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Jobisdone [24]
3 years ago
10

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 pl

us $2.75 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

A) 2
B) 3
C) 4
D) 8
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0
The advantage of the graphing calculator is that you just have to find two independent equations, introduce them in the calculator and it will find the intersection point ot the two graphs.

The equations that you have to introduce are:

1) y = 2.25x + 24

2) y = 2.75x + 23

The algebraic solution, which will give you the same coordinates of the intersection point of the graphs is

2.25x + 24 = 2.75x + 23

2.75x - 2.25x = 24 - 23

0.5x = 1 => x 1 /0.5 = 2.

Answer: 2
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Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.
netineya [11]
(2x-1)(2x-1)
(4x^2+2x+1)(2x-1)

(2x-1) cancels out so

2x-1
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4. BASEBALL CARDS Ren and Chet nave
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Answer:

Chet has 14 baseball cards.

Step-by-step explanation:

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3 years ago
1. If a = -1 , the value of3a + 1 is ​
erastovalidia [21]

Answer:

f(a) = 3a + 1 \\ Now,\: a =  - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) =  - 3 + 1 \\ \boxed{ f( - 1) =  - 2}

  • Therefore, <em><u>-2</u></em> is the right answer.
6 0
2 years ago
Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
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