Dy/dx=-2x+15
d2y/dx2=-2
Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞
x2=36
We move all terms to the left:
x2-(36)=0
We add all the numbers together, and all the variables
x^2-36=0
a = 1; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·1·(-36)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ‾‾√=144‾‾‾‾√=12
x1=−b−Δ√2a=−(0)−122∗1=−122=−6
x2=−b+Δ√2a=−(0)+122∗1=122=6
Answer:
His savings were of $4,200.
Step-by-step explanation:
Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:
This means that the son and daughter amount is:

As
is the remained that his son did not get. So

Fraction his wife got:

If his wife got $900, what were his savings?
Total savings are x, wife got
of x. So





His savings were of $4,200.
Answer:
He would walk 10 miles in 5 hours, and it would take him 2 hours to walk 4 miles.
Step-by-step explanation:
Answer:
$420.25
Step-by-step explanation:
Total earnings of the week
