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
Blababa [14]
3 years ago
8

Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots

for this function?
f(x) has three imaginary roots.
f(x) has three real roots.
f(x) has two real roots and two imaginary roots.
f(x) has three real roots and one imaginary root.
Mathematics
2 answers:
Helen [10]3 years ago
7 0

Answer:

Three real roots

Step-by-step explanation:

marta [7]3 years ago
4 0

Answer:

Step-by-step explanation:

A third degree polynomial has a <em>total of three roots</em>, real and imaginary combined.

If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.

You might be interested in
What is the answer for 4x + 2y = 12
sesenic [268]

Answer:

(1,4), (2,2) (3,0)

Step-by-step explanation:

adjust the equation so that the y is isolated so subtract 4 x

2y=4x +12

Every number is divisible by 2 so you can further isolate the y

y=-2x+6

Plug your x coordinates into the equation so get the y coordinates

6 0
3 years ago
Read 2 more answers
A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. approximately how long is the ladder fro
maks197457 [2]
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
 
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places. 

The ladder is approximately 43.0116 feet long. 
4 0
3 years ago
What are the steps to this equation: (X-6)2. The 2 is the exponent
Flauer [41]
(  x - 6)² = x² - 12 x + 36 
3 0
3 years ago
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
If Jeremy drinks 1 1/2 quarts of coffee every 3 days, how many liters of coffee would Jeremy drink in 3 weeks? (1 quart = 0.946
Nostrana [21]

Answer:

9.93 liter approximately 10 liter

Step-by-step explanation:

3 days = 3/2 quart

3 week = 3/2/3 × 21 quarts

= 1/2×21

=21/2 quarts

now

1 quart = 0.946 liter

21/2 quart = 0.946×21/2 liter

21/2 quart = 9.93 liter

8 0
2 years ago
Other questions:
  • A jeweler has 5 rings, each weighing 12 g, made of an alloy of 20% silver and 80% gold. She decides to melt down the rings and a
    9·1 answer
  • A Springer Spaniel weighs 20 kilograms 490grams. A Cocker Spaniel weighs 7,590 grams less than a Springer Spaniel. A Newfoundlan
    12·1 answer
  • The sum of a number and 17 is no less than 26
    7·2 answers
  • Find.the slope that passes they 3,5 &amp; 5,8
    9·2 answers
  • When rolling a die (1) what's the probability of getting an even number in two successive throws??​
    12·1 answer
  • Which expression is represented by the model?<br> x-3<br> x+3<br> -X-3<br> -X+3
    6·2 answers
  • The ping pong ball is a sphere and has a volume of 1.77in. What is the diameter of the ping pong ball?
    15·1 answer
  • SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, an
    12·1 answer
  • HELP PLEASEEEEEE!!!!!!!​
    8·2 answers
  • It takes Max 9 minutes to read 10 pages of his book. Which equation represents the
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!