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2 years ago

14

Ok so math questions:

1 answer:

dolphi86 [110]2 years ago

6 0

Joe: 24
John: 2/3 of 24 is 16
Jessie: 24 + 16 = 40; 1/5 of 40 is 8
Jessie makes $8 an hour.

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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

Hurry Please!!!! IF ANSWER WILL MAKE BRAINIEST ANSWER <br> Which expression is equivalent to

coldgirl [10]

See attached picture for answer

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3 years ago

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Find the value of x:

cluponka [151]

5x - 20 = 8x - 65
-20 = 3x - 65
3x = 45
x = 15

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2 years ago

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Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.

Levart [38]

The answer is 0.5m cubed.

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2 years ago

ABCD is a rectangle. find the length of each diagonal. AC= 3(x-2) and BD=x+18 what is AC? What is BD?

katen-ka-za [31]

ABCD is a rectangle so the diagonals are equal

AC = BD

3(x - 2) = x + 18

3x - 6 = x + 18

2x = 24

x = 12

AC = 3(x - 2) = 3(12 - 2) = 3(10) = 30

BD = x + 18 = 12 + 18 = 30

Answer

AC = BD = 30

6 0

2 years ago

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