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ELEN [110]
3 years ago
5

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is t

he maximum number of days for which a car could be rented if the total cost was $425?
Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

<h3>6 days</h3>

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

<em>Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days</em>

<em></em>

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Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
dlinn [17]

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                   (f - g)(x) = 3x + 5 - x²
  2. Rewrite:                       (f - g)(x) = -x² + 3x + 5
7 0
3 years ago
A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,
Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

People = 12

Selection =3 (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

^nC_r = \frac{n!}{(n - r)!r!}

Where

n = 12

r= 3

So, we have:

^nC_r = \frac{n!}{(n - r)!r!}

^{12}C_3 = \frac{12!}{(12 - 3)!3!}

^{12}C_3 = \frac{12!}{9!3!}

^{12}C_3 = \frac{12*11*10*9!}{9!3!}

^{12}C_3 = \frac{12*11*10}{3!}

^{12}C_3 = \frac{12*11*10}{3*2*1}

^{12}C_3 = \frac{12*11*10}{6}

^{12}C_3 = 2*11*10

^{12}C_3 = 220\ ways

<em>There are 220 choices</em>

8 0
3 years ago
A dolphin was swimming 6 feet below sea level. The number line shows the
Ksju [112]

On the number line, move 4 units to the right. End at -2. The dolphin was 2 feet below sea level.

<h3>What is number line?</h3>

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

A dolphin was swimming 6 feet below sea level.  It then swam up 4 feet.

So, -6+4= -2 feet

As, from the information

On the number line, move 4 units to the right. End at -2. The dolphin was 2 feet below sea level.

This is because the dolphin 6 feet below sea level and swam up 4 feet.

Learn more about this concept here:

brainly.com/question/14379626

#SPJ1

5 0
2 years ago
2.
Artyom0805 [142]

Answer:

C) y = \frac{1}{2} × 4^x

6 0
3 years ago
Read 2 more answers
14-(11+5)×3+2<br>answer the question
aleksandrvk [35]

14 - (11 + 5) * 3 + 2

Solve inside the parentheses first (11 + 5).

14 - (16) * 3 + 2

Solve multiplication next (16 * 3).

14 - 48 + 2

Solve from left to right.

-34 + 2 = -32

Your answer is -32.

5 0
3 years ago
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