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padilas [110]
2 years ago
7

How do I graph x+3y≥12?

Mathematics
1 answer:
tester [92]2 years ago
6 0
Here is the graph for the equation

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When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
What is an equation of the line that passes through the point(-1,-3) and is perpendicularly to the line x-2y=14
Nitella [24]

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

8 0
2 years ago
Read 2 more answers
A florist had 88 flowers. She wanted to put
EastWind [94]

Answer:

2 (Remainder 4) In decimal form to the hundredths: 2.09

Step-by-step explanation:

<h3>42 can only go into 88 two times, so 42 x 2 = 84. So then 2 is your answer. BUT you have 4 left, so it's 2 remainder 4. If you want to round to the tenths, hundredths, ect, here is the original decimated number: 2.09523809524</h3>
4 0
2 years ago
Which is the equivalent decimal form of 4 1/7
Gwar [14]
First, make it an improper fraction, 7x4 is 28. 28+1 is 29. So the improper fraction is 29/7. Then, divide 29 by 7. The answer is 4.14 rounded to the tenths place.
8 0
2 years ago
Suppose that a sample mean is .29 with a lower bound of a confidence interval of .24. What is the upper bound of the confidence
Ganezh [65]

Answer:

The upper bound of the confidence interval is 0.34

Step-by-step explanation:

Here in this question, we want to calculate the upper bound of the confidence interval.

We start by calculating the margin of error.

Mathematically, the margin of error = 0.29 -0.24 = 0.05

So to get the upper bound of the confidence interval, we simply add this margin of error to the mean

That would be 0.05 + 0.29 = 0.34

3 0
3 years ago
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