The answer is 0 < x < infinity
Answer:
No, it's not a solution
Step-by-step explanation:
Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):
y<3x+2
2<3(-2)+2
2<-4 This inequality is false, so no, it's not a solution
Answer:
x² - 9x + 14 by completing the square is (x - 9/2)² - 25/4
Step-by-step explanation:
Given x² - 9x + 14
To rewrite by completing the square, we need to write this in the form (a + b)² or (a - b)² without changing the value of the expression.
(a + b)² = a² + 2ab + b² (equation 1)
(a - b)² = a² - 2ab + b² (equation 2)
x² - 9x + 14 = x² - 2(x)(9/2) + (9/2)² - 25/4 (equation 3)
Comparing (equation 3) with (equation 1) and (equation 2), we can see that it takes the form of (equation 1), though, surplus of 25/4, where a = x, and b = 9/2.
So
x² - 2(x)(9/2) + (9/2)² = x² - 2(x)(9/2) + 81/4 = (x - 9/2)²
Which means
x² - 9x + 14
= x² - 2(x)(9/2) + 81/4 - 25/4
= x² - 2(x)(9/2) + (9/2)² - 25/4
= (x - 9/2)² - 25/4
And the square is completed.
Step-by-step explanation:
No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.
Since they both have 3x terms subtract the second from the first to get rid of the x terms...
3x+2y=10
-3x+y=-13
__________
3y=-3
y=-1, which makes 3x+2y=10 become: 3x-2=10 so
x=4
So the solution is the point (4, -1)
