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Gemiola [76]
3 years ago
12

The inequality -3n<12 is equivalent to

Mathematics
2 answers:
pantera1 [17]3 years ago
3 0

Answer: D. n > -4

Step-by-step explanation:

<u>Given</u>

-3n < 12

<u>Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term</u>

-3n / -3 > 12 / -3

n > -4

Hope this helps!! :)

Please let me know if you have any questions

kari74 [83]3 years ago
3 0

Hey there! I'm happy to help!

Inequalities are solved like normal equations with a few extra rules.

So, we could simply divide both sides by -3 to get our answer, but n<-4 would actually be incorrect. With inequalities, dividing by a negative number means you have to flip the inequality sign. This is because you turn the other side negative so you need to adjust the inequality sign to match it.

So, our final answer will actually be n>-4.

Have a wonderful day and keep on learning! :D

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Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-
Naddika [18.5K]

Answer:

(D) f(x+1)=2f(x)

Step-by-step explanation:

The sequence is:

-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}

Now,

-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.

Therefore for term f(x), the next term f(x+1) is:

f(x+1)=2f(x)

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3 years ago
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What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​
UkoKoshka [18]

Answer:

\boxed{m = - \frac{33}{14} }

.

Step-by-step explanation:

Use the form below

\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}

Where

  • m is a slope
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So, the slope is

(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1

(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}

.

m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }

m = \frac{\frac{11}{2} }{\frac{-7}{3} }

m = \frac{11}{2} \div (-\frac{7}{3} )

m = \frac{11}{2} \times (-\frac{3}{7} )

m = - \frac{33}{14}

.

Happy to help:)

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Sedbober [7]

Answer:

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Step-by-step explanation:

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Let the number of cars washed = x

Money raised by washing cars = $5x

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Given that, both the teams have raised same amount of money:

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Money raised by each team = 94 + 11 = <em>$105</em>

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