All categories

3 years ago

Simplify each expression 4+8(-2n+3)

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

28 -16n

Step-by-step explanation:

Use the distributive property, then collect terms.

4 +8(-2n +3)

= 4 +8(-2n) +8(3)

= 4 -16n +24

= 28 -16n

_____

This could also be written

-16n +28

but then the leading sign would be negative. Sometimes leading minus signs get lost, so I prefer the first term to be positive.

You might be interested in

Please help I will mark you brainliest

ddd [48]

Kbivivivogxoyxoycoycoycoycoycoycoycoyco

8 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

Find the midpoint (6,3) and (14,9)

scoray [572]

Answer:

(10,6)

Step-by-step explanation:

The equation you would use to solve this is (x1+x2/2 , y1+y2/2) so when you plug in the numbers you get this (6+14/2 , 3+9/2) which eventually simplifies into (10, 6)

3 0

3 years ago

3/7 of which is 2 1/14

GarryVolchara [31]

Step-by-step explanation:

the answer is 14

3/7 • 2 1/14

=14

5 0

3 years ago

Find the value of z.

balandron [24]