Answer:
For t=3 sec the velocity change from positive to negative
Step-by-step explanation:
we have

This is the equation of a vertical parabola open downward (the leading coefficient is negative)
where
s(t) is the distance in feet
t is the time in seconds
We know that
To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation
The turning point of the quadratic equation is the vertex
so
Convert the quadratic equation into vertex form

Factor -16

Complete the square


Rewrite as perfect squares

The vertex is the point (3,244)
therefore
For t=3 sec the velocity change from positive to negative
Answer:
the second one is youre answer
Step-by-step explanation:
Answer:
(–10, –2), (6, 6)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
<u><em>Verify each case</em></u>
case 1) (5, –4), (–2, 1)
substitute in the formula
----> the slope is negative
case 2) (6, –10), (2, 10)
substitute in the formula
----> the slope is negative
case 3) (–10, –2), (6, 6)
substitute in the formula
----> the slope is positive
case 4) (5, –1), (–6, 6)
substitute in the formula
----> the slope is negative
Answer: $8.80 for one hour of mowing and $40.50 for 5 hours of babysitting
Step-by-step explanation:
Answer:
m∠DEF = 50
Step-by-step explanation:
∠DEG = ∠GEF
3y + 4 = 5y - 10
subtract 4 from both sides
3y = 5y - 14
subtract 5y from both sides
-2y = -14
divide by -2
y = 7
Add 7 into the equations:
3y + 4 + 5y - 10
3(7) + 4 + 5(7) - 10
21 + 4 + 35 - 10
25 + 25
50