to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so
[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]
A standard elevator in a midrise building can hold a maximum weight of about 1 3/4 tons. Assuming an average adult weight of 124 pounds, what is the maximum number of adults who can safely ride the elevator?
Answer: 28 adults
Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28
The two numbers are in the ratio of 4:5 and the sum of these numbers in981 find the numbers
Answer:
Step-by-step explanation:
let x be the larger number
x + (4/5)x = 981
(9/5)x = 981
x = 981(5/9)
x = 545
(4/5)(545) = 436
I need to know what is in the process box, it goes with the formula y=mx+b
Answer:
y= 8.5x - 10
Step-by-step explanation:
I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10
pls help :) not understanding this thank you!!!
Answer: equals Z
Step-by-step explanation:
simple you do y divided by mass energy
Pam makes 5 litters of apple juice she saves 0.5 litter of apple for dinner and puts the rest in bottles. If each bottle holds 0.75 liter how many apples of apple juice can pam fill?
Answer:
6
Step-by-step explanation:
5L - 0.5 = 4.5
Pam is putting 4.5L into bottles
4.5/0.75 = 6
0.75L = 1 bottle
x2
1.5L = 2 bottles
x3
4.5L = 6 bottles
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000If x^4 - y^4 = 24, and x^2 - y^2 = 8, what is the value of x^2 + y^2 ?
Show work
Answer:
Step-by-step explanation:
U
Answer:
3
Step-by-step explanation:
[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]
Radium-221 has a half-life of s. How long will it take for of a sample to decay?
Answer:
The answer is 82.109 sec.
Step-by-step explanation:
Please use image above ^^
Answer:
D or answer choice 4
Step-by-step explanation:
please help me on my math , I need help :(
Answer:
ask sombody else
Step-by-step explanation:
guess we dont
see image above ^^^^
Answer: A reflection, and then a translation.
Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.
Answer:
[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]
Step-by-step explanation:
[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]
[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]
[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]
please help.......,................
Answer:
8×1=8+64=72
Step-by-step explanation:
there is your answer are you happy now
PLZ HELP MEEEEEEE I'LL MARK BRAILIEST
Answer:
D
Step-by-step explanation:
Please mark brainliest
hope it helps
Answer:
D
Step-by-step explanation:
I just know
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$
9514 1404 393
Answer:
$9.86
Step-by-step explanation:
The numbers in your problem statement are somewhat garbled. We understand the problem to be ...
Given:
earnings: $11.60 per hour
1/10 of earnings donated
8 1/2 hours worked
Find:
the amount donated
Solution:
The amount donated will be the product of the given numbers:
($11.60 /hour)×(8.5 hours)×(1/10) = $9.86
Kendra donated $9.86 to the charity last week.
Tell whether the fractions are equivalent. Write = or [tex]\neq[/tex]
3/4 ____ 8/12
Triangle ABC is isosceles. What is the measure of angle C?
A. 25°
B. 30°
C. 60°
D. 75°
The answer is D, 75°.
All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:
(x + 5) + (3x) + (3x) = 180
Combine like terms.
(x + 5) + (3x) + (3x) = 180
7x + 5 = 180
-5 -5
7x = 175
/7 /7
x = 25
Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.
What is 75.65 rounded to the nearest whole number?
Mia, jade, and Amelia sell car wash tickets. Jade sells 8 more tickets then Mia. Amelia sells twice as many tickets as Mia. The friends sell a total of 296 tickets. How many tickets does each friend sell?
Answer:
Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
Step-by-step explanation:
You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296
Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:
J = M + 8
Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:
A = 2 * M
Now we can substitute these equations into the overall one.
M + (M + 8) + (2M) = 296
Now we can combine like terms and solve for M.
2M + 8 + 2M = 296
4M + 8 = 296
4M = 288
M = 72
We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.
