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3 years ago

Identify the vertex for the graph of y = −3x2 + 6x − 4. (1, 5) (1, −1) (−1, −13) (−1, −9)

2 answers:

5 0

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-3}x^2\stackrel{\stackrel{b}{\downarrow }}{+6}x\stackrel{\stackrel{c}{\downarrow }}{-4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{6}{2(-3)}~~,~~-4-\cfrac{6^2}{4(-3)} \right)\implies \left(1~~,~~-4+\cfrac{36}{12} \right) \\\\\\ (1~~,~~-4+3)\implies (1~,-1)$

Nutka1998 [239]3 years ago

3 0

Answer: (1,-1)

Step-by-step explanation:

Took the test. Got i right

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Abby is half as old as her dad,and twice as old as her brother. If her brother is 9 years old,how old is her dad?

azamat

Well if Abby is twice the age of her bother and her brother is 9 then she is going to be 18 because 9x2=18, then it says that she is half her dads age so all you have to do is add 18+18 which equals 36

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4 years ago

Read 2 more answers

Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

oee [108]

The answer is $\frac{x^{4/3}y^{3}}{3}$ .

The fraction is: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }$
Let's rewrite it: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }$

Since $\frac{x^{a} }{x^{b}} =x^{a-b}$ ,
then:
*** $\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3}$
*** $\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3}$
______
$\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3}$

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3 years ago

Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds an

Sergeu [11.5K]

Answer:

$Mean = 48.6364$

$s^2 = 331.8545$ -- Sample Variance

$s = 18.2169$ --- Sample Standard Deviation

Step-by-step explanation:

Given

$n = 11$

$Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45$

Solving (a): The sample mean

$Mean = \frac{\sum x}{n}$

So:

$Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}$

$Mean = \frac{535}{11}$

$Mean = 48.6364$

Solving (b): Sample variance (s^2)

This is calculated as:

$s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}$

Where:

$\bar x = 48.6364$

So:

$s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}$

$s^2 = \frac{3318.54545456}{10}$

$s^2 = 331.8545$

Solving (c): Sample Standard Deviation (s)

This is calculated as:

$s = \sqrt {s^2$

$s = \sqrt{331.8545$

$s = 18.2169$

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3 years ago

Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the

Usimov [2.4K]

Y=8.25x+10

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3 years ago

What is the answer for this question

Aliun [14]

-1/2 / 3/4 =

The first step is to flip the second fraction and change division to multiplication. Then multiply straight across.

-1/2 x 4/3 = -4/6

In simplified form:
-4/6 = -2/3

8 0

4 years ago