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2 years ago

What does ⅔ X 15 = equal

Mathematics

2 answers:

Gala2k [10]2 years ago

4 0

Answer:

$\frac{2}{3} \times \frac{15}{1}$

2×15

30/3

Dovator [93]2 years ago

3 0

Answer:

2/3 multiplied by 15 is equal to 10.

Step-by-step explanation:

To solve this problem, we multiply the denominator by the denominator and the numerator by the numerator.

$\frac{2}{3} * \frac{15}{1} = \frac{30}{3} = 10$

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Answer:

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Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators

Nata [24]

Answer:

The solution is $y=-\frac{12}{12x-30x^2+1}$ .

Step-by-step explanation:

A first order differential equation $y'=f(x,y)$ is called a separable equation if the function $f(x,y)$ can be factored into the product of two functions of $x$ and $y$ :

$f(x,y)=p(x)h(y)$

where $p(x)$ and $h(y)$ are continuous functions.

We have the following differential equation

$y'=(1-5x)y^2, \quad y(0)=-12$

In the given case $p(x)=1-5x$ and $h(y)=y^2$ .

We divide the equation by $h(y)$ and move $dx$ to the right side:

$\frac{1}{y^2}dy\:=(1-5x)dx$

Next, integrate both sides:

$\int \frac{1}{y^2}dy\:=\int(1-5x)dx\\\\-\frac{1}{y}=x-\frac{5x^2}{2}+C$

Now, we solve for $y$

$-\frac{1}{y}=x-\frac{5x^2}{2}+C\\-\frac{1}{y}\cdot \:2y=x\cdot \:2y-\frac{5x^2}{2}\cdot \:2y+C\cdot \:2y\\-2=2yx-5yx^2+2Cy\\y\left(2x-5x^2+2C\right)=-2\\\\y=-\frac{2}{2x-5x^2+2C}$

We use the initial condition $y(0)=-12$ to find the value of C.

$-12=-\frac{2}{2\left(0\right)-5\left(0\right)^2+2C}\\-12=-\frac{1}{c}\\c=\frac{1}{12}$

Therefore,

$y=-\frac{2}{2x-5x^2+2(\frac{1}{12})}\\y=-\frac{12}{12x-30x^2+1}$

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2 years ago

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larisa86 [58]

C. f(x)=2/3x-2

<h2>Explanation:</h2>

Looking at the graph we realize that the y-intercept is given by:

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The Slope-intercept form of the equation of a line is given by:

$y=mx+b$

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$y=mx-2$

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