Answer:velocity=185 m/s
Step-by-step explanation:
So make k the subject of the formula by divide both by sqrt(x)
h= k × sqrt(x)
k=h/sqrt(x)
k=256 / sqrt(256)
k=256 / 16
k=16
So now substitute the value of k :
h= 16 × sqrt (x)
Then differentiate:
=(1/2 × sqrt(x))× 16
=16/(2×sqrt(x)
=8/sqrt(x)
Then
= 8/sqrt(x) × 370
=8/ sqrt(256) × 370
=8/16 × 370
velocity=185 m/s
X + 3y = 7
x = -3y + 7
2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-6y + 4y = 8 - 14
-2y = - 6
y = -6/-2
y = 3
x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2
solution is (-2,3)
answer
$962.50
set up equation
first, we want to find out how many gallons of gas she'll save a year
x1 = gallons for old car
x2 = gallons for new car
gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon
then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved
price saved = gallons saved * price
price saved = (x1 - x2) * 3.85
gallons with old car
to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)
x1 = 15000 / 24
x1 = 625
gallons with new car
use the same process as with the old car, but with 40 miles per gallon instead
x2 = 15000 / 40
x2 = 375
plug in values
price saved = (x1 - x2) * 3.85
price saved = (625 - 375) * 3.85
price saved = 250 * 3.85
price saved = $962.50
2/9 of H?... , um I think
