Answer:
A: The x-intercept of k(x) is half the x-intercept of h(x)
Step-by-step explanation:
Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.
Hence answer choices B, C, and D can be eliminated.
The x-intercepts are found by setting y=0 and solving for x:
h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2
k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1
The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A
Do determine the probability of two events occurring in sequence, multiply the probability of each event against the other.
There's a 1 in 6 chance of rolling a 3 on a 6-sided number cube; there's a 5 in 6 chance of rolling not-a-3 on a 6-sided number cube; thus, the chance of rolling a 3 that is immediately followed by a not-3 is:
(1/6) times (5/6) = (5/36)
Answer:
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
that would be the solution of the equation 1/8 = 6*8 = 48
Answer:
a. The phone will be at 92% and the tablet will be at 88%
b. One hour and 15 minutes for both devices to finish charging.
Step-by-step explanation:
For Part A), we can find that Sam's phone battery is increasing by 12% every 10 minutes. By multiplying 12 by 3 (30 minutes) and adding it to the 56% from the first 30 minutes, we get the answer 92%. The tablet charges 12% per every 15 minutes, and one hour has four sets of 15 minutes. So 12 times 4 and then added to 40% gives us 88%.
For Part B), we must calculate how much time it takes before both devices are fully charged. Because it charges at a slower rate and will finish last, we must rely on the rate of the tablet for this question. At a rate of 12% per 15 minutes, Sam's devices would both be fully charged after an hour and 15 minutes. This is because an additional 15 minutes would give the tablet 12% more battery, and 88 + 12 = 100. If you also needed to know when the phone would finish charging by itself, you would find that the phone only needed 8% left to become 100%. The phone charges at 12% per 10 minutes, and 8 is 2/3 of 12. This would mean the phone would need roughly an additional 7 minutes to charge, making for a total of one hour and 7 minutes for the phone.
Hope this helps!
