Complete the following statements

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

ANSWER

See explanation.

EXPLANATION

The given expression is

$y = {x}^{2} + 5$

The parent function is

$y = {x}^{2}$

We can see that the transformation is of the form:

$y = {x}^{2} + k$

This is a vertical upward shift of the parent function by k units.

The graph of y=x^2+5 can be obtained from the graph y=x^2 by shifting the graph of y=x^2 up by 5 units.

b) The graph of y= 10x^2 can be obtained from the graph y=x^2 by stretching vertically the graph of y=x^2 by a factor of 10.

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In a population of 400,000 people, 160,000 are infected with a virus. After a person becomes infected and then recovers, the per

Margarita [4]

Answer:

Number of people that will be infected in 4 years is 252,610.

Step-by-step explanation:

The number of people that will be infected in 4 years can be calculated as follows:

Number of people that will be infected in year 1 = 160,000

Number of people that will not be infected in year 1 = 400,000 - 160,000 = 240,000

Number of people that will be infected in year 2 = Number of people that will not be infected in year 1 * 15% = 240,000 * 15% = 36,000

Number of people that will not be infected in year 2 = Number of people that will not be infected in year 1 - Number of people that will be infected in year 2 = 240,000 - 36,000 = 204,000

Number of people that will be infected in year 3 = Number of people that will not be infected in year 2 * 15% = 204,000 * 15% = 30,600

Number of people that will not be infected in year 3 = Number of people that will not be infected in year 2 - Number of people that will be infected in year 3 = 204,000 - 30,600 = 173,400

Number of people that will be infected in year 4 = Number of people that will not be infected in year 3 * 15% = 173,400 * 15% = 26,010

Therefore, we have:

Number of people that will be infected in 4 years = Number of people that will be infected in year 1 + Number of people that will be infected in year 2 + Number of people that will be infected in year 3 + Number of people that will be infected in year 4 = 160,000 + 36,000 + 30,600 + 26,010 = 252,610

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The y- intercept of this equation is 4/1=4.00000
Explanation: y tells us how far up the line goes Notice that when x = 0 the value of y is 4/1 so this line "cuts" the y axis at y= 4.00000