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fredd [130]
2 years ago
11

18x3 + 6x2y - 9x2 - 3xy factor completely

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

\sf 3x(3x+y)(2x-1)

Step-by-step explanation:

Given expression:

\sf 18x^3 + 6x^2y - 9x^2 - 3xy

Factor out common term \sf 3x:

\sf \implies 3x(6x^2 + 2xy - 3x - y)

Factor \sf (6x^2 + 2xy - 3x - y)

Rearrange:

\sf \implies 6x^2 - 3x+ 2xy  - y

Factor pairs of terms:

\sf \implies 3x(2x-1)+ y(2x  - 1)

Factor out common term (2x - 1):

\sf \implies (3x+y)(2x-1)

Final solution:

\sf \implies 3x(3x+y)(2x-1)

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Ksivusya [100]

The relative frequency of female mathematics majors will be 0.5142.

<h3>How to find the relative frequency?</h3>

The proportion of the examined subgroup's value to the overall account is known as relative frequency.

A sample of 317 students at a university is surveyed.

The students are classified according to gender (“female” or “male”).

The table is given below.

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2 years ago
A generator can run for 11 hours on 3 gallons of gasoline. How many hours can the generator run on 9 gallons of gasoline?
Margarita [4]

Answer:

11 / 3 hours

Step-by-step explanation:

5 0
2 years ago
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5 0
3 years ago
If the angles are represented in degrees, find both angles:<br> cos(8x+18)=sin(−2x+36)
larisa [96]

Answer:

24 and 66degrees

Step-by-step explanation:

Given the equation

cos(8x+18)=sin(−2x+36)

In trigonometry identity, cos theta = sin (90- theta)

The given expression becomes;

sin (90 - (8x+18)) = sin(−2x+36)

sin will cancel out to have;

90 - (8x+18) = (−2x+36)

90-8x-18 = -2x+36

-8x +72 = -2x+36

-8x + 2x = 36 - 72

-6x = -36

x = 36/6

x = 6

Hence the value of x is 6

cos(8x+18) = cos(8(6)+18)

= cos  66

Also

sin(−2x+36)

= sin(−2(6)+36)

= sin(−12+36)

= sin 24

Hence both angles are 24 and 66degrees

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3 years ago
A cafeteria sold 80 frozen yogurts on Monday, and 55% of these were peach yogurt. How many peach yogurts were sold on Monday?
Oliga [24]
The key thing to note is that percentage means that number over 100. Thus 55% can be written as 55/100. This converts to the decimal 0.55. If we then multiply this by 80, we get 44.
44 peach yogurts were sold on Monday.
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3 years ago
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