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Aleks04 [339]
3 years ago
15

The charge for a rental car is $20 plus $0.05 per mile.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

f(m)=20+0.05m

f(m)=cost(c)

20=initial cost and will be the y-intercept

0.05=the cost per mile and will be the slope

m=the number of miles driven

Step-by-step explanation:


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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (13, 84) lies
erma4kov [3.2K]

Answer:

If P = (x,y) then formulas for each trigonometric functions are:

sin x = y/r

cos x = x/r

tan x = y/x

cot x = x/y

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cosec x = r/y

where r = √(x²+y²).

First find r:

r = √(13²+84²)=√(169+7056)=√7225=85.

Then just substitute:

sin x = 84/85

cos x = 13/85

tan x = 84/13

cot x = 13/84

sec x = 85/13

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julsineya [31]

ratio of adults to students can be written as a fraction


adult tickets / student tickets

140/210 can be simplified to 14/21

14/21 can be simplifed to 2/3

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