Answer:
they will play together again in 28 days
Step-by-step explanation:
Answer:44 ft
Step-by-step explanation:
P=2(l+w)
P=2(14+8)
P=2(22)
P=44
Answer:
a = -3.8
b = -2.6
c = 1.7
d = 4.4
e = 1.0
Step-by-step explanation:
Inverse just means that the x- and y-values are reversed. Notice how I didn't need to do any math to fill in the blanks; all the points are already given!
Please mark as Brainliest! :)
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
Y= 2.50(x) + $20 is the linear equation
If 15 videos are rented
Y=2.50(15) + $20
Y= $57.50
67.50 = 2.50(x) + 20
19= x
19 videos were rented in 3 months
