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3 years ago

6

Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of you

r points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)

1 answer:

Bad White [126]3 years ago

4 0

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

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Help me please thanks !

GREYUIT [131]

That’s 125 times 9!!! which is 1125!!!

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3 years ago

Solve the following system of equations. 2x + y = 3 x = 2y - 1 Make sure there are NO SPACES in your answer. Include a comma in

mrs_skeptik [129]

Answer: $x=1;y=1$ or (1,1)

Step-by-step explanation:

You can apply the Method of substitution.

Knowing that $x = 2y - 1$ (second equation), you can substitute it into the first equation and solve for the variable y:

$2x+y=3\\2(2y - 1)+y=3\\4y-2+y=3\\5y=3+2\\5y=5\\y=1$

Now you need to substitute $y=1$ into the second equation $x = 2y - 1$ to calculate the value of the variable x. Then:

$x = 2(1) - 1\\x=2-1\\x=1$

Then, the solution is:

$x=1;y=1$ or (1,1)

5 0

3 years ago

Read 2 more answers

Please help and thx <br><br>I will mark brainlest <br><br><br>And don’t just guess <br><br>Answer #4

Effectus [21]

Answer:

4. D

Step-by-step explanation:

$y=-5$ is just a graph of a constant, meaning that it has a slope of 0 and does not change.

5 0

3 years ago

Read 2 more answers

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

25 times 10 to the -3 power in scientific notation

Akimi4 [234]

The answer is :
25 × 10^-3 = 0.025

5 0

4 years ago