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makkiz [27]
3 years ago
15

Solve the system y= 3x+7 y=2x-3

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:(-10,-23)

Step-by-step explanation:

Okay....the easiest way to answer this would be either elimination or graphing. However, you could also use substitution.

Right now, I'll show how to use it by elimination.

First this is to convert both equations to standard form (x+y=__)

What we'll do for the first one is add 3x to each side. We end up with this:

-3x+y=7

Then subtract 2x from the other one. Ending up with:

-2x+y=-3

Now, we eliminate the y by subtracting.

-3x+y=7

(-) -2x+y=-3

___________

-x =10

x = -10

Now, plug in the x to one of the equations.

y=2(-10)-3

y=-20-3

y=-23

Make sure to check your answer by plugging both into the equations.

X=-10

Y=-23

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The sum of five consecutive multiples of 4 is 20.Find the smallest integer.
Aloiza [94]

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

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3 years ago
When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____
pashok25 [27]

Answer:

B

Step-by-step explanation:

Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.

In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.

The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.

Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.

The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha

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3 years ago
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