Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)
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Explanation:
We can write the 9x^2 as (3x)^2 since
(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2
The 49 can be written as 7^2 because 7^2 = 7*7 = 49.
This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.
The difference of squares factoring rule is
a^2 - b^2 = (a-b)(a+b)
which we have a = 3x and b = 7 in this case
So,
a^2 - b^2 = (a-b)(a+b)
(3x)^2 - 7^2 = (3x-7)(3x+7)
9x^2 - 49 = (3x-7)(3x+7)
Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.
Answer:
<h2>117
x
^5
y^
7</h2>
Step-by-step explanation:
Answer:
355 bushels.
Step-by-step explanation:
To know the amount of wheat the truck hauls each trip, we need to divide the total amount of bushels of wheat between the total of trips of the truck.
The total amount of bushels is 4970 and the total of trips is 14.
Then, the amount of bushels for each trip would be 4970/14 = 355.
Therefore, the truck hauls 355 bushels of wheat each trip.
In one display case there are 5 shelves in it. It was said that 4 shelves stores equal number of juice cans in it while the other one has only 3 cans. As a whole, Ari has 35 cans of juice. By placing 3 in one of the shelves, we can deduct it from 35 or (35 minus 3) so what we now have is 32 pieces of juice cans left to be equally distributed in the 4 shelves left. The equation will now be 32 divided 4 or 32/4 which will be equal to 8. So in each shelf from the 4 shelves will store 8 cans of juice equally.
5^x+6^x+3
^ means the x should be up
