The degree is 3, the zeros are; 4, 2i, -2i and a point is (-48, 2)
For zeros; 2i, -2i <-- complex conjugates, always in pairs
= -4(i²=-1)
=5
=0
Therefore the equation is; a(
+5) <-- b value is zero
Rewrite the equation with all zeros;
a(x-4)(x²+5)=f(x) <-- put in coordinates of the points to find the value of x
a(2-4)(2²+5)=-48
a(2)(9)=-48
a=-48/18
a=-8/3
The final polynomial function is; (-8/3)(x-4)(x²+5)=f(x)
Hope I helped :)
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
Answer:
The two angles are 85 and 95 degrees
Step-by-step explanation:
Supplementary angles add to 180
Let x be one angle
The supplement is 10 less, ( x-10)
They add to 180
x+ ( x-10) = 180
2x -10 = 180
Add 10 to each side
2x-10+10 =180-10
2x= 190
Divide by 2
2x/2 =190/2
x=95
The other angle is 95-10 = 85
The two angles are 85 and 95 degrees
Answer:
There are 406 students in the school
Step-by-step explanation:
Let the number of students in the school be x
The total ratio is 11 + 3 = 14
The ratio that buys lunch is represented by 3
So, we have it that;
3/14 * x = 87
3x = (14 * 87)
x = (14 * 87)/3
x = 406
Answer:
6 minutes
Step-by-step explanation:
2 degrees per minute
so you need 12 degrees so 12/2 = 6 degrees
