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3 years ago

Two exponential functions, fand g, are shown in the figure below, where g is a transformation of f.

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

Answer:

A.) g (x) = f (x) - 2

Step-by-step explanation:

The first thing we are going to do in this case is to take into account the following definition.

Translations are transformations that change the position of the graph of a function.

The general shape of the graph of a function is moved up, down, to the right or to the left.

The translations are considered rigid transformations. Now we will see how these are performed.

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

Using the definition we conclude that:

g (x) = f (x) - 4

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MArishka [77]

Answer:

m∠z= 58.7

Step-by-step explanation:

Remember, all triangles sum up to 180 degrees.

So, the equation would be: 31.3+90+m∠z= 180.

Step 1- Add to simplify.

(31.3+90)+m∠z= 180

121.3+m∠z= 180

Step 2- Subtract to both sides.

121.3+m∠z= 180

-121.3 -121.3

m∠z= 58.7

4 0

3 years ago

Does anybody know anything about simplifying rational expressions? 4x/11x

babunello [35]

All you have to do is cancel the x 4/11

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3 years ago

Marco paid $36.89 for 8.6 gallons of gas. What is the price per gallon?

Semenov [28]

36.89 total divided by the 8.6 gallons he bought = 4.2 so the price per gallon would be $4.20

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3 years ago

Read 2 more answers

In triangle RG shown below. m 63 and m 30 Which of the following is the<br> 63

Tatiana [17]

Answer:

The value of the hypotenuse is 69.77 meters.

Step-by-step explanation:

To determine, in triangle RG, the value of its hypotenuse if its sides measure 63 meters and 30 meters, the following calculation must be performed, applying the Pythagorean theorem:

63 ^ 2 + 30 ^ 2 = X ^ 2

3969 + 900 = X ^ 2

√ 4869 = X

69.77 = X

Therefore, the value of the hypotenuse is 69.77 meters.

7 0

3 years ago

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati

Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 263, \sigma = 14$