Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
–2.11
–1.86
–0.25
0.25
2.11
Answers
The given function is:
f(x)=x^3-4x-1
What is the solution to an equation?
The solution to an equation is the point where the function value becomes zero.
As we know when f(a).f(b) <0, the root lies in between a and b.
f(-1) = 2
f(0) = -1
f(-1).f(0) = -2
So a solution will lie in between (-1,0).
Similarly,
f(-3) = -ve
f(-2)= -ve
No solution in between -3 and -2
f(-2) = -ve
f(-1) = +ve
One solution in between -2 and -1 i.e. -1.86
f(0) = -ve
f(1) = -ve
No solution in between 0 and 1
f(1) = -ve
f(2) = -ve
No solution in between 1 and 2.
f(2) = -ve
f(3) = +ve
One solution in between 2 and 3 i.e. 2.11
Therefore, the approximate solutions for x are -0.25, -1.86, and 2.11.
The roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
What is the solution of the polynomial?Let a, b, c, and d be the zeroes of the polynomial and k be the leading coefficient.
Then the polynomial is given as,
⇒ k(x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
The zeroes of the polynomial are the intersection points of the curve with the x-axis.
The graph of the polynomial is drawn below.
From the graph, the roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
More about the polynomial link is given below.
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Refer to attachment below;
Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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8.45 * 39 = 329.55
Explanation:
Multiply 8.45 by 39
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Hope this helps!
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Answers
X=10
The answer Is 10
MAX POINTS
WILL GIVE BRANLIEST PLEASE HELP
h(x)=3/x-h +k
Oh no! He seems to be missing some parts though. He was "robbed" of his
asymptotes.
Luckily, he can remember what they were:
1. This functions vertical asymptote was x=-5.
2. This functions horizontal asymptote was y = 12.
Please recreate this function with those identifying features! Please make sure it
looks like the function in the picture
Answers
Let's do
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k[/tex]
Release k for some while
If
we take h=0So
y=3/xSo vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x
put -5 in place of h[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}[/tex]
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}[/tex]
Vertical asymptote at x=-5Now
for k=0 horizontal asymptote at originBut it's given
y is at 12Same put y=12 in place of k
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12[/tex]
h=-5k=12Graph attached for verification
Answer:
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Step-by-step explanation:
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21.
Use the information given to answer the question.
Consider the information about the number of customers that select various frame
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Answer:
Step-by-step explanation:
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Answers
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Answers
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Answer:
3655 use a calculator
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
118
Step-by-step explanation:
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A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New York and 3 intermediate stops on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
5
7
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Answers
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⭐ Question 4(challenging)
What is...
Square root of 61 plus [tex]\pi[/tex] times six to the power of ten
Answers
Answer:
189960102.12251
Step-by-step explanation:
[tex]\sqrt{61}+\pi 6^{10}=\sqrt{61}+60466176\pi[/tex]
Which will have a negative number?
A)
(-3)(-9)
B
(-6) (4)
-4-5
D)
-7-9
Answers
Answer:
[B] (-6)(4)
[C] -4 -5
[D] - 7 -9
Step-by-step explanation:
Note that: {Only with ()}
Negative + Negative = Positive
Negative + Positive = Negative
Positive + Positive = Positive
Hence,
[A] (-3)(-9) =27 Negative + Negative = Positive
[B] (-6)(4) = -24 Negative + Positive = Negative
[C] -4-5 = -9
[D] -7-9 = -16
Thus, the answer is
[B] (-6)(4)
[C] -4 -5
[D] - 7 -9
[RevyBreeze]
Answer:
All of them except A.
Step-by-step explanation:
A = -3 * -9 = 27.
product of 2 negatives is a positive.
B: (-5*4 = -24
C: -4-5 -9
D. -7-9 = -16