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-Dominant- [34]
4 years ago
6

Solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x

Mathematics
1 answer:
Arada [10]4 years ago
3 0

-\frac{1}{3}x + y = -1   ⇒   y = \frac{1}{3}x - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope (\frac{1}{3}) by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

***************************************************************************************

y = 4 +  \frac{1}{3}x    ⇒   y =  \frac{1}{3}x  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

***********************************************************************************

You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution

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Sonny has $24 and Jerry has $9.56. What is the total amount of money, in
Lerok [7]

Answer:

$33.56

Step-by-step explanation:

If you add 24 and 9 together you will get $33. When you add the 56 cents, you will get $33.56.

7 0
3 years ago
A family swimming pool holds 61 m3 of water. It loses 0.27m3 of water to evaporation each day. This situation can be represented
Bezzdna [24]

Answer:

The answer to your question is: when x = 100 days, y = 34 m³

Step-by-step explanation:

Data

Volumen = 61 m³

Loses 0.27 m³ each day

Equation    y + 0.27x = 61

when x = 100, y = ?

Process, just substitute x in the equation and solve it for y

                  y + 0.27(100) = 61

                  y + 27 = 61

                  y = 61 - 27

                  y = 34 m³

It means that after ten days, the swimming pool will only have 34 m³, because 27 m³ will have evaporated.

7 0
4 years ago
(1) Ax + By = C (2) Dx + Ey = F Jim is trying to solve the system of equations. He begins by multiplying equation (1) by D and e
attashe74 [19]

Answer:

No, Angela is not correct.

As the method Jim was performing will also lead to the solution.

Step-by-step explanation:

We are given first equation as:

                  Ax + By = C

Second equation is:

                   Dx + Ey = F

Jim solved the equation as:

He begins by multiplying equation (1) by D and equation (2) by A.

and so by subtracting both the equations he will obtain a value of y.

and then put the y-value in any of the given two equations to obtain the value of x.

Angela Method:

you should have multiplied equation (1) by E and equation (2) by B.

and when she will subtract both the equations she will get the value of x first and then when she will put the value of x in any of the given equation she will obtain the value of y.

But both will get a value for x and y.

Hence, the method Jim was performing was also correct.

8 0
3 years ago
Read 2 more answers
Which equation is correct for the story below
DanielleElmas [232]

Answer: The answer is C

Step-by-step explanation:

4 0
3 years ago
Latonya bought flowers for her mother. She spent $45. Each tulip was $1 and each rose was $2. She bought 3 more tulips than rose
Yuliya22 [10]
Lets start from scratch.
45 is the number of money she spent that means that right side of = sign is 45
let m represents number of roses.
we can write:

t*$1+ m*$2 = $45

Since she bought 3 more tulips than roses that means that m = t - 3

when we express m we get:

t + 2*(t-3) = 45

<span>the answer is B.

-Lampa20</span>
8 0
3 years ago
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