Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as
The transformed graph has equation:
The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
STEP-BY-STEP SOLUTION:
Let's first establish the inequality which we need to solve as displayed below:
y + 1 < 3
To begin with, we need to make ( y ) the subject by keeping it on the left-hand side of the inequality and placing all other numbers on the right-hand side of the equality as displayed below:
y + 1 < 3
y < 3 - 1
Then, we simply simplify / solve as displayed below:
y < 3 - 1
y < 2
ANSWER:
y < 2
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
So the unit rate is basically how many ounces in 1 cup?
So since there are 64 ounces in 8 cups, you can just divide by 8, to find how many sets of 8 there are in 64.
64 = 8
64 / 8 = 8 / 8
8 = 1
So there are 8 ounces in 1 cup, which is your unit rate.