Answer:
f^-1(x) = (x -14)/10
Step-by-step explanation:
You can find the inverse function by solving for y:
x = f(y)
Here, that is ...
x = 10y +14 . . . . . use the definition of f(y)
x -14 = 10y . . . . . . subtract 14
(x -14)/10 = y . . . . divide by the coefficient of y
So, your inverse function is ...
f^-1(x) = (x -14)/10
Answer:
(3x + 5)(2x - 3) = 6x² + x - 15
Step-by-step explanation:
To find the product of two binomials, we could use the FOIL method.
First
Outer (Outside)
Inner (Inside)
Last
(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15
So the product of the two binomials would be 6x² + x - 15.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
Answer:
dot
Step-by-step explanation:
Answer:
Remember that for a subset of a ring to be an ideal it must be closed under addition and under taking multiples by elements of the ring, and in this case the set of all composite integers is not closed under addition.
Step-by-step explanation: