A number has exactly eight factors. Two of the factors are 10 and 14 . what is the number, and what are all of the factors?

6. NO CALCULATOR (except for checking) [VIPP #5] Solve the linear equation. Write solutions in set notation or in sentence form.

GrogVix [38]

Answer:

X_2

Step-by-step explanation:

X_2/5+2X+1/2= 12x_1/10

6 0

2 years ago

Choose all that give the correct effect on the linear graph of the parent function ƒ(x).

Nataliya [291]

Answer: since the parent function is f(x), then i think....

f(x) + 5 is the shifted 5 units up of f(x)

then the first answer is correct

f(x - 8) is 8 shifted 8 units right of f(x)

then the second answer is wrong,

f(x) is replaced by 4f(x) means it stretched vertically by a factor of 4

the the third answer is correct

f(x) is replaced with f(3x) compressed horizontally by a scale factor of 1/3

then the fourth answer is correct

Step-by-step explanation: i hope this makes since and sorry if it doesn't so the first is correct, second is wrong, third is correct, and fourth is also correct. and no there well be no links. (sorry if you do want links)

and maybe a brainliest

3 0

2 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: