X + y = 4...x = 4 - y
2x + 3y = 0
2(4-y) + 3y = 0
8 - 2y + 3y = 0
-2y + 3y = 0 - 8
y = -8
x + y = 4
x - 8 = 4
x = 4 + 8
x = 12
solution is : (12,-8)
X^2-9=0 add 9 to both sides
x^2=9 take the square root of both sides
x=±3
One value: would be a single valued function, or just one answer.
Real numbers would be: natural numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.
No solution: there is no answer to the question.
Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.
Answer:
C.$0.15 I TOOK IT ON STUDY ISLAND
Step-by-step explanation:
First, you want to find an exact point on the graph. What I mean by this is you want to go somewhere on the graph where the line goes through an exact y and x value.
Second, you want to figure out where this x and y value are. Where the graph first goes through two points is at (20, 3).
Third, you want to figure out what the 20 and the 3 mean. 20 is the number of messages and 3 is the dollar amount.
Finally, to calculate the amount of money per message, you divide the dollar amount (3) by the number of messages (20). So, you have 3/20. After this, simplify 3/20 to get 0.15, or 15 cents per message.
