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3 years ago

Write your answer in order of decreasing powers of x. (18x 5 + 6x 4 - 12x 3) ÷ 6x 2

Mathematics

2 answers:

miv72 [106K]3 years ago

8 0

$\frac{18x^5 +6x^4 - 12x^3}{6x^2} = \frac{(6x^2)(3x^3 +x^2 - 2x)}{6x^2} = 3x^3 +x^2 - 2x$

Dvinal [7]3 years ago

5 0

The answer is: " 3x³ + x² − 2x " .
________________________________________________________
Explanation:
_________________________________________________________

Take the first expression; or the "numerator" ;

and "factor out" a: " 6x² " :
___________________________________________________________

$\frac{18x^5+6x^4-12x^3}{6 x^{2} } = \frac{6x^2(3x^3+x^2-2x)}{6x^2}$ ;

→ Both " 6x² " values "cancel out to 1" ;

→ since: " { 6x² / 6x² = 1 } " ;

And we have: " 3x³ + x² <span>− 2x " .
</span>________________________________________________________

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Answer:

Step-by-step explanation:

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3 years ago

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Alex777 [14]

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3 years ago

Artemis seeks knowledge of the width of Orion's Belt, which is a pattern of stars in the Orion constellation. She has previously

Verdich [7]

Answer:

Orion's belt width is 184 light years

Step-by-step explanation:

So we want to find the distance between Alnitak and Mintaka, which is the Orions belts

Let the distance between the Alnitak and Mintaka be x,

Then applying cosine

c²=a²+b²—2•a•b•Cosθ

The triangle is formed by the 736 light-years and 915 light years

Artemis from Alnitak is

a = 736lightyear

Artemis from Mintaka is

b = 915 light year

The angle between Alnitak and Mintaka is θ=3°

Then,

Applying the cosine rule

c²=a²+b²—2•a•b•Cosθ

c² =736² + 915² - 2×, 736×915×Cos3

c² = 541,696 + 837,225 - 1,345,034.1477702404

c² = 33,886.85222975954

c = √33,886.85222975954

c = 184.0838184897 light years

c = 184.08 light years

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3 years ago

Widget Wonders produces widgets. They

navik [9.2K]

Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50

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3 years ago

Math help please I need it ASAP

statuscvo [17]

Answer:

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Step-by-step explanation:

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3 years ago