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Evgesh-ka [11]
3 years ago
9

Help. I can’t figure this out.

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

5

Step-by-step explanation:

ladessa [460]3 years ago
6 0

The median is 5. Cross off the dots on both sides one by one until you reach the center.

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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)

<em></em>

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)

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

7 0
3 years ago
A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting
GaryK [48]
By cutting each corner we have that the resulting dimensions are:
 27 - 2x
 18 - 2x
 Height = x
 Therefore, the volume of the box in terms of the variable x, is given by:
 V (x) = (x) * (27-2x) * (18-2x)
 Answer:
 
The volume of the box in terms of x is:
 
(27-x) (18-x) x
8 0
4 years ago
Read 2 more answers
A rotation on the origin counterclockwise goes to the right. <br><br> true or false
marta [7]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
PLEASE Answer! I'll Give Brainliest And A Thanks For A GOOD Answer.
melisa1 [442]

Answer: Your welcome the answer is in the attached Image.

Step-by-step explanation: mark me brainliest.

5 0
3 years ago
14 less than number is it an algebraic expression for a Equation
FrozenT [24]

x - 14 would be the equation

Does this help? Not really sure what you are asking.

5 0
3 years ago
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