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3 years ago

If the replacement set is the set of integers, find the solution set for the inequality:

Mathematics

2 answers:

kakasveta [241]3 years ago

8 0

It would be D as the correct answer

Andreyy893 years ago

7 0

Answer:

c. {....., -8, -7, -6}

Step-by-step explanation:

x - 9 < -15

x < -6

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A dealer bought an article for $7 sold it for $8 bought it back for $9 and then sold it for $10 how much profit did he make

Anit [1.1K]

To the total amount of money that a dealer spent is $7 + $9 or %16. His revenue from selling the same articles is $8 + $10 which is equal to $18. The profit is the difference between the total revenue and total cost.
profit = $18 - $16 = $2
Thus, the dealer has a profit of $2.

5 0

3 years ago

Rounded to the nearest tenth, how many kilograms is 300 ounces?

Ivanshal [37]

Answer: C

Step-by-step explanation: Divide the mass value by 35.274

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3 years ago

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

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3 years ago

Which equation does the graph below represent

____ [38]

Answer: The answer is y=-3x

Step-by-step explanation: You can see in the picture that the line is going down which represents a negative slope so you can eliminate C and D. Now you are left with A and B. 1 unit up is equal to 3 so the rise over run is -3/1 and that translates to Y=-3x answer B

4 0

3 years ago

the probability of drawing a red coin after three red coins are put back in the bag to replace the blue one that has been remove

Wewaii [24]

4? I'm not sure. Just guessed.

3 0

3 years ago