Answer:
Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?
5x = 6x^2 – 3
Subtract 5x from both sides:
0 = 6x^2 – 5x – 3
a = 6, b = -5, c = -3
x = (-b ± √(b^2 - 4ac))/(2a)
x = (-(-5) ± √((-5)^2 - 4(6)(-3)))/(2(6))
x = (5 ± √(25 + 72))/12
x = (5 ± √(97))/12
Step-by-step explanation:
Answer:
(a) x = -0.418 , -3.581
(B) c = 6.855, -1.855
Step-by-step explanation:
(A) We have given equation 
On comparing with standard quadratic equation 
a = 2, b = 8 and c = 3
So roots of the equation will be 
(b) 
a = 1, b = -5 and c= -14
So 
Answer:
A. Simple Random Sampling
B. Cluster Sampling
C. Convenience Sampling
D. Systematic Sampling
E. Stratified Sampling
Step-by-step explanation:
Simple Random Sampling is the sampling when samples are chosen randomly, where each unit has an equal chance of being selected in a sample.
If the population is divided into a different group called cluster and clusters are selected as a sample then it is Cluster Sampling.
In Convenience sampling, observers collect the sample as his\her convenience.
In Systematic Sampling sample is chosen by some criteria like he\she is taken every 10th unit as a sample from the population.
In Stratified Sampling population is divided into several groups such that within the group it is homogeneous and between the group it is heterogeneous. And now a selection of each stratum and unit has an equal chance of selection.
Answer: -1/2
Step-by-step explanation:
Slope is change in y over change in x. Y shifts down -1, while X shifts to the right 2
If by decomposition you mean breaking it ino parts then
break it itno 2 triangles and 1 rectangle
left to right
triangle with base y and height h
h=10
y=3
area of traignel=1/2bh
aera=1/2(10)(3)
area=5(3)
area=15
rectangel of legnth x and height h
area=legnth timwe width
x=8
h=10
area=8 times 10
aera=80
last triangle
should be same as other sinces same base (y) and same height (h)
15
add
15+80+15=120
