First of all, we need to know what is the vertex means which is the maximum or minimum point of a parabola and the formula will be:
x=-b/2a
Where b and a from
f(x)=ax^2+bx+c
So do find which function has a vertex of origin. Let's find the vertex of all the function that we had:
f(x)=(x+4)^2
f(x)=(x+4)(x+4)
f(x)=x^2+8x+16
x=-b/2a
x=-8/2(1)
x=-8/2
x=-4
Not the right answer because the vertex needs to be origin which is x=0
f(x)=x(x-4)
f(x)=x^2-4x
x=-b/2a
x=-(-4)/2(2)
x=4/4
x=1
Not the right answer
f(x)=(x-4)(x+4)
f(x)=x^2-16
x=-0/2(1)
x=0
Yay! This is the right answer. As a result, f(x)=(x-4)(x+4) is your final answer. Hope it help!
Answer: x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4−7x=31
−4+−7x=31
−7x−4=31
Step 2: Add 4 to both sides.
−7x−4+4=31+4
−7x=35
Step 3: Divide both sides by -7.
−7x
−7
=
35
−7
x=−5
To find the volume of the prism you are going to use the formula V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.
Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3
Upon simplifying that you get 540.
Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512
I recommend drawing it out... it helps a lot:)
<span> 4 cups of tea are poured per minute
2 hours = 2 x 60 = 120 minutes
so in 2 hours = 120 x 4 = 480 cups
</span><span>16 cups in one gallon then
</span><span>480 / 16 = 30 gallons
answer
30 gallons
</span>
