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Black_prince [1.1K]
3 years ago
9

What are the solutions of x^2+6x=10

Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

x=-3+√19, x=-3-√19

Step-by-step explanation:

x^2+6x=10

x^2+6x-10=10-10

x^2+6x-10=0

a=1 b=6 c=-10 - use the quadratic formula

x=-3+√19, x=-3-√19

I hope this helps!

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Which of the following sets of lengths can be used to form the sides of a triangle? Explain your reasoning.
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Answer:A can be use to form a triangle.

Step-by-step explanation:

a+b>C

5+18 >20

23>20

SO this is a triangle since if you add A and B together it is greater than C.

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My thesaurus has 234 pages plus two-thirds of its total number of pages. how many pages has my thesaurus
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234 pages + 2/3 of 234
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2 years ago
Task Directions: Ms. Chang's class decides to order posters that advertise a walkathon to raise money for
mamaluj [8]

Answer:

a.

Clear Prints = 2p

Sue = 15 + 0.5p

b.  10 posters

c.  See Below

d.  Clear Prints

e. See Below

Step-by-step explanation:

<u>Complete Question:</u>

<em>Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.</em>

<em>a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.</em>

<em>b. For what number of posters is the cost the same for both companies? Explain.</em>

<em>c. Which company do you think the class should buy posters from? Explain your reasoning.</em>

<em>d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? </em>

<em>e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?</em>

<em />

<u>Solution:</u>

a.

Let the number of posters be "p" so

Clear Print would take 2 * p or "2p"

Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"

b.

We want cost of both to be same. So we can equate:

2p=15 + 0.5p

Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:

2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10

So, for 10 posters, the cost of both will be same

c.

It depends.

If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.

d.

If the budget is $18, they can get:

Clear Prints = 18/2 = 9 posters made

Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3

At 0.5 per poster, 3/0.5 = 6 posters

So, taking Clear Prints would be better.

e.

The budget of 18 is increase by 10, so the budget is:

18 + 10 = $28

From clear prints, you can get:

28/2 = 14 posters

From Sue, you can get:

28 - 15(fixed cost) = 13 left for posters

13/0.5 = 26 posters

Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.

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HELP ASAP (math)(6th grade)
nlexa [21]
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asambeis [7]

Answer:

No evidence .because the configurations factors and failure mode are independent

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Determine if there is sufficient evidence to conclude that configuration affects the type of failure

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assuming <em>Pij </em>represents proportion of items in pop i of the category j

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16.10 , 43.58 , 18, 12.31

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x^2 = 13.25

test statistic = 14.44. Hence the significance level where Null hypothesis will be acceptable will be = 2.5%

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