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3 years ago

Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an 1 point

Mathematics

1 answer:

Sliva [168]3 years ago

6 0

Answer:

50 miles

Step-by-step explanation:

Let the number of miles driven by each car by represented by x

Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an economy car.

Hence,

$25.00 + $0.14x .......Equation 1

Better Deal Rental Car charges $23.00 per day plus $0.18 per mile for the same type of car

Hence,

$23.00 + $0.18x...Equation 2

To calculate how many miles will a car rented from either company cost the same amount, we Equate both equations together

Equation 1 = Equation 2

$25.00 + $0.14x = $23.00 + $0.18x

Collect like terms

$25.00 - $23.00 = $0.18x - $0.14x

$2.00 = $0.04x

Divide both sides by $0.04

x = $2.00/$0.04

x = 50 miles

Therefore, a car rented from either company cost the same amount for 50 miles

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Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!

icang [17]

Answer:

$x=-2\\x=2$

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

$(x^2+1)^2-5x^2-5=0$

First, we need to foil out the parenthesis

$x^4+2x^2+1-5x^2-5=0$

Now we can combine the like terms

$x^4-3x^2-4=0$

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

$(x^2-4)(x^2+1)=0$

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$(x^2+1)(x+2)(x-2)=0$

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

$x+2=0\\\\x=-2$

$x-2=0\\\\x=2$

So our solutions to this equation are

$x=-2\\x=2$

3 0

3 years ago

15:59:26

Viefleur [7K]

Answer:

Step-by-step explanation: I just took the quiz.

5 0

2 years ago

using strips of paper or straws construct a triangle that has lengths of 3 in 3 in and 2 in include a picture of this constructi

koban [17]

Answer:

the triangle is an isosceles triangle.

Step-by-step explanation:

8 0

2 years ago

Replace the exponent with a product and then transform the product into a polynomial. (x+10)^2

kupik [55]

Answer:

x^2 +20x+100

Step-by-step explanation:

(x+10)^2

(x+10) (x+10)

FOIL

first:x*x = x^2

outer: x*10

Inner 10*x

last: 10*10 =100

Add them together

x^2+10x+10x+100

x^2 +20x+100

4 0

3 years ago

The set of ordered pairs below represents a function.

ArbitrLikvidat [17]

Given:

The set of ordered pairs below represents a function.

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

To find:

All the ordered pairs that could be used to show that this claim is incorrect.

Solution:

We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.

A relation is called function if there exist a unique output for each input.

If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.

If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.

If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.

Therefore, the correct options are (a), (b) and (e).

8 0

2 years ago