Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?
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
Solve for x: 10(x + 1) = 2x - 7
Answer:Simplifying
x = -2.125
Step-by-step explanation:Add '-10' to each side of the equation.
10 + -10 + 8x = -7 + -10
Combine like terms: 10 + -10 = 0
0 + 8x = -7 + -10
8x = -7 + -10
Combine like terms: -7 + -10 = -17
8x = -17
Divide each side by '8'.
x = -2.125
Simplifying
x = -2.125
What inequality is shown by the graph? algebra 1
Find the probability that when a hand of 7 cards are drawn from the well-shuffled deck of 52 cards, it contains
(i) all kings (ii) 3 kings
Answer:
(i) 0/7
(ii) 3/7
Step-by-step explanation:
In a deck of 52 playing cards, there are 13 cards of each clubs, spades, diamonds, and hearts. From those 13 cards, each group has 1 King, Queen, Jack respectively.
No.of total outcomes = 7
(i) In the entire 52 cards, there will be 4 Kings.
The probability of getting 4 kings in 7 cards can be 4/7.
But since there are only 4 kings (4<7), the probability of getting all kings in 7 cards would be 0/7.
A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?
s - 10
2s + 10
s + 10
2s - 10
Answer:
a
Step-by-step explanation:
let the third side and second side be x and s respectively
a/c to question,
X = s - 10
Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answer:
I think it would be 4 not sure
HELP PLEASE REEEEEEEEEEEE!! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
Step-by-step explanation:
480 = 100%
72 = ? you can find it doing (72(100))/480
72(100)= 7200
7200/480= 15
the answer is 15%
have a nice day :)
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The correct statements about given synthetic division are C, D, and F
What is a quadratic polynomial?"It is a polynomial with degree 2."
What is synthetic division?"It is defined as a way of dividing one polynomial by another polynomial of first degree."
For given question,
We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]
We can factorize above quadratic polynomial as,
[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]
This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)
And the roots of the polynomial would be,
[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]
This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]
Therefore, the correct statements about given synthetic division are C, D, and F
Learn more about polynomial here:
https://brainly.com/question/11536910
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A store is selling sweaters for 65% of the original price (or 35% off). If the original price of the sweater is $56.00, what is the sale price of the sweater?
Answer:
36.40
Step-by-step explanation:
Make a proportion : 35/100 = x/56. 35 times 56= 19.6. 56-19.6= 36.4
Hope this helps!
Answer:
The sales price is $36.40
How do I do these?
Answer:
bro I ain't got no idea try googling it man
The school play is selling tickets for their annual fall play. Adult tickets cost $7 each and
children’s tickets cost $4 each. The theatre holds 100 seats and the play is sold out! If $592 were made off of ticket sales, how many of each kind of ticket were sold
Answer:
64 adult tickets were sold and 36 children tickets were sold
Step-by-step explanation:
i created two equations. 7A + 4C = 592 and A + C = 100. A stands for adult tickets and C stands for children tickets. in order to find the value of C, the children tickets, i took the second equation, A + C = 100, and subtracted A on both sides to get C = -A + 100. i then plugged the value of c into the first equation i created. i then got 7A + 4(-A+100) = 592. after that, i distributed the 4 into the parentheses and got 7A - 4A + 400 = 592. from there, you solve and get 3A = 192. divide 3 from both sides, and get the value of A = 64. then, you go back to the second equation, A + C = 100, and plug in your value of A to get 64 + C = 100. you can then go on to solve for C and get 36. your final answer is 64 adult tickets and 36 children tickets were sold.
For each situation below, complete the table for the values given and the unit rate.
A. 2 bottles of water cost $5.00.
Number of bottles
Cost($)
Cost per bottle
2
5
4
7
6
9
8
11
Answer:
2 = 5
5 = 12.50
4 = 10
7 = 17.50
6 = 15
9 = 22.50
11 = 27.50
Step-by-step explanation:
a
which equation is modeled
Answer:
The answer is B
Step-by-step explanation:
4x (green, left)
-2 (red, left)
=
2x (red, right)
6 (orange, right)
Hope that helps
5. Solve for x.
6. Solve for
(9x - 16)
I
(3.1 + 11)
(7x - 5)
ments
X =
7 Find m
Answer:
12*56-56+11=12
Step-by-step explanation:
12 for 56
The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p?
