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OLga [1]
1 year ago
6

Given fx = vneiolfjwijfewjfwe

Mathematics
1 answer:
Sindrei [870]1 year ago
5 0

<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>

f(3)=5(3)-3=\boxed{12}

<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>

5x-3=-28 \\ \\ 5x=-25 \\ \\ x=\boxed{-5}

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What is the final elevation if a bird starts at 20 m and changes 16 m?
charle [14.2K]

Answer:

36 meters

Step-by-step explanation:

The bird starts at 20 and (assuming it goes up) increases by 16 meters. You have to add to get 36. However, if the bird flies 16 meters down, the answer would be four meters. The answer 36 is assuming the bird flies upward.

5 0
3 years ago
How much will it cost for the family of four
antiseptic1488 [7]
Do you have the rest of the question?
6 0
3 years ago
Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.
frutty [35]
<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

2^n\leq 2^{n+1}-2^{n-1}-1

where n is a positive integer.

  • Let us take n=1

then we have:

2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2

Hence, the result is true for n=1.

  • Let us assume that the result is true for n=k

i.e.

2^k\leq 2^{k+1}-2^{k-1}-1

  • Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u>  2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1

Let us take n=k+1

Hence, we have:

2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)

( Since, the result was true for n=k )

Hence, we have:

2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2

Also, we know that:

-2

(

Since, for n=k+1 being a positive integer we have:

2^{(k+1)+1}-2^{(k+1)-1}>0  )

Hence, we have finally,

2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

2^n\leq 2^{n+1}-2^{n-1}-1  where n is a positive integer.

6 0
3 years ago
HELP PLEASE!:/
Hoochie [10]
P(bull's-eye) = 700/30000 x 100% = 2.33% ≈ 2%

option A is the correct answer.
7 0
3 years ago
Read 2 more answers
If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?
GaryK [48]

The corresponding parts that are congruent are (a) AB and DE

<h3>How to determine the congruent parts?</h3>

The statement ΔABC ≅ ΔDEF means that the triangles ABC and DEF are congruent.

This implies that the following points are corresponding points:

A and D; B and E; C and F

When two corresponding points are joined together, the congruent parts are:

AB and DE, AC and DF, BC and EF

Hence, the corresponding parts that are congruent are (a) AB and DE

Read more about congruent triangles at:

brainly.com/question/1675117

#SPJ1

3 0
2 years ago
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