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stepladder [879]
2 years ago
6

Functions f(x) and g(x) are defined below.

Mathematics
1 answer:
Lemur [1.5K]2 years ago
8 0
I'll send u a pic of my answer (I solved it on my cookbook) if u make this brainliest (u get 3 points for free if u do
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Solve the equation 5*e^x=15.76
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Divide both sides by 5

e^x=3.152  take the natural log of both sides...

x=ln(3.152)

x≈1.148
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The scale of a map is 5 inch = 40 miles. If 2 cities are 15 inches apart on the map, how
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120 miles from border to border cause if we consider the mile zero then it depends what's the areal of a city

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What is −29.9 ÷ 4=
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5 0
3 years ago
Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
2 years ago
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