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Anon25 [30]
4 years ago
15

For a telephone call from New York City to Los Angeles, a telephone company charges $1.05 for the first three minutes and $0.25

for each additional minute.
Which of the expressions shows the cost of any phone call over 3 minutes? (m represents the number of minutes over 3)
Mathematics
1 answer:
kotegsom [21]4 years ago
6 0

Answer:

y = 0.25x + 1.05

x being the additional minutes

y being the total cost

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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es
iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550}  (x-550)\\\\y=\frac{1}{2}x-25

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0
3 years ago
What are the intercepts of x^2+y-9=0
Dmitry_Shevchenko [17]

Answer:

Zeros

x = -3   point (-3 ,0)

x = 3   point (3 ,0)

Step-by-step explanation:

Using a graphing calculator, we can easily check the intercepts of the equation

y  = -x^2 +9

8 0
3 years ago
Which answer is a solution of the equation?
Nuetrik [128]

2x + y = 5

Put the coordinates of the points to the equation and check it:

A. 5 - not make sense

B. (1, 2) - x = 1, y = 2

2(1) + 2 = 2 + 2 = 4 ≠ 5  NOT

C. (2, -1) - x = 2, y = -1

2(2) + (-1) = 4 - 1 = 2 ≠ 5    NOT

D. (3, -1) - x = 3, y = -1

2(3) + (-1) = 6 - 1 = 5    YES

<h3>Answer: D. (3, -1).</h3>
8 0
3 years ago
Which expression is equivalent to (-4y-x)-(y-9x) ?
777dan777 [17]

Answer:

-5y + 8x

Step-by-step explanation:

(-4y-x)-(y-9x)\\\\-4y-x-(y-9x)\\\\\rightarrow-(y-9x)*-1=-y+9x\\\\-4y-x-y+9x\\\\-4y-y+9x-x\\\\\boxed{-5y+8x}

7 0
3 years ago
Landon is a maintenance worker at an amusement park. He stands atop a raised platform of the park's most popular
Helga [31]

Answer:

the equation fits the situation, but the table doesn’t.

Step-by-step explanation:

For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.

The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.

Begin by checking the equation. Rewrite the equation in factored form:

f(x) = x^{3} − 11x^{2} + 20x + 32

= (x + 1)(x^{2} − 12x + 32)

= (x + 1)(x − 4)(x − 8)

The equation has x-intercepts of 4 and 8.

But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.

So, the equation fits the situation, but the table doesn’t.

3 0
3 years ago
Read 2 more answers
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