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guapka [62]
3 years ago
5

A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

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a toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.
satela [25.4K]

A toy cost 0.85p in January.

Step-by-step explanation:

Given,

Mark down in January = 15%

Let,

Price in December = p

Mark down in January = 15% of price in December

Mark down in January = \frac{15}{100}*p

Mark down in January = 0.15p

Price of toy in January = Price in December - Mark down

Price of toy in January = p - 0.15p = 0.85p

A toy cost 0.85p in January.

Keywords: mark down, subtraction

Learn more about subtraction at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

7 0
3 years ago
HELP ASAP!<br> Find the value of x. -1x + 72 = -3x + 84
hoa [83]

Answer:

x=6

Step-by-step explanation:

First, add x to each side.

72=-2x+84

Subtract 84 from each side

-12=-2x

Dive each side by -2

6=x

8 0
3 years ago
Read 2 more answers
Please help me. ASAP.Please I need answer step-by-step.
nikitadnepr [17]

so this is how i was taught the inverse function.  f(x) is basicly the same thing as saying y

so y=x over x+3  

you switch the top x with y so it turns in to x=y over x+3

the problem should tell you what x equals so substitute x with the number it equals and then solve

here is an example f(x)=x over x+3 and x=14

x=y over x+3

14=y over 14+3

the inverse inverse function would probably be just solve the equation so just substitute the number they give you for x in for x

4 0
3 years ago
What is the scale factor of the dilation?
VLD [36.1K]
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

The scale factor k can be obtained from any one of the ratios:
scale\, factor\, =\, k\, = \frac{OD'}{OD}=\frac{OE'}{OE}=\frac{OF'}{OF}=\frac{OG'}{OG}=\frac{1}{2}
6 0
3 years ago
Read 2 more answers
How can sums and differences of cubes be identified for factoring?
Ad libitum [116K]
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)

Example for the sum of cubes:

64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers

By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)

--------------------------------------------------------------------------------------------------------------

The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)

Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
                     = (5x - 2y) (25x² + 10xy + 4y²)
7 0
3 years ago
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