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DIA [1.3K]
3 years ago
8

Give a direct proof that the sum an even integer and an odd integer is odd.

Mathematics
1 answer:
mina [271]3 years ago
5 0
Even integer: 2 x a, where a is a  natural number without 0;
Odd integer : 2 x b + 1 , where b is a natural number;
So, 2 x a + 2 x b+ 1 = 2 x ( a + b ) + 1, which is an odd integer.
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The graph of f(x)=3•2^x -3 is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g
Bezzdna [24]

Answer:

C

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that 3*2^x-3 which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

g(x) = 2^x+3\\g(0) = 2^0+3\\g(0)=1+3\\g(0)=4

This function doesn't match.

f(0) = 3*2^0+3\\f(0) = 3*1+3\\f(0)=6

This function matches. Option C is correct.

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3 years ago
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olasank [31]
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3 years ago
Which is not true about the random sample method?
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6 0
3 years ago
Help me please :((: thank u
I am Lyosha [343]

Hey there!

In order for you to find the one that is equivalent to the given expression is to COMBINE YOUR LIKE TERMS then work from there!

12q + q^2 - 8 + q = ?

(q^2) + (12q + q) + (-8)

q^2 = q^2 since it doesn't have any like term(s)

12q + q = 12q + 1q = 13q

-8 = -8 since it doesn't have any like term(s)

Put all the numbers we solved for in An equation and Thats your answer!

If you did it correctly you should have: q^2 + 13q - 8

Answer: q^2 + 13q - 8 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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2 years ago
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