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3 years ago

Select the equation of a straight line that is parallel to the line 4y = 3x + 5

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

Answer:

One equation can be y = 3/4X +2

Step-by-step explanation:

Any equation that has a slope of 3/4 will be parallel to the line 4Y = 3X + 5 because the slope is the same. This can also be shown visually using any graphing calculator.

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Evaluate the piecewise function at the indicated values from the domain:

lidiya [134]

In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at $x = 0$

We have to look at the definition, and see which definition includes $x = 0$ . The equal sign at $x = 0$ is on the second definition, that is:

$f(x) = 1, 0 \leq x < 2$

Thus, at $x = 0$ , the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003

7 0

3 years ago

The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 20

drek231 [11]

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, $P=P_0e^{bt}$

where, $P_0$ and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

$9600=P_0e^{b\times 0}$

So, $P_0=9600$

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

$18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\$

$\ln(23/12}=6b \\\\$

$b = \frac{\ln{1.92}}{6} \\\\$

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

$P=9600 \times e^{0.109\times t}$

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

$P=9600 \times e^{0.109\times 15}=49243$

Hence, the population of the rabbit in 2009 is 49243.

7 0

3 years ago

No jokes bro ____________________________________

sladkih [1.3K]

Answer:

1102.5

Step-by-step explanation:

you multiply 45 and 3.5 = 157.7 then you multiply 157.7 and 7 and I got 1102.5

3 0

3 years ago

Read 2 more answers

73 is 20% of what number?

Tamiku [17]

20% = 73/x * 100%

20%/100% = 73/x 

0.20 = 73/x 

x = 73/0.20 

x = 365

8 0

3 years ago

Read 2 more answers

The sum of 2 numbers is 150.One number is 12 more than the other number.What is the smaller number?

anygoal [31]

The smaller number is 63 I think.

I think this because 150/2 is 75

75-12=63

the small number would be 63

the larger number just in case u need it btw is 87 I think

hope this helps

7 0

3 years ago

Read 2 more answers