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2 years ago

Tìm nghiệm tổng quát của các phương trình y"+2y'-3y=0

Mathematics

1 answer:

Ulleksa [173]2 years ago

7 0

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

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(4.8). (-8.16) find the slope of the line through each pair of points.

slamgirl [31]

Answer:

16-8/-8-4 = 8/-16 = 1/-2

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3 years ago

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Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earning

kherson [118]

Given:

The table of values for Fallon's earnings in terms of Donald's earnings.

To find:

The equation that best represents Fallon's earnings in terms of Donald's earnings.

Solution:

In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.

If the graph of a linear function passes through two points, then the equation of linear function is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is

$y-45=\dfrac{50-45}{43-38}(x-38)$

$y-45=\dfrac{5}{5}(x-38)$

$y-45=1(x-38)$

$y-45=x-38$

Adding 45 on both sides, we get

$y=x-38+45$

$y=x+7$

Therefore, the correct option is A.

8 0

2 years ago

10. A band Martha likes just released a new

irga5000 [103]

Answer:

Buy individual songs

Step-by-step explanation:

Considering that individual 6 songs each $0.99 will cost Martha a total of 6*$0.99=$5.94 and also individual 3 songs for $1.29 will mean he incurrs a sub-total cost of 3*1.29=$3.87

Total cost of buying 9 individual songs will be C=5.94+3.87=$9.81 which is less than the cost of the whole album. Therefore, it is recommended to buy individual songs instead of album for this case since the total cost of individual songs that the buyer is interested in is less than the total cost of an album

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2 years ago

Which equation is the inverse of 2(x - 2)^3=8(7+y)

irina1246 [14]

Answer:

$\large\boxed{y=2\pm\sqrt{28+4x}}$

Step-by-step explanation:

$2(x-2)^2=8(7+y)\\\\\text{exchange x to y, and vice versa:}\\\\2(y-2)^2=8(7+x)\\\\\text{solve for y:}\\\\2(y-2)^2=(8)(7)+(8)(x)\\\\2(y-2)^2=56+8x\qquad\text{divide both sides by 2}\\\\(y-2)^2=28+4x\iff y-2=\pm\sqrt{28+4x}\qquad\text{add 2 to both sides}\\\\y=2\pm\sqrt{28+4x}$