Answer: x<4
Given the inequality:
We want to solve the inequality for x.
First, distribute the bracket on the right side of the inequality.
Next, subtract 10x from both sides of the inequality.
Add 24 to both sides of the inequality.
Divide both sides of the inequality by 6.
The solution to the inequality is x<4.
Answer:
The first five terms of the given sequence
3, 6, 11, 18, 27
Step-by-step explanation:
It is given that,
an=n² +2
<u>To find the first five terms</u>
a₁ = 1² + 2 = 1 + 2 = 3
a₂ = 2² + 2 = 4 + 2 = 6
a₃ = 3² + 2 = 9 + 2 = 11
a₄ = 4² + 2 = 16 + 8 = 18
a₅ = 5² + 2 = 25 + 2 = 27
Therefore the first five terms of the given sequence
3, 6, 11, 18, 27
Which of the following is NOT discussed in this excerpt?
A.
One can follow certain steps to learn to improve the quality of one’s life.
B.
Men are too easily lured by monetary gain.
C.
Authors have not addressed how humankind should earn a living through their literature.
Answer:
A) 0.4255
B) 0.5813
C) 0.5588
D) 0.7241
Step-by-step explanation:
Assuming that the probability for each case is the same, we can calculate the probability by dividing the number of favourable cases with the total amount of cases. You can find the total amount of cases by adding the favourable ones with the non favourable ones, so, the probability of each case would be:
A) 20/(27+20) = 20/47 = 0.4255
B) 25/(18+25) = 25/43 = 0.5813
C) 19/(15+19) = 19/34 = 0.5588
D) 21((8+21) = 21/29 = 0.7241
Answer:
(8, 5) (Answer C)
Step-by-step explanation:
Write this system of linear equations in a (vertical) column:
4x - 3y = 17
5x + 4y = 60
Let's eliminate y through addition/subtraction:
Multiply 4x - 3y = 17 by 4, obtaining 16x - 12y = 68, and
multiply 5x + 4y = 60 by 3, obtaining 15x + 12y = 180. Then we have:
16x - 12y = 68
15x + 12y = 180
----------------------
31x = 248, and so x = 248/31 = 8.
Now find y. Substitute 8 for x in 5x + 4y = 60: 5(8) + 4y = 60, or
4y = 60 - 40 = 20.
Thus, y = 20/4, or y = 5.
The solution is (8, 5) (Answer C)
