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3 years ago

I need to solve the three representations (the table, rule/equation, and the graph)

Mathematics

1 answer:

Hitman42 [59]3 years ago

3 0

Figure #5 shows 5 squares which I would assume means (5, 5)
In the table you have the point (3, 7)
From this you can find the slope: (7 - 5)/(3 - 5) = -1
Completions of table:
x y
0 10
1 9
2 8
3 7
4 6
5 5
6 4

Rule/Equation:
y = -x + 10

Graph: Plot the ordered pairs from the table

You might be interested in

23/4 as a whole number.

Sladkaya [172]

Answer:

5.75 or 5 3/4

Step-by-step explanation:

Divide 23/4 or

2+3=5

Then use 3/4

5 3/4

4 0

3 years ago

Read 2 more answers

Please help me out please

N76 [4]

You can solve this since you can develop 3 equations for your 3 unknowns. Each equation is made using the Pythagorean theorem:

1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2

Simplifying the above we get:

1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2

We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:

2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2

Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:

1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5

3 0

4 years ago

Solve the system by substitution. x= 2y + 7 3x – 2y = 3 The solution is?

seropon [69]

Hi there! Your answer is x = -2, y = -9/2

In coordinate point, we can write (-2,-9/2)

Please see the explanation below for a clear understand about the problem.

Any questions about the answer, feel free to ask in comment! :)

Step-by-step explanation:

Goal

Solve the system of equations by substitution method.

Given

System of Equations

$\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}$

Step 1

Since our x-term is the subject in the first equation, we can simply substitute x = 2y+7 in the second equation.

Substitute x = 2y+7 in the second equation.

$3x-2y=3\\3(2y+7)-2y=3$

We do this so we can solve for the y-term without any problems. (We need to get rid of a variable if there are more than one variable.)

Then we distribute/expand 3 in the expression.

$6y+21-2y=3\\4y+21=3$

Step 2

Solve the equation for y-term

To solve the equation, we have to isolate the term that we want. For this scenario, we want to know the value of y-term. Therefore, we isolate y-term.

$4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}$

Finally! we know the value of y which is -9/2. But we are not done yet!

Step 3

Substitute the y-value in any given equations.

After we solve the equation, we have to substitute the value in any given equations. No need to substitute the value in both equations! Choose an equation to substitute the value in.

For this, I will be choosing an equation with less coefficients which is the first equation.

$x=2y+7$

Substitute y = -9/2 in the equation.

$x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2$

We should get x = -2 as the answer. This is our last step for finding an answer. The next few steps are going to be how to check the answer for system of equations. Note that next few steps are optional. If you are not certain that the answer is wrong or right, it is highly advised to check the answer before jumping to a conclusion!

Optional Steps - Answer Check

To check the answer, we can simply substitute both x-value and y-value in any given equations. You can either choose only a single equation to substitute in ONLY if you are certain/sure that the answer is likely correct. Substituting in both equations are recommended for beginners.

Step 3

Substitute x = -2 and y = -9/2 in the system of equations.

Step 3.1

Substitute in x = 2y+7

$x=2y+7$

From x = -2 and y = -9/2

$-2=2(-\frac{9}{2} )+7$

Cancel 2 out.

$-2=-9+7\\-2=-2$

As you can see, both sides are equal. That means the equation is true for x = -2 and y = -9/2.

Step 3.2

Substitute in 3x-2y = 3

$3x-2y=3$

Substitute x = -2 and y = -9/2 in the equation.

$3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3$

Since both equations are true for x = -2 and y = -9/4. We can conclude that:

$\huge\sf{x = -2 \ and \ y = -\frac{9}{2} \ are \ the \ solutions \ to \ the \ system \ of \ equations.}$

Hence, the answer is x = -2 and y = -9/2.

5 0

3 years ago

Describe the impact of a prolonged drought on Georgians economy, society and tourism

zlopas [31]

ANSWER: The prolonged drought had a very negative impact on the Georgians. Economy got ruined due to less agriculture yields and less animal feed. Small grains were almost empty or was on the verge of it.

The society had an adverse effect on them with wildfires being more frequent that before. This could lead to injuries, damages or even death. The smoke from wildfire also decreased the air quality of the city.

Number of tourists decreased day by day as wildfire destroyed all the tourist spots.

5 0

3 years ago

A book store is offering 10% off your total bill. If you owe $130.50 how much was your bill before the incentive

nata0808 [166]

The answer is B. 145

To find the answer you divide 130.50 by the remaining of the 100%

So divide 130.5 by .9 if that makes sense.

Hope this helps.

8 0

3 years ago

Read 2 more answers