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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.

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Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.
timama [110]

The solution of the equation is  x=\frac{11}{7}

Step-by-step explanation:

To simplify an equation of x

  • Simplify each side of the equation
  • Collect x in side and the numerical terms in the other side
  • Find the value of x

∵ The equation is 2x + \frac{1-x}{4}=3

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is 4(2x) +4 (\frac{1-x}{4})=4(3)

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ x=\frac{11}{7}

The solution of the equation is  x=\frac{11}{7}

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

3 0
3 years ago
In the triangle below, b = _____. If necessary, round your answer to two decimal places.
lara [203]
Angle B=180-(38+31.6)=110.4
by law of sin
sin B/b=sinA/A
sin(110.4)/b=sin38/25
b=25*sin(110.4)/sin(38)=38.06
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3 years ago
The maximum weight on a roller coaster is 400 pounds. If your friend weighs 120 pounds, what is the most that you can weigh so y
wolverine [178]
The maximum weight on a roller coaster is 400 pounds (Max = 400).
If your friend weighs 120 pounds (y = 120), what is the most you can weigh so you can ride together (x + y < 400).

x + 120 <_ 400.
y = 120

Subtract 120 from both sides.

x <_ 280.

You can weigh at most 280 pounds (x <_ 280).

I  hope this helps!
7 0
3 years ago
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