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Svet_ta [14]
3 years ago
5

What are the key features for a linear function, and how can

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0
All linear functions are in the form
y = mx + b.

m = slope

b = y-intercept

If you know the slope, which means rise divided by run and the y-intercept which is a constant, you can graph any linear function. A linear function is a STRAIGHT LINE. The word linear means STRAIGHT LINE.
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If a =(9,18) and b=(1,12) what is the length of ab
cupoosta [38]

Answer:

AB = 10

Step-by-step explanation:

Use the distance formula: √(12 - 18)^2 + (1 - 9)^2

√36 + 64

10

7 0
3 years ago
Sean asked 10 of his classmates the amount of their weekly allowance. He recorded the information in this table. $15 $15 $22 $14
Anarel [89]

The interquartile range = Third quartile - First quartile = 22 - 15 = 7

The range = 25 - 12 = 13

<h3>What is the Interquartile Range (IQR) and Range ofa Data?</h3>

Range = largest data value - the least data value

Interquartile range = Q3 - Q1

Given the following weekly allowance of Sean's classmates as, 15, 15, 22, 14, 12, 24, 16, 25, 15, 15:

Third quartile (Q3) = 22

First quartile (Q1) = 15

Interquartile range = 22 - 15 = 7

Range = 25 - 12 = 13

Learn more about trhe interquartile range on:

brainly.com/question/4102829

#SPJ1

8 0
2 years ago
Apply the distributive property to create an equivalent expression.
ira [324]

Answer:

12e - 6f -8

Step-by-step explanation:

(6e−3f−4)⋅2

Multiply the 2 by each term inside the parentheses

2*6e -2*3f -4*2

12e - 6f -8

4 0
3 years ago
4.63 repeated in simplest form ( please reply quickly)
Natasha_Volkova [10]

Answer:

<u>4.63 as simplified fraction is</u>

<u>463/100</u>

Step-by-step explanation:

<em>4.63 as a fraction in simplest form</em>

<em>To convert 4.63 to fraction, follow these steps:</em>

<em />

<em>First write down the decimal number divided by 1 like this:</em>

<em />

<em>4.63/1</em>

<em />

<em>As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator</em>

<em />

<u><em>4.63 × 100</em></u>

<em>    1 × 100</em>

<em> = </em>

<em>463/100</em>

<em />

<em>As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:</em>

<em />

<em>4 63/100</em>

4 0
4 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
4 years ago
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