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Andrei [34K]
3 years ago
5

Which equation represents the slope-intercept form of the line below? y intercept: 0, 8 slope : 1/2

Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

y = 1/2 x + 8

Step-by-step explanation:

We are given the y intercept and the slope, so we can write the equation using the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = 1/2 x + 8

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You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
2 years ago
PLZZZZZZZZZ HLPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEE
DiKsa [7]
Note: The function is below the graph, so it is less than.

3 0
3 years ago
Read 2 more answers
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times
cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

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

                      # of total outcomes

So the probablity is 5/32.

8 0
3 years ago
What is the area of this figure?
Ostrovityanka [42]
Hope this can help you

6 0
3 years ago
Read 2 more answers
Which pair of angles are alternate exterior angles?
Neko [114]

Answer:

<2 and <7

Step-by-step explanation:

Because <2 and <6 are equal and <3 and <7 are equal as well means that angles <2 and <7 are alternate exterior angles as well as angles <3 and <6.

4 0
3 years ago
Read 2 more answers
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