Answer:
<h2>C. 8 + 3i</h2>
Step-by-step explanation:
(9 + 6i) - (1 + 3i) = 9 + 6i - 1 - 3i = (9 - 1) + (6i - 3i) = 8 + 3i
Answer:
14 (3 sqrt x)
Step-by-step explanation:
Answer:
The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.
Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.
The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)
The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)
Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.
Step-by-step explanation:
Answer:
I am going with zero yards.
Step-by-step explanation:
If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards
did he mow during the rest of the week?
If he mowed 14x² + 12x – 3 yards for the entire 7 days of the week. He would not have anymore days to left in the week to mow, so he mowed ZERO more yards
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!