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IrinaK [193]
3 years ago
6

A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that sh

ows how the total cost for a month, y, depends on the number of deliveries, x. Do not include dollar signs in the equation.
Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

The linear function that models the total cost for x deliveries is:

y(x) = 2x + 9

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

A linear function has the following format:

y = mx + b

In which

  • m is the slope, that is, the rate of change.
  • b is the y-intercept, that is, the value of y when x = 0.

In this problem:

  • Fixed cost of $9 per month, b = 9.
  • Cost of $2 for each delivery, thus m = 2.

The function for the <u>total cost for x deliveries is:</u>

y(x) = 2x + 9

A similar problem is given at brainly.com/question/16270359

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Quadrilateral RAPS is located at the vertices
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Answer:

R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the line y = x, the new point is at  A'(y, x)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Since Quadrilateral RAPS is located at the vertices  R(-4,1), A(-3, 4), P(0,5), S(-1,1), After been reflected  across the line y = x, the new locations are at:

R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1)

Then the rotation of the points R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1) 180° about the origin gives:

R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)

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Dave bought a package of 4 chocolate cookies. Each cookie weighed 0.5 ounces. How much did the 4 cookies weigh all together? Ple
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3 years ago
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the
maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that a = 0.95, b = 1.05

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

P(X > x) = 0.9

So

\frac{1.05 - x}{1.05 - 0.95} = 0.9

1.05 - x = 0.9*0.1

x = 1.05 - 0.9*0.1

x = 0.96

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

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3 years ago
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