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2 years ago

TEST DUE IN 8 MIN PLZ HELP

Mathematics

2 answers:

Gemiola [76]2 years ago

7 0

Answer:

What is the question ?

Step-by-step explanation:

taurus [48]2 years ago

6 0

Answer: whats the question

Step-by-step explanation:

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Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

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

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

2 years ago

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Pls help this is an ixl question and it really is hard

valentina_108 [34]

Answer:

It would be the first one... 10:25

Step-by-step explanation:

10/4=2.5

2.5*10=25

2.5*4=10

7 0

2 years ago

En la gráfica se observa la estatura de los jugadores de un equipo de baloncesto. Los jugadores que más tiempo duran en el parti

Butoxors [25]

Answer:

What

Step-by-step explanation:

What language

Is that

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2 years ago

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an are

LekaFEV [45]

Answer:

The total volume of the pieces of fruit in the can is $640\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can is equal to

$V=BH$

where

B is the area of the base of the can

H is the height of the can

we have

$B=75\ cm^{2}$

$H=10\ cm$

substitute

$V=(75)(10)=750\ cm^{3}$

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract the volume of syrup from the volume of the can

$750\ cm^{3}-110\ cm^{3}=640\ cm^{3}$

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2 years ago

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Use the GCF (Greatest common factor) to factor the expression 3.02<br> + 8x

IceJOKER [234]

Answer:

Step-by-step explanation:

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2 years ago