The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed

Mathematics

2 answers:

Slav-nsk [51]3 years ago

8 0

Answer:

y=e^x+3.

Step-by-step explanation:

Korolek [52]3 years ago

6 0

y=e^x+3.

The given graph of the function y = e^x

he transformation occur when we add c to the parent function y = e^x giving us a vertical shift c unit in the same direction as the sign.

The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.

The given parent function: y = e^x,

we can now graph the vertical shift alongside i.e, c=3

Then, the upward shift function is, y = e^x + c

Substitute the value of c=3,

then, the transformed equation becomes, y = e^x + 3

as it goes through (0,4).

∴The equation y = e^x + 3 represents the transformed function.

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Consider the line 5x-8y=8 what is the slope of a line perpendicular to this line what is the slope of a line parallel to this li

Sophie [7]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\5x-8y=8\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-8y=-5x+8\qquad\text{divide both sides by (-8)}\\\\y=\dfrac{5}{8}x-1\to m_1=\dfrac{5}{8}\\\\perpendicular:\ m_2=-\dfrac{1}{\frac{5}{8}}=-\dfrac{8}{5}\\\\parallel:\ m_2=\dfrac{5}{8}$

8 0

3 years ago

If the distribution is really (5.43,0.54)

defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

$\mu = 5.43, \sigma = 0.54$