Write the equation of the function graphed below:
x) =x√3
x
3
– 4
f(x) =x√3
x
3
+ 4
f(x) = 2x√3
x
3
+ 4
f(x) = 2x√3
x
3
–4
Answer:
(d) f(x) = 2∛x -4
Step-by-step explanation:
The graph is of a cube root function that has been vertically scaled by a factor of 2 and translated down 4 units. The equation of the function can be written ...
f(x) = 2∛x -4
Answer:
f(x) = 2x√3
x
3
–4
Step-by-step explanation:
If f(x) = x and g(x) = 2, what is (fºg)(x)?
Step-by-step explanation:
(fog)(x) = f[g(x)]
f(g(x))
f(x-2)
since f(x) = 1 / x
answer: 1/x-2
1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined
Which of the following fractions is in lowest form
fraction is in lowest term is no(b)
what is into relation with suitable example
Answer:
the relation between the x-values and y-values of ordered pairs
Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.
Step-by-step explanation:
1. the first mapping is a function
2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.
3. the third mapping is a function
4. the fourth mapping is not a function, because B has no relation.
Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:
She saves $3,840 annually into savings account
1. Marissa earns $1,000 after taxes twice a month
This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes
2. Marissa's monthly bills are $1,200.
The monthly bills means expenses that Marissa incurred during the month.
3. Marissa deposits 40% of her remaining monthly income into a savings account
The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).
She deposits 40% of $800 into a savings account.
= 40% x $800
= $320
So, she is saving $320 out of the remaining $800 she has per month.
4. Marissa annually save?
She saves $3,840 annually ($320 x 12 months) into savings account.
However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.
See related question here https://brainly.com/question/18917500
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg
Answer:
21
Step-by-step explanation:
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .
Divide through everything by b :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]
Since a/b < c/d, it follows that
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]
Multiply through everything on the right side by b/d to get
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]
and so (a + c)/(b + d) < c/d.
For the other side, you can do something similar and divide through everything by d :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]
and a/b < c/d tells us that
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]
Then
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]
and so (a + c)/(b + d) > a/b.
Then together we get the desired inequality.
|1|, |-4|, |-3|, |2|
Answer:
|1| = 1
|-4| = 4
|-3| = 3
|2| = 2
Step-by-step explanation:
The absolute value function is defined by
[tex]|x|=\begin{cases}x,&x\ge0\\-x,&x<0\end{cases}[/tex]
Since 1>0, we have |1| = 1.
Since -4<0, we have |-4| = -(-4) = 4.
Since -3<0, we have |-3| = -(-3) = 3.
Since 2>0, we have |2| = 2.
Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.
just solve by yourself
Is 91.8 a rational or a non-rational number
Answer:
Yes. It is a rational number.
Write down what you know from the markings
Answer:
Same makings on the lines and angles indicate they are congruent (have same measure).
As per drawing:
MI = MY as both line segments have same single marking.IC = KC as both line segments have same double marking.m∠M = m∠I as both angles have same angle marking.If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed after the 0 in 45780.
Step-by-step explanation:
Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct
Answer:
Step-by-step explanation:
First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.
If x + 2k is a factor of that polynomial, then by the Zero Product Property
x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,
[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]
Answer:
the answer is in picture
hellp mee plzz in these all with proper formula
Step-by-step explanation:
the answer is in picture
12 = 11 1/12 + ___
(More help please this is confusing)
Answer:
11/12Step-by-step explanation:
12 = 11 1/12 + ____
=> 12 - 11 1/12 = ____
=> (144 - 133) / 12 = ____
=> 11/12 = _____
Hence,
11/12 is the answer
pls say hard
very hard
Answer:
3
Step-by-step explanation:
I need help please please help me )):
Answer:
ok bro I will help you don't worry
How would you solve for f(-x) ?
f(x) = x^2 +3x + 9
9514 1404 393
Answer:
f(-x) = x^2 -3x +9
Step-by-step explanation:
Use -x as the argument of the function.
f(-x) = (-x)^2 +3(-x) +9
f(-x) = x^2 -3x +9 . . . . . . . . simpify
Find the slope and the y-intercept of the line.
Answer:
slope=-1/5
y intercept=8
Hope this helps
Step-by-step explanation:
Answer:
Slope = -1/5
y-intercept: 8
Step-by-step explanation:
The line equation is y = mx + b, where m is the slope and b is the y-intercept.
We see that m is replaced by -1/5 and that b is replaced by 8.
Hope this helps!
Which of the following measures the variability of a data set?
A. median
B. MAD
C. mode
D. mean
Answer:
A
Step-by-step explanation:
The answer is the median because it shows how data are being scattered
Solve the equation.
ta (a + 8) = fr3-a
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
After subtracting 20% of a number from a number we get 12975.what was the number?
Answer:
Step-by-step explanation:
d
605x25 to show the work please
Answer:
it would be 3025
Step-by-step explanation:
605
x. 5
3025
Answer:
15125
Step-by-step explanation:
605
x25
------
3025
+1210
-----------
15125
What is Matilda's number?
Answer:
11
Step-by-step explanation:
The answer will be 11
as she is thinking of prime number so
111 is not a prime number
aswell as 77 is not a prime number
11 is a prime number and is also a multiple of 11
Answer:
11
Step-by-step explanation:
Marcus takes 5 steps to move from 8 inches to 113 inches.
Write an equation for this situation then solve for the length of one step.
Hint: Let x = length of one step
The length of one step is 21 inches
Let x = length of one step
Since Marcus takes 5 steps to move from 8 inches to 113 inches, then the length of one step will be calculated thus:
x = (113 inches - 8 inches) / Number of steps
x = (113 inches - 8 inches) / 5
x = 105 inches/5
x= 21 inches
In conclusion, the length of one step is 21 inches
Read related link on:
https://brainly.com/question/16450098
factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]
Step-by-step explanation:
Hey there!
See the attached picture.
Hope it helps!
A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price
Answer:
7200
Step-by-step explanation:
Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.
6% of 120000=7200
Solve: –36 x 72 + 64 x (–72)
And mention the property
Closure/Commentative/Associative
Explain your answer and gain 20 points.
Step-by-step explanation:
[tex] - 36 \times 72 + 64 \times ( - 72)[/tex]
first carry out the multiplication operation:
[tex] = ( - 36 \times 72) + (64 \times - 72) \\ = - 2592 + ( - 4608)[/tex]
then addition operation:
[tex] = - 7200[/tex]
Answer:
[tex] - 36 \times 72 + 64 \times ( - 72) \\ - 2592 + ( - 4608) \\( - 7200)[/tex]