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notsponge [240]
2 years ago
13

Which system of equations has the solution (4,−2)?

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

2x - y = 10

We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

3x = 12

x = 12/3

x = 4

Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.

4 + y = 2

y = 2 - 4

y = - 2

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What is the solution to the equation 1^6 x = 2 ?
Dvinal [7]

1^6 is just 1 so 1x=2, you can just take away the one because it is a given that if there is an x there is a 1, so the answer is x=2

6 0
3 years ago
Nvm bro i got the answer
KIM [24]
Ok and have a nice day
6 0
2 years ago
Rita bought 4 rulers for $4.00. If r represents the number of rulers purchased, which equation represents this situation?
Wittaler [7]

Answer: 4r = 4

Step-by-step explanation:

Ruth bought 4 rulers and each ruler is to be represented by r. She therefore bought:

= 4r

She bought these for a total of $4.00 so the equation then becomes:

4r = 4.00

Equation representing situation is: 4r = 4

8 0
2 years ago
I need algebra help.....
Lubov Fominskaja [6]

Answer:

y=4(3)^x

Step-by-step explanation:

From the table given in the question,

x            y              Difference                  Ratio

1            12                     -                             -

2           36              36-12 = 24              \frac{36}{12}=3

3          108            108-36 = 72             \frac{108}{36}=3

4          324            324-108 = 216        \frac{324}{108}=3

5          972            972-324 = 648      \frac{648}{216}=3

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

y=a(b)^x

For a point (1, 12),

12=a(b)^1

ab=12 ------(1)

For another point of the table (2,36),

36=a(b)^2

ab^2=36 --------(2)

Equation (2) divided by equation (1)

\frac{ab^2}{ab}=\frac{36}{12}

b=3

From equation (1),

3a=12

a=4

Therefore, exponential function will be,

y=4(3)^x

7 0
3 years ago
What are the coordinates of the vertex of y=x²+4x+3?​
Travka [436]

Answer:

(-2, -1).

Step-by-step explanation:

y = x² + 4x + 3

Completing the square:

y = (x + 4/2)^2 - (4/2)^2 + 3

y = (x + 2)^2 - 4 + 3

y = (x + 2)^2 - 1.

This is vertex form and the coordinates of the vertex are (-2, -1).

4 0
3 years ago
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