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insens350 [35]
3 years ago
6

I NEED HELP PLEASE, THANKS! :)

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

\frac{x^6}{3} +\frac{2x^3}{3} +5x+C

which agrees with the second answer in your list

Step-by-step explanation:

\int {2x^5+2x^2+5} \, dx =\frac{2x^6}{6} +\frac{2x^3}{3} +5x+C=\frac{x^6}{3} +\frac{2x^3}{3} +5x+C

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Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)
EleoNora [17]
Start by multiplying each side of the inequality by \sqrt{x + 1} and simplifying:

2 \sqrt x + \frac{1}{\sqrt{x+1}}  \leq  2 \sqrt{x + 1}
(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})
2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)
2 \sqrt{x^2 + x} + 1 \leq 2x + 2
2 \sqrt{x^2 + x} \leq 2x + 1
\sqrt{x^2 + x} \leq x + \frac{1}{2}

From here, we can square both sides to get

x^2 + x \leq (x + \frac{1}{2})^2
x^2 + x \leq x^2 + x + \frac{1}{4}
0  \leq \frac{1}{4}, which is always true.
3 0
3 years ago
Help me understand please this answer I know is wrong
Oksanka [162]

Your not wrong at all. Your 100% correct. The answer you chose is the correct answer.

7 0
3 years ago
Charlie colors 45% of the total shapes on her paper. she colors 18 shapes .
love history [14]
Hey there!

Here is your answer:

<u>The proper answer to this question is "40".</u>

Reason:

<u>40/x=100/45</u>
<u>(40/x)*x=(100/45)*x       - we multiply both sides of the equation by x</u>
<u>40=2.22222222222*x       - we divide both sides of the equation by (2.22222222222) to get x</u>
<u>40/2.22222222222=x </u>
<u>18=x </u>
<u>x=18</u>

<span>45% of 40=18

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit</span>
3 0
4 years ago
Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of mon
sdas [7]

Answer:

8,750 = 250 + 340x

I believe he is missing the cost of the house

7 0
3 years ago
Maria will take two books with her on a trip. Suppose that the probability that she will like book 1 is .6, the probabilitythats
morpeh [17]

Answer:

0.25 is the required probability.

Step-by-step explanation:

We are given the following in the question:

Probability that like book 1 = 0.6

P(1) = 0.6

Probability that like book 2 = 0.5

P(2) = 0.5

Probability that Maria likes both the books = 0.4

P(1\cap 2) = 0.4

We have to find the conditional probability that she will like book 2 given that she did not like book 1.

Thus, we have to evaluate:

P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25

0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.

4 0
4 years ago
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