Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?
Answers
Answer:
Graph shown below
Step-by-step explanation:
Cubic Root Graph
The graph of the function
[tex]f(x)=\sqrt[3]{x}-4[/tex]
Is shown in the attached image. Some points are calculated below:
We'll take x={-8,-1,0,1,8}:
[tex]f(-8)=\sqrt[3]{-8}-4=-2-4=-6[/tex]
Point (-8,-6)
[tex]f(-1)=\sqrt[3]{-1}-1=-1-4=-5[/tex]
Point (-1,-5)
[tex]f(0)=\sqrt[3]{0}-4=0-4=-4[/tex]
Point (0,-4)
[tex]f(1)=\sqrt[3]{1}-1=1-4=-3[/tex]
Point (1,-3)
[tex]f(8)=\sqrt[3]{8}-1=2-4=-2[/tex]
Point (8,-2)
The graph of [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below and this can be sketched by substituting the values of x in the function f(x) and then plotting the points on the graph.
Given :
[tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The following steps can be used in order to determine the graph of the given function f(x):
Step 1 - Determine the value of f(x) at the values of x = {-8,-4,0,4,8}.
Step 2 - At (x = -8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-8} - 4[/tex]
[tex]\rm f(x) = -2 - 4 = -6[/tex]
Step 3 - At (x = -4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-4} - 4[/tex]
f(x) = -5.6
Step 4 - At (x = 0) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{0} - 4[/tex]
f(x) = -4
Step 5 - At (x = 4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{4} - 4[/tex]
f(x) = -2.4
Step 6 - At (x = 8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{8} - 4[/tex]
f(x) = -2
Step 7 - Now, plot the points obtained in the above steps on the graph in order to draw the graph of the given function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The of the function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below.
For more information, refer to the link given below:
https://brainly.com/question/4700926
Related Questions
I need help with this question pls
Answers
Answer:
yes
Step-by-step explanation:
yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost
btw just copy/paste :P
Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^
(Please don't answer with anything random just for the points)
Answers
Answer:
Factored Form: f(x) = (x-7)(x-4)
Roots: x=7, x=4
Step-by-step explanation:
What we can do here is break the given expression into groups;
x^2-11x+28 ---> break the expression into groups
(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x
x(x-4) + (-7x +28) ---> factor - 7 from -7x +28
x(x-4) -7(x-4) ---> combine
(x-7)(x-4)
so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4
Answer:
ñanamaisañia thanks for points
1.- En una bodega hay 34 sacos de maíz, si cada uno pesa 100 kg. ¿Cuántos
kilogramos de maíz hay en la bodega?
Answers
Fossil fuels produce a higher percentage of the energy in the U.S. than renewable resources because fossil fuels produce far less pollution.
true or false?
Answers
Answer:
false
Step-by-step explanation:
fossil fuels are hard to come by, and take a very long time to get back, I dont know about energy, but there is far more pollution than using energy from water or air
from formula I=U/R tell the R
R=I/U
R=U/I
R=IU
Answers
Answer:
R = [tex]\frac{U}{I}[/tex]
Step-by-step explanation:
Given
I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )
R × I = U ( isolate R by dividing both sides by I )
R = [tex]\frac{U}{I}[/tex]
what is the answer?
Answers
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
delicious Bakery has a monthly budget of D dollars. Every month, it spends $3,080 on employee salaries. 1/4 of the remaining budget is spent on the ingredients. Which function can be used to find the amount, in dollars, spent on ingredients each month?
Answers
Answer:
yellow
Step-by-step explanation:
Can you help me please?
Answers
Explanation: you gotta multiple the numbers in the parentheses
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
What is the m=
And what is the equation
Please help me asap its almost due
Answers
Answer:
m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)
m = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{2-10}{7-0}[/tex]
= [tex]\frac{8}{7}[/tex]
= 1[tex]\frac{1}{7}[/tex]
Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3 − 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Answers
Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
The volume of a prism is the product of its dimensions.
The missing dimension of the prism is x - 4
The volume function is given as:
[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]
Let the missing dimension of the prism be y.
So, the volume is calculated using:
[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]
Multiply the factors
[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]
[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]
Equate both expressions of volume
[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]
Factor the numerator
[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]
Cancel out common factors
[tex]\mathbf{y = x - 4}[/tex]
Hence, the missing dimension of the prism is x - 4
Read more about volumes at:
https://brainly.com/question/21308855
formula of paremeter
Answers
Answer:
The formula for the perimeter of a rectangle is P = 2l + 2w
Step-by-step explanation:
Step-by-step explanation:
2 (l + b)
yes this may help you this is formula of perimeter
equations with variables on both sides: decimals & fractions, 6d - 11/2 = 2d - 13/2
Answers
Step-by-step explanation:
i work in paper sheet please see it
Final Answer: [tex]d = -\frac{1}{4}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].
