Answer with Step-by-step explanation:
We are given that
a.We have to find g(f(x))
b.We can see that
f(x) is logarithm function and g(x) is linear function.
But , the composition function gof(x) is also logarithmic function.
The composition function gof(x) is 3 times the function f(x).
Answer: No
Step-by-step explanation:-
Labeled diameter on the bolt = 0.35 inch
The observed diameter of the bolt= 0.33 inch
For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
