Since the parabola is connecting the points, it means that the points given are on the parabola or that the points are solutions of the parabola. Thus, when we substitute the points into the function, we should end up with the correct y-value.
To find the correct choice, let's test a point. An easy point to test I believe would be (-3, 0) because we should be getting 0 as a y-value. Let's test:
We can see that Choice B is the correct function, because it produces 0 when we substitute 
. Thus, Choice B, or (x + 3)(x - 4) is the answer.
substitute 4 as x in both sides of the equation
basically multiply -3/2 by 4
Step-by-step explanation:
The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)
2/5 = x/10
The means in this equivalent ration are 5 and x. The extremes are 2 and 10.
5x = 20
Now solve =)
x = 4
That was pretty simple. Let's move on to the next one. Do exactly the same thing here:
4/10 = 6/x
60 = 4x
15 = x
That was pretty simple, too! Keep going!
6/15 = x/25
15x = 150
x = 10
All of these should be equal, so check them by dividing:
2/5 = 0.4
4/10 = 0.4
6/15 = 0.4
10/25 = 0.4
They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25
I really hope this helps you =)
Answer:
V = 3,386,880 cubic yards
V = 91445760 cubic feet
V = (1/3) · b2 · h so 1/3 x 756^2 x 480 = 91445760 ft^3
Answer = 91445760 ft^3
Step-by-step explanation:
converting feet into yards
let
1 yard = 3 ft
1 ft = (1/3) yard
a = 756 ft = 756*(1/3) yards the length of the side of the square base
h = 480 ft = 480*(1/3) yards the height of the pyramid
a.) the volume of the pyramid V = (a^2*h)/3 = (a^2*h)(1/3)
V = (756*(1/3))^2*480*(1/3)*(1/3)
V = 3,386,880 cubic yards
Answer:
Yes
Step-by-step explanation:
2/5 + 3/4 = [2(4) + 3(5)]/20
= 23/20 = 1 3/20
1 3/20 = 1 9/60
1 1/6 = 1 10/60
1 1/6 > 1 3/20
