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
kotykmax [81]
3 years ago
7

The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the

value of b and c?
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
  • 25 - 81(-1) = -c
  • - c = 25 + 81
  • - c = 106
  • c = -106

g(x) = -x² -10x - 106

You might be interested in
At a high school basketball game the lions and the eagles are playing. the lions attempted 16 free throws and made 13, attempted
vampirchik [111]

<u>Answer:</u>

a. The free throw percentage obtained by the Lions is of <em>81.25%</em>.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

Solution:

a. The lions attempted 16 free throws and made 13, which means lions scored 13 out of 16,

The free throw percentage obtained by the Lions = \frac{13}{16}<em> × 100 = 81.25%</em>

The free throw percentage obtained by the Lions is <em>81.25%</em>

b. The eagles attempted 27 free throws and made 7 which means 7 out of 27, so:

The free throw percentage obtained by the eagles = \frac{7}{27} × 100 = 25.92 %

The free throw percentage obtained by the eagles is 25.92 %

c. The lions attempted 51 two-point shots and made 22, and attempted 16 three-point shots and made 10.

Total attempted = 51 + 16 = 67

Total shots made = 22 + 10 = 32

The field goal percentage (two-point and three-point shots combined) for the Lions = \frac{32}{67} × 100 = 47.76 %

The field goal percentage for the Lions was of 47.76 %.

d. The eagles attempted 41 two-point shots and made 19, and attempted 16 three-point shots and made 7.

Total attempted = 41 + 19 = 60

Total shots made = 19 + 7 = 26

The field goal percentage (two-point and three-point shots combined) for the eagles= \frac{32}{67} × 100 = 43.33 %

The field goal percentage for the eagles was of 43.33 %.

e. Total goals secured by lions 13 free throws, 22 two's and 10 three's. So

Total points = 10 × 1 + 22 × 2 + 10 × 3 = 84

The Lions scored 84 points.

f. Total goals secured by eagles 7 free throws, 19 two's and 7 three's. So

Total points = 7 × 1 + 19× 2 + 7 × 3 = 66

The eagles scored 66 points.

<h3>What is percentage?</h3>

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Know more about percentage problems brainly.com/question/15583541

#SPJ4

8 0
2 years ago
Sarah and her friends laid down two beach blankets. The blankets are the same length but of different widths. The distributive p
Masja [62]

Answer:The width of the orange blanket is 23 inches.

Step-by-step explanation:

The total of both lengths is 75.We know  that the green blanket is 52 so 75-52 = 23 which is the width of the orange blanket

7 0
3 years ago
PLEASE HELP ASAP!!!!!! <br><br> What is the length of line segment CD?
Korvikt [17]

4 x 2 = 8 its impossible to have 7 and 8 units 

35 can't be divided by 4 

the answer left is 28 units, which can be multiplied by 4
7 x 4 = 28 


The answer is 28 units
4 0
3 years ago
Hey can you please help me posted picture of question
ruslelena [56]
Answer:
Two 

Explanation:
The solution of a system of equations is defined as the values which satisfies both equations.

Graphically, the solutions are represented by the points of intersection between the two equtaions.

In the given graph, we have a circle and a line, we can note that these two intersect in two points.

This means that the system has two solutions

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Can someone help me please 
gayaneshka [121]
Wow !  If I understand what's go0ing on here, then
we have to be careful, and THINK .

I was going to ask you "What does  Ф  mean ?", and then I realized,
Ф is a new operation that the teacher invented.

The first line on the board is the definition of Ф .

Ф means "<u>Add the two numbers and subtract 4</u>."

Now you have to use this new invention to find the value
of the second line:

Take care of the stuff inside the parentheses first: ( 4 Ф 2 )
<u>Add the two numbers and subtract 4
</u>4 + 2 - 4 = <u>2</u><u>
</u>That's the part inside the parentheses. It's <span><u>2</u> .</span><u>

</u>NOW, we have to do the new operation with the 2 inside,
and the 3 that's outside the parentheses:<u>

</u>3 Ф 2
<u>Add the two numbers and subtract 4</u>
3 + 2 - 4 =<u> 1</u>

And that's the final value of 3 Ф (4 Ф 2) .  It's <u>1</u> .

Pretty sneaky.

<u />



6 0
3 years ago
Read 2 more answers
Other questions:
  • 25. If the scale factor of two similar solids is 3:16, what is the ratio of their corresponding areas and volumes? (1 point) 3:2
    10·2 answers
  • How is 0.246¯¯¯¯ written as a fraction in simplest form?
    10·2 answers
  • Someone please help me I suck @ simplifying thank you
    12·2 answers
  • Simplify the expression 11x − (2x2 + 8x).
    8·1 answer
  • What type of function is f(x)3^(-2x)
    15·1 answer
  • 192 divided by 16. draw a quick picture
    10·1 answer
  • The diameter of a hula hoop is 32 inches. What is the circumference of the hula hoop? Use 3.14 for π (pi).
    15·1 answer
  • HELP DUE IN 10 MINS!<br><br> m∠WXZ =??
    13·1 answer
  • Write an equation of the parabola
    10·1 answer
  • Please do not send me a link to the answers I will have u reported but please answer this in feet
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!