Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
Answer : (0,3) U (3, ∞)
We need to find the interval(s) over which the function is decreasing
We look at the intervals of x where the graph is decreasing
Decreasing interval of the graph is the part where the graph goes down
We look at the part where the graph changes direction
In the middle inverted U shaped graph , the graph changes direction and start decreasing at x=0
the graph is decreasing till x=3
so first decreasing interval is x=0 to 3. we write it as (0,3)
After x=3 the graph starts decreasing and it goes to infinity
So the second decreasing interval is 3 to infinity . We write it as (3, ∞)
Now combine both intervals by a 'U' union
(0,3) U (3, ∞)
Hi there!
Based on your options, I think we're going from the big figure to the small figure. 12/8 = 1 1/2
ANSWER:
D - 1.5
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
Sure
Step-by-step explanation:
2x^2 - 5x + 1 = 3
Subtract 3 from both sides
2x^2 - 5x + 1 - 3 = 3 - 3
2x^2 - 5x - 2 = 0
Use quadratic formula with A = 2, B = - 5, C = - 2
x = - b +- sqrt b^2 - 4ac/2a
x = - ( - 5) +- sqrt (- 5)^2 - 4(2)( - 2)/(2)(2)
x = 5 +- sqrt 41/4
x = 5/4 + 1/4sqrt 41 or x = 5/4 + - 1/4 sqrt 41
Answer: x = 5/4 + 1/4 sqrt 41
x = 5/4 + - 1/4 sqrt 41
Hope that helps!!!!! (D)
