2 years ago

Evaluate x(y+3)/(3+y)z for x=12, y=1, and z=6. A) 2 B) 5 C) 8 D) 6

Mathematics

2 answers:

fgiga [73]2 years ago

5 0

Answer:

Step-by-step explanation:

We take the equation

$x(y+3)/(3+y)z$

and substitute the values for each individual variable in the problem. It looks like this:

$12(1+3)/(3+1)6$

Now we can solve the equation.

When solved, it equals 2.

alexandr402 [8]2 years ago

3 0

The answer is number 2

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3 years ago

3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e

Stells [14]

Answer:

$y=2e^{sin(x)}$

Step-by-step explanation:

Given equation can be re written as

$\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c$ ............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

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Thus equation (i) becomes

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7 0

2 years ago

L.c.m of 84 ,27,35,45 <br>please help

den301095 [7]

Answer:

3780

Step-by-step explanation:

84 = 2^2 * 3 * 7

27 = 3^3

35 = 5 * 7

45 = 3^2 * 5

lcm = 2^2 * 3^3 * 5 * 7 = 3780

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2 years ago

Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16

AleksandrR [38]

Answer:

$(f\cdot g)(x)=\dfrac{7x-21}{x+4}$

Step-by-step explanation:

$(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}$

7 0

3 years ago