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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Related Questions
⭐ 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]
You have a bag of marbles. In the bag, there is a red, blue,
white, yellow, orange and black marble. Find the probability
that you choose the red, then the blue marble (you don't
replace the first marble you draw). Express your answer as a
simplified fraction.
Answers
Answer:
1/6 probability that you choose red
1/6 probability that you choose blue
Step-by-step explanation:
There are 6 marbles and only one is red, same with blue, so out of six times you pick a marble you will get the blue once and red once.
Can someone please state the answers
Answers
Answer:
i think it is the first one
Step-by-step explanation:
What is the hydronium ion concentration in a solution with a pH of 4.25?
Answers
Answer:
5.6 × 10⁻⁵ mol/L
Step-by-step explanation:
HELP PLS GIVING 20 POINTS!!!! LOOK AT PICTURE FOR QUESTION!!!
Answers
Answer:
75; 76; 77
Step-by-step explanation:
four times the sum of 3 consecutive numbers
first number is X
second is X+1
third is X+2
4 × (x + x+1 + x+2) = 912
4(3x + 3) = 912
12x = 912 - 12
x = 900/12
x = 75
the three numbers are : 75 , 76 , 77
The scale on a drawing reads 1/16^ prime prime =1^ prime .A2 inch long line represents
A. 8 feet
B. 16 feet
C. 32 feet
D. 64 feet
Answers
So
1 in line represents 16ft i e 2^4 ftHence
2in line represents
2(2^4)2(16)32ftSuppose a sample of 313 tankers is drawn. Of these ships, 235 did not have spills. Using the data, estimate the proportion of oil tankers that had spills.
Answers
Answer:
78
Step-by-step explanation:
313 - 235 = 78
Volume of a box If a box has a volume of 42 cubic feet, is it possible for you to
fit inside the box? Explain your answer
Answers
Answer:
yes ,because the average human hight
cannot exceed 7squared feets
Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.
What is a box?In mathematics, a box is a three-dimensional shape that has six rectangular faces.
It is also called a rectangular prism.
The faces on opposite sides of a box are congruent and parallel. A box has a height, width, and length, which are usually labeled as h, w, and l.
The volume of a box can be found by multiplying its length, width, and height: V = l × w × h.
We have,
The volume of a box is a measure of the amount of space inside the box, typically measured in cubic units such as cubic feet or cubic meters.
If a box has a volume of 42 cubic feet, it is simply telling us the amount of space inside the box.
Whether a person can fit inside the box or not depends on the size of the box and the size of the person.
Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.
So,
We need more information to answer this question.
Thus,
Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.
Learn more about box here:
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divide 2/3 by 1/5 into mixed nuber
Answers
Answer:
3 and 1/3 is your answer: aka 10/3
Step-by-step explanation:
hope this helps
Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
2 units to the right, 5 units up
2 units down, 5 units to the left
2 units down, 5 units to the right
2 units to the left, 5 units up
Answers
Answer: 2 units to the right, 5 units up
Step-by-step explanation:
Nathan sold 120 shares of Mowery, Inc., at $95 per share and paid a commission of $9. What were his proceeds?
Answers
Answer:
I think its $11409
Step-by-step explanation:
maybe not but please trust me
Tom saved x silver coins, y gold coins and z bills. How much has Tom saved?
A) xyz
B) x+y+z
C) 3(xyz)
D) z-(y+x)
Answers
bcs the question just asked how much has tom saved so just have to total up everything
Answer:
B) x+y+z
Step-by-step explanation:
CARRY ON LEARNING
CORRECT THIS ANSWER
MARK A BRAIN LESS
NEED HELP BRAIN LY FAST
What is the value of the expression below? 7 - 4+5
A. 14
B. 40
C. 50
D. 15
Answers
Answer:
50
Step-by-step explanation:
First we Calculate what [tex]7^{2}[/tex] is equvalet to:
7 * 7 to solve and get 49
Our equation then becomes:
49 - 4 + 5
Next, subtract left to right:
49 - 4 = 45
Now we get:
45 + 5 = 50 (our answer)
How do you do 42.5 times 86?
