Answer:
the answer is below
Step-by-step explanation:
The equation of the line will have the form y=Ax+B where A, B are constants to be found. Since we want the slope to be 3 we have that A=3. Since we want the line to pass through the point (6,-8) we have that -8=3(6)+B or B=-26. Thus, the equation of the line is y=3x-26.
Given the equation modeling Eva's height at time,t. To evaluate if she will reach height of 14 ft, we evaluate maximum height that she will reach.
At maximum height h'(t)=0
but
h(t)=-16t^2+20t+6
h'(t)=-32t+20=0
solving for t we get:
-32t=-20
t=20/32
t=5/8
thus the maximum height reached was:
h(5/8)=-16(5/8)^2+20(5/8)+6
h(5/8)=12.25 ft
Thus we conclude that she won't reach the height of 14 ft because her maximum height was 12.25 ft
Answer:
Vanessa’s total pay is $482.50
Step-by-step explanation:
Base salary: $400
5% of 1,650 is 82.50
0.05 x 1,650 = 82.50
Commission: $82.50
Equation: 400 + 82.50 = $482.50
Still stuck? <u>Get 1-on-1 help from an expert tutor now.</u>
<u />
Expand (x+2)^2: x^2 + 4x + 4 : remember that (a+b)^2 = a^2 + 2ab + b^2
So: x^2 + 4x + 4 - x^2 = 60