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Alja [10]
3 years ago
11

If f(x) = 3x-1 and g(x)= x+2 find (f-g)(x)​

Mathematics
1 answer:
wariber [46]3 years ago
7 0

Answer:

2x-3

Step-by-step explanation:

f(x) = 3x-1

g(x) = x+2

Find (f-g)(x), this means we need to subtract g from x.

(3x-1) - (x+2)

Subtract the like terms:

3x -x = 2x

-1 -2 = -3

Combine them to get 2x-3

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2 years ago
Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today
Hunter-Best [27]

Answer:

Area = 27.5

Step-by-step explanation:

Given

J_{Area} = 440

J_{Width} = 22

K_{Width} = 5.5

<em>See attachment</em>

Required

Determine the area of K

First, we need to calculate the length of the rectangle  J

J_{Length} * J_{Width} = J_{Area}

This gives:

J_{Length} * 22 = 440

Divide both sides by 22

\frac{J_{Length} * 22}{22} = \frac{440}{22}

J_{Length} = 20

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

J_{Length} : J_{Width} = K_{Length} : `K_{Width}

Substitute the known values:

20 : 22 = K_{Length} : `5.5

Express as fraction:

\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}

Make Length, the subject of formula

K_{Length} = \frac{5.5 * 20}{22}

K_{Length} = \frac{110}{22}

K_{Length} = 5

The area of K is:

Area = K_{Length} * K_{Width

Area = 5.5 * 5

Area = 27.5

4 0
2 years ago
Need help: write the expression in a complete factored form: x²-9x+xy-9y
Galina-37 [17]
Factor this by grouping.  Group the first two terms together and then the second 2 terms together.  The idea here is that, after grouping, what you can pull out in both groups is the same.  Like this:
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Now work on finding a common thing between the 2 groups:
x(x-9)+y(x-9)
See, what you have in common there now is the (x-9) that you can factor out:
(x-9)(x+y)
And that is factored completely.
4 0
3 years ago
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