Answers
Answer:
3655 use a calculator
Step-by-step explanation:
21.
Use the information given to answer the question.
Consider the information about the number of customers that select various frame
colors at a frame store one day.
• 15 customers select white frames.
• 30 customers select black frames.
• 45 customers select gold frames.
Part A
If there are a total of 2.200 customers that order from the frame store one month, what
is the best approximation for how many customers that month select a black frame?
A. 367 customers
B. 733 customers
C. 1, 100 customers
D. 1. 167 customers
Answers
Answer:
B. 733 customers
Step-by-step explanation:
15+30+45=90
since 30 people select a black frame, 1/3 of the customers picked black frames. If this data is consistent through the month (which we have to assume it is) then that means 1/3 of customers select a black frame on average. 1/3 of 2,200 is about 733, so we can assume, using the data given, that about 733 customers selected black frames! :)
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:
h(x)=3/x+5 +12
Step-by-step explanation:
If nitrogen is warmer than -320 degrees Fahrenheit, it will be a gas.
Write an inequality that is true only for temperatures at which nitrogen is a gas.
Answers
Answer:
Step-by-step explanation:
If nitrogen is warmer than -320 degrees farenheit it will be gas .write an inequality that is true only for temperatures (t) at which nitrogen is a gas.
✓ t>-320=gas if I'm thinking about it correctly
cos ∅ = 5/13 and sin ∅ < 0. Identify the quadrant of ∅ and find sin ∅.
Answers
Answer:
Step-by-step explanation:
help me please with this problem
Answers
Answer:
20.4
Step-by-step explanation:
First you do 8947.95/30.25 and you will get 295.8 the you divide that by 14.5 and you will get 20.4 and that will be your answer
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
Jackson wants to make a scale drawing of idaho, which has a maximum length of about 480miles and a maximum width of about 300 miles. Jackson will use a width of 40 centimeters in his drawing. How long should the length of idaho be in jackson’s drawing?
Answers
Answer:
64
Step-by-step explanation:
scale problem
ratio:
300/480 = 40/x
300x = 19200
x = 19200/300
x = 64
quiziz
Is this the answer please check my answer!!! Thank you!
Answers
Answer:
Yeah, you're right.
Step-by-step explanation:
The perimeter of a deck is 48 ft. If the length is 16 ft., what is the width?
Answers
Answer:
8
Hope This Helps1 :) Please give Brainliest if this does!
Refer to attachment below;
John works at Klein’s Dry Cleaning. He earns $8.45 per hour. If John worked 39 hours this week, what is his pay? *
Answers
Answer: 329.55
Step-by-step explanation: multiple 8.45 by 39 which is 329.55
8.45 * 39 = 329.55
Explanation:
Multiply 8.45 by 39
The product is 329.55, so that’s your answer.
Hope this helps!
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
8
Answers
Stops means height is 0 then
So
Total stops while NY=2Total stops while Chicago=3Total stops on both:-
2+35The graph will reach horizontal axis 5times
b. Lisa has 120 sweets. She gives 2 of them to
her brother. How many sweets does Lisa have left
Answers
Answer:
118
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
120-2=118
118 sweets left!
(7y to the fourth power) to the second power
Answers
Answer:
7y^(8)
Step-by-step explanation:
(7y^4)^2
=7y^(4×2)
=7y^(8)
Help help help help help help math math
Answers
X=10
The answer Is 10
A triangle has angle measurements of 36°, 83°, and 61°. What kind of triangle is it?
Answers
Answer:
It is an acute truangle.
Step-by-step explanation:
It is an acute triangle since all of the side are less than 90 degrees.
A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee?
Answers
Answer:
120 milligrams
Step-by-step explanation:
x=coffee
x-54=tea
x-54=66
x=66+54=120