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Novosadov [1.4K]
2 years ago
12

A polynomial expression is shown below.

Mathematics
1 answer:
tester [92]2 years ago
3 0
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m

 (mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>=  8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally

</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
</span>
C:  m=4

<span>4. When the expression is factored x²-3x-18 completely, 
</span>
one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)

</span>
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Arte-miy333 [17]

Answer:

y = 20 4^{x}

Step-by-step explanation:

Use the points to find the values of a and b

Using (0, 20 ) , then

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y = 20b^{x}

Using (3, 1280 ) , then

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12)113

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5 0
2 years ago
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for 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6
kumpel [21]
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Answer:

base = x^4 - 3x^3+11x-4

Step-by-step explanation:

An isosceles triangle has 2 sides of equal length (a) and base (b)

⇒ perimeter of an isosceles = 2a + b

Given:

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\implies \textsf{perimeter}=2a+b

\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b

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Therefore, base = x^4 - 3x^3+11x-4

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2 years ago
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