Let the number of minutes be m
29 + 0.04m ≥ 72.36
0.04m ≥ 72.36 - 29
0.04m ≥ 43.36
m ≥ 1084 minutes
Answer:
Step-by-step explanation:
The standard deviation (SD) can be defined as a entity that measures the amount of dispersion for a set of data from the mean, while the standard error of the mean (SEM) measures the magnitude of deviation of the sample mean of the data from the true population mean.
[8/(2x-2)=(8+6)/(3x)
8/(2x-2)=14/(3x)
14(2x-2)=8(3x)
28x-28=24x
x=7
So by using the similarity of the sides, we can make ratios that can give is the value of x.<span />
Answer:
x=-9,y=-4
Step-by-step explanation:
2x-3y=-6...(1)
-2x-2y=26...(2)
To solve we will have to eliminate one of the given variables, the variable to be eliminated is x
And it can be done by adding up (1) and (2)
It gives
-5y=20
Divide both sides by-5
y=-4
Then substitute the value of y into (1)
2x-3(-4)=-6
2x+12=-6
Substrate 12 from both sides
2x=-18
Divide both sides by 2
x=-9
Therefore x gives -9 and y gives-4
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
