The speed of the person walking 7.5 miles in 3 hours will be 2.5 miles per hour.
Speed is defined as the fraction of the distance travelled by the object and the time taken by the object.
To calculate the speed at which he is walking, we can use the formula:
Speed = Distance ÷ Time.
Let's break down the steps:
Given information:
Apply the formula:
Speed = Distance ÷ Time.
Speed = 7.5 miles ÷ 3 hours.
Calculate the speed:
Speed = 2.5 miles per hour.
Therefore, his speed is 2.5 miles per hour.
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Answer:
21 quarters = 5.25
15 nickel. = .75
Step-by-step explanation:
21 + 15 = 36
5.25 + .75 = 6.00
Answer:
21 and 15
Step-by-step explanation:
true (just did this on apex)
(3x - 8) - (x2 - 5x - 2)
Answer:
-x^2 +8x -6
Step-by-step explanation:
Distribute the minus sign and collect terms.
(3x -8) -(x^2 -5x -2)
= 3x -8 -x^2 +5x +2
= -x^2 +8x -6
x^2 + 2x = 42
x^2 + x + 42 = 0
x^2 + 2x + 42 = 0
Answer:
The correct answer is x^2 + x = 42.
Step-by-step explanation:
First, we need to declare the unknown, as usual we will use x for the number. Then, the square of the number will be x^2. Following the order of the statement we have that x + x^2 =42. Here we have ‘‘translated’’ the term the sum in the mathematical operation of addition. Moreover, we convert the fact that the sum of a number and its square is 42 in a equality. This is the explanation of the equation x + x^2 =42.
Finally, using that the addition is commutative we have that x^2+x=42.
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.
b) f(n) = 4 + 3n
c) f(n) = 3 + 4n
d) f(n) = 3 + 4(n - 1)
Answer:
its d
Step-by-step explanation: