Answer:
f(x)=4x(x-3)
Vertex=3/2, -9
Step-by-step explanation:
First, factorize it.
That is equal to 4x(x-3)
Therefore, x intercepts are 0 and 3, as at least one of them need to be 0.
To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2
Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.
The vertex will by 3/2, -9
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where 
is the width at the base, 
is the height, and 
is the length.
Substitute in the known values.
Simplify — use multiplication.
Simplify — use division.
The volume — or in this case, the amount of living space — is 
.
Answer:
66
-30
___
36
Step-by-step explanation:
The answer is 36 do 66 minus 36.
Hello!
Okay, so first we need to add like terms... so first, add the terms with the same variables. That gives us:
9x + 7y + 4 + y
Now add 7y and y
That gives us:
9x + 8y + 4
This can't be added anymore... this is as far as we can go because they are no longer like terms.
In base 5 the place values (from right to left) are the ones place, the 5's place and the 25's place. The highest digit you can write in any column is a 4.
333 would be (3 x 25) + (3 x 5) + (3 x 1) which is 93 in base 10.
30 would be (3x5) + (0 x 1) which is 15 in base 10.
The sum of 93 and 15 is 108 in base 10.
Now lets write that in base 5 - We can have 4 25's so there will be a 4 in the 25's column. Since 4 x 25 = 100 we still have to account for 8 to get to 108.
We can have 1 five in the 5's columns since 1 x 5 is 5. Now we have 3 left over which we can place in the one's column
Final answer 333₅ + 30₅ = 413₅
