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3 years ago

Find the least common multiple of x2 – 8x + 12 and x2 – x – 2.

Mathematics

2 answers:

ozzi3 years ago

7 0

Answer with Step-by-step explanation:

We have to find the least common multiple of x² – 8x + 12 and x² – x – 2.

on factoring both the terms separately:

x² – 8x + 12

=x²-6x-2x+12

=x(x-6)-2(x-6)

= (x-2)(x-6)

x² – x – 2

=x²-2x+x-2

=x(x-2)+1(x-2)

= (x-2)(x+1)

The factor (x-2) is common between them so we take it once

∴ LCM = (x-2)(x-6)(x+1)

Hence, least common multiple of x² – 8x + 12 and x² – x – 2 is:

(x-2)(x-6)(x+1)

abruzzese [7]3 years ago

6 0

The least common multiple of x² – 8x + 12 and x² – x – 2.

by factoring:
∴ x² – 8x + 12 = (x-2)(x-6)

x² – x – 2 = (x-2)(x+1)

note: the factor (x-2) is common between them take it one time

∴ LCM = (x-2)(x-6)(x+1)

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What is 2 2/3 minus 1 1/2

vagabundo [1.1K]

Answer:

1 1/6

Step-by-step explanation:

2 2/3 = 2+2/3

1 1/2 = 1+1/2

So (2 2/3) - (1 1/2)=2+2/3-(1+1/2)=

2+2/3-1-1/2=1+(2/3-1/2)=1+(4-3)/6=1+1/6=

1 1/6

5 0

3 years ago

Read 2 more answers

Could someone help me for this?

lina2011 [118]

Answer:

x = - $\frac{5}{3}$ , x = $\frac{5}{2}$

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - $\frac{5}{3}$

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = $\frac{5}{2}$

3 0

2 years ago

Please help I need help

FinnZ [79.3K]

Answer:

its option 3;92667

Step-by-step explanation:

6 and 8 is 68 so 9 2667 its 92667

3 0

3 years ago

The sum of 5 consecutive integers is 265. What is the fifth number in this sequence ?

Yanka [14]

Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers

n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55

6 0

3 years ago

21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

7 0

3 years ago