Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.
<h3>What is the difference between a rational and a irrational number?</h3>
The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...
<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>
Integers: This refers to numbers that are not expressed as fractions.
Rational decimals: This includes repeating decimals such as 0.4545...
Rational ratios: This includes numbers such as 1/2 or 1/4.
Rational whole numbers such as 0,1,2, etc.
Learn more about rational numbers in: brainly.com/question/17450097
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Answer:
um i dont know
Step-by-step explanation:
Factors of 15 - 1, 3, 5, 15
Factors of 18 - 1, 2, 3, 6, 9, 18
Factors of 30 - 1, 2, 3, 5, 6, 10, 15, 30
Your answer is D
Hope I helped you :-)
