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3 years ago

What is one point that lies in the solution set of the system of inequalities graphed below?

Mathematics

1 answer:

Lunna [17]3 years ago

8 0

Answer:

(7, 0).

Step-by-step explanation:

Where the diagonal lines overlap to form squares is where the solutions to the inequality lies.

The point (7, 0) lies in that region.

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Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54

telo118 [61]

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

A. 6x – 30 = 54
B. 6x = 84
D. x = 14

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

A. 6x – 30 = 54
B. 6x = 84
D. x = 14

Learn more on equations here; brainly.com/question/2972832

7 0

2 years ago

Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago

ANSWER FOR BRAINLIEST AND 72 POINTS

kumpel [21]

Answer:

Step-by-step explanation:

the probability should always be the same unless the event is different.

6 0

3 years ago

The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters. Which equation correctly relate

serious [3.7K]

Answer:

the width is 2 meters

Step-by-step explanation:

10 / 5 = 2

3 0

3 years ago

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters

IgorC [24]

Answer:

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

8 0

3 years ago