The first problem. Divide

What is the equation of the line in slope-intercept form?

GREYUIT [131]

Y=5/2x+5 because the slope is 5/2 and the y-intercept is 5

6 0

3 years ago

The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?

Kipish [7]

Answer:

The equation for the relationship is $y = \frac{7}{2}\cdot x$ .

Step-by-step explanation:

Given that point $(x,y) = (6, 21)$ is part of a direct relationship. That is:

$y \propto x$

$y = k\cdot x$ (1)

Where $k$ is the proportionality constant.

If we know that $x = 6$ and $y = 21$ , then the proportionality constant is:

$k = \frac{y}{x}$

$k = \frac{21}{6}$

$k = \frac{7}{2}$

Lastly, the equation for the relationship is $y = \frac{7}{2}\cdot x$ .

7 0

3 years ago

Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.

max2010maxim [7]

Answer:

(4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

4x -(2x-2) = 10

2x +2 = 10 . . . . simplify

x +1 = 5 . . . . . . .divide by 2

x = 4 . . . . . . . . . subtract 1

y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

__

<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

(4x -y) +(y) = (10) +(2x -2)

4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

2x = 8 . . . . . . . . . subtract 2x

x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

(x, y) = (4, 6)

__

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

(4x -y) +2(y) = (10) +2(2x -2)

y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

6 = 2x -2 . . . substitute for y in the second equation

3 = x - 1 . . . divide by 2

x = 4 . . . . . add 1

(x, y) = (4, 6)

3 0

3 years ago

Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the tw

Sauron [17]

Answer:

The factors are 3 and -9

Step-by-step explanation:

The given trinomial is $x^2-6x-27$ .

We need to find two factors. We know that,

3(9) = 27

So,

$x^2-6x-27$ can be written as :

$x^2+3x-9x-27$ as two factors add up to get -6 and multiply to get -27.

Hence, the factors are 3 and -9.

5 0

2 years ago

Use any problem stragey

Scilla [17]

Answer:

He planted 44 fields do corn, and 22 each for wheat and grass.

Step-by-step explanation:

There are three subjects. If we have something that was 2x as much as wheat, and then something half as much as that, we know that the wheat and grass are equal. Then, you just need to think about how a 50 25 25 split would work out of 88.

8 0

3 years ago