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Stells [14]
1 year ago
12

(X-1)(x+6) use the foil method to find the given product

Mathematics
1 answer:
Fofino [41]1 year ago
5 0

With the foil method, we choose to multiply the terms with the rule First Outer Inner Last.

In this case, we have the following expression:

(x-1)(x+6)

then, the following products can be calculated with the FOIL rule:

\begin{gathered} First:x(x)=x² \\ Outer:x(6)=6x \\ Inner:-1(x)=-x \\ Last:-1(6)=-6 \end{gathered}

then, the complete expression is:

x²+6x-x-6=x²+5x-6

therefore, the product is x²+5x-6

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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y
Mumz [18]

Answer:

\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})

Step-by-step explanation:

The question is poorly formatted.

Given

\sqrt[3]{2y^3} * 7\sqrt{18y}

Required

Derive an equivalent expression

\sqrt[3]{2y^3} * 7\sqrt{18y}

Express 18 as 9 * 2

\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}

Split the expression as follows:

\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}

Take positive square root of 9

\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}

\sqrt[3]{2y^3} * 21 * \sqrt{2y}

21*\sqrt[3]{2y^3} *  \sqrt{2y}

The cube root can be rewritten to give:

21*\sqrt[3]{2}*\sqrt[3]{y^3} *  \sqrt{2y}

\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y

So, we have:

21*\sqrt[3]{2} * y *  \sqrt{2y}

Rewrite as:

21y *\sqrt[3]{2}  *  \sqrt{2y}

Split \sqrt{2y

21y *\sqrt[3]{2}  *  \sqrt{2} * \sqrt{y}

Collect Like Terms

21y*\sqrt{y} *\sqrt[3]{2}  *  \sqrt{2}

Represent in index form

21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}

Apply law of indices

21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }

21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}

21*y^{\frac{3}{2}} *2^{\frac{5}{6}}

21(y^{\frac{3}{2}})(2^{\frac{5}{6}})

Hence:

\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})

6 0
3 years ago
Solve the system of linear equations using any method 6x+6y=-6, 5x+y=-13
Sergio [31]

Answer:

x=-3

y=2

Step-by-step explanation:

To solve this problem you can use the elimination method:

- Multiply the second equation by -6:

(-6)5x+y=-13\\-30x-6y=78

- Add both equations:

6x+6y=-6\\-30x-6y=78\\-------\\-24x=72\\x=-3

- Substitute the value of x into one of the original equations and solve for y:

6(-3)+6y=-6\\-18+6y=-6\\6y=12\\y=2

8 0
3 years ago
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6. Spiderman is three times as old as Superman.
anyanavicka [17]
Spider-Man 120
Superman 40
7 0
3 years ago
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How do you find the other angle of an alternate interior angle if one angle is 70
Elena L [17]
Well alternate angles are congruent, so that means they would both have the same measurement.
If you’re talking about equations with an angle then make the equations equal each other and solve. :)
4 0
3 years ago
Plz help me I begg plzzzzz
Damm [24]

I hope this helps you

6 0
3 years ago
Read 2 more answers
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