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Novay_Z [31]
3 years ago
7

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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50 points!!! Please help ASAP!!!
Vika [28.1K]

Answer:

h (x)=-16x^(2)+3x+35 =

x-intercept(s): (3+√224932,0),(3−√2249 32,0)

y-intercept(s): (0,35)

3 0
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
The decrease: $2.25 - $.45 = $1.80
2.25 : 1.80 = 100 : x
2.25 x = 180
x = 180 : 2.25
x = 80
Answer:
The percent of decrease is  A ) 80%
4 0
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

6 0
3 years ago
Construct a 99% confidthence interval for the population mean .Assume the population has a normal distribution. A group of 19 ra
Kobotan [32]
<h2>Answer with explanation:</h2>

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

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean

n= sample size

s= sample standard deviation

t_{\alpha/2} = Critical t-value for n-1 degrees of freedom

We assume the population has a normal distribution.

Given, n= 19 , s= 3.8 , \overline{x}=22.4

\alpha=1-0.99=0.01

A) Critical t value for \alpha/2=0.005 and degree of 18 freedom

t_{\alpha/2} = 2.8784

B) Required confidence interval:

22.4\pm ( 2.8744)\dfrac{3.8}{\sqrt{19}}\\\\=22.4\pm2.5058\\\\=(22.4-2.5058,\ 22.4+2.5058)=(19.8942,\ 24.9058)\approx(19.9,\ 24.9)

Lower bound = 19.9 years

Uppen bound = 24.9 years

C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .

5 0
3 years ago
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