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3 years ago

What is the simplified expression for

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

4 0

Use FOIL.

-3(2x - y) + 2y + 2(2x - y)
-6x + 3y + 2y + 4x - 2y
Simplify.
-6x + 5y + 4x - 2y
-2x + 5y - 2y
-2x + 3y <-------------Answer

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3. A wall is 12 feet high. If its area is 132 sq ft, what is its

dalvyx [7]

B. 46 feet because 132/12=11 and 12+12+11+11=46

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3 years ago

Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6

horsena [70]

Answer:

$x^{4} -18x^{3}+104x^{2} -172x-100$

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:

$\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))( x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\$

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3 years ago

Functions please helpp

rodikova [14]

Answer:

<em>Functions:</em>

3. The chart with arrows

4. The graph

<em>Not Functions:</em>

1. (1,1), (2,2), (3,3), (1,4)

2. (1,17), (0,16), (0,15), (-2,17)

Step-by-step explanation:

Functions do not have repeating domains (x-coordinates).

Hope it helps!

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3 years ago

2. The cost of one pizza rose from $8.95

kifflom [539]

Answer:

0.15

Step-by-step explanation:

9.70-8.95= 0.75

0.75÷5= 0.15

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3 years ago

How long drive 450 miles, driving 60 mph?

Rama09 [41]

dive the number of miles by the speed

so 450/60 = 7.5 hours

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3 years ago