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FromTheMoon [43]
3 years ago
15

What is the vertex of the function f(x) = 12 + 3x + ?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

(2,1)

Explanation: f(x)=3x^(2)-12x+13

a=3

h=2

k=1

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How many groups of 10 are there in 230?​
Ivan

Answer:

23

Step-by-step explanation:

230/10=23

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3 years ago
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If h(-8), find 1/3*h(x) = x^2-5x+7
Lynna [10]

The value is 333

<h3>How to determine the function</h3>

From the information given, we have:

  • x = - 8
  • 1/3*h(x) = x^2-5x+7

Now, let's substitute the value of 'x' in the function:

1/3*h(x) = x^2-5x+7

1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7

Make 'h ( -8)' the subject of formula

h ( -8) = \frac{( -8)^2 - 5(-8) + 7}{1/ 3}

h ( -8) = \frac{64 + 40+ 7 }{1/ 3}

Take the sum of the numerator

h ( -8) = \frac{111}{1/3}

Take the inverse of the denominator and multiply

h ( -8) = 111 × 3/ 1

h ( -8) = 333

We can see that through the substitute of the value of x as - 8, we get 333

Thus, the value is 333

Learn more about algebraic expressions here:

brainly.com/question/723406

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7 0
2 years ago
Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau
Nana76 [90]

Answer:

P(52

And we can find this probability with this difference:

P(-0.851

And if we use the normal standard distribution or excel we got:

P(-0.851

Step-by-step explanation:

Let X the random variable that represent the time required to construct and test a particular component of a population, and for this case we know the distribution for X is given by:

X \sim N(60,9.4)  

Where \mu=60 and \sigma=9.4

We want to find this probability:

P(52

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(52

And we can find this probability with this difference:

P(-0.851

And if we use the normal standard distribution or excel we got:

P(-0.851

5 0
3 years ago
Solve the following system of equations by substitution and select the correct answer below:
Alexxx [7]
Okay so for substitution, chose one of  of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
 2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
 x=4y+16.

Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)

Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
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Now, multiply the 6 with the 4y and 16. you would then have:
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Now, combine your like terms to get:
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Then subtract 96 to both sides:
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Then divide both sides so that you have y all by itself:
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You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16: 
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Solve for x:
x-120=60 
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180

I hope this helped:)


5 0
4 years ago
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How to multiply by tens 60×20
Amanda [17]
The awnser to 60 x 20 is: 120
3 0
3 years ago
Read 2 more answers
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