All categories

4 years ago

What is the slope-intercept of the linear function (3,5) and (2,1)

1 answer:

8 0

The formula to find the slope of a line is m=(y2-y1)/(x2-x1). In this question: x1=3, x2=2, y1=5, and y2=1. Plug in and solve:

(1-5)/(2-3)=-4/-1=4=m

Slope-intercept form follows the format: y=mx+b, where m is the slope and b is the y-intercept. We calculated m to be 4, so the equation reads:

y=4x+b

To solve for b, you can select one of the ordered pairs (we'll use (2,1)), plug them in for x and y, and solve for b:

1=4(2)+b

1=8+b

-7=b

The equation is y=4x-7.

Hope this helps!!

You might be interested in

A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $

vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.

(a)Cost function

C(x) = FC + vc*Q

Where

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0

3 years ago

(a) Work out the reciprocal of 1.25

Oxana [17]

Answer:

0.8 OR $\frac{4}{5}$

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

$\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1$

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

$\frac{125/25}{100/25}=\frac{5}{4}$

Now we just flip 5/4 to get our reciprocal:

$\frac{4}{5}$ = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 ( $\frac{5}{4}$ ) is 0.8 ( $\frac{4}{5}$ ).

Hope this helped!

8 0

3 years ago

What is the area of a sector that has a radius of 25 mm and has an angle measure of 50 degrees ?

alisha [4.7K]

Answer:

Did you find the answer to this yet ?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which expression has a value of -2?

Hitman42 [59]

Answer:

B and C.

Step-by-step explanation:

3*4=12,12/6 is 2. Incorrect

-3*-4=12,12/-6 is -2, Correct

-3*4=-12,-12/6 is -2. Correct

3*-4=-12,-12/-6=2. Incorrect.

7 0

3 years ago

Read 2 more answers

Students are making the scenery for a school play. They use a large piece of plywood to represent the front of a house, with a s

Vera_Pavlovna [14]

Considering the figures, the area that will be painted is of 38.9 square feet.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by:

$A = lw$

<h3>What is the area of a triangle?</h3>

The area of a triangle of base b and height h is given by:

$A = \frac{bh}{2}$

<h3>What is the area of a semi-circle?</h3>

The area of a semi-circle of radius r is given by:

$A = 0.5\pi r^2$

In this problem:

The rectangle with l = 6 ft and w = 8 ft will be painted, along with the triangle of dimensions b = 8 ft and h = 4 ft.

The semi-circle with r = 4 ft will not be painted.

Hence, the area that will be painted, in square feet, is given by:

$A = 6 \times 8 + \frac{8(4)}{2} - 0.5\pi 4^2 = 64 - 8\pi = 38.9$

More can be learned about the area of a figure at brainly.com/question/10489198

3 0

3 years ago