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-BARSIC- [3]
3 years ago
5

Please help me guys

Mathematics
1 answer:
Marianna [84]3 years ago
6 0
If you multiply $60 by 0.15 you'll get 9 which is the taxes of the meal. Since he leaves the same percentage of tip, now we add 9+9 and get $18..
60+18=78
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What is the solution to log 5 (x+30)= 3
Free_Kalibri [48]

Answer:

x = 95

Step-by-step explanation:

Using the rule of logarithms

• log_{b} x = n ⇔ x = b^{n}

Given

log_{5}(x + 30) = 3, then

x + 30 = 5³ = 125 ( subtract 30 from both sides )

x = 95

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y = log(3x + 4) + 2

__________________________________________________________

Y-INTERCEPT: set x = 0

y = log(3(0) + 4) + 2

y = log(0 + 4) + 2

y = log( 4) + 2

Using calculator,

y = log( 4) + 2

y ≈ 2.60 when x = 0

__________________________________________________________

X-INTERCEPT: set y = 0

y = log(3x + 4) + 2

0 = log(3x + 4) + 2

-2 = log(3x + 4)

(it's simple. Always remember that the base is 10, even though there seems to be no "smaller number" next to log)

= 3x + 4

10^{-2} - 4 = 3x

[10^{-2} - 4 ] /3 = x

x = -1.33 when y = 0

__________________________________________________________

<h3>ANSWER: y-intercept is 2.60 and x-intercept is -1.33</h3>

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