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galina1969 [7]
3 years ago
8

What is the U-shaped graph of a quadratic function called

Mathematics
1 answer:
9966 [12]3 years ago
7 0
I think it's called PARABOLA
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Find the value of x. Round your answer to the nearest tenth.<br><br> sin 46(degrees)=x/14
Lostsunrise [7]
sin 46^{o} = \frac{x}{14}  \\ x=14sin 46^{o} \\ =14 \times 0.7193 \\ =10.1
6 0
3 years ago
Read 2 more answers
Solve |2x + 1| = 10<br> {9/2, 11/2}<br> {-9/2, 9/2}<br> {-11/2, 9/2}
prisoha [69]
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
6 0
3 years ago
The function g is defined as g(x)=5x² – 3.<br> Find g(x+1).
maksim [4K]

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>

8 0
3 years ago
In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
vladimir1956 [14]

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:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

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

#SPJ1

3 0
2 years ago
(Apex!) Select the two values of x that are roots of this equation 3x-5=-2x^2
katovenus [111]

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.

4 0
3 years ago
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