Which statement best describes the domain of the function represented in the graph?
which statement best describes the domain of the function represented - 1

Answers

Answer 1
Answer:

The statement that best describes the domain of this function is Option(C).

What is a function?

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

What is the domain of a function?

The domain of a function is the set of all the function's possible x-values.

According to the definition of domain, when 1 ≤ x ≤ 9, the function is completely defined, hence option(C) is correct.

Learn more about domain on:

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Answer 2
Answer:

The third answer cHoICE is the correct answer


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What is the slope between the points (3, 5) and (-2, -4)?A.9/5 B.1 C.5/9 D.-5/9

Write an equation in slope-intercept form for the line with slope -7 and y-intercept 8 . Then graph the line.

Answers

Answer:

Part 1) The equation of the line is y=-7x+8

Part 2) The graph in the attached figure

Step-by-step explanation:

Part 1)

Find the equation of the line

we know that

The equation of a line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem we have

m=-7

b=8

substitute

y=-7x+8

Part 2)

Graph the line

Find the intercepts

The y-intercept is the point (0,8) -----> given value

The x-intercept is the value of x when the value of y is equal to zero

For y=0

0=-7x+8

7x=8

x=8/7=1.143

The x-intercept is the point (1.143,0)

To graph the line plot the intercepts

see the attached figure

Factor completely.

6x^2+3x-63

Answers

an alternate method would be to take out 3 first


(since it is common to each term)3(2x + x - 21)



now break down the middle terms3(2x - 6x + 7x - 21)now you can proceed to factoring your equation.

Find the length of the missing side of the triangle below



PLEASE HELPP!!

Answers

To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.

Pythagorean Theorem:  a² + b² = c²

[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]

Plug in what you know:

b = 8

c = 14

a² + b² = c²

a² + (8)² = (14)²

a² + 64 = 196       Subtract 64 on both sides

a² = 132       Square root both sides to get "a" by itself

√(a^2) =√(132)

a = √(132) inches

If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132

132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The only number that can be square rooted is 4, so you can do:

a=√(4*33)

a=√(4) *√(33)

a=2√(33)

Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7 Describe any patterns you noticed when converting the decimals in the table

Answers

Answers

Part 1 = 2/9


Part 2 =5/9


Part 3 =7/9



Explanation

To convert the a repeating decimals this are the steps;

Part 1

Let x = 0.222222... (i)

10x = 2.222222... (ii)


Subtract equation (i) from equation(ii)


10x = 2.222222....

-x = 0.222222....

9x = 2.00000..


∴ 9x = 2

Divide by 9 both sides;


x = 2/9


Part 2

Let x = 0.5555...

10x = 5.5555...

subtract equation (i) from equation (ii).


10x = 5.5555..

- x = 0.5555..

9x = 5.0000..


∴ 9x = 5

x = 5/9


Part 3

Let x = 0.7777....

10x = 7.7777...


Subtracting equation (i) from equation (ii)


10x = 7.7777...

-x = 0.7777...

9x = 7.000..


∴ 9x = 7


x = 7/9


Pattern noted

When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.

What is 83/10 as mixed fractions

Answers

Divide 83 by 10 and you get 8 with a rest of 3 (integer division). This means that the mixed fraction is 8 3/10
To get an improper fraction into a mixed fraction, we need to divide the denominator with the numerator, Thus, if we divide 10 by 83, we will get 8. Thus the answer is  8 3/10. If we were to pronounce this, we are going to say, 
'8 whole 3/10.'

   

Laura  earns $ 255 by working 20 hours each week .Part A 
Write an equation to find how much Laura earns per hour. Use H to represent the hourly 
Equation 

Part B 
Solve the equation to find Laura's hourly rate 

part C 
Laura earns $2.90 more per hour than her friend ,Jess . Write an equation to show how much Jess earns per hour .Use J to represent her hourly

Answers

you will have to figure out the last equation but here is the rest:

you will have to figure out the last equation but here is the rest: