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3 years ago

Algebra 2 ————— y = -2(x - 3)^2 + 4 Factor and Solve.

Mathematics

1 answer:

ozzi3 years ago

4 0

Y=-2*(x-3)(x-3)+4
y=-2*(x^2-6x+9)+4
y=-2x^2+12x-18+4
y= -2x^2 + 12x -14

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The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwi

Elan Coil [88]

Answer:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

Step-by-step explanation:

For this case we have the following info given:

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We define the random variable $D = before-after$ and we can calculate the inidividual values:

D: 10, -5, 25, -2

And we can calculate the mean with this formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

And the deviation with:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}$

And after replace we got:

$\bar D= 7, s_d = 13.638$

And the confidence interval for this case would be given by:

$\bar D \pm t_{\alpha/2} \frac{s_d}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1= 4-1=3$

For the 95% of confidence the value for the significance is $\alpha=0.05$ and the critical value would be $t_{\alpha/2}= 3.182$ . And replacing we got:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

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3 years ago

If T(n)= 3n-1 what is the third term

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3 years ago

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Answer:

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Answer:

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Step-by-step explanation:

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2 years ago

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Evaluate x/y when x=9/4 and y=3/5

lana66690 [7]

Answer:

$\displaystyle x/y=\frac{15}{4}$

Step-by-step explanation:

<u>Division of fractions</u>

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

$\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}$

We will evaluate x/y when x=9/4 and y=3/5:

$\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}$

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Simplifying:

$\displaystyle \boxed{x/y=\frac{15}{4}}$

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3 years ago