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mafiozo [28]
4 years ago
13

Select the algebraic equation that correctly represents the given sentence, and solve the equation. If 4 is subtracted from twic

e a number, the result is 12 less than the number. A. 2x – 4 = x + 12 x = 16 B. 2x + 4 = x – 12 x = –16 C. 2x + 4 = x + 12 x = 8 D. 2x – 4 = x – 12 x = –8
Mathematics
2 answers:
Sauron [17]4 years ago
5 0

Answer:

D. 2x – 4 = x – 12 x = –8

Step-by-step explanation:

Firstly, let's call a number by x. Then we're going to Translate into variables and numbers: If 4 is subtracted from twice a number=4-2x, the result (=) is 12 less than the number (12-x). And now Perform the operations, carefully watching out for signs. Pay attentios to propety of the equality, what we add, subtract, multiply, ... on the 1st member (left side) must be equally done on the second member (right side of the equality)

2x-4=x-12  <em>Adding -x on both sides of this equality</em>

x-4=-12

x-4+4=-12+4 <em>Adding 4 units to both sides to isolate x onf 1st member</em>

x=-12+4

x=-8

S={-8}  <em>Solution Set of this linear equation</em>

IRINA_888 [86]4 years ago
4 0
Im sure the answer is D sorry if im wrong  
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Find the argument of the complex number -3–9 in the interval 0°&lt; ϴ &lt; 360°,
Bingel [31]

Answer:

\theta=251.6^\circ

Step-by-step explanation:

<u>Complex Numbers</u>

They are expressed as the sum of a real part and an imaginary part:

Z = a+b\mathbf{ i}

Complex numbers can also be expressed in polar form:

Z = r(\cos\theta+\sin\theta \mathbf{ i}) = r. cis(\theta)

Where r is the modulus of the complex number and θ is the argument.

The argument can be calculated by:

\displaystyle \tan\theta=\frac{b}{a}

The angle θ must be calculated in the appropriate quadrant depending on the signs of the real and imaginary parts.

The complex number is given as:

Z = -3 -9\mathbf{ i}

Here: a=-3, b=-9

Since both components are negative, the argument lies in the third quadrant (180° < θ < 270°).

\displaystyle \tan\theta=\frac{-9}{-3}

\displaystyle \tan\theta=3

\theta=\arctan(3)

The calculator gives the answer 71.6°, we need to adjust the angle to the third quadrant by adding 180°, thus

\mathbf{\theta=251.6^\circ}

6 0
3 years ago
An initial population of 7 chipmunks increases by 6% each year. If the function f(x) = ab^x models this situation, which functio
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Answer:

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3 years ago
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Nataly_w [17]

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

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3/4x-19=-1
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