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Phantasy [73]
3 years ago
7

A system of equations is graphed on a

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

(1, 4)  

Step-by-step explanation:

\text{It looks as if "they" are asking you to solve the problem graphically.}\\\text{Then, you must solve each equation for y, plot a few points for each graph,}\\ \text{and see where each graph intersects. }

\begin{array}{rcl}(1) & 2x + 3y = 12 & \\& 3y = 12 - 2x& \text{Subtracted 2x from each side}\\ & y = 4 - \dfrac{2}{3}x & \text{Divided each side by3}\\\\(2) & 4x + 2y =10& \\& 2y = 10 - 4x& \text{Subtracted 2x from each side}\\ & y = 5 - 2x & \text{Divided each side by 2}\\\end{array}\\

Below are a few points for Equations (1) and (2).}

\begin{array}{cc|cc}\mathbf{x} & \mathbf{y} & \mathbf{x} & \mathbf{y}\\0 & 4 & 0 & 5\\& & 1 & 3\\& & 2 & 1\\3 & 2 & &\\6 & 0 & &\\\end{array}\\

Equation (1) is the blue line in the graph below.

Equation (2) is the red line.

The two lines cross at the black dot

Your four points are labelled . The one that is closest to the intersection is (1, 4).

The approximate solution to the system of equations is (1, 4).

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Please look at the question below and choose the correct answer.
Sav [38]

Answer:

c. 500

Step-by-step explanation:

5/100=25/x

2500=5x

2500/5=x

500=x

4 0
3 years ago
Shashi Rimoko earns $620 per week as a chef. He has group
finlep [7]

Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.

The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:

<em>= Amount x (1 - percentage paid by restaurant)</em>

= 9,560 x ( 1 - 80%)

= $1,912

The amount he pays for Dental coverage is:

<em>= Amount x (1 - percentage paid by restaurant)</em>

= 172 x (1 - 65%)

= $60.20

The total amount he pays for insurance per year is:

<em>= Medical + Dental </em>

= 1,912 + 60.20

= $1,972.20

The weekly deduction is:

<em>= Year amount / No. of weeks in year </em>

= 1,972.20 / 52

= $37.93

In conclusion, $37.93 is deducted from his paycheck every week.

<em>Find out more at brainly.com/question/16711490.</em>

4 0
2 years ago
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining
kykrilka [37]

Answer:

C

Step-by-step explanation:

Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.

We can get this by subtracting the fractions of the first two phases from 1.

This goes as follows:

1 - (1/5) - (2/3) = 2/15

Now, we know that the final 8 kilometers constitute a fraction of just 2/5

Hence, we know that 2/15 of the total journey is 8 kilometers.

Let the total journey distance be T. This means that 2/15 of T is 8km

2/15 * T = 8km

T = ( 8 * 15 )/2 = 120/2 = 60km

6 0
3 years ago
Find x, y, and z:<br><br><br><br> x = <br><br> y = <br><br> z =
Ivanshal [37]

Answer:

x=81 degrees

y=132 degrees

z=60 degrees

5 0
3 years ago
Read 2 more answers
02:42:33
jeyben [28]

Answer:    -10

Step-by-step explanation:

It is -10 because you have to switch the order of operations to get negative.

Hope it helps!

6 0
3 years ago
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