A container holds 16 quarts of juice. How much is this in gallons?

Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.

8 0

2 years ago

NEED HELP ASSAP 100 POINTS WILLL GIVE BRAINLIEST1Give me an example of how supply or demand affects price in the real world. 2Ho

Vanyuwa [196]

Answer to question 1:

When supply of a product goes up, the price of a product goes down and demand for the product can rise because it costs loss.

Answer to question 2:

Commercial banks play an important role in the financial system and the economy. ... They provide specialized financial services, which reduce the cost of obtaining information

Answer to question 3:

Government regulation affects the financial services industry in many ways, but the specific impact depends on the nature of the regulation. Increased regulation means a higher workload for people in financial services.

Answer to question 5:

Adam Smith because he was a Scottish economist, philosopher and author as well as a moral philosopher, a pioneer of political economy and a key figure during the Scottish Enlightenment, also known as ''The Father of Economics''.

7 0

3 years ago

3(x +2)-9x+5<br> What is the answer

Alika [10]

Answer:

-6x+11

Step-by-step explanation:

8 0

3 years ago

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Alma is finding the measures of the angles in a triangle that have the ratio 1:3:5. circle her mistake and correct it

PolarNik [594]

Answer:

error in summing terms in x

Step-by-step explanation:

x + 3x + 5x = 180 ( collect like terms on left )

9x = 180 ← ( 9x not 8x )

divide both sides by 9

x = 20

3 0

3 years ago

If the shop has 350 fish available for sale, how many of them are goldfish?

Lina20 [59]

Answer:

105

Step-by-step explanation:

multiply 350 by .30(30%) and that will tell you how many goldfish there are

3 0

3 years ago

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