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Helen [10]
3 years ago
8

5. Molly subscribed to a new streaming service. The monthly cost includes a $9 base fee plus $0.50 for each

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

a.   c = 9 + 0.5w

b.   She'll pay $11.5

Step-by-step explanation:

Given

Base Fee = $9

Additional Fee = $0.50 per show

Solving (a): Find the relationship between c and w

c = Monthly cost

w = Number of shows

c = Base Fee + Additional Fee * Number of Shows

c = 9 + 0.5 * w

c = 9 + 0.5w

Solving (b): Find c if w = 5

c = 9 + 0.5w

Substitute 5 for w

c = 9 + 0.5 * 5

c = 9 + 2.5

c = 11.5

<em>Hence, She'll pay $11.5</em>

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Zielflug [23.3K]

For the probability of rain on julty 4h of 0.5 his expected profit is  8885.5 dollars.

<h3>What is probability?</h3>

The probability is occurrence of a certain event out of the total number f events that can happen.

Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.

If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.

We know, the expected profit is,

= 0.5(30427) - 0.5(12656).

= 15213.5 - 6328.

= 8885.5 dollars.

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8 0
1 year ago
write the equation in slope intercept form of the line that passes through -1, 11 and is parallel to the graph of y = -8x + 3
lawyer [7]
<h2>Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>

<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

                 ⇒  if the slope of this line = - 8

                      then the slope of the parallel line (m) = - 8

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 11  =  - 8 (x - (-1))                                

                                ∴  y - 11  = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                      since   y - 11  = - 8 (x + 1)

                                        y  = - 8 x  + 3

The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

5 0
2 years ago
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Answer:

A.

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Graph B must be incorrect as this is a directly proportional relationship. Likewise, graph C shows an inversely proportional relationship.

Between graph A and D, only graph A passes through the origin, which is true because if length is zero, perimeter is zero.

Hence the answer is Graph A.

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