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Inessa05 [86]
3 years ago
12

Solve the system using substitution and describe your steps. x=y-3 2x+y=12

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0
First you plug in for x,

2(y-3)+y=12

Then you solve for y
2y-5+y=12
-10y+y=12
-9y=12
-9y/9=12/-9
y=-1.333333333333333333333333333333333333333333333333333333333

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Evaluate: -1 2/5 ÷ 14/15
Sergio [31]

Answer:

Step-by-step explanation: Turn the mixed number into an improper fraction. -1 2/5 becomes -7/5.  To divide fractions, you keep the first fraction, change the division sign to mulitplication and flip the second fraction.  Then just multiply across the top and across the bottom. You will get 105/70.  Reduce by dividing both numerator and denomination by 35   Result will be 3/2.

3 0
3 years ago
What is the value of 10x+1 3
Veseljchak [2.6K]

SOLUTION

In this question, we are meant to expand the expression:

(10x+1)^{3\text{ }}\text{ = ( 10 x + 1 ) (10 x + 1 ) ( 10 x + 1 )}\begin{gathered} (10x+1)(10x+1)=100^{}x^2\text{ + 20 x + 1} \\ \text{Then,} \\ (100x^2+20x+1)(10x+1)=1000x^{3\text{ }}+200x^2+10x+100x^2\text{ + 20 x + 1} \\ \text{ = 1000 x}^{3\text{ }}\text{ + }300x^2\text{ + 30 x + 1} \\  \\ \text{CONCLUSION: ( 10 x + 1 )}^{3\text{ }}=1000x^{3\text{ }}+300x^2\text{ + 30 x +1} \end{gathered}

7 0
1 year ago
If an ant runs randomly through an enclosed
liraira [26]
The area of a circle is π (radius²)

The area of the outer (2-ft) circle is π (2²) = 4 π square feet.

The area of the inner (1-ft) circle is π (1²) = 1 π square feet.

The inner circle covers 1/4 of the area of the outer circle.

So if the ant wanders around totally aimlessly and randomly, and there's no way to
know where he came from, where he is now, or where he's going next, and there's
an equal chance of him being <em><u>anywhere in the big circle</u></em> at any time, then there's a
<u>25% chance</u> of him being inside the small circle at any time, because 1/4 of the
total area is in there.

That's choice c).

4 0
3 years ago
Help pls 25 points don’t answer if you do not know
-Dominant- [34]

Answer:

i believe it’s graph A

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the change in y- values for every two units of x-values?
schepotkina [342]

Answer:

The graph of y\:=\:\frac{1}{2}x  is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.

Step-by-step explanation:

When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.

And the vertically change between two values is also called the rise.

The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.

For example, consider the equation

y\:=\:\frac{1}{2}x

\mathrm{Slope\:of\:}\frac{1}{2}x:\quad m=\frac{1}{2}

Here fore every two units of x-values, one units are moved on the y-axis.

In other words, there is a change of only one unit on the y-axis for every two units of x-values.

The graph of y\:=\:\frac{1}{2}x  is also attached below which is showing this.

5 0
3 years ago
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