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Julli [10]
1 year ago
10

) Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds

a national car rental company that charges a $15 daily fee plus $0.20 per mile. He also finds a local car rental company that charges a $14 daily fee plus $0.30 per mile. Which equation below represents a linear model for the cost of a rental from the national car rental?
*
1 point
Mathematics
1 answer:
anzhelika [568]1 year ago
7 0

Answer:

Step-by-step explanation:

National car rental equation is

C = 14d + 0.20m  

- where C= total cost, d = the number of days and m = the total number of miles driven.

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(2x+2y=10)+(-x+y=1)
ruslelena [56]
\bf \begin{cases}
2x+2y=10\\
-x+y=1
\end{cases}\\\\
-------------------------------\\\\
-x+y=1\implies y=1+x\impliedby \textit{let's plug that in the first equation}
\\\\\\
2x+2(\stackrel{y}{1+x})=10\implies 2x+2+2x=10\implies 4x=8
\\\\\\
x=\cfrac{8}{4}\implies \boxed{x=2}\impliedby \textit{let's plug that in the second one}
\\\\\\
-(\stackrel{x}{2})+y=1\implies \boxed{y=3}
7 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
How would I solve this equation for mass (m)?
zaharov [31]
Simple...

you have: F= \frac{G m^{2} }{ d^{2} }

You want to find m-->>>

1.)Isolate m

d^{2} *F= \frac{G m^{2} }{ d^{2} } * d^{2}

Leaving you with...

F*d^{2}=G m^{2}

Keep isolating m-->>>

F* d^{2} =G m^{2}

\frac{F* d^{2} }{G} = \frac{G m^{2} }{G}

Square root to solve what just m is-->>>

\sqrt{ \frac{F* d^{2} }{G} } = \sqrt{ m^{2} }

=\sqrt{ \frac{F* d^{2} }{G}  } =m

That is how you solve for m...

Thus, your answer.
7 0
2 years ago
How many terms will the following expression have once it is simplified?
MA_775_DIABLO [31]

Answer:

B


Step-by-step explanation:

<em>Let's multiply this out and combine like terms:</em>

3x(x+1)+x\\=3x^2+3x+x\\=3x^2+4x


So there are 2 terms.

Answer choice B is right.

5 0
3 years ago
Read 2 more answers
Please solve for x. I need this answered.
spin [16.1K]

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

8 0
3 years ago
Read 2 more answers
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