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3 years ago

Y = 2(x – 3)2 - 4 Convert to standard form

Mathematics

2 answers:

Klio2033 [76]3 years ago

8 0

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

= 2(x² - 6x + 9) - 4 ← distribute parenthesis

= 2x² - 12x + 18 - 4

y = 2x² - 12x + 14 ← in standard form

Artist 52 [7]3 years ago

3 0

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

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80*.65=52
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3 years ago

Last year, Mr. Jones made $30,000. His boss just informed him that he will be receiving at least an 11.2% raise for this year. H

Lady bird [3.3K]

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$33 336

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3 years ago

(a) An angle measures 43°. What is the measure of its supplement

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The answer is 137° because supplementary means the 2 angles must equal 180°

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3 years ago

When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval

Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

$\alpha = 1-99$ %

$=1-0.99$

$=0.01$

then,

$\frac{\alpha}{2} =\frac{0.01}{2}$

$=0.005$

or,

$Z_{\frac{\alpha}{2} }=Z_{0.005}$

$=2.576$

Now,

The point estimate will be:

⇒ $\hat{P}=\frac{x}{n}$

⇒ $=\frac{110}{343}$

⇒ $=0.321$

or,

⇒ $1-\hat{P}=1-0.321$

⇒ $=0.679$

The margin of error will be:

⇒ $E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )$

On substituting the above values, we get

⇒ $=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }$

⇒ $=2.576\times \sqrt{\frac{0.217959}{343} }$

⇒ $=0.065$

hence,

⇒ $\hat{P}-E$

⇒ $0.321-0.065$

⇒ $0.256,0.386$

6 0

3 years ago

A particular brand of gasoline has a density of 0.737 g/ml at 25 ∘c. how many grams of this gasoline would fill a 13.4 gal tank

ruslelena [56]

Given, the density of a particular brand of gasoline = 0.737 g/ml.

13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.

First we will convert 13.4 gallon to ml.

We know that 1 gallon = 3.78541 litre

And 1 litre = 1000 ml

So we can write 1 gallon = $(3.78541)(1000) ml$ = 3785.41 ml.

13.4 gallon = $(3785.41)(13.4)$ ml = 50724.494 ml.

Let's take there is x grams of gasoline

We know that density = (mass/ volume) = $\frac{x}{50724.494}$

So we can write,

$0.737 =\frac{x}{50724.494}$

To find x we will multiply both sides by 50724.494. we will get,

$(0.737)(50724.494) =(\frac{x}{50724.494}) (50724.494)$

$(0.737)(50724.494) = x$

$37383.95 = x$

So we have got the required answer.

Mass of gasoline = 37383.95 grams.

5 0

4 years ago