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PolarNik [594]
3 years ago
11

Factors of 4x^3-14x^2+12x

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Step-by-step explanation:

4x³ - 14x² + 12x

= 2x[2x² - 7x + 6]

= 2x[(2x-3)(x-2)]

= 2x(2x-3)(x-2)

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Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?
guapka [62]

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0
3 years ago
5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.​
sdas [7]

Answer:

8

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.  

4 0
3 years ago
What should the graph of two lines look like when there are no solutions that they have in common?
nataly862011 [7]
If the graphs of the equations do not intersect
4 0
2 years ago
Read 2 more answers
Solve for x. Use the quadratic formula. 3x2+7x+3=0 Enter the solutions, in simplified radical form, in the boxes. x = or x =
BartSMP [9]

Answer:


Step-by-step explanation:

X= (-7+radical 13)/6

X=(-7-radical 13)/6

5 0
3 years ago
Carson's wheelbarrow can hold 345 pounds. If he has 121 pound of rock in the wheelbarrow what number of pounds p can he pull wit
dangina [55]

Answer:

p\leq 224\ lb

The maximum number of pounds p is 224

Step-by-step explanation:

Let

p ----> the maximum number of pounds he can pull without going over the weight limit

we know that

121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds

In this problem the word "at most" means "less than or equal to"

so

The inequality that represent this situation is

p+121\leq 345

solve for p

subtract 121 both sides

p\leq 345-121

p\leq 224\ lb

therefore

The maximum number of pounds is 224

7 0
3 years ago
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