I think it’s about 4.3 mph
Answer:
(x, y) = (6, -2)
Step-by-step explanation:
Sometimes this solution method is called "addition" or "elimination." You want to multiply one or both equations by a value or values that make the coefficients of one of the variables be opposites. Then when you add the equations, the result is an equation without that variable. (One variable has been eliminated.)
Multiply the first equation by -2 to make its x-coefficient the opposite of that in the second equation. Then add the two equations:
-2(3x +3y) = -2(12)
-6x -6y = -24
Add the second equation ...
(-6x -6y) +(6x +11y) = (-24) +(14)
5y = -10 . . . . . simplify
y = -2 . . . . . . . divide by 5
__
3x +3(-2) = 12 . . . . . substitute into the first equation
3x = 18 . . . . . . . . . . add 6
x = 6 . . . . . . . . . . . . divide by 3
The solution is (x, y) = (6, -2).
Answer:
20(x+15)(x+10)
Step-by-step explanation:
Hi there!
As your question states, we need to fully factor the polynomial: 20x²+500x+3000
These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor
the GCF is 20
so factoring 20 out of the polynomial will get:
20(x²+25x+150)
As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.
Now use FOIL to factor x²+25x+150 into 2 binomials
25 is the sum of the last terms
150 is the product of the last terms
think: which two numbers add up to 25 but multiply to get 150?
those two numbers are 15 and 10
x²+25x+150 factored is (x+15)(x+10)
but remember we have the 20 in front of x²+25x+150 (or now, (x+15)(x+10))
therefore the fully factored binomial is 20(x+15)(x+10)
Hope this helps! :)
<u>Answer:</u>
297 cubic feet
<u>Step-by-step explanation:</u>
We are given that a right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft.
We are to find the volume of this prism.
We know the formula of volume of a rectangular prism is given by: 
where 
is the width, 
is the height and 
is the length of the prism.
So substituting the given values in the formula:
Volume of prism = 
297 cubic feet
Answer:
y=5 or y=−5 it does not matter either one
Step-by-step explanation:
25=y2
Step 1: Subtract y^2 from both sides.
25−y2=y2−y2
−y2+25=0
Step 2: Subtract 25 from both sides.
−y2+25−25=0−25
−y2=−25
Step 3: Divide both sides by -1.
−y2
−1
=
−25
−1
y2=25
Step 4: Take square root.
y=±√25
y=5 or y=−5
