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3 years ago

Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

Answer:

(-2, -3)

Step-by-step explanation:

We assume your system of equations is ...

2x - y = -1
2x -4y = 8

You can subtract the second equation from the first to get

... (2x -y) -(2x -4y) = (-1) -(8)

... 3y = -9 . . . . . collect terms

... y = -3 . . . . . . divide by 3 . . . . this is sufficient to identify the correct answer

Substituting into the first equation, we have ...

... 2x -(-3) = -1

... 2x = -4 . . . . . add -3

... x = -2 . . . . . . .divide by 2

Now, we're sure the answer is (x, y) = (-2, -3).

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I have no idea what to do. PLS HELP

Zarrin [17]

Answer:

$\textbf{Option C}\\$

Step-by-step explanation:

$\textup{You have to substitute values of x from the table and see if it satisfies the given condition.}\\\textup{For example in option A, $(-2,-2)$ is the point given.}\\\textup{Substitute $x = -2 $ in $y = -x^2 + 3x $}\\\textup{We get $y = -10 \ne -2$. Eliminate option $A$ and $B$ from this.}\\$

$\textup{Now we will check for $x = 1$ as the values of $y$ differ in options $C$ and $D$.}\\$i.e., $ \textup{For} $x = 1, y = - {1}^2 + 3(1) $\\$\implies y = 2 \ne 4$, \textup{eliminating Option $D$.}\\\textup{Also substitute other values for $x = -1, 0, 2$ and the answer can be verified.}\\\textup{\textbf{Hence, option $C$ will fit this function.}}$

8 0

3 years ago

The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds can be mod

DanielleElmas [232]

The travel of the spring is it’s amplitude, which is a cosine function.

The lowest y value is -5

Multiply that by cosine of pi x time

The formula is d = -5cos(pi t)

3 0

3 years ago

Let event A = the place is a city let B = the place is in North America what is P(A and B)

frozen [14]

Answer:

D. 2/7

Step-by-step explanation:

We assume that the intention is that one of the places is chosen at random from the list of 7 places.

2 of those are cities in North America, so the probability that a place randomly chosen from this list is a city in North America is ...

P(A & B) = 2/7

6 0

3 years ago

Read 2 more answers

In which quadrant is the solution to this system of equations? 2x + 5y = 1<br> 3x - 4y = 13

Reptile [31]

Answer: Quadrant IV

Step-by-step explanation: Pic attached.

I found the x and y using substitution (isolating one variable and plugging it into the other). There was probably an easier way but I couldn't think of it at that moment.

From there, you have the point ( 133/36 , -23/18), or a (+, -).

Find Which quadrant has positive x and negative y.

In this case, this would be Quadrant IV or 4.

Hope this helps! Sorry if too complicated lol.