Mathematics, 29.05.2021 01:00 BePaige

Solve using the quadratic formula. Approximate answers to the nearest tenth.

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Answer from: jchay02

$\displaystyle x = 2, \ 3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: $\displaystyle x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Step-by-step explanation:

Step 1: Define

Identify variables

x² - 5x + 6

↓

a = 1, b = -5, c = 6

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x = \frac{5 \pm \sqrt{(-5)^2-4(1)(6)}}{2(1)}$ [√Radical] Evaluate exponents: $\displaystyle x = \frac{5 \pm \sqrt{25-4(1)(6)}}{2(1)}$ [√Radical] Multiply: $\displaystyle x = \frac{5 \pm \sqrt{25-24}}{2(1)}$ [√Radical] Subtract: $\displaystyle x = \frac{5 \pm \sqrt{1}}{2(1)}$ [√Radical] Evaluate: $\displaystyle x = \frac{5 \pm 1}{2(1)}$ Multiply: $\displaystyle x = \frac{5 \pm 1}{2}$ Add/Subtract: $\displaystyle x = \frac{4}{2}, \ \frac{6}{2}$ Divide: $\displaystyle x = 2, \ 3$

Answer from: Quest

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.
Which table shows a proportional relationship between x and y

Which table shows a proportional relationship between x and y

Answer from: Quest

95.03 is the answer. hope this !

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Solve using the quadratic formula. Approximate answers to the nearest tenth.
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