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kakasveta [241]
3 years ago
8

Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0

Mathematics
1 answer:
Rudiy273 years ago
4 0

Answer:

y = 0, y = \frac{1}{3}, y = \frac{3}{4}

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

3y - 1 = 0 ⇒ 3y = 1 ⇒ y = \frac{1}{3}

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = \frac{3}{4}

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3 years ago
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Mrs Lim packs 35 big and small bags of candies for her pupils. Each big bag contains 12 candies and each small bag contains 7 ca
Anastasy [175]

Answer:

there are 11 big-bags and 24 small-bags.

Step-by-step explanation:

there are x big-bags and y small-bags.

so now we can know:

(1) x + y = 35

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in (1),we can do like this:

both left and right x7

then (x + y)x7 = 35 x 7

then 7x + 7y = 35 x 7  

then 7x + 7y = 245

now,

(1)7x + 7y =245

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we can both left and right do this: (2) - (1)

then

(12x + 7y) - (7x + 7y) = 300 -245

then

12x + 7y - 7x - 7y = 300 -245

then

12x - 7x +7y - 7y =300 -245

then

5x =55

then

5x ÷ 5 = 55 ÷ 5

then

x = 11

because

x + y =35;x=11

so

11 + y =35

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3 0
3 years ago
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NemiM [27]

Answer:

x = -8 and BDC is 68 degrees.

Step-by-step explanation:

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8 0
3 years ago
In order to take honors-level math, Lisa must have an average of 85 on her math tests. Her scores so far are 85, 70, and 98. Wha
Mila [183]

Answer:

d) 87

Step-by-step explanation:

to solve this lets set up the equation

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to double check take the averages

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5 0
3 years ago
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