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Fynjy0 [20]
3 years ago
10

What is the equation of the graphed linear model? y = x + Graph:

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0
One point on the line is (1,3) and another point is (9,11).

Find the slope of the two points on the line.

\bf{Slope =\frac{y_2-y_1}{x_2-x_1} =\frac{11-3}{9-1} =\frac{8}{8} = 1

Now, let's make our equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

We now have y = 1x + b

Plug in a point and solve for b.

y = 1x + b

3 = 1(1) + b

3 = 1 + b

b = 2


The equation is y = x + 2.
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The market equilibrium point for a product is reached when 12000 units are produced and sold at $27 per unit. The manufacturer w
mamaluj [8]
If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
        supply: 324000 = 6p   ; p = 324000/6 = 54000
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8 0
3 years ago
Two sides of a right triangle measure 2 units and 4 units.
wel

Answer:

20

Step-by-step explanation:

using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20

4 0
3 years ago
Plzzz helpppp!!!!!<br>How can you identify the solution to a system of inequalities?​
VladimirAG [237]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

7 0
3 years ago
The three sides of a triangle are n, 3n + 5, and 4n − 9. If the perimeter of the triangle is 68 feet, what is the length of each
MissTica
4n - 9 + 3n + 5 + n = 68

combine like terms

8n - 4 = 68

addition property of equations

8n = 72

division property of equality

n = 9

SIDES:

n = 9

3n + 5 = 32

[ 3(9) + 5 = 32 ]

4n - 9 = 27

[ 4(9) - 9 = 27 ]
5 0
3 years ago
AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?​
alekssr [168]

Given a slope m, the slope m' of a line perpendicular to m is the opposite of the inverse of m

In other words:

mm' = -1 \iff m' = -\dfrac{1}{m}

So, the slope of CD is -5/2.

4 0
3 years ago
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