Turn y - 4 = -2/3(x - 6) into a linear equation.
y - 4 = -2/3(x - 6)
y - 4 = -2/3x + 4
+4 +4
y = -2/3x + 8
The equation that is perpendicular to y = -2/3x + 8 is y = 3x + 4 as shown in the image below using a graph.
Michelle has some dimes and quarters. If she has 22 coins worth a total of $2.80, how many of each type of coin does she have?
2 answers:
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Answer:
24761 mosquitoes
5.4 days
Step-by-step explanation:
Let the equation that shows the population of the mosquitoes after x days,
Where,
P = Initial population,
r = rate of increasing per day,
Here, A = 1000, when x = 0,
A = 1900 when x = 1,
Thus, the required function that represents the population after x days,
If x = 4,
The number of mosquito after 4 days,
If A = 60,000,
Taking log both sides,
Thus, there will 60,000 mosquitoes after 5 days.
Answer:
Proved
Step-by-step explanation:
To prove that for every prime p>3 12 divides
Proof:
Consider
Since p is prime p cannot be even. When p is odd, we have p+1 and p-1 as even number.
This gives us the both p+1 and p-1 are divisible by 2, hence product is divisible by 4
To prove the term is divisible by 3:
We have p-1,p, p+1 as consecutive integers hence any one must be divisible by 3. Since p is prime only either p-1 or p+1 is divisible by3
Hence we have product is divisible by 3 and 4
i.e. 12 divides , for all prime p >3