Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks
Answer:
41.1 feet of ribbon was leftover
(fraction form: 41 1/10)
Step-by-step explanation:
122 1/2 = 122.5
32 2/5 = 32 4/10 = 32.4
122.5 x 0.4 = 49
122.5 - 49 = 73.5
73.52 - 32.4 = 41.1
41.1
Answer:
you can just type out like 30 degrees, 50 degrees, and 100 degrees or something like that
Step-by-step explanation:
To find the median, put the numbers in order to least to greatest, which would be 5, 5, 5, 7, 8, 8, 9. the median is the number in the middle, which is seven. the mode is the number that occurs most often in the set, which is 5 in this case (appears three times). 2. 543.24 in expanded form is essentially pulling the number apart into its different values places. in this case, it would be five hundred plus forty plus three plus two tenths plus four hundredths, which is 500 + 40 + 3 + .2 + .4. hope this helps!
The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0
<h3>What exactly is a function?</h3>
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given function;
f(x) = 16x – 30
g(x) = 14x – 6
⇒(f – g)(x) = 0
⇒(16x – 30)-(14x – 6)=0
⇒16x-30-14x+6=0
⇒2x-24=0
⇒x=24/2
⇒x=12
Hence, the value of the x will be 12.
To learn more about the function, refer to:
brainly.com/question/5245372
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