All categories

2 years ago

Select the correct answer.

Mathematics

1 answer:

Anna11 [10]2 years ago

7 0

Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we consider:

The flat fee as the y-intercept.

The hourly rate as the slope.

Hence the costs for x hours of moving from each company are given as follows:

A(x) = 50 + 25x.

B(x) = 40 + 30x.

C(x) = 60 + 20x.

D(x) = 150 + 5x.

For 7 hours, the costs are given as follows:

A(7) = 50 + 25 x 7 = $225.

B(7) = 40 + 30 x 7 = $250.

C(7) = 60 + 20 x 7 = $200.

D(7) = 150 + 5 x 7 = $185.

Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

You might be interested in

If f(x) = 2x2 – 2, what is<br> X, what is f(-6)<br> give the right answer for a brilliant!

NARA [144]

Answer:

f(- 6) = 70

Step-by-step explanation:

To evaluate f(- 6) , substitute x = - 6 into f(x)

f(- 6) = 2(- 6)² - 2 = 2(36) - 2 = 72 - 2 = 70

5 0

3 years ago

A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to

Delvig [45]

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

<h3>What is inequality?</h3>

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ1

6 0

1 year ago

The paper usage at a small copy center is normally distributed with a mean of 5 boxes of paper per week, and a standard deviatio

VladimirAG [237]

Answer:

1.649 approximately 2

Step-by-step explanation:

S.d = standard deviation = 0.5

Time taken = lead time = 2 weeks

Mean = demand for week = 5 boxes

We are required to find the safety stock to maintain at 99% service level.

At 99% level, the Z value is equal to 2.326.

Therefore,

Safety stock = z × s.d × √Lt

= 2.326 × 0.5 x √2

= 1.649

Which is approximately 2.

7 0

3 years ago

A triangular pyramid has a surface area of 174 square feet. It is made up of equilateral triangles with side lengths of 10 feet.

emmainna [20.7K]

Answer:

Slant height = 7.07 ft to nearest hundredth.

Step-by-step explanation:

The slant height = height of one of the triangular sides

Using Pythagoras:

S^2 = 1/2 * 10^2 + 10^2 = 50 ft.

S = √50 = 7.071

6 0

2 years ago

The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0

3 years ago