5<em>x</em>² - 7<em>x</em> + 2 = 0
5(<em>x</em>² - 7/5 <em>x</em>) + 2 = 0
5(<em>x</em>² - 7/5 <em>x</em> + 49/100 - 49/100) + 2 = 0
5(<em>x</em>² - 2 • 7/10 <em>x</em> + (7/10)²) - 49/20 + 2 = 0
5(<em>x</em> - 7/10)² - 9/20 = 0
5(<em>x</em> - 7/10)² = 9/20
(<em>x</em> - 7/10)² = 9/100
<em>x</em> - 7/10 = ± √(9/100)
<em>x</em> - 7/10 = ± 3/10
<em>x</em> = 7/10 ± 3/10
<em>x</em> = 10/10 = 1 or <em>x</em> = 4/10 = 2/5
Answer:
Option C is the correct answer.
Step-by-step explanation:
Since a random number generator is used to select a single number between 1 and 28, inclusively;
For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.
Let's list the divisors of 28:
The divisors of 28 are {1, 2, 4, 7, 14, 28}
The only option that contains one of the divisors is option C which is 7.
<h3>
Answer: 41.19 degrees</h3>
==========================================
Work Shown:
See the diagram below.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 7/8
A = arctan(7/8)
A = 41.1859252
A = 41.19 degrees
520/104=5/1=6,5/1,3=k, where k=5
Answer:
Each shirt costs 12 dollars.
Each pair of pants cost 40 dollars.
Step-by-step explanation:
<u>Let x represent the shirts </u>
<u>Let y represent the pair of jeans</u>
10x + 4y = $280
12x + 5y = $344
<u>Use elimination method to eliminate y</u>
• Multiply the entire first equation by 5.
• Multiply the second entire equation by -4.
5(10x +4y = $280)
-4(12x + 5y = $344)
50x + 20y = 1400
-48x -20y = -1376
2x = 24
x = 12
Each shirt costs 12 dollars.
<u>Solve for how much each pair of jeans costs.</u>
10(12) + 4y = 280
120 + 4y = 280
4y = 160
y = 40
