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
Oliga [24]
3 years ago
12

True or false: The roots of a certain quartic equations are +-1, 0, and 1+i. (All equations mentioned have real coefficients)

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0
Well there are alot of variables false
You might be interested in
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:
kondaur [170]
\text{Proof by induction:}
\text{Test that the statement holds or n = 1}

LHS = (3 - 2)^{2} = 1
RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS
\text{Thus, the statement holds for the base case.}

\text{Assume the statement holds for some arbitrary term, n= k}
1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}

\text{Prove it is true for n = k + 1}
RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}

LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}
= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}
= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}
= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}
= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}
= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}
= \frac{k(6k^{2} + 15k + 11) + 2}{}
= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}
= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}
= RHS

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.
3 0
3 years ago
A bag contains a variety of different colored marbles. P( red)= 1/2, P( green) = 1/4, and P( red and green) = 1/8 , which statem
Veronika [31]

Answer:

Step-by-step explanation:

The 1 choice. The events are independent because P(red) ×P(green)= P(red and green)

6 0
3 years ago
Read 2 more answers
Which story represents the graph below?
-BARSIC- [3]

Answer:

c. both

Step-by-step explanation:

6 0
3 years ago
Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x
aev [14]

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔  P  = k Q    ⇔ k = \frac{P}{Q}

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which  x ∝y

y  = 81/3 x

Here, \frac{y}{x} = \frac{81}{3}  = 27 \ne 9

So, here Proportionality Constant ≠ 9

y = 9 x

Here, \frac{y}{x} =  9

So, here Proportionality Constant = 9

y = 3 x

Here, \frac{y}{x} =  3 \ne 9

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, \frac{y}{x} =  \frac{1}{9}  \ne 9

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

8 0
3 years ago
What are the zeros of the quadratic function? f(x)=3x2−300 Enter your answers in the boxes.
nata0808 [166]
Hi there!

We can find the zeros of a function by solving f(x) = 0. We find the following:

3 {x}^{2} - 300 = 0
Add 300 to both sides.

3 {x}^{2} = 300
Divide by 3.

{x}^{2} = 100
Take the root and minus root of both sides.

x = \sqrt{100} = 10 \\ or \\ x = - \sqrt{100} = - 10

Therefore, the zeros are
x = 10 and x = -10.

~ Hope this helps you!
5 0
3 years ago
Other questions:
  • True or false
    5·1 answer
  • -5^2 find the power
    9·2 answers
  • Five teachers and five students want to but ice cream from the cafeteria. The cafeteria sells chocolate,strawberry,cotton candy,
    7·1 answer
  • So we are suppose to Factor each expression, But I’m having trouble with that, Can someone help me?
    12·1 answer
  • 20 pts awarded and brainliest chosen!!!!
    10·1 answer
  • Is the relationship linear,exponential, or neither ?
    9·1 answer
  • A grocery store recently sold 10 cans of soup, 5 of which were lentil soup. What is the experimental probability that the next c
    12·1 answer
  • Josie is making pizza dough. Complete the double number line by filling in the missing values
    8·1 answer
  • A girl can run 6 2/3 metres in one second. How long will it take her to run 100 metres?
    11·2 answers
  • 29 = v+17 what the answer cs ion get it
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!