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kramer
3 years ago
11

Express f (x) = |x-5| as a piecewise defined function

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0
If x>5......f(x)= x-5
if x <5......f (x)= -x+5
You might be interested in
Simplify the following expression
Kay [80]

Answer:

\frac{98p^{6}}{q}

Step-by-step explanation:

Distribute the exponents

(\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}

(\frac{q}{98p^{6}} )^{-1}

Distribute the -1

\frac{98p^{6}}{q}

6 0
3 years ago
Can someone please help me​
4vir4ik [10]

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

\frac{80-20}{40-10}  = \frac{60}{30}  = 2

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

3 0
2 years ago
Sara is multiplying two factors,one with one decimal place and one with two decimal places.She says that the product could have
Ray Of Light [21]
She is incorrect, the product will have 3 decimal places.
8 0
3 years ago
Find the domain of the funtion 4/x-7
dedylja [7]
Domain means which values the function can have which make it true or Possible to solve

So all you got to do is set the denominator = to 0 and solve for x
You will get x=7

4/(7-7) is not possible

So x cannot equal to 7 because you cant divide a number by 0!
5 0
3 years ago
The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the pe
Nadya [2.5K]

The expression for the area of the rectangular swimming pool is given as follows:

A = w² + 100w + 2100.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:

A = lw.

In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:

  • l = 30 + w.
  • wi = 70 + w.

Hence the area is given as follows:

A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.

More can be learned about the area of a rectangle at brainly.com/question/10489198

#SPJ1

4 0
2 years ago
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