3 years ago

Geometry. Unit 1. Lesson 5. (5.2: Make it Right) Use GeoGebra

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:nnjjj

Step-by-step explanation:

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

$y = - 3 {x}^{2} + 48x - 195$

We factor -3 from the first two terms to get:

$y = - 3( {x}^{2} - 16x) - 195$

Add and subtract the square of half the coefficient of x

$y = - 3( {x}^{2} - 16x + 64) + 3 \times 64- 195$

$y = - 3 {(x - 8)}^{2} + 192 - 195$

We simplify to get:

$y = - 3 {(x - 8)}^{2} - 3$

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

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3 years ago

Mrs. Chauvet has an unfair number cube that lands with 6 facing up 40% of the time. Let X = the number of times that she rolls a

goldfiish [28.3K]

Answer:

P(X<1) = .216 P(X</=1) = .648

Step-by-step explanation:

its right

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2 years ago

.222222222 as a fraction Please help

statuscvo [17]

Answer:

222222222/1000000000

Step-by-step explanation:

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3 years ago

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List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

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3 years ago

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT c

grigory [225]

The probability that you will NOT choose a blue marble is 28/45.
45 because there are 45 marbles in total 12+11+17+5=45
And then 28 because you add all the marbles that are NOT blue 12+11+5=28

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3 years ago