Hello:
3x²+5x+2=0
delta = (5)²-4(3)(2)=1
x =( -5 <span>±1)/6
x= -2/3 or x=-1
t4-81=(t²)² -9² = (t²-9)(t²+9) =(t-3)(t+3)(t²+9)....(answer B)</span>
<span>The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. </span>
<span>In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 </span>
<span>The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 </span>
<span>Go back and solve for y to find the y-coordinate of the vertex. </span>
<span>y = - 2(2)² + 8(2) - 5 </span>
<span>y = - 2(4) + 16 - 5 </span>
<span>y = - 8 + 16 - 5 </span>
<span>y = 3 </span>
<span>Vertex is (2, 3)</span>
Answer: y = -5x+5
Step-by-step explanation: Slope intercept form is written as y = mx+b where m is the slope of the function and b is the y-intercept of the function. In this linear function, the line crosses the y-axis at (0,5). This is the y-intercept. We can find the slope with the (y2 - y1) / (x2 - x1) by choosing 2 points on the graph. I chose (0,5) and (1,0). If you use the formula, you will end up with -5 as your slope.
13) f(x) = a ( x + 2 ) - 7
14) f(x) = 3 ( x - 5 ) + 2
Answer:
x = 72 degrees
Step-by-step explanation:
Use the definition of a tangent function:
tan x = opposite/adjacent
= 154/50
= 3.08
----> x = arctan 3.08 = 72 degrees
