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Sedbober [7]
3 years ago
12

3(6x+2)<9 solve the inequality

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

3(6x+2) <9

Use distributive property:

18x + 6 < 9

Subtract 6 from both sides

18x < 3

Divide both sides by 18

X < 3/18

Simplify:

X < 1/6

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Michael spends an average of $120 per month going out to lunch and dinner. If he can cut that
expeople1 [14]

Answer:

If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.

Step-by-step explanation:

120- 50= 70 ($70 saved each month)

Month 1- $70 saved total

Month 2- $140 saved total

Month 3- $210 saved total

Month 4- $280 saved total

Month 5- $350 saved total

Month 6- $420 saved total

It takes 6 months to get 400 saved. We could also divide to get

5.714285, but it would takes 6 months before reaching the goal. :)

6 0
4 years ago
Simplify the product 3 sqrt 7 (1- sqrt 7)
Dvinal [7]
3\sqrt7(1-\sqrt7)=3\sqrt7\cdot1-3\sqrt7\cdot\sqrt7=3\sqrt7-3\cdot7=3\sqrt7-21

Used:\ \sqrt{a}\cdot\sqrt{a}=a
6 0
3 years ago
Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1436 referee​ calls, with the re
Artemon [7]

There is no sufficient evidence to suggest that men and women have equal success in challenging calls. This was illustrated in the hypothesis.

<h3>How to compute the value?</h3>

It should be noted that based on the information given, P1 will be:

= 424/1436

= 0.295

P2 will be:

= 222/754

= 0.294

The value of the test statistic will be:

= (424 + 222)/(1436 + 754)

= 646/2190

= 0.2949

In this case, the value of the test statistic falls on the rejection region, therefore, there is no sufficient evidence to suggest that men and women have equal success in challenging calls.

Learn more about hypothesis on:

brainly.com/question/11555274

#SPJ1

4 0
2 years ago
Prove that the inequality (a+1)·(a+1)&gt;(a−1)·(a−1) is not true for some values of a.
Effectus [21]

Explanation:

Consider the case a = -1. Then the expression becomes ...

  (-1+1)(-1+1) > (-1-1)(-1-1) . . . . test case

  0·0 > (-2)(-2) . . . . . simplified a bit

  0 > 4 . . . . . . . . NOT TRUE

_____

If we subtract the right side from both sides, the inequality becomes ...

  (a+1)(a+1) -(a-1)(a-1) > 0

  a² +2a +1 -(a² -2a +1) > 0

  4a > 0

  a > 0

The inequality is only true for positive values of "a". For a ≤ 0, the inequality will not be true.

7 0
4 years ago
Find the slope of the line?<br> the slope is____
chubhunter [2.5K]

Answer:

Slope is m= -1

Step-by-step explanation:

Use the slope formula to find the slope m .

y=mx+b

3 0
3 years ago
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