All categories

2 years ago

11B. Long Beach Towing Company charges $40 plus $5 per mile to

Mathematics

1 answer:

gavmur [86]2 years ago

5 0

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

$L(x) = 40 + 5x$

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

$F(x) = 70 + 2x$

After how many miles the charges for the two companied will be the same?

This is x for which:

$L(x) = F(x)$

$40 + 5x = 70 + 2x$

$5x - 2x = 70 - 40$

$3x = 30$

$x = \frac{30}{3}$

$x = 10$

The charges will be the same after 10 miles.

You might be interested in

How to know if you got a one solution

uysha [10]

Answer:

You know you got one solution if when you solve your equation its not for example 5=5 because that's infinite solutions or 5=6 because that's no solution so one solution would be like y=5

6 0

2 years ago

coach cliffman made a deposit of $1,800 into an account that earns 2% annual simple interest. find the amount of interest that c

igomit [66]

He earns $36 after 3 years

3 0

2 years ago

Determine which of these relations are transitive. The variables x, y, x', y represent integers A.x~y if and only if x +y is pos

Veronika [31]

Answer:

A, B, C,D, F

Step-by-step explanation:

The explanation for why each option is transitive and option E is not transitive is explained in the attachment

6 0

3 years ago

P(x) is a polynomial with integer coefficients and p(-3) = 0.

natka813 [3]

Answer:

x + 3 is a factor of the polynomial.

Step-by-step explanation:

We have been given that p(x) is a polynomial with integer coefficient.

Also p(-3)=0

Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.

Now, we apply factor theorem.

Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).

Applying this theorem, we can say that (x+3) must be a factor of the polynomial.

Hence, first statement must be true.

5 0

3 years ago

Read 2 more answers

Rewrite! Write an new and equivalent equation that is easier to solve

Marysya12 [62]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - an equation in a standard form

To do - simplify the equation so as to obtain an easier one

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

$\bold{ax + b = 0}$

The equation after getting converted will be as follows ~

$- 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}$

hope helpful ~

6 0

2 years ago