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barxatty [35]
3 years ago
14

Which inequality represents the following sentence?

Mathematics
2 answers:
Murrr4er [49]3 years ago
6 0
<span>x – 12 ≥ 18 Let's break down the sentence and create an inequality from it. We'll use X to represent the number. "Twelve fewer than a number is at least 18." The "Twelve fewer than a number" indicates subtraction, so let's do that. X - 12 "is at least 18." would be a greater than or equal relationship. So we have X - 12 ≥ 18 And we're done. The desired equation is: x – 12 ≥ 18</span>
Ket [755]3 years ago
5 0

Answer:

B) x - 12 ≥ 18.

Step-by-step explanation:

Given : Twelve fewer than a number is at least 18.

To find : Which inequality represents the following sentence?.

Solution : We have given

Twelve fewer than a number is at least 18.

Let the number be  x .

According to question :

Twelve is less than a number x .

x - 12  ( negative sign used for fewer).

x - 12 ≥ 18.

Here we used greater than equal to sign because x- 12 is at least 18 mean is must be 18 or greater than 18.

Then equation become x - 12 ≥ 18.

Therefore, B) x - 12 ≥ 18.

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Answer:

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Step-by-step explanation:

Given

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Let \sqrt{1+\sqrt(3) i}=p+iq

Squaring both sides

1+\sqrt(3) i=p^2-q^2+2ipq

Comparing real and imaginary part

Re(LHS)=Re(RHS)

1=p^2-q^2...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

q=\frac{\sqrt{3}}{2p}

Substitute q in equation (1)

1=p^2-(\frac{\sqrt{3}}{2p})^2

p^4-p^2-0.75=0

Let x=p^2

x^2-x-0.75=0

x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}

x=\frac{1\pm 4}{2}

we take only Positive value because p^2=x

x=2.5  

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thus p=\pm 1.58

q=\pm 0.548

thus,

\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)

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The length of a rectangle is three times it’s width. The area of the rectangle is 48 square centimeters. Find the measures of th
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Define length and width
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Let the width be x
Width = x
Length = 3x

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x(3x) = 48
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x² = 48 ÷ 3
x² = 16
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Find length and width
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