this table shows input and output values for a linear function f(x). What is the difference of outputs for any two inputs that a
re one value apart?
2 answers:
Answer: The answer is (c) 0.5.
Step-by-step explanation: We are given a table that shows the input and output values of a function f(x). We are to find the difference of outputs for any two inputs that are one value apart.
That is, we need to find f(n + 1) - f(n), for n > -4.
Let us take n = 0. So, n + 1 = 0.
From the table, we note that f(0) = 1 and f(1) = 1.5.
Therefore, we have
We can also check taking different values of 'n' that the difference will come out to be same, i.e., 0.5.
Thus, the answer is 0.5.
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Answer:
The three pieces of wood when placed together <u>cannot</u> form a triangle when used for full length.
Step-by-step explanation:
Given:
Length of Board A = 5 inches
Length of Board B = 7 inches
Length of Board C = 13 inches
We need to find whether three pieces of wood be placed together to form a triangle.
Solution:
Now we know that;
By Triangle inequality property:
"A triangle can be form when sum of the length of the 2 side of triangle is greater than third."
For this all three condition must be fulfilled.
We will check for each condition whether it is true or not.
Condition 1: Board A + Board B > Board C
Which is false.
Condition 2: Board B + Board C > Board A
Which is true.
Condition 3: Board C + Board A > Board B
Which is true.
From above we can see that 2 conditions are true and 1 is false and for triangle creation all 3 conditions must be true.
Hence The three pieces of wood <u>canno</u>t be placed together to form a triangle when used for full length.