Answer:
g(x) = 2x - 3
Step-by-step explanation:
The inverse of a function is the equation where x and y have switched places. If when you solve for y again, the function passes the vertical line test, the inverse if a function.
g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to y = (x-3)/2. This is a line and is a function y = 1/2 x - 3/2.
k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to . This is a function but only for certain values of x.
f(x) = |x+2| is an absolute value function. All absolute value functions do not have inverses which are functions.
w(x) = -20 does not have an inverse which is a function.
This means A is the solution.
Answer:
is a polynomial
Step-by-step explanation:
Given : polynomials and
Solution:
Polynomial :An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.
Thus is a polynomial
Hence option A is correct.
Answer:
<em>The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.</em>
Step-by-step explanation:
Given
Total Questions = 20
Total Points = 28
Correct Answers = +2 points
Incorrect Answers = -1 point
Required
Spot the error in the viewer's calculation
The viewer represents the correct answers with x and the incorrect ones with y.
This implies that
Also, for every correct answers, she gets 2 points;
<em>This can be represented by 2x</em>
and for every incorrect answers, she gets -1 point
<em>This can be represented by -y</em>
This implies that
This is where the viewer made a mistake
The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;
Solving further
Add both equations together
Divide both sides by 3
Substitute in
Subtract 16 from both sides
<em>This implies that the contestant answered 16 questions correctly and 4 questions incorrectly</em>
<em></em>
Answer:
12 squares
Step-by-step explanation:
Data provided:
Dimension of the rectangle = 30 × 40
Area of the rectangle = 30 × 40 = 1200
Dimension of the area to be divided = 10 × 10
Thus,
Area of the square to be divided into = 100
Therefore,
The number of square in which it can be divided
=
=
= 12
Hence,
It can be divided in 12 squares