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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
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Cheryl collected data for her mathematics project. She noted that the data set was approximately normal. Select the statement th
oksano4ka [1.4K]

Answer:

MEAN WOULD INCREASE

Step-by-step explanation:

THE AVERAGE IS INCREASED

8 0
3 years ago
A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the p
KonstantinChe [14]

Scale drawing takes scaled versions of original lengths. The actual length of the swing set area of the park is 25 ft long and 100 ft wide

<h3>How are scale drawings formed?</h3>

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\rm 1\:  ft : \dfrac{s}{k}\:  in.

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For the given case, it is given that

Real dimension of a rectangular park : 600 ft by 1000 ft

In drawing, it was of 12 inches by 20 inches.

Let the scale that the drawing is using be k feet to s inches, then

\rm 1\:  ft : \dfrac{s}{k}\:  in.

Since it is given that 600 ft : 12 inches and 1000 ft : 20 inches, thus, we get:

\rm 1\:  ft : \dfrac{s}{k}\:  in.\\\\600 \: ft = \dfrac{600\times s}{k} \: in. =  12 \: in.\\\\\dfrac{600 \times s}{k} = 12\\\\\dfrac{s}{k} = \dfrac{12}{600} = 0.02

Thus, every feet is reduced 0.02 times in drawing.

Now,

it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch.

Let its real length was L and real width was W. Then we have:
\rm L \times 0.02 = 0.5 \\\\L = \dfrac{0.5}{0.02} = 25 \:\\\\W \times 0.02 = 2 \\W = \dfrac{2}{0.02} = 100

Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet

Thus,

The actual length of the swing set area of the park is 25 ft long and 100 ft wide

Learn more about scaling here:
brainly.com/question/8765466

6 0
2 years ago
What is the sum of (2x+4)+(-3x+9)
Levart [38]

Answer:

-x + 13

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(2x + 4) + (-3x + 9)

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                    -x + 4 + 9
  2. Combine like terms (Z):                    -x + 13
7 0
3 years ago
Read 2 more answers
The pentagonal prism below has a base area of 38 units? and a height of 7.4 units.
alina1380 [7]

281.2 units³

volume of Prism: Base Area x Height

Here given:

Base Area: 38 units²

Height: 7.4 units

Solve for volume:

38 x 7.4

281.2 units³

5 0
2 years ago
Read 2 more answers
Equivalent fractions for 3/5
Tcecarenko [31]
9/15

6/10

12/20

15/25

18/30

Hope this helps!! :)
7 0
3 years ago
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