Answer:
32/27
Step-by-step explanation:
Answer:
Step-by-step explanation:-16x^2 + 24x + 16 = 0.
A. Divide by 8:
-2x^2 + 3x + 2 = 0, A*C = -2*2 = -4 = -1 * 4. Sum = -1 + 4 = 3 = B, -2x^2 + (-x+4x) + 2 = 0,
(-2x^2-x) + (4x+2) = 0,
-x(2x+1) + 2(2x+1) = 0,
(2x+1)(-x+2) = 0, 2x+1 = 0, X = -1/2. -x+2 = 0, X = 2.
X-intercepts: (-1/2,0), (2,0).
B. Since the coefficient of x^2 is negative, the parabola opens downward. Therefore, the vertex is a maximum.
Locate the vertex: h = Xv = -B/2A = -24/-32 = 3/4, Plug 3/4 into the given Eq to find k(Yv). K = -16(3/4)^2 + 16(3/4) + 16 = 19. V(h,k) = V(3/4,19).
C. Choose 3 points above and below the vertex for graphing. Include the points calculated in part A which shows where the graph crosses the x-axis.
Answer:
96x^3+24x^2-432x+270
Step-by-step explanation:
hope it helped
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
A quadrant is the area that is divided into the x and y axes
The quadrants in which tan 
and cot are positive are I and III
<h3>How to determine the quadrants</h3>
The tangent of an angle is calculated as:
While the cotangent of the angle is calculated as:
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
- In the first quadrant, the sine and the cosine angles are positive.
- In the third quadrant, the sine and the cosine angles are negative.
Hence, the quadrants in which tan and cot are positive are I and III
Read more about trigonometry ratios at:
brainly.com/question/8120556
