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raketka [301]
3 years ago
5

PLS HELP! GIVING BRAINLIST!

Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

y = x - 2

y = 3x + 4

Important Tip:

  • In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}

Subtract the equations

y-3x=4

-

\underline{y-x=-2}

-2x=6

Now, solve -2x = 6 for x

-2x=6

Divide both sides by -2

\frac{-2x}{-2}=\frac{6}{-2}

Simplify

x=-3

For y - x = -2 plug in x = -3

y-\left(-3\right)=-2

y+3=-2

Subtract 3 from both sides

y+3-3=-2-3

Simplify

y=-5

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

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3 years ago
The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States
marta [7]

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

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4 0
3 years ago
Can someone answer this question please?
Leni [432]

Answer:

b\leq-28/9

Step-by-step explanation:

5+9b\leq-23

5+9b=-23

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4 0
3 years ago
30 pts for this one.... (only if you give a reasonable answer no BS)
Keith_Richards [23]

Answer:

  1. y = 3000x + 40000
  2. a) the base salary of the salesperson
  3. a) the commission per subscription

Step-by-step explanation:

Slope intercept form is found by [ y = mx + b ] where m = slope and b = y-intercept. We are given that a salesperson gets $40000 as a base salary. Since this value doesn't change it is the starting value, in other words the y-intercept. The salesperson also gets $3000 for every subscription they sell. Since this amount grows at a constant rate, that is the slope. Now, we can write the slope intercept form of [ y = 3000x + 40000 ].

Best of Luck!

6 0
3 years ago
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