Answer:
No solution
Step-by-step explanation:
Rearrange into quadratic form: 3x² + 0x - 3 = 0
Quadratic formula: when <em>ax² + bx + c = 0: x = (-b ± √(b² - 4ac))/2a</em>
Plug in: x = 0 ± √(0 - 4*3*3))/2a
From this, we can conclude that this equation has no solution, as <em>0 - 4*3*3 will definitely be negative</em>, and <em>a negative number can not be square rooted</em>.
Answer:
5.4 times 0.085 equals 0.495
Step-by-step explanation:
<u>ANSWER</u>
The zeros are ![x=-5,x=0,x=5](https://tex.z-dn.net/?f=x%3D-5%2Cx%3D0%2Cx%3D5)
EXPLANATION
Given;
.
We can rewrite the function as
![f(x)=x^2(x^2-25)](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%28x%5E2-25%29)
![\Rightarrow f(x)=x^2(x^2-5^2)](https://tex.z-dn.net/?f=%5CRightarrow%20f%28x%29%3Dx%5E2%28x%5E2-5%5E2%29)
![\Rightarrow f(x)=x^2(x-5)(x+5)](https://tex.z-dn.net/?f=%5CRightarrow%20f%28x%29%3Dx%5E2%28x-5%29%28x%2B5%29)
The zeros are found by equating the function to zero.
![\Rightarrow x^2(x-5)(x+5)=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2%28x-5%29%28x%2B5%29%3D0)
![\Rightarrow (x-5)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x-5%29%3D0)
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is ![x=5](https://tex.z-dn.net/?f=x%3D5)
Or
![\Rightarrow (x+5)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x%2B5%29%3D0)
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is ![x=-5](https://tex.z-dn.net/?f=x%3D-5)
Or
![\Rightarrow x^2=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2%3D0)
This last root has a multiplicity of 2.
That is
repeats two times.
Since the multiplicity is even, the graph touches the x-axis at the point
.
See graph.
Answer:
y = 4/3x + 1.
Step-by-step explanation:
The equation of the lines passing through (2,1) and (6,7) is:
y - 7 = (7-1)/(6- -2)(x - 6)
y - 7 = 6/8(x - 6)
y = 3/4(x - 6) + 7
y = 3/4x + 5/2.
So the line perpendicular to it has slope -1/3/4 = -4/3:
y - 9 = -4/3(x + 6)
y = -4/3 x - 8 + 9
y = 4/3x + 1.
Y is 7.5
A easy way to do it is simply graph it or divide it!
For instance, since x=5 is half of x=10, we would just divide 15 by 2 to get Y which is 7.5