Answer:
28/32 and 26/32
Step-by-step explanation:
A common denominator of 8 and 16 is 32.
7/8 = (7 * 4)/(8 * 4) = 28/32
13/16 = (13 * 2)/(16 * 2) = 26/32
Two equivalent fractions with a common denominator are 28/32 and 26/32.
Graph A shows a positive linear association between x and y.
The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.
In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.
Answer: The correct line is
Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:
We are to select one of the lines from above that represent three equivalent expressions.
We can see that there are three different forms of a quadratic expression in each of the lines:
First one is the simplified form, second is the factorised form and third one is the vertex form.
So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.
We have
and
So,
Thus, Line 1 contains three equivalent expressions.
Now,
and
So,
Thus, Line 2 does not contain three equivalent expressions.
Hence, Line 1 is correct.