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2 years ago

For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.

Mathematics

1 answer:

Andru [333]2 years ago

3 0

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

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A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th

solmaris [256]

Answer:

Total number of riders that ride on carpool daily = 2000

Total Cost of one way ticket = $ 5.00

Total Amount earned if 2000 passengers rides daily on carpool = 2000 × 5

= $10,000

If fare increases by $ 1.00

New fare = $5 + $1

= $6

Number of passengers riding on carpool = 2,000 - 100 = 1,900

If 1,900 passengers rides on carpool daily , total amount earned ,if cost of each ticket is $ 6 = 1900 × $6 = $11400

As we have to find the inequality which represents the values of x that would allow the carpool service to have revenue of at least $12,000.

For $ 1 increase in fare = (2,000 - 1 × 100) passengers

For $ x increase in fare, number of passengers = 2,000 - 100·x

= (2,000 - 100·x) passengers

New fare = 5 + x

New Fare × Final Number of passengers ≥ 12,000

(5+x)·(2,000 - 100 x) ≥ 12,000

5 (2,000 - 100 x) + x(2,000 - 100 x) ≥ 12,000

10,000 - 500 x + 2,000 x - 100 x² ≥ 12,000

100 - 5 x + 20 x - x² ≥ 120

- x² + 15 x +100 - 120 ≥ 0

-x² + 15 x -20 ≥ 0

x² - 15 x + 20 ≤ 0

⇒ x = 1.495

x ≥ $ 1.495, that is if we increase the fare by this amount or more than this the revenue will be at least 12,000 or more .

Also, f'(x) = 0 gives x = 7.5

⇒ The price of a one-way ticket that will maximize revenue is $7.50

7 0

1 year ago

Mr. Smith saved $15 by buying a tool at a 10% discount. What was the original price for this tool? Please show work.

Mnenie [13.5K]

Well 10%= 1/10 of 100% so you would Multiply 15$ by 10 to get the original price. E.G 15*10=150$

8 0

2 years ago

Read 2 more answers

Marisol is trying to decide which job to take. She is offered three jobs. The store manager has a salary of $32,500. The

Anon25 [30]

Answer:

I think it is the department manager

8 0

2 years ago

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.

Neporo4naja [7]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:
$f (x) = 3 (2.5) ^ x
$
Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers

8 0

2 years ago

Read 2 more answers

Boris chooses three DIFFERENT numbers.

g100num [7]

Answer:

4, 5, 27.

Step-by-step explanation:

Let us find our numbers using given information.

Factors of 20 are: 1,2,4,5,10 and 20.

Let us try by taking number 4 and 5.

$36-(4+5)=36-9=27$