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4 years ago

Which inequality represents all possible solutions of -3(x+5)>12?

Mathematics

1 answer:

IgorC [24]4 years ago

5 0

its A

Step-by-step explanation:

dividing or multiplying a negative number in this will completely change the sign to opp side

-3x + 15 < 12

-3x < -3

x > 1

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3 years ago

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What is p+1 +8 = 8p+16

padilas [110]

Answer:

Step-by-step explanation:

p+1 +8 = 8p+16

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3 years ago

In the input/output rule: y = -3x - 7 What

tensa zangetsu [6.8K]

Answer:

-22

Step-by-step explanation:

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3 years ago

A number added to its reciprocal is 2<img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B20%7D" id="TexFormula1" title="\frac{9}{

brilliants [131]

The number is $\frac{49+3\sqrt{89}}{40}$ OR $\frac{49-3\sqrt{89}}{40}$

Step-by-step explanation:

The reciprocal of a number means

Switch the numerator and the denominators of the number
The product of a number and its reciprocal is 1
The reciprocal of n is $\frac{1}{n}$

Assume that the number is x

∵ The number is x

∴ Its reciprocal is $\frac{1}{x}$

- Add the number and its reciprocal and equate the sum by $2\frac{9}{20}$

∵ $x+\frac{1}{x}=2\frac{9}{20}$

- Change the mixed number to an improper fraction

∵ $2\frac{9}{20}=\frac{(2)(20)+9}{20}=\frac{49}{20}$

∴ $x+\frac{1}{x}=\frac{49}{20}$

- Multiply the two sides by x

∵ $x(x)=x^{2}$

∵ $\frac{1}{x}(x)=1$

∵ $\frac{49}{20}(x)=\frac{49}{20}x$

∴ x² + 1 = $\frac{49}{20}$ x

- Subtract both sides by $\frac{49}{20}$ x

∴ x² - $\frac{49}{20}$ x + 1 = 0

Now use your calculator to solve it and find the values of x

∴ $x=\frac{49+3\sqrt{89}}{40}$ and $x=\frac{49-3\sqrt{89}}{40}$

To check your answer add the number to its reciprocal the answer must be $2\frac{9}{20}$

∵ $\frac{49+3\sqrt{89}}{40}+\frac{40}{49+3\sqrt{89}}=2\frac{9}{20}$

∵ $\frac{49-3\sqrt{89}}{40}+\frac{40}{49-3\sqrt{89}}=2\frac{9}{20}$

The number is $\frac{49+3\sqrt{89}}{40}$ OR $\frac{49-3\sqrt{89}}{40}$

Learn more:

You can learn more about the numbers in brainly.com/question/10736268

#LearnwithBrainly

6 0

3 years ago

How do u do it<br> It is really hard for me and I hate it

alisha [4.7K]

He used 9 4/5 cups of tomato sauce in total. We also know he spent 4 1/5 + 3 2/5 which is 7 3/5. Now we can subtract. Make both numbers into improper fractions to get 49/5 - 38/5. We get 11/5, or 2 1/5. Hope this helped!

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4 years ago

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