Answer:
<u>Equation:</u>
Step-by-step explanation:
<u>Step 1:</u>
- Pull out like factors:
<u>Trying to factor as a Difference of Cubes:</u>
- Factoring:
- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
<u>Equation at end of step 1:</u>
- <u />
<u>Step 2:</u>
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
<u>Solving a Single Variable Equation:</u>
- Solve
- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
<u>Solution:</u>
Answer:
a= 73.2
b =36.6
c = 76.2
Step-by-step explanation:
Perimeter of the triangle is the distance round the triangle.
Let the 3 sides be a, b and c
Side a of the triangle is twice as long as side b. This means
a = 2b
Side c is 3 feet longer than side a. This means
c = a + 3
The perimeter of the triangle is 93 feets. Formula for finding the perimeter of the triangle is
(a + b + c)/2
Therefore,
93 = (2b + b + 2b + 3)/2
93 = (5b + 3)/2
5b + 3 = 93 × 2 = 186
5b = 186 - 3 = 183
b = 183/5 = 36.6
a = 2b = 2 × 36.6 = 73.2
c = a + 3 = 73.2 +3 = 76.2
Answer:
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Answer: 7.5
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
I = 1200 × 0.075 × 2 = 180
I = $ 180.00
Answer:
f = 59
g = 59
Step-by-step explanation:
f = 180 - 121
f = 59
g = 180 - 121
g = 59