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Shkiper50 [21]
3 years ago
11

Solve for x. −10<−2x+4≤8

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0

-10 < -2x+4\leq8\ \ \ \ |-4\\\\-14 < -2x\leq4\ \ \ \ |\text{change the signs}\\\\14 > 2x\geq-4\ \ \ \ |:2\\\\\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}

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Cell phone companies estimate that the total number of text messages (t) since the beginning of the month can be modeled by t=40
GalinKa [24]

The desired number is the difference between the number of messages sent by the 16th day and the number sent by the 9th day:

... n = t(16) - t(9)

... n = (40×√16) - (40×√9)

... n = 40×(4 - 3) = 40


40 text messages were sent between the ninth and sixteenth day of the month.

4 0
3 years ago
What law can be used to determine that the conclusion is valid based on the given statements
ryzh [129]

Answer:

A. Law of detachment

Step-by-step explanation:

The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.

This condition is made the conclusion.

The Acute and Obtuse are detached of each other.

The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.

Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.

The conclusion of the given statement  is valid based on the law of detachment as the condition has been made a conclusion.

8 0
3 years ago
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l
LiRa [457]

Answer:

d(t) = -20t - 260

Step-by-step explanation:

The depth function is:

d(t) = mt + b

After 3 minutes, a submarine had descended to −320 feet.

This means that d(3) = -320. So

d(t) = mt + b

-320 = 3m + b

After 8 minutes, the submarine had descended to −420 feet.

This means that d(8) = -420. So

d(t) = mt + b

-420 = 8m + b

From the first equation:

b = -320 - 3m

So

-420 = 8m + b

-420 = 8m - 320 - 3m

5m = -100

m = \frac{-100}{5}

m = -20

And

b = -320 - 3*(-20) = -260

So

d(t) = -20t - 260

7 0
3 years ago
Luis and Berto sell TVs. Last month berto sold 15 more TVs. Together they sold 163. How many TVs did Luis sell?
Juli2301 [7.4K]

Luis sold 148 TVs.

Step-by-step explanation:

163-15=148

3 0
3 years ago
How do I simplify the expression around the perimeter of the triangle?
Softa [21]

Answer:

it is either positve 13 or negative 13

Step-by-step explanation:

3 0
3 years ago
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