What is the 34th term in the sequence 7,12,17

Any suggestions or answers

Dominik [7]

The answer would be “D”

6 0

3 years ago

Answer the following

Amanda [17]

The set A satisfying the given inequality is A = (- $\infty$ , -10].

<h3>What are some properties of an inequality relation? </h3>

Following are some facts which are true for an inequality relation:

Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.

$\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)$

Since y ∈ B, -2 ≤ y ≤ 7. So,

$\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\; y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.$

The set {-x | inequality (1) holds ∀ y ∈ B} is [10, $\infty$ ) i.e.

10 ≤ -x ≤ $\infty$ .

Multiplying -1 throughout gives

-10 ≥ x ≥ - $\infty$ .

x, thus, lies in the range A = (- $\mathbf{\infty}$ , -10}.

Learn more about the inequality here.

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Disclaimer: The question was incomplete. Please find the full content below.

<h3>Question </h3>

Find the set A such that for x ∈ A

$\frac{5x - 2}{8} - \frac{3x - 5}{10} \ge x + y$

∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.

#SPJ4

4 0

2 years ago

Which expression shows a sum of three terms?<br> x3<br> 3 + x + 3<br> 3x<br> 3(x + 3)

Aliun [14]

I beleive the correct answer would be the either the second, or the last one, but you go with whatever feels more comfortable. Hope this was helpful! (:

4 0

3 years ago

8. The shape of a fish pond at a park<br> is shown below. Is the shape open<br> or closed?

balu736 [363]

The shape is closed because the sides touch.

8 0

3 years ago

Read 2 more answers

In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati

frez [133]

Answer:

$P(x < 2.892) = 4.36\%$