The answer is -11/2, 9/2
Explanation
You have to rewrite the absolute value equation as two separate equations.
2x+1=10
2x+1=-10
Then you solve for X in each equation.
2x+1=10 would give you 9/2
2x+1=-10 would give you -11/2
So your final solutions would be x1= -11/2 x2= 9/2
Answer:
<em>5x² + 10x + 2 </em>
Step-by-step explanation:
g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = <em>5x² + 10x + 2</em>
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>
The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:


Given that:
Sample size (n) = 6965
Sample proportion 
The test statistics for this data can be computed as:



z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
brainly.com/question/15980493
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Answer:
B and D
Step-by-step explanation:
Write as a quadratic
-2x² - 3x + 5 = 0
Factor
-2x² - 5x + 2x + 5 = 0
-x(2x + 5) + 1(2x + 5) = 0
(1 - x)(2x + 5) = 0
To make the equation 0, x is either 1 or -5/2.