Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Answer:
A∩B=∅
Step-by-step explanation:
A intersect B have no elements in common - so we have the empty set.
Answer:
1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.
b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.
c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.
2. The answer is s = 1/2m + 2
3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.
4. 10r + 4 = 8 → 10r = 4 → r = 0.4
5. The variable r represents the rate she must increase her texting speed by per month.
6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".
The "x" intercept is found when you plug in "0" for "y"
-6x + 3(0) = 18.9
-6x = 18.9 (Divide both sides by -6)
x = - 3.15
(-3.15, 0) is your x-intercept
Now plug in "0" for the x
-6(0) + 3y = 18.9
3y = 18.9 (Divide both sides by 3)
y = 6.3
(0, 6.3) is your y - intercept
Answer:
1 3/5 = 8
2 = 10
Step-by-step explanation:
1 3/5 is 1.60 in decimal form so divide 1.6/0.2
2 is 2 so divide that by 0.2
