What are you looking for ? ... the area ??
Answer:
x = ± 7
Step-by-step explanation:
Given
(2x - 1)(3x + 2) = x + 292 ← expand left side using FOIL
6x² + x - 2 = x + 292 ( subtract x from both sides )
6x² - 2 = 292 ( add 2 to both sides )
6x² = 294 ( divide both sides by 6 )
x² = 49 ( take the square root of both sides )
x = ± 7
That is x = - 7, x = 7
Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
1.

2. -2+5n or 5n-2
3. (12s)+150 where s=number of students
4. 3(32)+1(53)=96+53=159 per hour, so 159h
9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105
10. 3²=9, 4²=16, so between 3 and 4, but closer to 4, so √14≈4
11. that is the associative property, it deals with moving parentahees around
12. 2(6.25)+1(5.50)+2(2.75)=2(6.25+2.75)+1(5.50)=2(9)+5.5=18+5.5=23.5
13. yes, because they are both 2 less than 3 times of a number
14. maybe 18 times 3, so (4²+2) times 3=54
Answer:
11, 13, 17, 19
Step-by-step explanation:
If you look at the prime numbers chart between 10 and 20, there are:
11, 13, 17, 19
Those are all of the prime numbers that are between 10 and 20.