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3 years ago

1) f(x) = 2|x-4| + 3 a = h = K= Vertex = ( , )

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer:

See below

Step-by-step explanation:

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

f(x) = 2(x-4)^ 2 +3 ? correct me If incorrect

a h k

a= 2

h = 4

k = 3

vertex = (h, k)

vertex= (4,3)

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Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A

Snezhnost [94]

Answer:

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be $Ax^2$ .

It is given that area of a rectangular floor of your house is $Ax^2+5x-2$ and the length is $(x+2)$ units.

We know that, area of a rectangle is

$Area=length\times width$

Since length of the rectangle is $(x+2)$ , therefore $(x+2)$ is a factor of $Ax^2+5x-2$ and the value of $Ax^2+5x-2$ is 0 at x=-2.

$A(-2)^2+5(-2)-2=0$

$4A-10-2=0$

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Therefore, the value of A is 4.

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3 years ago

In 12 hours, how many more kilometers could the yellow car go than the red car? show your work

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Answer:

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Step-by-step explanation:

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3 years ago

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nikitadnepr [17]

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3 years ago

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Find the domain and range

victus00 [196]

Answer:

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Step-by-step explanation:

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3 years ago

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VashaNatasha [74]

Let cost of 1 box of red pen = x

Let cost of 1 box of black pen = y

Gaga bought 5 red box and her sister 4 black box then total cost is given by

5x+4y

Given that total cost was $44

so equation will be 5x+4y=44...(i)

After exchange

Gaga= 4 red box + 1 Black box

Sister = 1 red box + 3 Black box

then cost for Gaga = 4x+1y

cost for sister = 1x+3y

Given that cost for both after exchange is same so we get

4x+1y = 1x+3y

or 4x-1x = 3y-1y

or 3x = 2y

or 3x/2=y ...(ii)

plug (ii) into (i)

5x+4y=44

5x+4(3x/2)=44

5x+12x/2=44

5x+6x=44

11x=44

x=4

Now plug value of x into (ii)

y=3x/2=3*4/2=12/2=6

Hence cost of 1 box of red pen = $4

And cost of 1 box of black pen = $6

---

If you want to get solution without solving both equations then just graph both equations and find the intersection point.

You will see that graph intersect at (4,6) which gives x=4, y=6

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3 years ago