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3 years ago

The solution set to the inequality y<2x - 4 are shaded on the graph. Which point is a solution

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

Any set of numbers (x, y) for which this inequality is true is a solution.

For example, the point (1, -5) is a solution because fitting it into the inequality gives us

<u>- 5 < - 2</u> which is true.

However, the point (3, 5) wouldn't be a solution because it would give us the inequality

<u>5 < 2</u> which is not true.

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Tina noticed that she had taken notes on 25 pages of her notebook. 95 pages were still blank. Write and solve a subtraction equa

castortr0y [4]

25+95=120 25(notes on)=95(no notes on)=120 total

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3 years ago

How do you multiply decimals?

Ulleksa [173]

I found this online, hope it helps

Just follow these steps:
Multiply normally, ignoring the decimal points.
Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

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3 years ago

If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?

Elan Coil [88]

Answer:

The probability that the sum of the dice is 3, is 3/16.

Step-by-step explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

$A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}$

Total number of possible outcomes = 16

The sum of the dice is 3.

$\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}$

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

$Probabilty=\frac{3}{16}$

Therefore the probability that the sum of the dice is 3, is 3/16.

8 0

3 years ago

Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?

Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

$x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3$

Now that we have the value of x, plug it into either equation to solve for y:

$3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5$

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>

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3 years ago

Find the period of the function

Ostrovityanka [42]

Answer:

6π

Step-by-step explanation:

The period indicates after which time the sine wave repeats.

You divide 2π by the factor in front of your function variable. This is 1/3 for your function.

So 2π/(1/3) = 6π

4 0

3 years ago