Answer:
Step-by-step explanation:
The given quadratic equation is
2x^2+3x-8 = 0
To find the roots of the equation. We will apply the general formula for quadratic equations
x = -b ± √b^2 - 4ac]/2a
from the equation,
a = 2
b = 3
c = -8
It becomes
x = [- 3 ± √3^2 - 4(2 × -8)]/2×2
x = - 3 ± √9 - 4(- 16)]/2×2
x = [- 3 ± √9 + 64]/2×2
x = [- 3 ± √73]/4
x = [- 3 ± 8.544]/4
x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4
x = 5.544/4 or - 11.544/4
x = 1.386 or x = - 2.886
The positive solution is 1.39 rounded up to the nearest hundredth
Answer:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
<span>the graph that represents the compound inequality –3
< n < 1 is the straight line from -3 to 1 in which there is a hollow
circle in the -3 point and in the 1 point. This is because < means that the
possible values of n is only greater than -3 exluding -3 and less than -1
excluding -1</span>
Answer:
Equivalent expression for n x a = a+ a+a+a....n times
Step-by-step explanation:
Given: Expression for n x a .
To find : Write an equivalent expression for n x a using only addition.
Solution : We have given that n x a .
Here, we can say Sum of a is n times.
We can rewrite it n x a = a+ a+a+a....n times.
Example : 3 x 2 = 2 +2+ 2.
6 = 6 ( true)
Therefore , equivalent expression for n x a = a+ a+a+a....n times.
Answer:
Step-by-step explanation:
(4a³b² )* (3a⁶b⁵) = 4*3 *a⁽³⁺⁶⁾ * b⁽²⁺⁵⁾
= 12a⁹b⁷
