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3 years ago

What is the equation of the axis of symmetry for the parabola y=1/2(x-3)^2+5

Mathematics

1 answer:

Rus_ich [418]3 years ago

5 0

The general vertex form equation of the parabola is

$y=a(x-h)^2+k$

The Axis of Symmetry is given by

x=h

For the given equation the Equation of the Axis of symmetry for the parabola y=1/2(x-3)^2+5 as x=3.

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Goshia [24]

Answer:

Step-by-step explanation:

$2x + 7 - 1 = 2x + 7$

$= > 2x - 1 = 2x + 7 - 7$

$= > 2x - 1 = 2x$

$= > - 1 = 2x - 2x$

$= > x = - 1$

7 0

3 years ago

What is the percent for .3?

STatiana [176]

There are 2 ways to turn a number into a percent...

(1) move the decimal 2 spaces to the right....0.3 = 30%
(2) multiply by 100....0.3 x 100 = 30%

8 0

3 years ago

Read 2 more answers

A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range

maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, $\hat p$ .

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 150

$\hat p$ = 0.68

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)$

Thus, the reasonable range for the population mean is (61%, 75%).

5 0

3 years ago

Solve for b:<br>10abc - 2d = 3d

gulaghasi [49]

Answer:

b = d/(2ac)

Step-by-step explanation:

10abc - 2d = 3d

Add 2d to each side

10abc - 2d+2d = 3d+2d

10 abc = 5d

Divide each side by 10ac

10 abc/ (10ac) = 5d/10ac

b = d/(2ac)

3 0

3 years ago

Korvikt [17]

Step-by-step explanation:

As you have done till

3p + 8 = 20

3p = 20 - 8

3p = 12

p = 12 / 3 = 4

5 0

3 years ago