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jeka94
3 years ago
13

2x^2-50=x^2-1 solve by factoring step by step please

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

x = -7, 7

Step-by-step explanation:

  • 2x²-50 = x² -1
  • 2x²-x²-50+1 = 0
  • x²-49 = 0
  • (x+7)(x-7)
  • x = -7, 7
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Determine the number of real solutions of -2x^2+5x-3=0
Tema [17]

Answer:

Two distinct real solutions.

Step-by-step explanation:

Given the equation in the form ax^2+bx+c=0, you need to find the Discriminant with this formula:

D=b^2-4ac

For the equation -2x^2+5x-3=0 you can identify that:

a=-2\\b=5\\c=-3

Then, substituting these values into the formula, you get that the Discriminant is:

D=5^2-4(-2)(-3)

D=1

 Since D>0, then -2x^2+5x-3=0 has two distinct real solutions.

8 0
3 years ago
When are conclusions said to be​ statistically significant?
mars1129 [50]

Answer:

If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis.

Step-by-step explanation:

Suppose you have a business in which you'd like to make a change to increase your business. After making the change, you can use a significance test it. To conduct a significance test, you make a null hypothesis which states essentially that no effect happened. You also make an alternative hypothesis that states the change had an effect. You then test the two to see which one stands. In a significance test, using the p-value from your sample you compare it to the null and alternative hypotheses. You make a conclusion when:

  • If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis since the evidence is in favor of it.

If the p-value is greater than the significance level, then you fail to reject the null hypothesis and cannot conclude. There isn't evidence in favor of the alternative hypothesis.

8 0
3 years ago
A large jar contains 1230 coins. The result of 50 coins pulled at random from the jar is given below. • 18 nickels • 12 dimes •
Ugo [173]

Answer:

The expected value of quarters is $47.20

Step-by-step explanation:

18+12+20=50

1230-50=1180

1180÷25=47.2

5 0
3 years ago
Y=|x−5|+|x+5|, if x>5
Sidana [21]

Hello,

Let me try out the solution for you.

Consider the below scenarios for the equation y = |x+5|-|x-5|

Case 1:

when x more than or equal to 5

then y=(x+5)-(x-5) = 10

hence y=10

Case 2:

when -5<x<5

y=(x+5)-(-(x-5)) = 2x

y=2x so y can take 9 values corresponding to x={-4,-3,-2,-1,0,1,2,3,4}

Case 3:

when x less than or equal to -5

y= -(x+5)-(-(x-5))

y=-10

Hence if we combine all 3 cases we get that y can take total of 11 values.

5 0
3 years ago
Read 2 more answers
Write in Standard Form, slope is −5 and (8, 9) is on the line
Korvikt [17]

Answer:

my bad

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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