All categories

2 years ago

The line y = mx + c passes through the points (-2, 1) and (4,4).

Mathematics

2 answers:

guapka [62]2 years ago

5 0

Answer:

y = 1/2m + 2

Step-by-step explanation:

1 = -2m + c (1)

4 = 4m + c (2)

2 = -4m + 2c (1*)

(1*) + (2) = 6 = 3c

c = 2

y = mx + 2

4 = 4m + 2

2 = 4m

m = 1/2

so y = 1/2m + 2

34kurt2 years ago

3 0

Answer:

Step-by-step explanation:

Insert x for -2 & 4 and y for 1 & 4

1=-2m+c, 4=4m+c

solve the equation, m=1/2, c=2

You might be interested in

For the funtion f(x)= (x+7)^5, Find f^-1 (x)

quester [9]

Answer:

The inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

Step-by-step explanation:

For the function $f(x)= (x+7)^5$ , Find $f^{-1} (x)$

For finding inverse of x,

First let:

$y=(x+7)^5$

Now replace x with y and y with x

$x=(y+7)^5$

Now, solve for y

Taking 5th square root on both sides

$\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7$

Now, replace y with $f^{-1} (x)$

$f^{-1} (x)=\sqrt[5]{x}+7$

So, the inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

6 0

3 years ago

A small company has 10,000 shares. Stephen owns 500 of these shares. The company decides to split its shares. What is Stephen's

Sergeu [11.5K]

So the company splits there shares now every thing doubles now there are 20,000 shares and you own 1,000 to find the answer you divide a

1,000 by 20,000 which will give you 0.05 then you multiply

0.05 by 100 and you get 5

So after the split you own 5% of the company

7 0

3 years ago

Use compatible numbers to estimate the quotient of 776÷28

kiruha [24]

The answer to ur division problem would be 27.6785714286

4 0

3 years ago

A recipe for fruit punch calls for 8 cups of Sprite for every 12 cups of fruit juice. Which equation can be used to find x, the

Nikolay [14]

Answer:

It would be 1/3

Step-by-step explanation:

3 0

3 years ago

Dr. Jones is interested in expanding his practice by adding a piece of radiology equipment. The basic cost of the equipment woul

inysia [295]

Answer:

Dr. Jones' projected income is US$ 56.793, projected costs are US$ 61,935.48 and projected loss is US$ 5,142.48 for the 1st year of the radiology service.

Step-by-step explanation:

1. Dr. Jones Income per year:

Income = 1,100 * 51.63

Income = US$ 56,793

2. Dr. Jones Costs

Equipment = US$ 1,564.29 loan cost monthly

Radiology tech salary = US$ 39,600 (including taxes and fringe benefits)

Variable cost = US$ 3.24 * 1,100

Equipment = 1,564.29 * 12 = US$ 18,771.48

Radiology tech salary = US$ 39,600

Variable cost = US$ 3,564

Total costs = Equipment loan cost + Radiology tech salary + Variable cost

Total costs = 18,771.48 + 39,600 + 3,564

Total costs = US$ 61,935.48

3. Dr. Jones Profit or Loss

Profit or loss = Income - costs

Profit or loss = 56,793 - 61,935.48 (Costs are higher than income)

Loss = US$ 5,142.48

5 0

3 years ago