Answer: x = the quantity of 5 plus or minus the square root of 29 all over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 5x - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the given quadratic equation,
a = 1
b = - 5
c = - 1
Therefore,
x = [- - 5 ± √(- 5² - 4 × 1 × - 1)]/2 × 1
x = [5 ± √(25- - 4)]/2
x = [5 ± √29]/ 2
x = ( 5 + √29)/- 2 or x = (5 - √29)/2
Answer:
- 300 -- venue cost
- 24 -- cost for each couple
- x -- the number of couples
- 24x the cost associated with all couple
- 300+24x -- the total cost for the dance
Step-by-step explanation:
Given the scenario that cost is $300 for the venue and $24 for each couple attending a dance at that venue, you want to know the meaning of the variables and terms in 300 +24x.
<h3>Comparison</h3>
You can compare the terms, coefficients, and variables in the given expression with the parts of the problem statement.
- 300 is a constant term that corresponds to "$300 for a venue rental'
- 24 is a coefficient that corresponds to "$24 for each couple"
- x is a variable representing the number of "couple that attends"
- 24x is a term representing the cost associated with "$24 for each couple that attends"
That is, the cost associated with the number of people attending is $24 times the number of couples: 24x. The expression 300+24x is the total of the fixed venue cost and the per-couple costs
Answer:
86
Step-by-step explanation:
https://www.mathsteacher.com.au/year8/ch06_ratios/03_inc/Image13125.gif
The required percentage of leagues that have fewer than 7 teams is 25%
Box plots and Quartiles
A boxplot is a standardized way of displaying the distribution of data based on a five number summary. It consists of the minimum point, m<u>aximum point, quartiles and medians</u>
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From the given boxplot, you can see that football league that have fewer than 7 teams occupies 1/4th of the total team. Hence the required peprcentage will be;
Percentage of those that have fewer than 7 teams = 1/4 * 100
Percentage of those that have fewer than 7 teams = 25%
Hence the required of leagues that have fewer than 7 teams is 25%
Learn more on boxplot here: brainly.com/question/14277132
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Answer:8:7
Step-by-step explanation:
16:14 divided by 2 = 8:7