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frutty [35]
2 years ago
13

WHAT IS YOUR FAV COLOR????

Mathematics
1 answer:
Stells [14]2 years ago
6 0
Lol blue is my favorite color
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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
2 years ago
A store purchases an item wholesale for 60$ and marks it up by 70 percent if there is a 7 percent tax on the item how much will
seropon [69]

Answer:

109.14

Step-by-step explanation:

to Start off do 60 x .70, then add the answer to 60, then multiply by .07 then add that to 102, for the answer of 109.14

6 0
3 years ago
Your family is driving at 45 miles an hour and your families house is 135 miles away how long will it take
Fed [463]
A short simple answer of 3 hours
8 0
2 years ago
What does a line mean in a maths equation
Cerrena [4.2K]

A line means divided by

So basically if it was 1/2, then it would be 1 divided by 2.

P. S. 1 divided by 2 is not the answer I'm just explaining what a line is

8 0
3 years ago
Hello! Please answer this ASAP! Its a math question..
dedylja [7]

Answer:

  1. The hikers carried 17.5 litres of water
  2. The Koshy family travled 34.5 km while visiting Delhi

Step-by-step explanation:

1-

Multiply 1.75 liters by 10 (the number of days there were hiking) : 17.5 litres

2-

Multiply 11.5 km by 3 (the number of days visiting Delhi) : 34.5 km

7 0
2 years ago
Read 2 more answers
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