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3 years ago

How do I put these equations into vertex form?

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

I found my notes for this exact paper and I have that first problem written. hopefully this helps

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Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10 minutes sooner than Ella finished it. How many minut

Blababa [14]

Answer:

56.7

Step-by-step explanation:

Just Add all numbers

8 0

3 years ago

Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus

Licemer1 [7]

Answer:

Let the complaints by Industry be CbI

CbI Frequency

Bank 26

Cable 44

Car 42

Cell 60

Collection 28

b) Percentages

CbI percentage (%)

Bank 13

Cable 22

Car 21

Cell 30

Collection 14

c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

7 0

3 years ago

(Set up and solve the system, then answer the associated question)

Dimas [21]

9514 1404 393

Answer:

red division: 6 teams
blue division: 5 teams

Step-by-step explanation:

We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.

r - b = 1 . . . . . . there is 1 more red team than blue

4.5r +4.2b = 48 . . . . . . total goals scored per week

Solving by substitution, we have ...

r = b +1

4.5(b +1) +4.2b = 48 . . . . substitute for r

8.7b +4.5 = 48 . . . . . . . . simplify

8.7b = 43.5 . . . . . . . . . . subtract 4.5

b = 43.5/8.7 = 5 . . . . . divide by 8.7

r = b +1 = 6 . . . . . . . . . find r

There are 6 red teams and 5 blue teams.

_____

<em>Additional comment</em>

The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.

8 0

2 years ago

Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the co

egoroff_w [7]

Answer:

84.24 - 6.24 = p

Step-by-step explanation:

6 0

2 years ago

explain your process of converting a mixed number to an improper fraction.explain your process of converting a improper fraction

Sophie [7]

So I'll start with the mixed number to improper fraction.
Step one - multiply the denominator and the whole number.
Step two- take your product and add it to the numerator
Step three- the sum is the numerator of the mixed number and the original denominator is the denominator
___________________________
Now for improper fraction to mixed number
Step one- see how many times the denominator goes into the numerator (ex. 2 goes into 9, 4 times With one left over)
Step two -the 4 becomes the whole number and the 1 the numerator
Step three- use the same denominator

5 0

3 years ago