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Nutka1998 [239]
3 years ago
13

What is the correct factorization of: x? - 11x + 18

Mathematics
1 answer:
Dominik [7]3 years ago
8 0

9514 1404 393

Answer:

  x² -11x +18 = (x -9)(x -2)

Step-by-step explanation:

The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.

  18 = (-1)(-18) = (-2)(-9) = (-3)(-6)

The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...

  x² -11x +18 = (x -9)(x -2)

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There are 10 sweets in a bag.
Valentin [98]

Answer:

See Explanation Below

Step-by-step explanation:

Given

Total Sweets = 10

Red = 4

Green = 2

Yellow = 3

Purple = 1

Required

a & b

The question is not properly presented; however the solution is as follows;

A.

Let P(Yellow) represent the probability of selecting a yellow sweet and n(Yellow) represent the number of Yellow sweets;

P(Yellow) = \frac{n(Yellow)}{Total}

P(Yellow) = \frac{4}{10}

P(Yellow) = 0.4

So, whichever letter that shows 0.4 or \frac{4}{10} is the probability of choosing a yellow sweet

B.

Let P(Orange) represent the probability of selecting an orange sweet and n(Orange) represent the number of orange sweets;

Since, there's no orange sweet in the bag;

n(Orange) = 0

P(Orange) = \frac{n(Orange)}{Total}

P(Orange) = \frac{0}{10}

P(Orange) = 0

In probability; opposite probabilities add up to 1;

Let P(Not\ Orange) represent the probability of choosing a sweet that is not orange

P(Not\ Orange)  + P(Orange) = 1

Substitute P(Orange) = 0

P(Not\ Orange)  + 0 = 1

P(Not\ Orange) = 1

So, whichever letter that shows 0 is the probability of choosing a sweet that is not orange

6 0
3 years ago
4(x+3)=2(2x+9)
kramer

Answer:

m a t h w a y

Step-by-step explanation:

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7 0
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elena-s [515]
You would change 22 to a decimal which would be .22 then multiply that by 900 which would be 198. So she spent 198 dollars on the phone

4 0
3 years ago
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Free_Kalibri [48]
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Vilka [71]

Answer:

$16.25 $15.95 $15.75

Step-by-step explanation:

because a 15% tip is $3.00

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