Answer:
Step-by-step explanation:
log(1+2+3)=log1+log2+log3
LHS
log(1+2+3)
=log6
=log(1*2*3) by the log rule log(ab)=loga+ logb
=log1+log2+log3
rhs proved
Answer:
I think the answer is B. The equation has infinitely many solutions.
Step-by-step explanation:
4(3x + 4) = 15x + 12 - 3x + 4
*group like terms so 4(3x+4) = 15x - 3x + 12 + 4
*add similar elements 15x - 3x = 12x
*add the numbers 12 + 4 = 16
*Expand to 12x + 16 - 16 = 12x + 16 - 16
*You simplify 12x = 12x
*Subtract 12x from both sides
*Then Simplify which is 0
Which means Both sides are equal to 0
True for all X
1/4 or .25 or 25%
You basically just divide 60 by 15. So 15 goes into 60 4 times. Therefore, 4 is our denominator with one as our numerator.
Answer:
In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.
Step-by-step explanation:
(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4
= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4
Answer:
A) Lifetime: 200+15x
Health Bridge: 50+30x
B.1) Yes, they are both the same price after 10 Months at an amount of $350
B.2) Lifetime gym would be cheaper by $30
C) Health Bridge Gym because it is $60 less
D) Lifetime Gym
Step-by-step explanation:
A) 200=Initial Fee___15=Monthly Cost___x=Months
50=Initial Fee___30=Monthly Cost___x=Months
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B.1) 200+15(10)=350
50+30(10)=350
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B.2) 200+15(12)=$380
50+30(12)=$410
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C) 200+15(6)=290
50+30(6)=230
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Lifetime Gym's initial fee is greater than Health Bridge's fee but without exceeding $500, you are able to go to the gym for 20 months rather than 15 months using Health Bridge's plan.
D)200+15(20)=$500
50+30(15)=$500
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I hope this is enough work shown, if you need a better understanding let me know and I will revise the equations for you.
