8) Match the graph with the correct set of equations for the linear system.

Mathematics

1 answer:

choli [55]2 years ago

3 0

The system of equations is consistent and dependent.

The system of equations is given as:

Equation 1: $3x - 3y =6$
Equation 2: $-x + y = -2$ .

<h3>The Graph</h3>

Start by plotting the graph of both equations (see attachment)

From the attached graph, we can see that both equations are represented on a single line.

This means that, the system of equations is consistent and dependent.

This is so because, the system of equations have infinite many solutions.

Read more about system of equations at:

brainly.com/question/14323743

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Find the volume of the prism.

Sergio039 [100]

Answer: 120 units3

Explanation: When finding the base of a prism, you must always multiply the side with the right angle. So basically, 5 is ignored because it does not have a right angle.

1st step: 3*4=12

2nd step: 12/2=6 (because the tringle which is the base is half a square)

3rd step: 6*20=120

The ending is unit 3 because it is volume. Area is unit 2 and we don't know if the prism is in cm so it is not A, or B, and D is the incorrect answer.

In conclusion:

120 units 3

Hope this helped!

Alin

3 0

3 years ago

Find the volume of the composite figure to the nearest whole number. The cylinder in the middle of the prism is hollow and shoul

lisov135 [29]

The formula for the volume of a cylinder is V=Bh or V=πr2h

5 0

3 years ago

Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. E

babymother [125]

1. You have the following information:
<span>
- Maria has 8 1/2 quarts of soil.
- Each pot requires 3/4 quart of soil.
</span>
2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below:

8 1/2=8.5 quarts
3/4=0.75 quarts

3. Therefore, you have:

1 pot-----0.75 quarts
x-----8.5 quarts

x=(8.5x1)/0.75
x=11 pots
<span>
For how many pots does Maria have enough soil?
</span>
The answer is: 11 pots

8 0

3 years ago

Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.

Leya [2.2K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}$

$\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$