The answer is C. An inscribed circle of a triangle APEX 2018
Answer: The correct reason is (B) each input value is mapped to a single output value.
Step-by-step explanation: The given statement is:
"The graph of a function never has two different points with the same x-coordinate."
We are to select the correct reason for the above statement.
The definition of a FUNCTION is as follows:
In simple language, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
That is, if y = f(x) is a function of a variable 'x', then we have
(A) The first statement is "the graph of a function cannot be a straight line."
The statement is false. For example, let us consider y = x + 2. Obviously, it is a function because every value of 'x' will result in only one value of 'y'.
Also, the graph here will be a straight line as shown in the attached figure (1).
(B) The first statement is "each input value is mapped to a single output value."
The statement is true according to the definition of a function.
(C) The third statement is "each input value is mapped to more than one output value."
The statement is false by the definition of a function.
(D) The fourth statement is "the graph of a function is a vertical line."
The statement is false. For example, if we consider the vertical line x = 2. Then, we see from the attached figure (2) that the points (x, y) = (2, 1), (2, 0), (2, 3), etc. all lie on the line.
This shows that one input value leads to infinitely many values of 'y'. Hence, this vertical line cannot be the graph of a function.
Thus, (B) is the correct statement.
Answer:
Answer:
2 2
-- X --
2 4
Step-by-step explanation:
b. 54.2%
c. 64.9%
d. 54.1%
Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
Cost price of a baseball card = $24
Selling price of a baseball card = $37
So, Profit would be
So, Profit % would be
Hence, Option 'b' is correct.
Answer:
The answer is B. 54.2% hopefully this helps!
20
What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
y=20x
Step-by-step explanation:
do do I intercept a zero, so you don't have a "b"
The slope is 20. that's pretty self-explanatory
x = 3; the diver hits the water 3 feet away horizontally from the board
x = 10; the diver jumps in the pool at 10 feet per second
x = 3; the diver jumps in the pool at 3 feet per second
The diver hits the water 3 feet away horizontally from the board.
The correct option is (b)
A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0 with a ≠ 0 .
Given function: f(x)= -x² -7x +30
Factorising f(x), we get
-x² -7x +30 =0
x² +7x -30 =0
x² +10x - 3x -30 =0
x(x+10)-3(x+10)=
(x+10)(x-3)=0
The roots of this quadratic equation are x = 3 and -10.
As, the diver is on a diving board we will not use -10.
Hence, the diver hits the water 3 feet away horizontally from the board.
Learn more about quadratic equation here:
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