Hey there :)
f (x) = 5x² - 2x
g (x) = 3x² + x - 4
( f + g )( x ) is f ( x ) + g ( x )
5x² - 2x + 3x² + x - 4
Combine like-terms
5x² + 3x² - 2x + x - 4
8x² - x - 4
Your option will be the third option
Answer:
the slope is defined as the change in price divided by the change in quantity supplied between two points (i.e. the two ordered pairs). we can use the following formula to calculate it: m = (y2 – y1)/(x2 – x1). in the case of my example, the two ordered pairs are (2, 500) and (1, 250)
Step-by-step explanation:
Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
13. $9 because 75%=3/4 and 1/4 of 12 is 3, and so you multiply $3 by 3 to get $9
14. Multiply 325 by .2 to get $65.00
15. 15 minutes, because if it rises 2 feet every hour, then it rises 1 foot every hour, and so you divide that by 2 to get 15
Answers:
13. $9
14. $65.00
15. 15 mins
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