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3 years ago

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

Mathematics

2 answers:

spin [16.1K]3 years ago

3 0

Answer:

The answer is the third option

kogti [31]3 years ago

3 0

Answer:

(3–7x²)(x–3)

Step-by-step explanation:

If you apply the distributive property in (3–7x²)(x–3), you obtain:

3x-9-7x²(x)+21x²

3x-9-7x³+21x²

When you order the expression, you have:

-7x³+21x²+3x-9

Then, the answer is (3–7x²)(x–3)

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Is 5361 divisible by three how do you know just by looking at it

sleet_krkn [62]

Answer:

Yes!

Step-by-step explanation:

Here is a trick. If you add up all of the numbers in the number, and if that is divisible by three, the number is divisible by three. So...

5+3+6+1=15

15 is divisible by 3,

so 5361 is divisible by 3

(if you wanted to know, it is 1787)

8 0

3 years ago

The daytime high temperature on the moon can reach 130°C. The nighttime low temperature can get as low as −110°C. What is the di

maks197457 [2]

Answer:

240

Step-by-step explanation:

remember that to get from positive to negative you have to go from positive to 0 then to negative .

however the easiest way of solving this is

add both the values , ignore the sign

130 + 110

the difference in the temperature is :

= 240 degrees

7 0

3 years ago

Stanley is having trouble understanding how to find the GCF

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

All the factors of 8 and 16 are 1;2;4;8

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

Can anyone help? 25 points

damaskus [11]

Answer:

w>-5/12

Step-by-step explanation:

w > 1/3 - 3/4 = 4/ 12 - 9/ 12

w> -5/12

7 0

4 years ago

Read 2 more answers