ANSWER
a relation only
EXPLANATION
The given graph shown in the attachment represents only a relation and not a function.
The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.
Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.
Answer:
The constant in the expression is 12
Step-by-step explanation:
The constant of the expression is the value that is independent of the number of minutes Janelle uses. The expression can be written as :
f(m)=0.05m +12
Example if m is 1 or 2
f(1) = 0.05(1) +12 = 12.05
f(2= = 0.05*2 +12 =0.1 +12 = 12.1
The value 12 is the minimum price of the bill indepent of the consumption of minutes of Janelle. She will always be charged this value.
Answers:
Vertical asymptote: x = 0
Horizontal asymptote: None
Slant asymptote: (1/3)x - 4
<u>Explanation:</u>
d(x) =
=
Discontinuities: (terms that cancel out from numerator and denominator):
Nothing cancels so there are NO discontinuities.
Vertical asymptote (denominator cannot equal zero):
3x ≠ 0
<u>÷3</u> <u>÷3 </u>
x ≠ 0
So asymptote is to be drawn at x = 0
Horizontal asymptote (evaluate degree of numerator and denominator):
degree of numerator (2) > degree of denominator (1)
so there is NO horizontal asymptote but slant (oblique) must be calculated.
Slant (Oblique) Asymptote (divide numerator by denominator):
- <u>(1/3)x - 4 </u>
- 3x) x² - 12x + 20
- <u>x² </u>
- -12x
- <u>-12x </u>
- 20 (stop! because there is no "x")
So, slant asymptote is to be drawn at (1/3)x - 4
Answer:
5/6
Step-by-step explanation:
9/18 + 1/3 <Need the same denominator so find the lowest common multiple.
3 6 9 12 15 18 < multiples of 3
if 3 goes into 18 than it will be our LCM
3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation
9/18 + 6/18 < just add 9 + 6 and place it over 18
15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.
1 3 5 15 <Factors of 15
1 2 3 6 9 18 <Factors of 18
3 is the highest one they both have so divide both 15 and 18 by 3
15/3 is 5 and 18/3 is 6
put the 5 and 6 in their proper places and you have 5/6 or .83333333333...
Answer:
9/2 or 4 1/2
Step-by-step explanation:
- 3/4 ÷ 1/6 = 3/4 × 6
- 3/4 × 6 = 18/4
- 18/4 = 9/2
- 9/2 = 4 1/2
Therefore, the answer is 9/2 or 4 1/2.