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lapo4ka [179]
3 years ago
7

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^x and y = 2^x+2 intersect are the so

lutions of the equation 8^x = 2^x+2. (4 points)
Part B: Make tables to find the solution to 8^x = 2^x+2. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 8^x = 2^x+2 graphically? (2 points)
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0
If they y values are the same then you can equate these 2 equations y = 8x and y = 2x + 2 8x=2x+2
because where they inersect their x and y values are the same

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Simplify the expression, only odds 9-17
Elodia [21]

All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.

The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that

a(b+c) = ab+ac

So, a is multiplying the parenthesis involving b and c, and we distributed it: a multiplies both  b and c in the final result.

Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum 3x+2y, and neither 5x^2-4x exponents count.

But you can su, for example,

5x-3x = (5-3)x = 2x

or

23xy^2z^6 - 17xy^2z^6 = 6xy^2z^6

So, take for example exercise 9:

1.2(7x-5y) - (10y-4.3x)

We distribute the 1.2 through the first parenthesis:

1.2(7x-5y) = 1.2 \cdot 7x - 1.2 \cdot 5y = 8.4x-6y

And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):

- (10y-4.3x) = -10y+4.3x

So, the expression becomes

8.4x-6y-10y+4.3x

Now sum like terms:

(8.4+4.3)x + (-6-10)y = 12.7x - 16y

7 0
3 years ago
The temperature in Chicago, Illinois, was recorded one night. Over a three-hour span, the temperature fell 12ºF. What integer re
Fynjy0 [20]

Answer:

The answer to the problem is -4   the other answer is wrong

I hope I helped you.

4 0
4 years ago
Read 2 more answers
Which lists all the integer solutions of the equation |x| = 10?
kakasveta [241]

There is no list and no choices given.

The solutions of     | x | = 10   are   x = 10  and   x = -10 .
 
All (both) solutions happen to be integers.
There are no other solutions.

5 0
3 years ago
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F(x) = 3x + 8; g(x) = 5x - 9<br> (a) Find (f + g)(x).
AysviL [449]

Answer: f(x) = 8x -1

Step-by-step explanation:

( f + g )x = 3x + 5x + 8 - 9

( f + g)x = 8x - 1

8 0
3 years ago
4 radians is the same as _____. <br> Round to the nearest hundredth of a degree.
jenyasd209 [6]
I think the answer is 229.1831. hope this helps!

4 0
3 years ago
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