Answer:
A
Step-by-step explanation:
It's A just trust me I'm not doing the work lol
Answer:
multiply the first equation by 2
Step-by-step explanation:
24x + 36y = 72
-16x + 8y = 80
48x + 72y = 144
-48x + 24y = 240
96y = 384
y = 4
24x + 36(4) = 72
24x + 144 = 72
24x = -72
x = -3
(-3, 4)
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean =
= 297/10 = 29.7
variance =
= 289.56
SD =
= 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Answer:
Solutions of x are;
x = -7 + 8i and x = -7 -8i
Step-by-step explanation:
Given the equation: ![x^2+14x+17 = -96](https://tex.z-dn.net/?f=x%5E2%2B14x%2B17%20%3D%20-96)
Add 96 both sides we get;
![x^2+14x+17+96 = 0](https://tex.z-dn.net/?f=x%5E2%2B14x%2B17%2B96%20%3D%200)
![x^2+14x+113= 0](https://tex.z-dn.net/?f=x%5E2%2B14x%2B113%3D%200)
Using quadratic formula
then the solution is given by:
![x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
On comparing we have;
a= 1, b =14 and c =113
![x = \frac{-14\pm\sqrt{(14)^2-4(1)(113)}}{2(1)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-14%5Cpm%5Csqrt%7B%2814%29%5E2-4%281%29%28113%29%7D%7D%7B2%281%29%7D)
![x = \frac{-14\pm\sqrt{196-452}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-14%5Cpm%5Csqrt%7B196-452%7D%7D%7B2%7D)
or
![x = \frac{-14\pm\sqrt{-256}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-14%5Cpm%5Csqrt%7B-256%7D%7D%7B2%7D)
Simplify:
; where i is the imaginary, ![i^2= -1](https://tex.z-dn.net/?f=i%5E2%3D%20-1)
or
![x = -7 \pm 8i](https://tex.z-dn.net/?f=x%20%3D%20-7%20%5Cpm%208i)
Therefore, the solution of x are; x = -7 + 8i and x = -7 -8i