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3 years ago

Multiply the binomials (x + 12)(x - 6) *

Mathematics

2 answers:

AysviL [449]3 years ago

6 0

Step-by-step explanation:

(x + 12)(x - 6)

x2 - 6x + 12x - 72

x2 + 6x - 72

Olin [163]3 years ago

5 0

(x+12)(x-6)
=x(x-6)+12(x-6)
=x^2-6x+12x-72
=x^2+6x-72

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3 years ago

What are the possible pairs of numbers that have an LCM of 72

makkiz [27]

Answer:

9 and 8, 12 and 6, 18 and 4, 24 and 3, 36 and 2

Step-by-step explanation:

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3 years ago

Solve the compound inequality.negative 5 x less than or equals minus 10

Doss [256]

negative 5 x less than or equals minus 10

-5x<=-10

divide by -5 (this will flip the inequality)

x>=2

Solution: x>=2

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4 years ago

$80 is divided between Jason and Bryan such that one quarter of Ethan's share is equal to one sixth of Michael's share. How much

DENIUS [597]

We have two things here
Michaels share is x
Ethans share is y

6x=4y
And x+y=80

The equation on the top when divided by 2 equals 3x=2y
x=2y/3

So we have:
x+y=80
2y/3 + y =80 /*3
2y +3y= 240
5 y = 240
y= 48

x+y=80
x+48= 80
x= 80-48
x=32

5 0

3 years ago

Simplify √(x^2-10x+25) if -5≤x<5

romanna [79]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's simplify ~

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 }$

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 5x - 5x + 25 }$

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x- 5) - 5(x - 5) }$

$\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) (x - 5) }$

$\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) {}^{2} }$

$\qquad \sf \dashrightarrow \: (x- 5)$

value x lies between :

$\qquad \sf \dashrightarrow \: - 5 \leqslant x \leqslant 5$

if the value of x is taken -5

$\qquad \sf \dashrightarrow \: - 5 - 5$

$\qquad \sf \dashrightarrow \: - 10$

if value of x is taken as 5

$\qquad \sf \dashrightarrow \:5 - 5$

$\qquad \sf \dashrightarrow \:0$

So, the possible values of the required expression lies between ~

$\qquad \sf \dashrightarrow \: - 10 \leqslant \sqrt{ {x}^{2} - 10x + 25 } < 0$

I hope you understood the whole procedure. let me know if you have any doubts in given steps ~

8 0

3 years ago