3+x-2/x-3<span>≤4 Subtract on first side
1+x/x-3</span>≤4 Take -3 to the first side
-2+x/x<span>≤4 Take x to the second side
-2/2x</span><span>≤4 x=-1 if 2x=-2
1</span><span>≤4 X=1</span>
You would convert the mixed numbers into improper fractions because then you have it in an easier place to solve. You can easily solve by multiplying the numerators and then the denominators. Multiplying mixed numbers have a few extra steps then multiply improper fractions.
(if this is wrong I'm sorry. I've answered to the best of my ability)
To find the transformation of a function, we need to know the basic parameters in the transformation, namely, a, h and k.
For a transformation from f(x) to g(x), given by
g(x)=a*f(x-h)+k
h = horizontal translation (to the right)
k=vertical translation (upwards)
For a>0,
0<a<1 = a vertical shrink by a scale factor of a.
a=1 no vertical stretch nor shrink
1<a = vertical stretch by a scale factor of a.
a<0 implies a reflection about the x-axis PLUS the same stretch/shrink as described above replacing a by |a|.
For the given case
g(x)=-2log(x-1) where f(x)=log(x), then
g(x)=(-2) log (x-1) +0
implying that a=-2, h=1, k=0
meaning there is a reflection about the x-axis, with a vertical stretch factor of |a|=|-2|=2, a horizontal translation to the right of h=1 and a vertical translation of k=0. This are the three transformations that you can select from the given list, neglecting k=0 which means no vertical translation.
In statistics, the 68–95–99.7 rule, also known as the three-sigma rule or empirical rule, states that nearly all values lie within three standard deviations of the mean in a normal distribution.
About 68.27% of the values lie within one standard deviation of the mean. Similarly, about 95.45% of the values lie within two standard deviations of the mean. Nearly all (99.73%) of the values lie within three standard deviations of the mean.
In mathematical notation, these facts can be expressed as follows, where x is an observation from a normally distributed random variable, μ is the mean of the distribution, and σ is its standard deviation:
P( μ – σ ≤ x ≤ μ + σ ) ≈ 0.6827
P( μ –2σ ≤ x ≤ μ + 2σ ) ≈ 0.9545
P( μ –3σ ≤ x ≤ μ + 3σ ) ≈ 0.9973
So here A = μ – σ = 78.7 – 3.5 = 75.2 (answer
300'00 I think ummm it's right
