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nadya68 [22]
4 years ago
9

If you shift the linear parent function, f(x) = x, up 6 units, what is the equation of the new function?

Mathematics
1 answer:
Annette [7]4 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1. You have the following parent function given in the problem above: f(x)=x

2. If you want to shift this parent function up six units, you only have the add a 6, then, you will obtain the following new function:

g(x)=x+6

Therefore, as you can see, the answer is: g(x)=x+6

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If h(z)=13z2–30z+27, use synthetic division to find h(3).
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Answer:

h=13z-30+ 27/z

Step-by-step explanation:

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3 years ago
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The length of a rectangle is 2 units more than the width. The area of the rectangle is 63 units. What is the length, in units, o
Keith_Richards [23]

Answer:

Length = 9units

Width = 7units

Step-by-step explanation:

It is said that the length is 2units more than the width

Assume that the width is x, then the length will be 2 + x

ie

Width = x

Length = 2 + x

Area of the rectangle = 63units

Area of rectangle = l * b

l - length of the rectangle

b - width of the rectangle

A = l * b

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63 = ( 2 + x) x

63 = 2x + x^2

Let's rearrange it

x^2 + 2x - 63 = 0

Let's find the factor of 63

A factor that can be multiplied to give -63 and that can be added to give +2

Let's use -7 and +9

x^2 - 7x + 9x - 63 = 0

Separate with brackets

( x^2 - 7x) + ( 9x - 63) = 0

x( x - 7) + 9(x - 7) = 0

( x + 9)(x - 7) = 0

( x + 9) = 0

( x - 7) = 0

x + 9 = 0

x = -9

x - 7 = 0

x = 7

Note: the length of a rectangle can not be negative

So therefore,

x = 7

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= 2 + 7

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7 0
3 years ago
You want to wire a square piece of land that has an area of ​​196 square meters. How many meters of wire is needed to fence the
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Answer:

Step-by-step explanatio

We look for the side

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L = √196 m²

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Once the value of the side of the land is obtained, we proceed to determine the perimeter of the land, which will give us the size of the wire to fence

P = L + L + L + L

P = 14m + 14m + 14m + 14m

P = 56 m (this is the dimension of the wire for one turn of the ground)

They ask us for 5 laps.

56m * 5 = 280m

it takes 280 m

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Answer:

The answer is 11 and 12

Step-by-step explanation:

you just find perfect squares

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