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
Dominik [7]
3 years ago
9

Determine and describe the ​number​ and ​type​ of roots of the quadratic functions. Show any and all work necessary to determine

your answer. Justify your answer with appropriate reasoning. a) y=3x^2+7x+8 b) y=2x^2-7x-2 c) y=9x^2+30+25
Mathematics
1 answer:
algol133 years ago
7 0

Answer:

See explanations below

Step-by-step explanation:

The root of a quadratic equation is determined by its discriminant

D = b²-4ac

If D > 0, the roots are real and unique

If D < 0, the roots are complex

If D= 0, the roots are real and equal

a) For the quadratic equation

y=3x^2+7x+8

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 3,  b = 7 and c = 8

Get the discriminant

D = 7²-4(3)(8)

D = 49 - 96

D = -47

Since the discriminant value is less than 0, hence the roots are complex roots

b) For the quadratic equation

y=2x^2-7x-2

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 2,  b = -3 and c = -2

Get the discriminant

D = (-3)²-4(2)(-2)

D = 9 + 16

D = 25

Since the discriminant value is greater than 0, hence the roots are real and unique.

c) For the quadratic equation

y=9x^2+30x+25

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 9,  b = 30 and c = 25

Get the discriminant

D = 30²-4(9)(25)

D = 900 - 900

D = 0

Since the discriminant value is equal to 0, hence the roots are complex real and equal

You might be interested in
Jaime wants to know how fast she can type, so she times herself as she types a paper. The paper has 429 words in it, and Jaime t
vitfil [10]
Her typing rate is 33words per minute
3 0
3 years ago
The ratio 60:40 in its simplest form is?
Tom [10]

Answer:

3:2

Step-by-step explanation:

60 : 40   / 10\\6:4/2\\3:2

4 0
3 years ago
Determine in which direction the parabola below opens. y = x2 - 7x + 18?
Eddi Din [679]
I need help with the answer

8 0
3 years ago
What is the unit rate 25 for $50.00
PolarNik [594]

Answer:

1/2

Step-by-step explanation:

For every 1 item bought, $2.00 are spent.

<em>Brainliest please!</em>

3 0
3 years ago
Read 2 more answers
Jacey has 40 pizzas to sell in the concession
Alchen [17]
ANSWER: In theory the answer is (16.6)Pizzas

Step by Step EXPLANATION : 16% of 40 is 6.4 that means she sold 6 full pizzas and 0.4 parts of one pizza
add that to 18 is 24.4 pizzas sold and 16.6 to go.
4 0
3 years ago
Other questions:
  • 4. Suppose that Peculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply thr
    8·1 answer
  • Which shows the correct way to find <br> 1<br> ,<br> 745<br> ×<br> 47<br> ?<br> 1,745×47?
    8·1 answer
  • How do you find the answer y and what is the answer?
    5·1 answer
  • Which graph shows a dilation of the triangle with a scale factor of 3
    9·2 answers
  • 20.   7.2 x 12 x 0.23 = ? Round to the nearest hundredth. A. 19.43 B. 19.44 C. 19.87 D. 19.88
    9·1 answer
  • On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
    5·1 answer
  • If each of the following questions were asked to a group of second graders, which question would NOT be a statistical question?
    15·1 answer
  • Joan has raised $306 by selling 34 equally priced boxes of chocolate for the team fund-raiser. Which of the following equations
    11·2 answers
  • Need help with this ASAP! thank you!
    13·1 answer
  • Once upon a time I weighed 120 pounds. Now I weigh 225 pounds. What is the percent change?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!