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DanielleElmas [232]
3 years ago
12

Plsss help i need it asap!!!

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

C) 7 and 3

Step-by-step explanation:

2x+4+8x-10=x²+15

10x-6=x²+15

0=x²-10x+21

0=(x-3)(x-7)

x=3 and 7

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Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral
MAVERICK [17]

Answer:

a. \frac {2} {s-1} converges to s> 1.

b. \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. - \frac {2}{s + 3} converges to s> - 3.

d. \frac {s}{s^2 + 25} converges to s> 0.

e. \frac {10} {s^2 + 1} converges even s> 0.

f. \frac {12}{s^2 + 4} converges to s> 0.

g. -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. \frac {1} {s ^ 2 + 4} converges to s> 0.

Step-by-step explanation:

a. L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1} converges to s> 1.

b. L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3} converges to s> - 3.

d. L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25} converges to s> 0.

e. L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1} converges even s> 0.

f. L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4} converges to s> 0.

g. L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4} converges to s> 0.

7 0
3 years ago
Amelia rented a DVD and it was due to be returned on 26 Nov. She actually returned it to the shop on 12 Dec. The rental shop app
svet-max [94.6K]

Answer:

144 (pounds? euros? idk what currency it is)

Step-by-step explanation:

there are 16 day between the date. 16 x 9 = 144

6 1
3 years ago
Read 2 more answers
How much honey does a beekeeper take from the hive
juin [17]
A milllion probably like 1 million
7 0
3 years ago
Read 2 more answers
Help please? If you could answer both A and B that’d be great, but you can do only one if you want.
kati45 [8]

For a, this is just the median and the range of the data. Median is the middle number after all of them are in order, and the range is the highest number minus the smallest number.

If we arrange them all in order:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15

The middle ones are 8 and 9, because there is an even number of results. That means the median is 8.5.

The range is 15 - 2, which is 13.

For b, 21 is an outlier because it is outside the set of movies watched. If 21 was a value in the table, that means that the order is:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15, 21

Meaning that the middle value is now 9 (because of the odd number of values) and the range is 21 - 2, which is 19. The range would increase because the 21 is greater than all the other values (outlier), so the highest number is now 21. The median would also increase because you added a higher number to the list of numbers, so that the middle would shift one place higher.

Hope I helped!

5 0
3 years ago
The regression equation y = -0.414x + 106.55 approximates the percent of people in an
murzikaleks [220]

The correct option will be:   A. 67%

<em><u>Explanation</u></em>

Given equation is:   y = -0.414x + 106.55 , where x is the length of the film in minutes and y is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will <u>plug x=95 into the above equation</u> and get....

y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67

<em>(Rounded to the nearest percent)</em>

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

4 0
3 years ago
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