f(x²) = x² + 5 . . . . . . straight substitution for x
__
2. (f(x))² = (x +5)²
= (x +5)(x +5) = x(x +5) +5(x +5) = x² +5x +5x +25
(f(x))² = x² +10x +25
The slope (or average rate of change) formula is:

. It is easy to remember as "slope is easy and fun, rise over run" where the y-values of the 2 points would be the "rise" and the x-values of the 2 points would be the "run" So with two points, you label one point as

and the other as

. Then you insert these points into the slope formula (m represents slope). So,

where (-3,6) is x2 and y2 and (5,1) is x1 and y1. It would simplify to

.
9514 1404 393
Answer:
B. 6
Step-by-step explanation:
The diagonals of a parallelogram intersect at their midpoints, so ...
DE = BE
4y -8 = y +10
3y = 18 . . . . . . . add 8-y
y = 6 . . . . . . . . divide by 3
__
<em>Additional comment</em>
The value of x is found the same way:
2x = x+2 ⇒ x = 2
Since we know that Lane is travelling at 180 steps per minute and that each step is 3.25 feet long, we can easily find his running speed in feet/min. This will be equal to

To find the speed in miles per hour, we just perform a
<em />dimensional analysis. We can use the conversion factors 5280 ft = 1 mile and 60 min = 1 hr to calculate for the speed in miles per hour: