Answer:
Domain : D{-∞,∞} the reals.
Step-by-step explanation:
The function is plotted in the image.
[tex] f(x) = -3.15 * x + 723.45 [tex]
the linear functions usually have a domain from - infinite to infinite, the domain when is a piece wise function or discontinuous, the domain is defined in the pieces where is defined.
In this case there is no restriction so the function is continuous.
Answer:
12 Newtons
Step-by-step explanation:
We can use Newton’s Second Law to find the mass first.
F = ma
9 = 3m
mass = 3
Substitute this into the second equation.
F = ma
F = 3(4)
F = 12N
Hope this helps! :D
Using a calculator, it is found that the correlation coefficient for this data is given by:
B. -0.901.
<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.
To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:
r² = -0.901.
Which means that option B is correct.
More can be learned about correlation coefficients at brainly.com/question/25815006
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The constant of proportionality is 45
I can’t help you with the second Q but,
The third is 45h= m
Answer:
Hari is 20; Harry is 28
Step-by-step explanation:
The ratio in 4 years is equivalent to the ratio 6:8, which has each of the original ratio unit numbers increased by 1. That means each of those ratio units stands for 4 years, and the present ages are ...
Hari: 5·4 = 20
Harry: 7·4 = 28
_____
<em>Conventional method of solution</em>
If you like, you can write equations for the ages of Hari (x) and Harry (y):
x/y = 5/7
(x+4)/(y+4) = 3/4
These can be solved a variety of ways. For some methods, it may be useful to write them in standard form:
These have solution (x, y) = (20, 28).
