Answer: time to reach maximum height = 605
Step-by-step explanation:
The expression that relates height with time is
M(d)=-0.123x^2+148.83x-21.07
Where time = x
d = height
The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.
To find x,
x = -b/2a
Where a= 0.123
b = 148.83
x = - 148.83 / -2 × -0.123
x = -148.83 / -0.246
= 605
Substituting x = 605 in the equation,
M(d)=-0.123x^2+148.83x-21.07
d = -0.123 × 605^2 + 148.83×605
= - 45021.075+ 90042.15
= 45020.4
Approximately 45000 feet
Answer:
-4/5
Step-by-step explanation:
okay well first you have to make each fraction into improper fractions
2 1/2 going into 3/2 and -1 7/8 into -15/8
and then do keep change flip keeping the first fraction (3/2), changing the division sign into a multiplication sign, and flipping the numerator and denominator of -15/8 into 8/-15
3/2 × 8/-15 = 24/-30 = 4/-5
also
4/-5 = -4/5
If I'm not mistaken, x=1 2/3 or 1.66
Answer:
x > 1
Step-by-step explanation:
Subtract 3 from both sides
8x + 3 - 3 > x + 10 - 3
Simplify
8x > x + 7
Subtract x from both sides
8x - x > x + 7 - x
Simplify
7x - 7
Divide both sides by 7
7x/7 > 7/7
Simplify
x > 1
K12 i just took the test and the answer is very simple the convert it to a decimal but in simplest form and the answer is 0
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