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2 years ago

Using the spinner above, what is the probability that you will land on red or blue?

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

7 0

Answer: 3/4

Step-by-step explanation:

The probability that you will land on either red or blue is equal to the sum of the probability that you will land on red and the probability you will land on blue.

The probability you will land on red is 1/2 and the probability that you will land on red is 1/4 by the image.

Therefore, the probability you will land on either is 1/4 + 1/2 = 3/4

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If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.

Neporo4naja [7]

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

Step-by-step explanation:

Given

$f(x)=x^3-12x^2+35x-24$

$f(8) = 0$

Required

Find all zeros of the f(x)

If $f(8) = 0$ then:

$x = 8$

And $x - 8$ is a factor

Divide f(x) by x - 8

$\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}$

Expand the numerator

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}$

Rewrite as:

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}$

Expand

$\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}$

$\frac{f(x)}{x - 8} = (x - 1)(x - 3)$

Multiply both sides by x - 8

$f(x) = (x - 1)(x - 3)(x - 8)$

Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

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3 years ago

5x+7y=10 8x-5y=2 Please help!

Mrrafil [7]

(x,y)=(64/81, 70/81) I can provide a description if needed. I used the process of elimination.

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3 years ago

Someone help me out. I swear I leanred how tro do this years ago but I guess I'm not that smart

guajiro [1.7K]

Answer:

-1

Step-by-step explanation:

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2 years ago

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You would either start at 0 and go over 235 then you would go over 123 more

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3 years ago

Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response quest

zlopas [31]

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

8 0

3 years ago