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hichkok12 [17]
3 years ago
10

The equation y = 4x + 4 describes the relationship between the quantities x and y. Are the quantities in a proportional relation

ship?
Mathematics
2 answers:
alexgriva [62]3 years ago
5 0

Answer: For this to be a proportional relationship, the function would have to be y=4x. Since y=mx+b, this is not a proportional relationship because each time the value of x increases, the value for figure 0 is added on.

So, no. This is not proportional.

Hope this helps!

masha68 [24]3 years ago
4 0

Answer:

Yes, because as x grows larger so does y, that means to be in a proportional relationship.

Step-by-step explanation:

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statuscvo [17]

Answer:

1. 7/41

2. 7/15

Step-by-step explanation:

1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41

2. Probability that it is at least 20 given that it is prime. Out of the prime numbers from 1-50, 7 of them are at least 20 and there are 15 primes in that range in total. So, it is 7/15

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stiv31 [10]

Answer:

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Step-by-step explanation:

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3 years ago
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nata0808 [166]

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Step-by-step explanation:

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3 years ago
Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.
Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

    2^{n}>n

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

      2^{k}>k

                   ---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement  is true for, n=k+1.

     \rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

      2^{k}>k

                 

   

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3 years ago
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