Step 1: Subtract [tex]2d[/tex] from both sides.
[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]
Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].
[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]
Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.
[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]
Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].
[tex]4d = -1[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]d = -\frac{1}{4}[/tex]
~I hope I helped you :)~
ill mark brainliest god bless
Answers
Answer:
C. m = -8
I hope this helps!
Answer:
Slope is -8
Step-by-step explanation:
2 - y = 8x
- y = 8x - 2
-y/-1 = 8x/-1 - 2/-1
y = -8x + 2
Helppppp i don’t know what to do
Answers
Answer:
the last one
Step-by-step explanation:
What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6
O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)
Answers
Answer:
O (8, -6)
Step-by-step explanation:
brainiest plz
Answer:
(-6,8)
Step-by-step explanation:
Have a good day
if a>0>b, show that 4a^2 - 5ab + b^2 >0
Answers
The average daily maximum temperature in Cyprus is 21.85 degrees Celsius in the average daily minimum temperature is -4.7 degrees Celsius is the average daily maximum temperature is blank Celsius higher than the average daily minimum temperature
Answers
Answer:
26.55°C
Step-by-step explanation:
21.85 + 4.7
Average maximum daily temperature = 21.85°C
Average minimum temperature = - 4.7°C
The average daily maximum temperature is x°C higher than the average daily minimum temperature ;
x = (maximum temperature - minimum temperature)
x = (21.85 - (-4.7))°C
x = (21.85 + 4.7)°C
x = 26.55°C
Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
-1.18
C.
3,283
D.
3,158
Answers
Answer:
D. 3,158
Step-by-step explanation:
h(-67) means to plug the x in h(x)=-49x-125 into the function as -67
The function will then be:
h(-67)=-49(-67)-125
Multiply -49 and -67
h(-67)=3283-125
subtract
h(-67)=3158
so the answer is D
Hope this helps!
What is the area of this triangle?
Answers
Please help and give details!
Answers
Answer:
D
Step-by-step explanation:
Kyle makes $81 in 9 hours.
A. How much does Kyle earn per hour?
Answers
Answer:
$0.11111111111111111111
Step-by-step explanation:
:)
Pls mark brain if I helped
Plzzzz helppppp meeeeee
Answers
Answer:
The answer is 12.
Explanation:
The bottom is seconds, and on the left side it is feet.
Look at the bottom and find the number 1.5.
Stop there on the line and move up until you hit the dark blue line.
It stops at 12. So that is your answer.
I hope this helps! Have a nice day!
Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation:
Answers
Answer:
Its either A or B:
The length of diagonal PS and diagonal P'S' are in the ratio 1:3.
The lengths of side PT and side R'Q' are in the ratio 1:3.
What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?
Answers
Answer:
331/100 or 3 31/100
Step-by-step explanation:
We have;
One - hundredth of 25 = 1/100 × 25 = 1/4
One-tenth of 30 = 1/10 × 30= 30/10 =3
One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50
So we have:
1/4 + 3 + 3/50 = 331/100 or 3 31/100
^^^ this too please
Answers
hihi! can you help me please? Giving brainleist to the best/correct awnser :))
Solve for x
9(3−2x)=2(10−8x)
Answers
Answer:
x= 2/7
Step-by-step explanation:
i think that's the answer jdmsmzmsms
Answer:
Step-by-step explanation:
x=7/2
Mary Catherine makes 2 gallons of punch for her party. How many pints of punch did she make?
Answers
the answer is below :D hope u do good!
Step-by-step explanation:
answer is 32! trust me
Find m. Leave answer in simplest radical form.
1
30°
Answers
Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
URGENT, PLEASE ANSWER.
-5
Solve the inequalities!
15 points if you answer and trolls will be reported.
Answers
Answer: x= -1
Step-by-step explanation:
1 Subtract 44 from both sides.
x=3-4x=3−4
2 Simplify 3-43−4 to -1−1.
x=-1x=−1
Answer: x > -9 and x [tex]\leq[/tex] -1
Step-by-step explanation:
-5 < x + 4[tex]\leq[/tex] 3 To solve the inequality, subtract 4 from both sides or u can divide the whole thing into two inequalities like, -5 < x + 4 and x + 4 [tex]\leq[/tex] 3 and solve for each other.
-5 < x + 4 [tex]\leq[/tex] 3
-4 -4 -4
-9 < x [tex]\leq[/tex] -1
or
-5 < x + 4 x +4 [tex]\leq[/tex] 3
-4 -4 -4 -4
-9 < x x ≤ -1
A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?