Step-by-step explanation:
First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19
Then y with x and x with y ⇒ y=6x-19 ⇒ x=6y-19
Solve the equation from for y:
x=6y-19
x+19=6y dividing with 6
1/6 x +(19/6) = y
Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)
hope this helps!
Answer:
<u>Option D. The student is completely incorrect because there is no solution to this inequality. </u>
Step-by-step explanation:
<u>The question is as following:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is no solution to this inequality.
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Given: |x-9| < -4
We should know that the out put of modulus always will be greater than or equal to zero.
So, The inequality always will not be true (unlogic condition)
So, There is no solution to this inequality.
The answer is option D
D. The student is completely incorrect because there is no solution to this inequality.
Answer:
A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval)
Step-by-step explanation:
A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation. Examples of discrete quantitative variables are number of needle punctures, number of pregnancies and number of hospitalizations.
Answer:
equilateral triangle
equilateral triangles are triangles with three equal sides
equiangular triangles are triangles where all e angles are the same
5% = 0.5
0.5n = 85
Divide by 0.5
0.5n = 85
/0.5 /0.5
n = 170.
The number is 170.
