1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mekhanik [1.2K]
3 years ago
12

Which equation has the solutions x = 5+/- 2 the squire root of 7 over 3

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0
If you look at the quadratic formula:

x=(-b±√(b^2-4ac))/(2a)

We can say that -b=5, b=-5

If I read it right you had ±2√7 which is equal to ±√28, and we know b=-5 so:

±√(25-4ac)=±√28

And since 3=2a, a=1.5 making the above:

±√(25-6c)=±√28

25-6c=28

-6c=3

c=-0.5

So a=1.5, b=-5, and c=-0.5 thus 

y=1.5x^2-5x-0.5

We can check this by reapplying the quadratic formula to the equation above

x=(5±√(25-4(1.5)(-0.5))/3

x=(5±√(25+3))/3

x=(5±√28)/3

x=(5±√(4*7))/3

x=(5±2√7)/3
You might be interested in
Simplify 9 x 5/9<br> in 4 mins
Triss [41]

Answer:

5

Step-by-step explanation:

9 x 5/9

9/1 * 5/9

Rewriting

9/9 * 5/1

1 * 5/1

5

6 0
3 years ago
Read 2 more answers
The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
2 years ago
A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work
Snezhnost [94]

Answer:

The result will be inaccurate.

Step-by-step explanation:

A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work in one week?”

He asks the owners of all 120 houses in a Raleigh neighborhood.

The results of such a survey can never be accurate.

Firstly, the sample is not random as the person selected all the 120 houses in the neighborhood.

Secondly, few samples do not represent a large population. The city must have many lawns and the lawns of a single area does not denote the lawns of the entire city.

So, the results will be inaccurate.

8 0
3 years ago
Read 2 more answers
7 dollars is equivalent to what in dimes
Stels [109]

Answer: 70

Step-by-step explanation: 10 dimes = a dollar

10 x 7 = 70 dimes

4 0
2 years ago
Read 2 more answers
The table shows the cost of ordering a certain number of pizzas. What is the
azamat

Answer:

y=px

so the answer would be $49.95

pretty sure

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • In November 2010 The average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46 what was the average
    10·1 answer
  • To calculate 4 1/5% tax on $63.78, multiply 4.2 times 63.78. True or False.
    14·2 answers
  • Write 17000 in decreasing order
    15·1 answer
  • The Drawing of a building, shown below, has a scale of 1 inch to 30 feet. What is the Actual height, in feet, of a building?
    12·1 answer
  • How to sovle this equation
    8·2 answers
  • PLEASE HELP !!!!!!!!!
    14·2 answers
  • What is 524 rounded to nearest 10
    7·2 answers
  • Please help me i really need help please help please
    10·1 answer
  • If the function f(x) = x 2 has the domain {0, 1, 4, 9}, what is its range?
    5·1 answer
  • Find the rational roots f(x) =3x3+ 2x2 + 3x + 6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!