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____ [38]
3 years ago
8

Can somebody step by step explain how to solve this problem?? (3x^2y)(-7xy^3)

Mathematics
2 answers:
azamat3 years ago
6 0

Answer:

-21 · x³ · y^4

Step-by-step explanation:

Let's do this multiplication in 3 parts:

3(-7) = -21, and:

x2 · x = x³, and:

y · y³ = y^4

Multiplying these three factors together results in   -21 · x³ · y^4

charle [14.2K]3 years ago
5 0

Answer:

\boxed{\bold{-21x^3y^4}}

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

\bold{-3x^2y\cdot \:7xy^3}

[ Step Two ] Multiply: \bold{3\cdot \:7=21}

\bold{-21x^2xy^3y}

[ Step Three ] Apply Exponent Rule \bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^2x=\:x^{2+1}=\:x^3}

\bold{-21x^3y^3y}

[ Step Four ] Apply Exponent Rule: \bold{y^3y=\:y^{1+3}=\:y^4}

\bold{-21x^3y^4}

[ \boxed{\bold{Final \ Answer}} ]

➤ \bold{-21x^3y^4}

\boxed{\bold{Mordancy}}

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The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex
melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0
3 years ago
3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct? ​
likoan [24]

Answer:

You cant, because Ben is WRONG, unless you made a typo while writing the question

Step-by-step explanation:

If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.

Hope this helped! If it did, please mark it brainliest! It would help a lot! :D

6 0
3 years ago
-w + 4(w+3) = -12<br><br> Please help
Ivahew [28]
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4 0
3 years ago
Read 2 more answers
you run 1 mile in 8 minutes at a constant speed. How far do you run in 1 minute? write an equation to represent how far you can
Montano1993 [528]

Answer:

0.125

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Step-by-step explanation:

First divide 1 mile by 8 minutes

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Then you simply show 0.125 * x (x being the number you insert to find the distance) = How far you ran

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Finally you insert 11 for x and multiply to find the distance

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Answer:

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