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Fiesta28 [93]
3 years ago
14

A square root function, that is stretched by a factor of 3, and shifted 4 units left and 6 units up.

Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

The square root function will turn to;

y = 3 √(x + 4) + 6

Step-by-step explanation:

Let the square root function be ;

y = √x

Now, let’s stretch this by a factor of 3

This means we are dilating by a factor of 3

Mathematically, this will be

y = 3 * √x = 3 √x

Shifting this 4 units up means that we are extending the x-axis value by 4 units

That will be ;

y = 3 √x + 4)

Now shifting this 6 units up, we finally will have;

y = 3 √(x + 4) + 6

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The formula in finding the sum or the total measure of the interior angles of polygon having n sides is:

Sum of interior angles = (n – 2) 180

Where n = number of sides of the polygon

In this problem, you are asked for the sum of the interior angles of a 17 sided polygon. You have to substitute the number of sides to the formula:

Sum of interior angles = (17 – 2) 180

Sum of interior angles = (15) 180

Sum of interior angles = 2,700 degrees

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A stove costs $695 will be on sale next week for 20% off its regular price. What is the amount of savings
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Answer:

It would be 139$

Step-by-step explanation:

In order to find a percent of a value you first move the decimal place over 2 to the left or divide by 100(percentage is no longer there). In this case it would be .20. You multiply that with the total number(695) and the product is your answer.

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3 years ago
Evaluate the following expression:
Molodets [167]

Answer:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury, and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury were heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Step-by-step explanation:

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Answer:

The number of expected people at the concert is 8,500 people

Step-by-step explanation:

In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.

We proceed as follows;

The probability that it will rain is 30% or 0:3

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Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.

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Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)

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