8 + 4x >_ 5x + 5,,, 3 >_ x. (>_ just means greater than our equal to)
Answer:
larger = 11
Step-by-step explanation:
We will consider x = bigger, y = smaller
This means x - y = 7 (The difference of two numbers is 7)
This also means that x = 7 + y
And
y + x^2 = 125 (The sum of the smaller number and the square of the larger number is 125)
If we sustitute x = 7 + y in the second equation we get
y + (7+y)^2 = 125
We can do the square of the binomial and get
y + 49 + 14y + y^2 = 125 (We substract 125 on both sides of the equation)
y + 49 + 14y + y^2 - 125 = 125 - 125
We get
y^2 + 15y - 76 = 0
We can make a factorization
(y+19)(y-4)= 0
y+19 = 0 y-4 = 0
y = -19 y=4
This means y=4 is the smaller number and x= 7+ y = 7 + 4 = 11
So x= 11 is the bigger number
Answer:
Step-by-step explanation:
To better understand the problem see that attached figure with letters
we know that
In the right triangle BCD
----> equation A
we know that
In the right triangle ABC
-----> equation B
equate equation A and equation B
Answer:
3h²
Step-by-step explanation:
factor or breakdown 3h² : 3 * h * h
factor or breakdown 3h³ : 3 * h * h * h
Now, we can see that 3 * h * h is common so 3h² is the gcf.
The first sampling method is Convenient Sampling. It is biased sampling and it is not representative of a random sample.
The second sampling method is Systematic Sampling. If this method of sampling is drawn from the population, it is an efficiently randomized sampling method.
Let us review the given answers.
1. Both samples should be exactly the same.
INCORRECT
2. Neither sample will be representative.
Because the second sampling method can be random, this answer is
INCORRECT.
3. The first sampling method, ..., is the most representative,
INCORRECT
4. The second sampling method, ..., is the most representative.
CORRECT