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Aliun [14]
3 years ago
8

For questions 1 - 2, use the following functions:

Mathematics
2 answers:
RSB [31]3 years ago
8 0

Answer:

1.(f+g)(x)=5x-11

2.(f-g)(x)=x-3

Step-by-step explanation:

1.(f+g)(x)=f(x)+g(x)

=(3x-7)+(2x-4)

=5x-11

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

=(3x-7)-(2x-4)

=3x-7-2x+4

=x-3

natita [175]3 years ago
4 0

Answer:

fx+gx=5x-11

fx-gx=x-3

Step-by-step explanation:

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Researchers recorded that a certain bacteria population declined from 800,000 to 500,000 in 6 hours after the administration of
kupik [55]

Answer:

We can assume that the decline in the population is an exponential decay.

An exponential decay can be written as:

P(t) = A*b^t

Where A is the initial population, b is the base and t is the variable, in this case, number of hours.

We know that: A = 800,000.

P(t) = 800,000*b^t

And we know that after 6 hours, the popuation was 500,000:

p(6h) = 500,000 = 800,000*b^6

then we have that:

b^6 = 500,000/800,000 = 5/8

b = (5/8)^(1/6) = 0.925

Then our equation is:

P(t) = 800,000*0.925^t

Now, the population after 24 hours will be:

P(24) = 800,000*0.925^24 = 123,166

5 0
2 years ago
Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon
alekssr [168]

Using a calculator, the correlation coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.

<h3>What is a correlation coefficient?</h3>

  • It is an index that measures correlation between two variables, assuming values between -1 and 1.
  • If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
  • If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

Using a calculator, we insert the points (x,y) to find the coefficient. In this problem, the points are given as follows:

(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)

The coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

6 0
2 years ago
Factor -28x2-12x , thank you all for helping me answer these questions.
goldenfox [79]
<span>-28x²-12x = -4x(7x+3) the first one is answer</span>
6 0
3 years ago
Whats 5/6 + 1/2 plz i am a starter​
Firdavs [7]
In exact form it would be 4/3
3 0
3 years ago
Read 2 more answers
What is the slope of the line through the points (-3, 5) and (4, 5)?
Natasha_Volkova [10]

Answer:

Slope: 0

Step-by-step explanation:

(-3,5) (4,5)

y2-y1/x2-x1

5-5/4+3=0/7

0/7 simplifies to 0.

So the slope of the line (-3,5) (4,5) is 0.

Hope this helps! ;)

5 0
3 years ago
Read 2 more answers
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