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Mrac [35]
3 years ago
7

Twenty more than four times a number is equal to the difference between −71 and three times the number. Find the number.

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

4x + 20 = - 71 - ( 3x )

4x + 20 = - 3x - 71

Subtract sides minus 20

4x + 20 - 20 = - 3x - 71 - 20

4x = - 3x - 91

Add sides 3x

4x + 3x = - 3x + 3x - 91

7x = - 91

Divide sides by 7

7x / 7 = - 91 / 7

Simplification

x = - 13

Thus the number is ( - 13 ) .

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Classify the number 38.93857982... with the correct rationale.
shtirl [24]

Answer:

38.93857982... is a irrational because it is a non-terminating, non-repeating decimal.

Step-by-step explanation:

Irrational number: the number which cannot be represented in the form of p/q where p and q are integer and q not equal to 0. In other words a Irrational number is a non terminating non repeating decimal number.

6 0
3 years ago
3x + y = 3
Westkost [7]
If you would like to solve the system of equations, you can do this using the following steps:

3x + y = 3
x + y = 2 ... y = 2 - x
_________________
<span>3x + y = 3
</span>3x + 2 - x = 3
2x = 3 - 2
2x = 1
x = 1/2

y<span> = 2 - x = 2 - 1/2 = 1 1/2 = 3/2

(x, y) = (1/2, 1 1/2) = (1/2, 3/2)

The correct result would be </span><span>C) x = 1/2, y = 3/2.</span>
5 0
3 years ago
What is the answer to this equation??
Ivenika [448]

Answer:

c = -4/9; c = 2

Step-by-step explanation:

7 0
3 years ago
ests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose that
Brut [27]

Answer:

P(POSc/Sc)

Step-by-step explanation:

As,

POS= Test has positive results

and

S=Adult has tuberculosis.

The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time.

In the above statement 76.53% describes the probability of adult who don't have tuberculosis gets the negative results as test is correctly identifying.

So, getting negative results means that not positive results and for this event the notation of complement POSc is used. Also, not having tuberculosis can be denoted as Sc. So,

POSc= Test has negative results

Sc=Adult hasn't tuberculosis

Thus, P(POSc/Sc) depicts the probability of adults not having tuberculosis gets correct results.

Hence,  P(POSc/Sc)=76.53%

3 0
3 years ago
Which graph represents the function f(x)=−4x−3?
Evgen [1.6K]
<h2>Answer:</h2>

The graph on the top left.

<h2>Step-by-step explanation:</h2>

f(x) = -4^x - 3

That means that when x = 0...

f(0) = -4^0 - 3

f(0) = -1 - 3

f(0) = -4

So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.

When x = 1...

f(1) = -4^1 - 3

f(1) = -4 - 3

f(1) = -7

So, the function will have a point at (1, -7). That corresponds to the graph on the top left.

<h2>Hope this helps! </h2>
6 0
4 years ago
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