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3 years ago

Solve this equation 3x-√6y=3

Mathematics

1 answer:

Hunter-Best [27]3 years ago

3 0

Answer:

Step-by-step explanation:

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Rewrite in slope-intercept form.

Tap for more steps...

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Using the slope-intercept form, the y-intercept is

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Using the slope-intercept form, the slope is

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uincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radica

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Answer: according to spark notes: There can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

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3 years ago

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The cost of a new laptop is $750 which generates a sales tax amount of 37.50. What is the sales tax rate.

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Answer:

5 percent.

Step-by-step explanation:

Divide tax by the cost to see the percentage of the tax.

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3 years ago

A triangular prism has a volume of 2500 cubic feet. What is the length of the prism if its triangular bases are right triangles,

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Answer:

25 ft

Step-by-step explanation:

V = AH, where A = area of the base, and H = height (length) of the prism

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2 years ago

Classify each number as an integer or a not integer<br><br>

galina1969 [7]

Answer:

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Step-by-step explanation:

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2 years ago

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Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

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3 years ago

Solve this equation 3x-√6y=3​

Solve this equation 3x-√6y=3