Answers:
Domain = {-1, 2, 1, 8, 9}
Range = {2, 51, 3, 22}
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Explanation:
The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.
The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.
Side notes:
- This is a function since we don't have any repeated x values between any of the points. This graph passes the vertical line test.
- This function is not one-to-one because we have y = 51 correspond to multiple x values (x = 2 and x = 9 simultaneously). This graph fails the horizontal line test.
Answer:
<u>52 cm</u>
Step-by-step explanation:
1st piece (from bottom) = 67 cm
15th piece = 32 cm
a = 67
a₁₅ = a + 14d = 32
14d = 32 - 67
d = -35/14
d =-5/2
d = -2.5
a₇ = a + 6d
= 67 + 6(-2.5)
= 67 - 15
= <u>52 cm</u>
Answer:
Difference = 250 students
Step-by-step explanation:
Let the total number of students be x.
Given the following data;
% driving = 30%
% riding = 60%
% walking = 10%
Number of students driving = 375
First of all, we would determine the total number of students.
Total = 30/100 * x = 375
0.3x = 375
Total, x = 375/0.3
Total, x = 1250 students.
Next, we determine the number of students walking;
Walking = 10/100 * 1250
Walking = 12500/100
Walking = 125 students
Finally, we would determine many more students drive to school than walk to school;
Difference = 375 - 125
Difference = 250 students
Answer:
x=4
Step-by-step explanation:
4x+7=23
4x=23-7
4x=16
x=16÷4
x=4