2 years ago

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it?

2 answers:

8 0

You need to rename 4 1/4 to an improper fraction when subtracting 3/4 from it because the numerator is 1 and 3 > 1 so you will have to rename it

borishaifa [10]2 years ago

8 0

Because if you take away the 4 wholes tge question would be 1/4 minus 3/4 and you cant do that

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Read 2 more answers

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

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2 years ago

Find the product of -9 and -3.

MAXImum [283]

The answer is -9(-3)= 27

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2 years ago