Answer:
Hey Bud
your answer is x ≤ 8
Step-by-step explanation:
should be closed dot pointing to the negative numbers
Let's solve your inequality step-by-step
Step 1: Simplify both sides of the inequality.
Step 2: Add 13/5 to both sides.
Step 3: Multiply both sides by 5/(-4).
Answer:
The third graph is the correct one.
Step-by-step explanation:
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Answer:
66
Step-by-step explanation: 120 divided by 4= 30 and 120 divided by 5=24 30+24=54 120-54=66
We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.
We will use exponential growth formula to solve our given problem.
, where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Upon substituting initial value and in above formula, we will get:
Therefore, there will be approximately 3300 cells at the end of 12 hours.