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
zheka24 [161]
3 years ago
13

X^2 - 9x -10 =0 has a discriminant of: a. 121 b. 72 c. -359 d. 41 e. 136

Mathematics
1 answer:
Feliz [49]3 years ago
7 0
In the standard form of quadratic
ax^{2} +bx+c
the discriminant is
b^{2} -4ac
In your quadratic, a = 1, b = -9 and c = -10
Now you need to plug these values into the expression for the discriminant.
You might be interested in
Lunch at school consists of a sandwich, a vegetable, and a fruit. Each lunch combination is equally likely to be given to a stud
daser333 [38]

Answer:

a) see attachment

b) Pr(chicken sandwich, carrots, and a banana) = 1/12

c) The probability that Sol gets at least one of his favorite = 5/6

Step-by-step explanation:

a) A tree diagram is used to represent sample space.

We are told the lunch choices are sandwich, a vegetable and a fruit and each lunch combination are possible.

Find attached the tree diagram.

From the tree diagram, there are a total of 12 possible outcomes.

b) Sol's favorite lunch is a chicken sandwich, carrots, and a banana.

The probability that Sol gets his favorite lunch = Pr(chicken sandwich, carrots and a banana)

Pr(chicken sandwich, carrots, and a banana) = 1/12

Reason: From the tree diagram, the likelihood of having all three (chicken sandwich, carrots and a banana) occurs only once.

Pr(chicken sandwich, carrots and a banana) = [number of times(chicken sandwich, carrots and a banana) occurs]/(total number of possible outcomes)

Pr(chicken sandwich, carrots, and a banana) = 1/12

c) For Sol to get at least one of his favorite, we would have at least either chicken, carrot or banana in the possible outcome.

We have 10 of such possible outcome:

Chicken, carrot and apple

Chicken, carrot and banana

Chicken, spinach and apple

Chicken, spinach and banana

Hamburger, carrot and apple

Hamburger, carrot and banana

Hamburger, spinach and banana

Turkey, carrot and apple

Turkey, carrot and banana

Turkey, spinach and banana

The probability that Sol gets at least one of his favorite = (total number of at least one of Sol's favorite lunch)/(total possible outcome)

= 10/12 = 5/6

The probability that Sol gets at least one of his favorite = 5/6

4 0
3 years ago
Solve by using substitution.<br><br> =3−8<br><br> =−4
garik1379 [7]

Answer:

I'm going to assume that you meant y=3x-8 and y=-4

This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.

Hope I helped have a nice day :)

3 0
2 years ago
31-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece
pychu [463]

"31-inch piece of steel is cut into three pieces"

Call the pieces a,b,c

a + b + c = 31

"second piece is twice as long as the first piece"

b = 2a

"third piece is one inch more than seven times the length of the first piece"

c = 1 + 7a

Ok, we have our equations, let's substitute the second and third into the first.

a + 2a + 1 + 7a = 31

10a + 1 = 31

10a = 30

a = 30/10 = 3

b = 2a = 6

c = 1 + 7a = 22

Check: 3 + 6 + 22 = 31, good

Answer: 3 inches, 6 inches, 22 inches


4 0
3 years ago
Helen Weller invested 10,000 in an account that pays 3% simple interest. how much additional money must be invested in an accoun
Naddika [18.5K]

Answer:

3% is 300 in intrest

6% is 600 in intrest

4% is 400 in intrest

Step-by-step explanation:

4 0
3 years ago
Ted has a shelf that is 75/4 inches wide. How many books can Ted arrange on the shelf if each book is 5/4 inches thick?
Paladinen [302]
(75/4) / (5/4) = 
75/4 * 4/5 = 
300/20 =
15 books

6 0
3 years ago
Other questions:
  • PLEASE HELP!! <br><br>Complete the equation.<br><br> (13)^2 (13)^-14 (13)^5 = 13 [ ]a0
    9·2 answers
  • Can someone help me on questions 10-15
    5·1 answer
  • Can somebody help me with the rest of the question
    11·1 answer
  • Answer #6 and tell the steps of how u did it
    9·1 answer
  • Which equation matches the graph
    7·1 answer
  • Please help! all answers are appreciated​
    8·2 answers
  • Factor each<br> x^3 +2x^2 -4x -8 =0
    13·2 answers
  • What are factored forms of the following expressions unit 3
    7·1 answer
  • The following graph shows how many gallons of water leaves a bucket every hour.
    8·1 answer
  • Solve system of equation using elimination by addition.<br><br> Will give brainliest!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!