Hello.
Firstly, let's isolate x on the equation:
Now, we can replace 'x' for 'y' and vice-versa:
Hope I helped.
1- The interest rate is 7.5/year so 7.5/.75 year(9 months) at 500$ which would produce a profit of 28.13$ so a total of 528.13
2-7.5/year for 1.5 years(18 months) at 500$ so total interest is 56.25$ so the total is 566.25$
From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
<h3>Factoring</h3>
In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
Learn more about the factoring here:
brainly.com/question/11579257
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Answer:
(x - 1)(x² + x + 1) = x³ - 1³ and (x + 4)(x² - 4x + 16) = x³ + 4³
Step-by-step explanation:
complete question is: Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
SOLUTION:
Formulas for sum of cubes and difference of cubes are:
x³ +y³ = (x + y) (x²- xy + y²)
x³ - y³=(x - y)(x² + xy + y²)
So,
->(x - 1)(x² + x + 1) = x³ - 1³
The above statement yields the difference of cubes.
->(x + 4)(x² - 4x + 16) = x³ + 4³
The above statement yields the sum of cubes.