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2 years ago

Which expression correctly represents “three less than the product of a number and two, increased by five”

Mathematics

2 answers:

ch4aika [34]2 years ago

4 0

5+(x*2)-3

Hope this helped you

Anika [276]2 years ago

3 0

((x+2)+5)-3 is the best thing i can come up with

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dexar [7]

Answer:

Gavin

Step-by-step explanation:

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2 years ago

Read 2 more answers

Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

2 years ago

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is

liberstina [14]

<span>Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the...

Answer: </span> 6(4a2 - 3)

hope this helps :)

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3 years ago

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Somebody help please !!!!

Alecsey [184]

Answer:

Step-by-step explanation:

y is -6 = y-6

x=2 so =x+2

slope is -3/4

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3 years ago

Simplify the following ratios:

jenyasd209 [6]

A) 3:4
b) 2:7
c) 3.5
d) 2:3

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2 years ago