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3 years ago

Find the domain of the funtion 4/x-7

1 answer:

5 0

Domain means which values the function can have which make it true or Possible to solve

So all you got to do is set the denominator = to 0 and solve for x
You will get x=7

4/(7-7) is not possible

So x cannot equal to 7 because you cant divide a number by 0!

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Find the surface area of the following figure with the given dimension

andrezito [222]

Answer:

The surface area is 54 square feet

Step-by-step explanation:

Given

The attached figure

Required

The surface area

This is calculated as:

$SA = 2(LW + LH + HW)$

Where

$L = Length\\ W = Width\\ H = Height\\$

So,

$SA = 2 * (3 * 3 + 3 * 3 + 3 * 3)$

$SA = 54$

6 0

3 years ago

The Oliver Company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,500 uni

Ghella [55]

<span>For the Oliver Company to break even, the total revenue must equal the sum of the variable costs and the fixed cost. Mathematically, this can be represented as: Total revenue = 0.4*(Total revenue) + (Fixed Costs) Let the number of units sold be x. then, 7*x = 0.4*(7*x) + 6300 Thus, x = 6300/(0.6*7) = 1500 units. Thus the company will have to sell 1500 units to break even.</span>

8 0

3 years ago

Convert 7 kilometers into miles

ladessa [460]

4.3496 miles.

HTH (Hope This Helps)

6 0

4 years ago

1. Identify your variables using let statements.

Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

x = number of chicken dish and
y = number of lobster dish

<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570 (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570 (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570 (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570 (1)

40(250 - y) + 70y = 13570 (1)

10000 - 40y + 70y = 13570

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

#SPJ1

7 0

2 years ago

Question 13 (Essay Worth 8 points)

mixer [17]

9514 1404 393

Answer:

geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

an = 3(-4)^(n-1)

so the sum can be written as ...

$\displaystyle\sum_{n=0}^\infty3(-4)^n$

(Note the summation starts at n=0, corresponding to a first term of 3.)

3 0

3 years ago