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Hatshy [7]
3 years ago
6

Factor the polynomial by its greatest common monomial factor. 3b^5 + 15b^4 - 18b^7 = ?

Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

3b^4

that'll give you

b+5-6b^3

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Which best describes the figure that is represented by the following coordinates?
Anastasy [175]

Answer:

a rhombus that is the answer

7 0
3 years ago
Read 2 more answers
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
3 years ago
Solve the compound inequality 7x &gt; –35 and 3x ≤ 30.
docker41 [41]

Answer:

x>-5 x ≤10

Step-by-step explanation:

-35/7=-5

7x/7=x

3x/3=x

30/3=10

5 0
2 years ago
Please help with this question ASAP!
Naddik [55]

Answer:

8w : 3.8974342 ≈ 3.9 or 4 (hope it help)

Step-by-step explanation:

1w : 2

2w : 2 + 10% = 2.2

3w : 2.2 + 10% = 2.42

4w : 2.42 + 10% = 2.662

5w : 2.662 + 10% = 2.9282

6w : 2.9282 + 10% = 3.22102

7w : 3.22102 + 10% = 3.543122

8w : 3.543122 + 10% = 3.8974342

3.8974342 ≈ 3.9 or 4

6 0
3 years ago
Find the sum and simplify
statuscvo [17]

<u>Answer</u>:

[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

option c). is correct.

<u>Step-by-step explanation</u>:

( x + 1 ) / ( x + 2 ) + ( x - 1 ) / ( x - 3 )

= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( x^2 - 3 x + x - 3 + x^2 + 2 x - x - 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

Hence we get required answer!

6 0
2 years ago
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