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Simora [160]
3 years ago
7

How do you factor 20x^2 - 66x +54 ?

Mathematics
1 answer:
yarga [219]3 years ago
3 0
There is a way to factor with a leading coefficient larger than 1, but first, it would be easier to factor out a number to make the next steps easier.
2(10x²-33x+27) ← Factor out a 2, then just temporarily drop it to make things less messy

So now we have 10x²-33x+27. The first step when factoring with a leading coefficient is to multiply the leading coefficient (10) and the constant (27) = 270. Then, we find the factors of 270 and see what would add to give -33.
The factors are -15 and -18

Then, we get (10x²-15x)+(-18x+27)
Factor out a 5x from the first, and -9 from the second
5x(2x-3)-9(2x-3)
That would give us (5x-9)(2x-3) but don't forget the 2 from above! Therefore, the final answer is:
2(5x-9)(2x-3)
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lesya692 [45]

Answer:

C, the plus or minus at the end of a function stands for the point on the y axis going up or down 13.

Step-by-step explanation:

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2 years ago
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Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves? (second
MissTica

Answer:

see below

Step-by-step explanation:

We can determine how much 12 ounces cost by using ratios

5 ounces       12 ounces

-------------- = -------------------

2.35                 x

Using cross products

5x = 12*2.35

5x = 28.2

Divide each side by 5

5x/5 = 28.2/5

x =5.64

If she has 10 dollars

5 ounces       y ounces

-------------- = -------------------

2.35                 10

5*10 = 2.35y

50 = 2.35y

Divide each side by 2.35

50/2.35 = 2.35y/2.35

21.27659574 =y

She can buy 21.3 ounces

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2 years ago
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Nellie is buying bird seed to put in her bird feeders. she uses about 10 pounds of bird seed each week, but has room to store an
neonofarm [45]
Nellie has to calculate the price per pound for every bag.

1) 2.52 / 3.5 = 0.72 $/lb
2) 5.40/7.5 = 0.72 $/lb
3) 7.92/11 = 0.72 $/lb

Then,  price per pound  is the same for any bag. There is no advantage of purchasing one or other, given that she can store any quantity.
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What is the slope of the line (-2,-6) and (2,2)
avanturin [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, 2)

m = \frac{2+6}{2+2} = \frac{8}{4} = 2

4 0
3 years ago
A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Use a table to find the prob
kiruha [24]

Answer:

31.77% probability the surgery is successful for exactly five patients.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A surgical technique is performed on seven patients.

This means that n = 7

You are told there is a 70% chance of success.

This means that p = 0.7

Find the probability the surgery is successful for exactly five patients.

This is P(X = 5).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{7,5}.(0.7)^{5}.(0.3)^{2} = 0.3177

31.77% probability the surgery is successful for exactly five patients.

5 0
3 years ago
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