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BARSIC [14]
3 years ago
5

1. Which of the following equations have rational solutions?

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

<h2>1. A. and C.</h2><h2>2. C.</h2>

Step-by-step explanation:

1.\\\bold{YES}\\A.\ (x+5)^2=49\iff x+5=\pm\sqrt{49}\\\\x+5=\pm7\qquad\text{subtract 5 from both sides}\\\\x=-13\in\mathbb{Q}\ or\ x=2\in\mathbb{Q}\\\\C.\ x^2=81\iff x=\pm\sqrt{81}\\\\x=\pm9\in\mathbb{Q}\\\\\bold{NOT}\\B.\ x^2=12\to x=\pm\sqrt{12}\notin\mathbb{Q}\\D.\ (x-1)^2=20\to x-1=\pm\sqrt{20}\notin\mathbb{Q}

\bold{YES}\\C.\\x^2+12x+36=0\\\\x^2+2(x)(6)+6^2=0\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+6)^2=0\iff x+6=0\qquad\text{subtract 6 from both sides}\\\\x=-6\\\\\bold{NOT}\\A.\\3x^2+x-2=0\\3x^2+3x-2x-2=0\\3x(x+1)-2(x+1)=0\\(x+1)(3x-2)=0\iff x+1=0\ \vee\ 3x-2=0\\\text{two different solutions}\\B.\\x^2-15x+36=0\\x^2-12x-3x+36=0\\x(x-12)-3(x-12)=0\\(x-12)(x-3)=0\iff x-12=0\ \vee\ x-3=0\\\text{two different solutions}

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$46,819 is the average unemployed salary

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Help and explain I can't get this wrong
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I'm assuming we're solving for x.

One property of a straight line is that the angles that make a straight line have to add up to 180 degrees.

Given this information, we know that 4x + 5 + 41 = 180
4x + 46 = 180
4x = 134

x = 134/4 = 33.5
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You deposit $200 in an account earning 8% interest compounded annually. How much will you have in the account in 20 years?
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4 0
3 years ago
13 + {16 + 2 -[25 + 45) x 3] + 9}
Goshia [24]

Answer: -170

Concept:

When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.

  • <u>P</u>arenthesis
  • <u>E</u>xponents
  • <u>M</u>ultiplication
  • <u>D</u>ivision
  • <u>A</u>ddition
  • <u>S</u>ubtraction

Solve:

**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.

<u>Given expression</u>

 13 + {16 + 2 - [(25 + 45) × 3] + 9}

<u>Do the parenthesis of the inner most</u>

=13 + {16 + 2 - [70 × 3] + 9}

=13 + {16 + 2 - 210 + 9}

<u>Do addition first, then subtraction</u>

=13 + {18 - 210 + 9}

=13 + {27 - 210}

=13 - 183

=-170

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
If x=5 and y=2,work out the value 2x squared
posledela

Answer:

50

Step-by-step explanation:

You are solving for 2x². You do not need the value of y, nor the variable itself.

You are given: x = 5

Plug in 5 for x.

2x² = 2(5²).

Remember to follow PEMDAS. First, solve the exponent, then multiply:

5² = 5 * 5 = 25

2 * 25 = 50

50 is your answer.

~

4 0
3 years ago
Read 2 more answers
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