Answer:
<h2>E</h2>
Step-by-step explanation:
E is correct!!
- See in A the first option -2 will become equal so it will be wrong
- and in B one option that is 0 is missing
- and in c again -2 will be equal to -2
- in d 7 is greater than 6
But in E all are correct!!
So answet is option e
c) You must rent 5 movies from each company to have equal bills.
d) The dollar amount would be $168.95 when the bills are equal which can be determined by putting x=5 in both function.
Step-by-step explanation:
Given,
Yearly charges of Letter A = $129
Per movie rent = $7.99
Let,
x be the number of rental movies.
A(x) = Yearly charges + Per movie rent*Number of movies rented
A(x) = 129 + 7.99x
Yearly charges of YR = $144
Per movie rent = $4.99
Y(x) = 144+4.99x
c) Solve the system of equations to determine how many movies you must rent from each company to have equal bills.
For equal bills;
A(x) = Y(x)

Dividing both sides by 3

You must rent 5 movies from each company to have equal bills.
d) What would be the dollar amount when the bills are equal? How did you get that answer?
We will use x=5 to check the dollar amount.


The dollar amount would be $168.95 when the bills are equal which can be determined by putting x=5 in both function.
Keywords: functions, addition
Learn more about functions at:
#LearnwithBrainly
Answer:
a²+1/a² = 7
Step-by-step explanation:
Given, a = (3+√5)/2
We have to find the value of a² + 1/a².
1/a = 1/((3+√5)/2) = 2/(3+√5)
By taking conjugate,
2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)
= 2(3-√5) / (3+√5)(3-√5)
By using algebraic identity,
(a - b)(a + b) = a² - b²
(3+√5)(3-√5) = (3)² - (√5)²
= 9 - 5
= 4
2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4
So, 1/a = (3-√5)/2
Now, a² = [(3+√5)/2]²
= (3+√5)²/4
By using algebraic identity,
(a + b)² = a² + 2ab + b²
(3+√5)² = (3)² + 2(3)(√5) + (√5)²
= 9 + 6√5 + 5
= 14 + 6√5
a² = (14+6√5)/4
= 2(7+3√5)/4
a² = (7+3√5)/2
Now, 1/a² = [(3-√5)/2]²
= (3-√5)²/4
By using algebraic identity,
(a - b)² = a² - 2ab + b²
(3-√5)² = (3)² - 2(3)(√5) + (√5)²
= 9 - 6√5 + 5
= 14 - 6√5
1/a² = (14-6√5)/4
1/a² = (7-3√5)/2
a²+1/a² = (7+3√5)/2 + (7-3√5)/2
= 7/2 + 3√5/2 + 7/2 - 3√5/2
= 7/2 + 7/2
= 7
Therefore, a²+1/a² = 7
Answer:
A. 8h=m
Step-by-step explanation:
$8* h= total money m earned.