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1 year ago

What’s the factory of 15y - 21z

Mathematics

2 answers:

Digiron [165]1 year ago

7 0

Answer:

3(5y-7z)

Step-by-step explanation:

3x5=15

7x3=21

lora16 [44]1 year ago

7 0

Answer:

3(5y - 7z) .

Step-by-step explanation:

The GCF of 15 and 21 is 3 so:

15y - 21z = 3(5y - 7z)

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)

Leviafan [203]

Answer:

$\huge\boxed{x=1\ \vee\ x=2}$

Step-by-step explanation:

$3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}$

$\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}$

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2 years ago

If your grocery bill came to $205.67 and was reduced to $145.90 after coupons, what is the percent decrease?

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2 years ago

Which is bigger 3/11 or 3/12

mr_godi [17]

Answer:

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Step-by-step explanation:pls mark me brainliest

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2 years ago

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X+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

Rina8888 [55]

Answer:

x+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

x+y+2=-5 equation 1

-2x-y+2=-1 equation 2

x-2y-2=0 equation 3

Add equation 1 + 2+ 3

x+y+2=-5 + -2x-y+2+1 + x-2y-2

x+y+2= -7+2+1-2x+x+y

x+y+2= -4-x+y

x+y+2+4+x-y= 0

2x+6= 0

2x= -6

divide both side by 2

x= -3

from equation 1 insert x

x+y+2=-5

since x=-3

then, -3+2+y= -5

-1+y= -5

y= -5+1

y= -4

Step-by-step explanation:

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2 years ago

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