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
kirill [66]
4 years ago
13

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

Mathematics
1 answer:
beks73 [17]4 years ago
3 0

Answer:

b =± 5 sqrt(3)

Step-by-step explanation:

f(b) = b^2 – 75

To find the roots set the equation equal to zero

b^2 -75 =0

Add 75 to each side

b^2 – 75+75 = 0+57

b^2 = 75

Take the square root of each side

sqrt(b^2) = ±sqrt(75)

b = ±sqrt(3*25)

We know that sqrt(ac) = sqrt(a) sqrt(c)

b = ±sqrt(3)*sqrt(25)

b =± 5 sqrt(3)

You might be interested in
Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must be sell in order to earn $3000?
Karolina [17]
Use a variable to solve for this.

x * .08 = 3000

Divide by .08 on both sides.
x = 37500

We can check this by inputting 37500 for x.

37500 * .08 = 3000
3000 = 3000

Kenya Kon must earn $37500 to earn $3000.
8 0
3 years ago
Read 2 more answers
ASAP Help!!!!!
Nina [5.8K]

19/6

it has to be a fraction

3 0
4 years ago
Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra
katen-ka-za [31]

You made a mistake with the probability p_{j}, which should be p_{i} in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer j, is given by:

(1) \frac{p_{j} }{1-d_{i}p_{i}  } , if j \neq i, and

(2) \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  } , if j = i.

so we can say:

A is the event that you search drawer i and find nothing,

B is the event that you search drawer i and find the paper,

C_{k}  is the event that the paper is in drawer k, k = 1, ..., n.

this gives us:

P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}

P(A) = 1 - P(B) = 1 - d_{i} p_{i}

Solution to Part (1):

if j \neq i, then P(A \cap C_{j} ) = P(C_{j} ),

this means that

P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)}  = \frac{P(C_{j} )}{P(A)}  = \frac{p_{j} }{1-d_{i}p_{i}  }

as needed so part one is solved.

Solution to Part(2):

so we have now that if j = i, we get that:

P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}

remember that:

P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}

this implies that:

P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )

so we just need to combine the above relations to get:

P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  }

as needed so part two is solved.

8 0
4 years ago
Which system of inequalities is shown?
Yuliya22 [10]

Answer:

B.

Step-by-step explanation:

The horizontal dashed line with shading above is y > 4.

The diagonal line is y > x.

Answer: B.

3 0
2 years ago
The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold? 1 L≈1.06 qt
My name is Ann [436]
Most people have trouble deciding on what conversion factor to use. If there you use one conversion factor, and you get something like this:

(gal^2)/qt

Then you know that you used the wrong conversion factor. ALWAYS remember to multiply and divide your units. If you don't, you will not know whether or not you got what you were looking for.

4 0
3 years ago
Other questions:
  • How many times can 8 go into 53 ?
    9·2 answers
  • Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.
    9·1 answer
  • Which of the following problems can be solved by finding 4 divided by 2/3?
    15·1 answer
  • $12.99 Original Price and 25% discount what is the total.
    7·1 answer
  • !!!PLEASE ANSWER!!!
    8·1 answer
  • Which of the following is the best definition of the domain of a relation
    9·2 answers
  • Use Pythagorean theorem :) thanks <33333333333333333333 will give b
    7·1 answer
  • This is for my sister and she needs big help!
    13·1 answer
  • consider the series ∑n=1[infinity]4n 2. let sn=∑i=1n4i 2 be the n-th partial sum; that is the sum of the first n terms of the se
    8·1 answer
  • Question 1 (Essay Worth 10 points)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!