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4 years ago

Hilida spent 47$ and know has no money left she had blink before her purchase

Mathematics

1 answer:

Bas_tet [7]4 years ago

8 0

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

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Dy/dx= y^4 and y(2)= -1. Y(-1)=

cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

$\dfrac{dy}{dx} = y^4$

and with initial condition y(2) = -1.

The differential equation is separable:

$\dfrac{dy}{y^4} = dx$

Integrate both sides:

$\displaystyle \int \frac{dy}{y^4} = \int dx$

$-\dfrac1{3y^3} = x + C$

Solve for y :

$\dfrac1{3y^3} = -x + C$

$3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}$

$y^3 = -\dfrac1{3x+C}$

$y = -\dfrac1{\sqrt[3]{3x+C}}$

Use the initial condition to solve for C :

$y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5$

Then the particular solution to the differential equation is

$y(x) = -\dfrac1{\sqrt[3]{3x-5}}$

and so

$y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}$

6 0

3 years ago

What to fractions equal 1/3

makkiz [27]

Answer:

2/6 and 3/ 9 just multiply by whatever on both sides

Step-by-step explanation:

3 0

3 years ago

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Write a rule for the linear function .

KatRina [158]

Answer:

Step-by-step explanation:

change in y for each change in x:-2

y-intercept: 6

3 0

4 years ago

What is 1 2/3 as an improper fraction

nataly862011 [7]

Hi there! To turn a mixed number into a improper fraction we multiply 1 by 3 and add 2. 1 2/3=1×3+2/3=5/3. Therefore, 1 2/3 as an improper fraction is 5/3.

6 0

4 years ago

Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+

QveST [7]

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

5 0

3 years ago

Hilida spent 47$ and know has no money left she had blink before her purchase​

Hilida spent 47$ and know has no money left she had blink before her purchase