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bija089 [108]
2 years ago
7

Find the slope of the line that passes through (5, 1) and (9, 2). It’s due in 4 minutes

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
8 0

Answer:

1/4

Step-by-step explanation:

(2-1)/(9-5)

1/4

You might be interested in
What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)
Vlada [557]
We want to find \displaystyle{  \frac{dy}{dx}, for

            \displaystyle{ y=(x^2+2)^3(x^3+3)^2.

Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

                                  (fg)'=f'g+g'f.

Thus,

 y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3

Answer: A)      3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3.



8 0
3 years ago
sal works for a computer repair shop. he has determines that customers pay on average $150 for each computer they bring in. He p
Effectus [21]

Answer:

The answer is :

sal must repair 320 computers in a year to break even.

Step-by-step explanation:

The break even point in a business is the point at which the total costs and the total revenue in a business are equal.

In order to calculate sal's break even point, we will first of all calculate the total costs incurred during the business year, then using the selling price (repairing price), we will calculate how many computers will be repaired to reach the incurred cost. This is done as follows:

Rent per month = $2,000

∴ Rent for a year (12 months) = 2,000 × 12 = $2,400

Cost incurred in fixing each computer = $75

Priced charged for fixing each computer = $150

Next, since we know that sal requires $75 in parts and labor to fix a computer, we will calculate the net price charged for each computer fixed as follows:

Net price charged = Priced charged for fixing each computer - Cost incurred in fixing each computer

Net price charged = 150 - 75 = $75

Finally to calculate the break even point, we know the net income (net price charged) for each computer and the costs of rent for each year, therefore, we will divide the cost incurred by the net price charged, as follows:

break even point = cost of rent for one year ÷ net price charged

break even point = 24,000 ÷ 75 = 320 computers.

Therefore, by the time sal repairs 320 computers during the year, he must have covered the costs incurred in operations, every additional repair, becomes a profit.

3 0
2 years ago
Demarcus and his brother are saving up some money to take a trip together. to open a joint savings account, demarcus deposited a
Anastaziya [24]

a. Demarcus' method is (d + d + 7) = 111/3

b. His brother's method is 3d + 3d + 3 × 7 = 111

c. The banker's method is 3(2d + 7) = 111

<h3>How to complete each person's method</h3>

Each pperson's method is the solution to a linear equation

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

A linear equation is an equation in which the highest power of the unknown is 1.

<h3>a. How to complete Demarcus' method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and demarcus was solving the equation and his first step was to divide both sides by 3, we have that

3(d + d + 7) = 111

(d + d + 7) = 111/3

d + d + 7 = 37

2d + 7 = 37

2d = 37 - 7

2d = 30

d = 30/2

d = 15

So, Demarcus' method is (d + d + 7) = 111/3

<h3>b. How to complete his brother's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and his brother started solving the equation by using the distributive property,we have that

3(d + d + 7) = 111

3d + 3d + 3 × 7 = 111

3d + 3d + 21 = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, his brother's method is 3d + 3d + 3 × 7 = 111

<h3>c. How to complete the banker's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and their banker started solving the equation by combining like terms, we have that

3(d + d + 7) = 111

3(2d + 7) = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, the banker's method is 3(2d + 7) = 111

Learn more about linear equation here:

brainly.com/question/26260688

#SPJ1

6 0
1 year ago
Four more than -3 times a number is equal to 8 more than -4 times the same number
postnew [5]

Answer:

The equation is 4 + ( − 3 x ) = 8 + ( − 4 x ) and the answer is x=4

Explanation:

Let us call the number  

x

and write our condition as:

4 + ( − 3 x ) = 8 + ( − 4 x )

rearranging: 4 x − 3 x = 8 − 4

x = 4

6 0
3 years ago
At the local video rental store,
Naily [24]
4 dollars and seventy six cents will be the total
7 0
2 years ago
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