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Vlad1618 [11]
3 years ago
6

How to solve for 6x-12+2x=3+8x-15

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0
6x−12+2x=3+8x−15

Simplify:

6x+−12+2x=3+8x+−15

(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)

8x+−12=8x+−12


8x−12=8x−12

Subtract 8x from both sides.

8x−12−8x=8x−12−8x

−12=−12

Add 12 to both sides.

−12+12=−12+12

0=0

The real numbers are the only solution we can have.


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A boy rides bike at an average speed of 15km/hour, how long will it take him to ride 40km?​
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Investors buy a studio apartment for 120000 of this amount they have down payment of 24000 their down payment is what percent of
Yakvenalex [24]

Answer:

1. 20%

2. 40%

Step-by-step explanation:

To find the percent of the total payment that the down payment is we have to you use the following equation:

\frac{part}{whole} * 100 = percent

Lets start plugging things into the equation.

The part is equal to the down payment and the whole is the total cost of the studio apartment.

Let's do this for the first question

\frac{24,000}{120,000} * 100 = 20%

So we see that 24,000 is 20% of the total purchase price!

Let's do this for the next question:

\frac{48,000}{120,000} * 100 = 40

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3 years ago
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Paraphin [41]

Answers and Step-by-step explanations:

1. We need to plug in values of x into the functions f(x) and g(x):

f(2) = 2.5 * 2 - 10.5 = -5.5                         g(2) = 64 * (0.5^2) = 16

f(3) = 2.5 * 3 - 10.5 = -3                            g(3) = 64 * (0.5^3) = 8

f(4) = 2.5 * 4 - 10.5 = -0.5                         g(4) = 64 * (0.5^4) = 4

f(5) = 2.5 * 5 - 10.5 = 2                             g(5) = 64 * (0.5^5) = 2

f(6) = 2.5 * 6 - 10.5 = 4.5                          g(6) = 64 * (0.5^6) = 1

2.

(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.

(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.

3.

(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).

(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.

(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.

6 0
3 years ago
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