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kotegsom [21]
2 years ago
13

Find the equation of the line that passes through points A and

Mathematics
2 answers:
scoray [572]2 years ago
6 0

Answer:

y = 2x - 1 is the required equation

Step-by-step explanation:

slope(m) = (3-7)/(2-4)

m = -4/(-2)

so, m = 2

Now,

y = mx + b

or, y = 2x + b

so, 3 = 2*2 + b

or, 3 = 4 + b

so, b = -1

equation would be y = 2x - 1

Vlad [161]2 years ago
3 0

Answer:

Y= 2x - 1

Step-by-step explanation:

I will give you the solution for y = mx + b because it is a line.

First, find the slope.

The formula for the slope is (y2 - y1)/(x2 - x1)

I'm going to use A as y2 and x2, so it's easier because it'll give me positive numbers.

(7 - 3)/(4 - 2) = 4/2 = 2

2 is your m value.

Now you have y = 2x + b

Next, input an x and a y value to find b.

Let's take the x and y from our B value.

3 = 2(2) + b

3 = 4 + b

3 - 4 = b      (Bring the value over to the other side, change the sign)

-1 = b

So, your answer is y = 2x - 1

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Komok [63]

Answer:

What is the question?it is not clear?

Step-by-step explanation:

5 0
3 years ago
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The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. a. Use the formula
Rus_ich [418]

Answer:

a) P(x)=14x-224,000 and b) P(21,000)=70,000.

Step-by-step explanation:

a.) Use the formulas shown to write the company's profit function, P, from producing and selling x radios.

The company's profit is given by its revenue minus the production cost. Then, the profit function P(x) will be given by

  1. P(x)=R(x)-C(x)=46x-(224,000+32x)=14x-224,000.

b.) Find the company's profit if 21,000 radios are produced and sold

To obtain the company's profit we just need to substitute the value given (x=21,000) in the formula 1). Therefore,

P(21,000)=R(21,000)-C(21,000)=14(21,000)-224,000=70,000.

6 0
3 years ago
If (x+2) is a factor of x^3-6x^2+kx+10, k=
Alja [10]
If a binomial (x-a) is a factor of a polynomial, then a is a root of this polynomial.

(x+2)=(x-(-2)) \Rightarrow a=-2\\\\
(-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\
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-2k=22\\\
\boxed{k=-11}


3 0
3 years ago
I need help ASAP. I'm not good with math.
bonufazy [111]

Given:

The increase in pressure P is the linear function of the depth d.

P(d)=0.445d+14.7

The cost of dinner is $300 and $10 per students.

To find:

The initial value and rate of change and their interpretation.

Find the cost function C where n is the number of students.

Solution:

The slope intercept form of a linear function is

f(x)=mx+b          ...(i)

where, m is rate of change and b is y-intercept or initial value.

We have,

P(d)=0.445d+14.7        ...(ii)

From (i) and (ii), we get

m=0.445,b=14.7

The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.

Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.

The cost of dinner is $300 and $10 per students.

Let C(n) be the total cost for dinner and n be the number of students.

Fixed cost = $300

Additional cost for 1 student = $10

Additional cost for n student = $10n

Now,

Total cost = Fixed cost + Additional cost

C(n)=300+10n

Therefore, the required cost function is C(n)=300+10n.

8 0
2 years ago
A farm grows both beans and corn. Each year, beans earn $900 per acre and corn earns $600 per acre. The farm has a total of 58 a
beks73 [17]

Answer:

35 acres of beans and 23 acres of corn

Step-by-step explanation:

58 divided by 2 = 29 +8 = 35 x 900 = 31500

                          = 29 - 6 = 23 x 600 = 13800

                                                            = 45300

5 0
3 years ago
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