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3 years ago

Look at the two equations:

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

Answer:

$- 3x + 6 = 21$

$- 3x = 21 - 6$

$- 3x = 18$

$- 3x \div - 3 = 18 \div - 3$

$x = - 6$

$- 3x + 6 < 21$

$- 3x < 21 + 6$

$- 3x < 27$

$- 3x \div - 3 < 27 \div - 3$

$x > - 9$

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

Choose the sets to which this number belongs: 1/3 (can be more than one answer)

Lostsunrise [7]

1/3 is a rational number

7 0

2 years ago

I kinda forgot how to do things like 2 divided by 5. plz help

pentagon [3]

Answer:

the answer 0.4

Step-by-step explanation;

4 0

3 years ago

A hot air ballon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and represent the balloon's

Crank

You multiply 320 by 3 and the answer is 960

8 0

3 years ago

Read 2 more answers

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk

aalyn [17]

Answer:

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.

948 628 87 4,987 938 468 3,589 298 2,459 2,286

Based on this sample, how many of the MP3 players might the clerk predict would be defective?

The manager would expect

defective players in the shipment.

6 0

2 years ago