Answer:
65 people.
Step-by-step explanation:
We have to work backwards.
We end with 63 people, and at the stop we lost 19 people and gained 17.
; if x = # people at the beginning
There were 65 people on the train to begin with.
Answer:
x=2.50
Step-by-step explanation:
But I am not sure if its positive or negative.
Answer:
Surface area = 252 inches^2
Step-by-step explanation:
Surface area = 2lw + 2lh + 2wh
2(2*8) + 2(2*11) + 2(8*11)
32 + 44 + 176 = 252
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>
Answer:
Step-by-step explanation:
length of rectangle = circumference of circle = πd = 6π cm
area of rectangle = 2×6π = 12π cm
area of one circle = πr² = 9π cm²
surface area = 12π + 2(9π) = 30π ≅ 90 cm²