Answer:
A
Step-by-step explanation:
sorry for being late
good luck m8s
Which equation could have been used to create this table?
y = 4x
y = x + 3
y = x + 2
y = 3x
Table:
X Y
1 3
2 6
4 12
5 15
6 18
thanos has 15 donuts. he cuts those into fifths. then he cut those fifths into halves. then he cut those halves into thirds. how much pieces does thanos have?
Answer:450
Step-by-step explanation:
On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes
Answer:
C
Step-by-step explanation:
10/4=2.5
2.5x38=95
95 minutes= 1 hour 35 minutes
Find the area of the figure above.
Answer:
84
Step-by-step explanation:
You do problems like these by finding the area of each shape individually and then adding them together. I first found the area of the rectangle by multiplying 6 in. by 11 in. to get 66 in.^2. I then found the area of the triangle by multiplying length of the base of the triangle which is the same as the short side of the rectangle at 6 in. by the 6 in. height and dividing it by 1/2. This gets 18 and 66+18=84
SOLVING SYSTEMS:
I just need the work for each equation.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
7.61577
Step-by-step explanation:
Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.
Please help.
Answer:
Total stamps = 240
ratio= 3:8
3x + 8x = 240
11x = 240
x = 240/11 = 21.8
then, callum's stamps = 3x = 3 * 21.8 = 65.4
Isabel's stamps = 8x = 8 * 21.8 = 174.4
After buying the stamps,
ratio = 3:2
callum's stamps = 3x
Isabel's stamps = 2x
= 3x + 2x = 240
5 x = 240
x = 240/5 = 48
callum's stamps = 3x = 3 * 48 = 144
Isabel's stamps = 2x = 2 * 48 = 96
no. if stamps bought by calling = 144 - 65.4 = 78.6 stamps
hope it helps you
Here is a list of numbers:
6, 16, 6, 18, 16, 3, 8 ,9 ,6
State the median.
Answer:
8
Step-by-step explanation:
You have to list the numbers in the correct order then fond the one that falls in the middle, if there are 2 numbers that fall in the middle, then you add those 2 then divide by 2.
Hope it helps! Merry Christmas!
Answer:
8
Step-by-step explanation:
Arrange the set of numbers from least to greatest:
3,6,6,6,8,9,16,16,18
Start from both ends and cross them off until you're left with just one.
6,6,6,8,9,16,16
6,6,8,9,16
6,8,9
8
The median is 8 because that's what you're left with.
simplify: -7 - 8
Change 1 6/7 to a decimal round to the nearest tenth.
Answer:
-15
1.9
Step-by-step explanation:
-7 - 8 = -15
1 and 6/7 = 1.857142857142857142857142.....
about 1.9
what is the distance between piont S (3 -2) and point T (-5, -2)
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°
9514 1404 393
Answer:
C. greater than 180°
Step-by-step explanation:
Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.
Please answer this
if you do ill give you my only fans for free
Answer:
first what do you look like???,
Answer:
Forget the account but I think it's A
Step-by-step explanation:
because if you take the number of how long the side lengths are (4.8in) then you times it by how many sides there are on the cube (12 side) and that is 57.6in
No positive but I think so
hey guys please help me oleaseee
Answer:
8'2
Step-by-step explanation:
Answer:
8'2
Step-by-step explanation:
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a
C, and 2 earned a D on the last science test. If she randomly surveys one more student from
the class, what is the experimental probability that the student would have earned an A on
the test?
Done
My Progress >
Answer:
2/5
Step-by-step explanation:
In order to find the probabability, you first need to find your total. So:
A, B, C, D,
8+ 6 + 4 + 2 =
20
Since, 20 is out toal it goes in our denominator
Now since we artrying to find the probability of A then we count the number of students who an A and place that in our denominator
8/20
We simplify
2/5
Answer:
2/5
Step-by-step explanation:
Please help me ASAP!!! and please explain it because I do not understand how to do this at all.
Answer:
The 3 one
Step-by-step explanation:
So first you need to find all the angles.
Triangles all have a total degree of 180.
Then you can start doing trig. To find c I did (4sqrt3)cos60 that equals 3.464 which is 2sqrt3. Then I figured out a by doing the same thing but with sine. (4sqrt3)sin60 and that equals 6. Then I moved to the other triangle. I figured out d next. 6tan45° and that equals 6. Then I did b by doing 6/cos45 and I got 6sqrt2