The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
Answer:
[tex]g(x)=-2\sqrt[3]x[/tex]
or
[tex]g(x) = -2f(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt[3]x[/tex]
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:
[tex](x_1,y_1) = (-1,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
We can represent g(x) as:
[tex]g(x) = n * f(x)[/tex]
So, we have:
[tex]g(x) = n * \sqrt[3]x[/tex]
For:
[tex](x_1,y_1) = (-1,2)[/tex]
[tex]2 = n * \sqrt[3]{-1}[/tex]
This gives:
[tex]2 = n * -1[/tex]
Solve for n
[tex]n = \frac{2}{-1}[/tex]
[tex]n = -2[/tex]
To confirm this value of n, we make use of:
[tex](x_2,y_2) = (1,-2)[/tex]
So, we have:
[tex]-2 = n * \sqrt[3]1[/tex]
This gives:
[tex]-2 = n * 1[/tex]
Solve for n
[tex]n = \frac{-2}{1}[/tex]
[tex]n = -2[/tex]
Hence:
[tex]g(x) = n * \sqrt[3]x[/tex]
[tex]g(x)=-2\sqrt[3]x[/tex]
or:
[tex]g(x) = -2f(x)[/tex]
the triangle below has an area of 25 units2, find the missing side
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]A= 0.5 bh[/tex]
[tex]25=0.5 (10)h\\\\[/tex]
[tex]25=5h[/tex]
[tex]5h=25[/tex]
[tex]h=5[/tex]
[tex]-------[/tex]
what is the circumference area?
8 7/8 divided by 2 1/2 feet
Answer:
3.55
Step-by-step explanation:
First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.
Please answer need fast
Answer:
B is the correct ans
please mark brainliest
PLEASEEE I NEED HELP
Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
2 easy questions for 35 points
Answer:
for question 5
(1) 9x > 3x + 6
6x > 6
x=1
(2) $100-$10=$90
$90/5=18
Joan would need to work 18 hours
for question 6
P+ (PRT)/100
475 + 475(8.5)(12)/100
475+484.5
= 959.5
I hope this helped you ;)
please helpppppppp , thank you!
Answer:
1/2 is likely but I'd rather go with 2
Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2
Answer:
Multiply 15 by 9, then divide by 2.
Step-by-step explanation:
We need to solve the given expression.
[tex]15\div \dfrac{2}{9}[/tex]
We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]
We have,
a = 15, b = 2 and c = 9
So,
[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]
So, the steps are "Multiply 15 by 9, then divide by 2".
Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.
Answer:
The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]
Step-by-step explanation:
The given two equations are
[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]
Now rearranging the two equation in such a way that variables with similar with same power are grouped together -
[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]
In ΔWXY,m∠W=(2x−12)m∠X=(2 x+17), and∠Y=(9x−7). Find∠X.
Answer:
x = 15
Step-by-step explanation:
2x + 17 = X
x=17-2
= 15
therefore x = 15
If the measure of two angles in a triangle are 60 and 100 degrees, what is the measure of the third angle? a. 20 degrees) b. 50 degrees) c. 30 degrees) d. 180 degrees)
Answer:
A. 20 degrees
Step-by-step explanation:
All triangles have 180 degrees in total !
using that info,
100+60= 160
180-160 = 20
The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.hello please help i’ll give brainliest
Answer:
Step-by-step explanation:
Both arsenic and lead can be / are poisonous, so "poison" is the best response here.
Giving brainlist to whoever answers
Answer:
C 2496 in3
Step-by-step explanation:
Answer:
2496 in3
Step-by-step explanation:
Volume = LWH
24*8*13 = 2496
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
Write the equation of a line going through the points: (1, -2) and (-2, 4)
Answer:
Step-by-step explanation:
y=-2x
= ( + ) = ( + ) = ( + )
20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?
A The amount a babysitter who makes $7.50 per hour earns in h hours
B The cost of purchasing p pounds of oranges for $1.35 per pound
C The number of gallons of water in x barrels with 13 gallons of water in each barrell
D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds
Answer:
d
Step-by-step explanation:
i think its d
please help with this. i can even give brainliest!!!!
Answer: i think 10
Step-by-step explanation:
Please help I will give brainliest IF IT IS CORRECT
Answer:
third graph and (3, -1)
Step-by-step explanation:
y = 2/3x - 3
y = -2x + 5
2/3x - 3 = -2x + 5
2 2/3x = 8
8/3x = 8
8x = 24
x = 3
find 'y'
y = -2(3) + 5
y = -1
The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5
A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.
Answer:
Is the triangle a right triangle?
Is that right? I'll post the pic
Answer:
I believe it is, I skimmed across it looks accurate to me
Step-by-step explanation:
-3x + y = 7
5x+ 2y = 3
Substitution?
Answer: r=-1,y=4
Step-by-step explanation:
im just clueless i need help
Answer:
.....
Step-by-step explanation:
on what
Answer:
I didn't help because you did not ask any questions
One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?
Experimental Probability = 2/3
To find the experimental probability that the tack lands point-up for student 4, we can use the following equation
[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]
If this helped you a Brainliest would be appreciated!
Answer:
0.75
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Hexagon
Step-by-step explanation:
It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.
Answer:
It should be hexagon
Step-by-step explanation:
Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.
The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?
Answer:
the maximum height of the ball is 42.25 m
Step-by-step explanation:
Given the height function as;
h(t) = -16t² + 12t + 40
At maximum height, the final velocity of the ball will be zero.
The final velocity is calculated as follows;
[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]
At maximum height, the time of motion of the ball is 0.375 s.
The maximum height is calculated as follows;
h(t) = -16t² + 12t + 40
h(0.375) = -16(0.375)² + 12(0.375) + 40
h(0.375) = -2.25 + 4.5 + 40
h(0.375) = 42.25 m
Therefore, the maximum height of the ball is 42.25 m