J = M + 8
J = 72 + 8
J = 80
A = M * 2
A = 72 * 2
A = 144
So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
The solution is Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of tickets sold by Mia , Jade and Amelia be M , J and A respectively
Total number of tickets = 296
So , M + J + A = 296 be equation (1)
Now , Jade sells 8 more tickets then Mia
So , J = M + 8 be equation (2)
Subtracting 8 on both sides , we get
M = J - 8 equation (3)
Now , Amelia sells twice as many tickets as Mia
So , A = 2M be equation (4)
Substituting the value of J and A in equation (1) , we get
M + ( M + 8 ) + 2 M = 296
4M + 8 = 296
Subtracting 8 from both sides , we get
4M = 288
Divide by 4 on both sides , we get
M = 72
The number of tickets sold by Mia = 72
Substituting the value of M in equation (2) and equation (4) , we get
J = M + 8
J = 80
The number of tickets sold by Jade = 80
A = 2M
A = 144
The number of tickets sold by Amelia = 144
Hence , The number of tickets sold by Mia is 72 tickets, Jade is 80 tickets, and Amelia is 144 tickets
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248
When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.
It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.
Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.
Read related link on:
https://brainly.com/question/15179003
If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?
Answer:
18
Hope this helps :) Please mark this brainiest?
Step-by-step explanation:
18/6=3
54/3=18
Answer:
18 ounces
Step-by-step explanation:
I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps
<3
The ratio of 70 minutes to 2 hours is
Hey there!
70 minutes
= 1 hour 10 minutes
2 hours
= 60 minutes * 2 minutes
= 60 minutes + 60 minutes
= 120 minutes
70/120
= 70 ÷ 10 / 120 ÷ 10
= 7 / 12
Therefore, your answer is: 7:12 OR 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}
The states that a2 + b2 = c2, when finding the length of a side for a right triangle.
Answer:
Pythagoras Theorem
Step-by-step explanation:
Answer:
so if I do b1+a1=c1 ok me done
In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsin's total score is 61, which of the following could be the number of 3-point scores that Tamsin had?
Answer:
20 three-point scores
61/3=20 R1
Answer:
7
Step-by-step explanation:
61 divided by 8 = 7 remainder 5
you can do 7 3's and 7 5's which would make 7x3 = 21 + 7 x 5 = 35 21 + 35 = 56
61 - 56 = 5 (add 1 to the amount of 5's)
7 3's and 8 5's
The copy machine at the library made a copy of Leslie 3 page essay in just 1/10 of a minute what is the speed of the copy machine
Answer:
30 pages/min
Step-by-step explanation:
put the number eight million, two hundred eleven thousand, four hundred nine into the place value chart, then write the number in standard and expanded form.
y is inversely proportional to
[tex]x {3}^{?} [/tex]
y=44 when x=a
Find y when x=2a
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" is inversely proportiional to }x^3}{y = \cfrac{k}{x^3}}\qquad \textit{we also know that} \begin{cases} y = 44\\ x = a \end{cases} \\\\\\ 44 = \cfrac{k}{a^3}\implies 44a^3=k~\hfill \boxed{y=\cfrac{44a^3}{x^3}} \\\\\\ \textit{when x = 2a, what is "y"?}\qquad y = \cfrac{44a^3}{(2a)^3}\implies y = \cfrac{44a^3}{8a^3}\implies \blacktriangleright y = \cfrac{11}{2} \blacktriangleleft[/tex]
Solve the equation 3x/3x-1 + 2/x = 1
Answer:
2/7=0.285714
Step-by-step explanation:
3x/3x-1+2/x=13x2+2(3x-1)/xx(3x-1)=13x2+6x-2/xx(3x-1)=13x2+6x-2=xx(3x-1)3x2+6x-2=3x2-x6x-2=-x6x=-x+26x+x=27x=2x=2/7=0.285714On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.
Please solve this correctly. I will give Brainliest.
Answer:
yes because that are true