Answer:
x ∈ (-∞,-3)∪(0.5,∞)
Step-by-step explanation:
2x^2+6x-x-3>0
2x(x+3)-1(x+3)>0
(2x-1)(x+3)>0
x ∈ (-∞,-3)∪(0.5,∞)
a) if you have 5000 staples can you fill 28 staplers with 210 staples in each stapler? and you need to find out if there are enough staples to fill all 28 staplers
b) multiplication and division
c) ~23
d) No there are not
Answer:
see explanation
Step-by-step explanation:
(a)
2x + 10 ← factor out 2 from each term
= 2(x + 5)
(b)
5x - 15 ← factor out 5 from each term
= 5(x - 3)
(c)
8x + 6 ← factor out 2 from each term
= 2(4x + 3)
(d)
12x - 8 ← factor out 4 from each term
= 4(3x - 2)
Answer:
<u>The standard form is:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
<u>Convert the given into standard form by completing square:</u>
- x² - 4x + y² + 6y = 12
- x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
- (x - 2)² + (y + 3)² = 25
- (x - 2)² + (y + 3)² = 5²
- The standard form is above.
- The center is (h, k) = (2, -3)
- The radius is r = 5
