Answer:
Step-by-step explanation:
Divide 8 1/4 by 6 7/8 and the answer will be 1.2 times heavier.
8 1/4 is 8.25 and 6 7/8 is 6.875 in decimal point and again:
8.25 divided by 6.875 is 1.2.
Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
![(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2](https://tex.z-dn.net/?f=%28x-%28a%2Bbi%29%29%2A%28x-%28a-bi%29%29%3D%5C%5C%28x-a-bi%29%2A%28x-a%2Bbi%29%3D%5C%5C%28%5Bx-a%5D-bi%29%2A%28%5Bx-a%5D%2Bbi%29%3D%5C%5C%28x-a%29%5E2-%28bi%29%5E2%3D%5C%5C%28x-a%29%5E2-b%5E2%28-1%29%3D%5C%5C%28x-a%29%5E2%2Bb%5E2)
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
Answer:
13
Step-by-step explanation:
Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.
We want to find f(g(4))
Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)
So first lets plug in 4 into x for g(x)
g(x) = 6 + 8/x.
We want to find g(4)
g(4) = 6 + 8/4
First divide 8 by 4
g(4) = 6 + 2
Then add 6 and 2
g(4) = 8
Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)
f(x) = 2x - 3
we want to find f(8)
f(8) = 2(8) - 3
* multiply 2 and 8 *
f(8) = 16 - 3
* subtract 3 from 16 *
f(8) = 13
and we are done!
So we can conclude that f(g(4)) = 13
Answer:(8n-3) (5n-2)Step-by-step explanation:
T
adds 6
t-6
divides by 6
(t-6)/6
shawn
7+t
divide by 7
(7+t)/7
theyare equal
(t-6)/6=(7+t)/7
times 42 both sides
7(t-6)=6(t+7)
distribute
7t-42=6t+42
minus 6t both sides
t-42=42
add 42 both sides
t=84
