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Rasek [7]
3 years ago
9

Write a problem based on the given information.

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

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How does the rate of change vary from point to point?
Tpy6a [65]

\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

8 0
3 years ago
Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amou
Westkost [7]
To find the answer, we multiply 1,047.30 by 6.2% which is 0.062 in percentage.
1047.30 x 0.062 = 64.93
64.93 is being taken away.
3 0
3 years ago
Read 2 more answers
I don't understand how to solve this, please help!
murzikaleks [220]

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

<h2>1+b-4=0 ⇒ +b-3 ⇒ b=3</h2>

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

<h2>a=-2</h2>

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

7 0
3 years ago
What is 11.4 divided by 19
brilliants [131]
The answer would be 0.6
8 0
3 years ago
Read 2 more answers
Can someone help please
Pepsi [2]

Answer:

A: 5

B: 6

C: 3x^2 - 2x

D: 8

E: 22

Step-by-step explanation:

A: (-1)^2 + 4 = 5

B: (-4)^2 +4 = 16

2 x (-3) -4 = -10,

16-10=6

C: 3(x^2 + 4) = 3x^2 + 12

3x^2 + 12 -2x -4, simplify

3x^2 - 2x

D: g(3) = 2*3 -4 = 2

f(2) = 2^2 +4 = 8

E:  f(3) = 3^2 + 4 = 13

g(13) = 2*13 - 4 = 22

6 0
3 years ago
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