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3 years ago

Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 8x - 10 = 18

Mathematics

1 answer:

agasfer [191]3 years ago

8 0

X²-8x=28,
x²-2*4x +16=28+16
(x-4)²=44

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A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in

lina2011 [118]

Answer:100

Step-by-step explanation:

There are ten total people:

10C3

10!/(7!×3!) = 120

Note: but that includes all the cases where there are no senior partners

So firstly let figure out the number of cases where there are no senior partners

because there are 6 junior partners

6C3

= 6!/(3!×3!) = 20

120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.

8 0

3 years ago

I need help please will mark you as brainliest

Whitepunk [10]

Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

8 0

3 years ago

Read 2 more answers

What is 4x(5x-2)=20x-2

Zanzabum

Answer: x = 1.32 and x= 0.076

Step-by-step explanation:

4x(5x-2) = 20x-2

20x^2-8x = 20x-2

20x^2-8x-20x+2=0

20x^2-28x+2=0

Using quadratic equation

x = (-b +or- √(b^2-4ac))/2a

a =20, b=28, c= 2

Substitute into the equation

x= (7+√39)/10. = 1.32

x = (7-√39)/10 = 0.076

7 0

2 years ago

A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the

zepelin [54]

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

$\dfrac{1593}{2451} \times 100 = 64.99\%$

So, option A is not correct.

Percentage of girls who play video games:

$\dfrac{1361}{2996} \times 100 = 45.43\%$

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

$\dfrac{2493}{5447} \times 100 = 45.77\%$

So, option C is not correct.

7 0

3 years ago

A group of 485 people take a canoe trip. They fill up all avalible canoes that each hold 3 people with 273 people. The rest of t

Jobisdone [24]

Answer:
3c=273
c=91
2c= 212
C= 106
c= 91+ 106= 197
so they will need 197 canoes total

Why:
So first you have to determine a set variable to represent the number of canoes, I chose C. Then you make an equation to represent the number of canoes 273 people will use if they group into 3's, from this I got 3c=273. Solve for C and get 91.
The remainder of the group which is 485-273= 212 will use canoes in groups of 2's. To represent this, 2c=212. Solve for C and get 106. Combine 106 and 91 to get the total number of canoes.

4 0

3 years ago

Read 2 more answers