Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22
Algebra can be used to solve a random number problem by considering order of operations.
Step-by-step explanation:
Algebra is one of the broad parts of mathematics, together with number theory, geometry, and mathematical analysis. It is used to represent the letters and symbols than numbers and quantities.
Algebra is of two types
i.) Elementary algebra , ii.) Abstract algebra
Elementary algebra is used for any study and their applications.
Abstract algebra is used for advanced mathematics by professionals.
The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. The steps for the order of operations also require attention to mathematical grouping symbols, such as parentheses and brackets.
Answer:
b.For each additional dollar paid to a tutor, we expect exam score to increase by 1.5 points, holding number of hours of sleep per week and number of study hours fixed.
Step-by-step explanation:
Hello!
For any multiple regression model, you can define the estimated slope as "the change or modification of the estimated average of Y when one of the explanatory variables increases one unit while the others remain constant.
In this example the dependant variable is:
Y: Exam score
And you have three explanatory variables:
X₁: salary of the teacher ($).
X₂: hours of sleep per week of a student.
X₃: number of study hours of a student.
The estimated model is ŷ= 65 + 1.5X₁ + 0.2X₂ + 0.5X₃
You need to interpret the estimated slope of the amount paid to the teacher b₁= 1.5
The units of the slope are units of Y by units of X, in this case, Y has no units so it is 1/$.
Then we can say that for every additional dollar paid to the teacher, the estimated mean score of the exam will increase by 1.5 1/$ while the weekly sleep hours and study hours remain constant.
I hope it helps!
Answer:
End result is ln(-x) + 1
Step-by-step explanation:
1, ln x + 2
2. ln(x + 2) + 2
3. ln(x + 2 - 2) + 2 = ln x + 2
4. ln x + 1
5. ln(-x) + 1
