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3 years ago

Factor if possible x/2+9x+18

Mathematics

1 answer:

Tju [1.3M]3 years ago

8 0

Answer:

3) (x+6)(x+3)=0

4) (x+2)(x-6)=0

Step-by-step explanation:

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Domain and range for y=2+x^2

olga nikolaevna [1]

The domain is the x-axis, and the range is the y values. The domain would be
-∞ to ∞. And the range is 2 to ∞.

7 0

3 years ago

I was charged .88 cents in tax whats the sales tax rate

nikdorinn [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

schepotkina [342]

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h = 98

h = 98 / (1/3 π (5.13)^2)

= 98 / 27.55899

= 3.556.

3 0

3 years ago

Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg

n200080 [17]

$\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k$

is conservative if there is a scalar function $f(x,y,z)$ such that $\nabla f=\vec F$ . This would require

$\dfrac{\partial f}{\partial x}=y$

$\dfrac{\partial f}{\partial y}=x$

$\dfrac{\partial f}{\partial z}=3$

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

$f(x,y,z)=xy+g(y,z)$

$\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$f(x,y,z)=xy+h(z)$

$\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C$

$f(x,y,z)=xy+3z+C$

so $\vec F$ is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

$\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r$

$=f(5,7,-2)-f(1,2,3)=\boxed{18}$

8 0

3 years ago

10n -11 =3 + 4n + 6n

MrRissso [65]

Answer:

10n -11 =3 + 4n + 6n

10n - 10n -11 =3-3 + 4n + 6n

-11 - 3 = -10n + 4n + 6n

-14= -10n + 10n

-14 = n

Step-by-step explanation:

10n -11 =3 + 4n + 6n

10n - 10n -11 =3-3 + 4n + 6n

-11 - 3 = -10n + 4n + 6n

-14= -10n + 10n

-14 = n

3 0

3 years ago