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Which equation is y = –6x2 3x 2 rewritten in vertex form? y = negative 6 (x minus 1) squared 8 y = negative 6 (x one-fourth) squ

AVprozaik [17]

The vertex form of the given equation, y = -6x² + 3x + 2, is expressed as: y = -6(x - 0.25)² + 2.375.

<h3>What is an Equation in Vertex Form?</h3>

The vertex form of an equation is expressed as, y = a(x - h)² + k, where:

(h, k) = vertex of the parabola.

Given the equation, y = -6x² + 3x + 2, factor the equation:

y = -6(x² - 0.5x) + 2

y = -6(x² - 0.5 + 0.0625) + 2.375

Rewriting the equation as perfect squares, we would have:

y = -6(x - 0.25)² + 2.375

The vertex form of y = -6x² + 3x + 2 is, y = -6(x - 0.25)² + 2.375.

Learn more about vertex form of an equation on:

brainly.com/question/13912185

7 0

3 years ago

Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s co

cestrela7 [59]

Answer:

A = 200.96 sq ft

Step-by-step explanation:

formula for area of a circle: A = π·r²

A = (3.14)·(8²)

A = 64·(3.14)

A = 200.96

7 0

3 years ago

What is 4.22 x 10^17 seconds

Allushta [10]

We can rewrite the given time as:

7.03x10^15 mins
1.17x10^14 hours.
4.88x10^12 days.

<h3>What is 4.22x10^17 seconds in minutes and hours?</h3>

First, remember that:

60s = 1 min

Then to write that amount in minutes, we just need to divide by 60, so we get:

(4.22x10^17)/60 mins= 7.03x10^15 mins

Now, remember that:

1 hour = 3600s

Then to get the time in hours, we need to divide by 3600:

(4.22x10^17)/3600 h = 1.17x10^14 hours.

Similarly, you can change to any time unit that you want, for example:

1 day = 24*3600 s

Then the time in days is:

(4.22x10^17)/(24*3600) days = 4.88x10^12 days.

And so on.

If you want to learn more about changes of units:

brainly.com/question/9032119

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8 0

1 year ago

-7h+3(4-6h)=127 is h= 25?

GREYUIT [131]

Answer:

No, h = (-23)/5

Step-by-step explanation:

Solve for h:

3 (4 - 6 h) - 7 h = 127

3 (4 - 6 h) = 12 - 18 h:

12 - 18 h - 7 h = 127

-18 h - 7 h = -25 h:

-25 h + 12 = 127

Subtract 12 from both sides:

(12 - 12) - 25 h = 127 - 12

12 - 12 = 0:

-25 h = 127 - 12

127 - 12 = 115:

-25 h = 115

Divide both sides of -25 h = 115 by -25:

(-25 h)/(-25) = 115/(-25)

(-25)/(-25) = 1:

h = 115/(-25)

The gcd of 115 and -25 is 5, so 115/(-25) = (5×23)/(5 (-5)) = 5/5×23/(-5) = 23/(-5):

h = 23/(-5)

Multiply numerator and denominator of 23/(-5) by -1:

Answer: h = (-23)/5

4 0

3 years ago

If a hurricane was headed your way, would you evacuate? The headline of a press release issued January 21, 2009 by the survey re

Nikolay [14]

Answer:

The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].

Step-by-step explanation:

The sample drawn is of size, <em>n</em> = 5046.

As the sample size is large, i.e. <em>n</em> > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean $\hat p$ and standard deviation $\sqrt{\frac{\hat p (1-\hat p)}{n} }$ .

The mean is: $\hat p=0.31$

The confidence level (CL) = 98%

The confidence interval for single proportion is:

$CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]$

Here $z_{(\alpha /2)}$ = critical value and <em>α </em>= significance level.

Compute the value of <em>α</em> as follows:

$\alpha =1-CL\\=1-0.98\\=0.02$

For <em>α</em> = 0.02 the critical value can be computed from the <em>z</em> table.

Then the value of $z_{(\alpha /2)}$ is ± 2.33.

The 98% confidence interval for population proportion is:

$CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]\\=[0.31-2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} },\ 0.31+2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} } ]\\=[0.31-0.0152,\ 0.31+0.0152]\\=[0.2948,0.3252]\\\approx[0.30,\ 0.33]$

Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.

7 0

3 years ago