Answer:
Option A
Step-by-step explanation:
A domain of a function are all the inputs of the function. (or x-values)
The picture is a function mapping.
The left 'oval' contains the domain, as the right 'oval' contains the range.
The numbers in the left oval are [-1,3,5]. Therefore, they are the domain of the function.
Option A should be your correct answer.
Answer:
Rate of change/slope: 35
Miles at 10 hours: 350
Step-by-step explanation:
We can find the rate of change or the slope by using the slope formula below:
m = (y2-y1)/(x2-x1) where m is the slope
To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)
m = (140-70)/(4-2)
m = 70/2
m = 35
The rate of change is 35 miles per hour
To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).
y = mx + b
70 = 35(2) + b
70 = 70 + b
b = 0
So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:
y = 35(10)
y = 350
The number of miles at 10 hours is 350 miles
The new rate will be $15.60
15 * 0.04 = 0.60 + 15 = 15.60
Answer: the answer is x^2+2x-25
Step-by-step explanation:
Use distributive property
Multiply the two x’s by each other
Multiply the first x by +5
Multiply the -3 by x
Multiply the -3 by +5
You have x^2+5x-3x-15=10
Move the 10 to the left side and simplify
x^2+2x-25
The first step of solving this is to isolate the variable y in the first equation.
3x - y = -2 Subtract -3x from both sides
- y = - 3x - 2 Divide both sides by -1
y = 3x + 2
Now, substitute that y value into the second equation.
2x^{2} - y = 10 Substitute
<span>2x^{2} - (3x + 2) = 10 Multiply all of the numbers in the parentheses by -1
2x^{2} - 3x - 2 = 10
</span>
<span>So the correct answer choice is D) 2x^{2} -3x - 2 = 10.</span>
