Move all terms to one sides
3x^2 - 14x - 5 = 0
Split the second term in 3x^2 - 14x - 5 into two terms
3x^2 + x - 15x - 5 = 0
Factor out the common terms in the first two terms, then in the last two terms;
x(3x + 1) - 5(3x + 1) = 0
Factor out the common term 3x + 1
(3x + 1)(x - 5) = 0
Solve for x;
<u>x = -1/3, 5</u>
Answer:
Step-by-step explanation:
Positive integers are of the form 2n
The first term is 2 and the 130th term is 2(130)=260
The sum of this arithmetic sequence is the average of first and last terms times the number of terms
(2+260)(130/2)
17030
Number of swings = x
Number of slides = y
First condition:
number of slides must be more than 3 times number of swings
This means that: y > 3x
Second condition:
each swing cost 275$ and each slide costs 168$. They cannot spend more than 1250$. This means that the sum of costs of swings and slides should not exceed 1250$ (should be less than or equal to 1250$)
This means that: <span>275x+168y ≤ 1250
Based on this:
The correct choices are: b and d</span>
I have attached an image of how I solved this problem:
There are 10 letters in statistics and there are two i's there so 2:10 odds = 1:5 or 20%
