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3 years ago

What types of solutions does 6x^2 - 20x + 1 have?

Mathematics

1 answer:

elena55 [62]3 years ago

3 0

Answer:

2 real solutions

Step-by-step explanation:

We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:

b² - 4ac

If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.

Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:

b² - 4ac

(-20)² - 4 * 6 * 1 = 400 - 24 = 376

Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.

<em>~ an aesthetics lover</em>

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Vika [28.1K]

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2 years ago

Wren bought a baseball card last year for $2.25. This year the price dropped to $.45. What was the percent of decrease in the pr

const2013 [10]

The price:
- last year: $2.25
- this year: $.45
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Answer:
The percent of decrease is A ) 80%

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3 years ago

Given the recursive formula shown, what are the first 4 terms of the sequence?

jeyben [28]

Answer:

B. 5, 20, 80, 320.

Step-by-step explanation:

f(1) = 5

After the first rem, each term id 4 times the previous term, so:

f(2) = 4f(1) = 4*5 = 20.

f(3) = 4f(2) = *20 = 80

f(4) = 4(f3) = 4*80 = 320.

6 0

3 years ago

Alexis scale drawing represents the longest side of the storage bin as 2 3/4 inches. What is the actual length, in feet, of the

Whitepunk [10]

Answer: The correct answer is C,

5 1/2 feet

Step-by-step explanation:

Alexis' scale drawing represents the longest side of the storage bin as 2 3/4 inches. Converting to improper fraction, it becomes 11/4 inches. This is also 2.75 inches.

The scale used is 1/2 inch = 1 feet. This means that a length of 1 feet of the longest side of the actual storage bin is 1/2 inch on the drawing.

Let the actual length, in feet of the longest side of the storage bin be x feet. Therefore

If 0.5 inch = 1 feet

2.75 inch = x

0.5x = 2.75 × 1

x = 2.75/0.5 = 5.5 feet

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3 years ago

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<h2>Answer with explanation:</h2>

Confidence interval for mean, when population standard deviation is unknown: