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crobinson7206
18.12.2019 •
Mathematics
What is the inverse of f(x) = -5x - 8?
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Ответ:
y=-1/5x-9/5
Step-by-step explanation:
y=-5x-9
x=-5y-9
-5y=x+9
y=-1/5x+9/-5
y=-1/5x-9/5
Ответ:
70 km/h
9 hr 22.5 min
Step-by-step explanation:
Given
Distance = 350 kmSpeed = yReturn speed = y + 10Time difference on return = 37.5 min = 37.5/60 hr = 5/8 hrDifference in time as equation:
350/y - 5/8 = 350/(y+10)(8*350 -5y)/8y = 350/(y+10)(y+10)(560 - y)= 8y*70560y - y² +5600 - 10y = 560yy² + 10y - 5600=0y = (-10 ± √(100 +4*5600))/2y = (-10 ±150)/2y= 70 y = -80 not considered as negative valueAverage speed was 70 km/h
Total time = 350/70 + 350/(70+10) = 5 + 4.375 = 9.375 hr = 9 hr 22.5 min