For functions, x’s can’t repeat, so looking at the first problem, C is the only one where the first number in each coordinate (x,y) doesn’t repeat.
For the second, x = -2 means that no x is always -2 matter which y you would look at. So x’s repeat and it forms a vertical line. So it is not a function
Answer:
(a) $60 | (b) $660
Step-by-step explanation:
We can use the simple interest formula for this:

<em>I = interest amount</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal form)</em>
<em>t = time (years)</em>
<em />
First, change 5% into its decimal form:
5% ->
-> 0.05
Next, plug in the values into the equation:


<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>

The total interest earned is $60 and the total is $660.
Answer:
339, 340, 341
Step-by-step explanation:
To find the 3 consecutive numbers, divide the sum by 3 to get the average. 1020/3=340. So the middle number is 340. That means the numbers are 339, 340, and 341.
Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.

This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.

which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.

which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.
83 is not divisible by 3, so cannot be the sum of three consecutive integers.
84 is the sum of 27, 28, 29.