Let f(x)=4x2+5. The function g(x) is f(x) translated up 4 units. Enter the equation of g(x) in the box.

Mathematics

2 answers:

Zepler [3.9K]4 years ago

6 0

Al you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer

Crazy boy [7]4 years ago

3 0

Answer:

$g(x)=4x^2+9$

Step-by-step explanation:

We will use the fact that if a function f(x) is translated 'a' units up then the equation of the translated function be f(x)+a

The given function is $f(x)=4x^2+5$

Given that, the function g(x) is f(x) translated up 4 units.

Hence, we have

$g(x)=f(x)+4\\\\g(x)=4x^2+5+4\\\\g(x)=4x^2+9$

The equation of g(x) is $g(x)=4x^2+9$

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Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong

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Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

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3 years ago

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Answer:

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Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

7/20x + 2/5y = 31.00

We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

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-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

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Then the value of x is

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3 years ago