Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
The length of any two sides of a triangle must be larger than the remaining side, otherwise you won't have a connecting triangle.
So if AB is the largest side, then AC needs to be greater than 2. And if AC is the largest side, AC must be less than 8. Which means the answer is B.
Answer: D. False." Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population."
Step-by-step explanation:
- A stratified sample is obtained by dividing the population into groups without overlapping called strata and then obtaining a simple random sample from each stratum.
The individuals within each stratum should be homogeneous or similar in some way.
Therefore, the given statement "When obtaining a stratified sample, the number of individuals included within each stratum must be equal." is false because within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.
Answer:
$13,000
Step-by-step explanation:
52 weeks in a year means 26 two week periods (fortnights, if you feel it is important in social studies). This means 2600 dollars per year. Multiplty by 5 to get $13,000. Hope this helps!
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
