Answer: Sorry
Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(
You have added -13 to every function value, so every point on the graph is 13 "spaces" lower. The y-intercept is one such point, so ...
-The y-intercept is 13 spaces lower.
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<em>Comment on notation</em>
In plain text an exponent is preceded by a caret (^). If the exponent has arithmetic involved (addition, subtraction, multiplication, division), then the entire exponent needs to be enclosed in parentheses. When an exponential term that has a constant base is multiplied by another constant, then some sort of multiplication indicator is useful. Your expressions might be written ...
... f(x) = 4·2^x
... f(x) = 4·2^x - 13 . . . . . . or, better, f(x) = 4(2^x) - 13 . . so it is clear -13 is not part of the exponent
Answer:
True
Step-by-step explanation:
In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.
Answer:
(8, 11 )
Step-by-step explanation:
Given the 2 equations
2x + 2y = 38 → (1)
y = x + 3 → (2)
Substitute y = x + 3 into (1)
2x + 2(x + 3) = 38 ← distribute and simplify left side
2x + 2x + 6 = 38
4x + 6 = 38 ( subtract 6 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Substitute x = 8 into (2) for corresponding value of y
y = 8 + 3 = 11
Solution is (8, 11 )
