The statement that best describes the domain of this function is Option(C).
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).
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.
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The third answer cHoICE is the correct answer
Answer:
Part 1) The equation of the line is
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
where
m is the slope
b is the y-intercept
In this problem we have
substitute
Part 2)
Graph the line
Find the intercepts
The y-intercept is the point -----> given value
The x-intercept is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point
To graph the line plot the intercepts
see the attached figure
6x^2+3x-63
PLEASE HELPP!!
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 = 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:
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.
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
you will have to figure out the last equation but here is the rest: