Step-by-step explanation:
f(x)=x^3+7
y=x^3+7
x=y^3+7
y^3=x-7
y=cube root (x-7)
f(x) inverse=cube root of x-7
The inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
The given function is f(x)=x³+7.
What is the inverse function?Inverse function is represented by [tex]f^{-1[/tex] with regards to the original function [tex]f[/tex] and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
Now, f(x)=x³+7 can be written as y=x³+7
⇒ x=y³+7
⇒ y³=x-7
⇒ [tex]y=\sqrt[3]{(x-7)}[/tex]
Therefore, the inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
To learn more about the inverse function visit:
https://brainly.com/question/28595547.
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A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands, and 27 percent of health-care workers without rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings and 100 health-care workers not wearing rings are selected. What is the standard deviation of the sampling distribution of the difference in the sample proportions (wear rings minus does not wear rings) of health-care workers having bacteria on one or both hands?
Answer:
C: square root 0.31 (0.69)/100 + 0.27(0.73) /100
Step-by-step explanation:
that's the answer I'm just to lazy to put the explanation but yeah, that's the answer
Part A: If each batch of cupcakes makes 12 cupcakes; how many batches will the bakery need to bake to
make 90 cupcakes?
Answer:
7,5
........................
5(x + 5y) - {2x – [3x – 3(x – 2y) + y]} simplfy
Answer:
3x+20y
Step-by-step explanation:
First write down the expression.
5(x + 5y) - {2x – [3x – 3(x – 2y) + y]}
Now, the first thing you would have to do is the first parenthesis
5(x+5y)
5x+25y
So far, the expression looks like this: 5x+25y - {2x – [3x – 3(x – 2y) + y]}
No we would do the smallest parenthesis in the expression.
Which is: (x – 2y)
But since there is nothing to simplify, we move on
Next one is [3x – 3(x – 2y) + y]
We have to do 3(x-2y) first
This is equal to: 3x-6y
So far, the expression looks like this:5x+25y - {2x – [3x – 3x-6y + y]}
The next step is still in the other parenthesis up top
Which is: [3x – 3x-6y + y]
We have to add up the x's and y's
Which is -5y
Our expression now looks like this:5x+25y - 2x-5y
Since we don't have anymore parenthesis, we look for the same letter and add or subtract them.
We have to do 5x-2x=3x
25y-5y=20y
So that means our final answer is :3x+20y
Hope this answer is correct!
If It is, can you give me brainliest, it took me almost 25 minutes to write this down.
Rate of girls to boys
88 girls
96 boys
Answer:
girls are always better and with be better than boys ;)
Step-by-step explanation:
Answer:
okkk
Step-by-step explanation:
V + 9 t+ u
how many terms and in the expression
Answer:
3 terms.
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), or several variables multiplied but never added or subtracted. That means V is a term, 9t is a term, and u is a term.
$80 gift marked up 60%
Answer: 25% markup
Step-by-step explanation:
A 36 inch post cast a shadow of 24 inches. At the same time a telephone pole cast a shadow of 22 ft 8 in. What is the height in feet of the telephone pole?
Answer:
The height of the telephone pole is of 408 inches = 34 ft.
Step-by-step explanation:
Each foot has 12 inches.
A 36 inch post cast a shadow of 24 inches.
This means that the shadow is [tex]\frac{24}{36} = \frac{2}{3}[/tex] of the real height.
At the same time a telephone pole cast a shadow of 22 ft 8 in.
Each feet has 12 inches, so it has:
22*12 + 8 = 272 in.
2/3 of the real height is 272 in. So
[tex]\frac{2h}{3} = 272[/tex]
[tex]h = \frac{272*3}{2}[/tex]
[tex]h = 408[/tex]
The height of the telephone pole is of 408 inches = 34 ft.
The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixed at 2.52.52, point, 5 kilometers. At a certain instant, the radius is 404040 kilometers. What is the rate of change of the volume of the cylinder at that instant (in cubic kilometers per second)
Answer:
7536 [tex]km^3/sec[/tex]
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.
[tex]Volume = \pi r^2h[/tex]
Where [tex]r[/tex] is the radius and
[tex]h[/tex] is the height of cylinder.
As per question statement:
[tex]r[/tex] = 40 km (variable)
[tex]h[/tex] = 2.5 (constant)
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h[/tex]
As [tex]\pi, h[/tex] are constant:
[tex]\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec[/tex]
Anthony has 115 books in his room he is storing them in boxes each box holds 17 books how many boxes does Anthony mean
Answer:
7
Step-by-step explanation:
115/17=6.7..... Round up to 7.
7 boxes should be the answer
The Corner Cafe recently served 8 pastries, including 4 blueberry scones. Considering this data, how many of the next 18 pastries served should you expect to be blueberry scones? blueberry scones
Answer:
9
Step-by-step explanation:
because half of the 8 pastries served were blueberry. so you would divide 18 by 2
PLEASE HELP I BEG OF YOU!???
Answer:
24.9
first to find the price of the DVD's you multiply 5 x 4.40 which is 22, then you add the 2.90 10 get 24.90.
btw plz put me as brainliest.
2. Explanation
X and Y are whole numbers.
X% Y finds the remainder after you divide X by Y.
For example, 7 % 3, means divide 7 by 3 and determine what is left over (7 divided by 3
equals 2 and the remainder is 1). So, 7% 3 equals 1.
Question
If X is a number. Which of the following will find the last digit of X?
For example, the last digit of 1327 is 7.
O A:X% 2
O
B:X%3
O C:X% 5
O D:X% 10
O EX% 100
Answer:
x%3
Step-by-step explanation:
The remainder of a division is the whole number, after the complete division. The expression that finds the last digit of 1327 is: [tex]X \% 10[/tex]
Given that:
[tex]X = 1327[/tex]
To do this, we simply test the given options.
[tex]X \%2 = 1327 \% 2[/tex]
When 1327 is divided by 2,
The result is 663, remainder 1
So, we have:
[tex]X \%2 = 1[/tex]
[tex]X \%3 = 1327 \% 3[/tex]
When 1327 is divided by 3
The result is 442, remainder 1
So, we have:
[tex]X \% 3 = 1[/tex]
[tex]X \% 5 = 1327 \% 5[/tex]
When 1327 is divided by 5
The result is 265, remainder 2
So, we have:
[tex]X \% 5 = 2[/tex]
[tex]X \% 10 = 1327 \% 10[/tex]
When 1327 is divided by 10
The result is 132, remainder 10
So, we have:
[tex]X \% 10 = 7[/tex]
[tex]X \% 100 = 1327 \% 100[/tex]
When 1327 is divided by 100,
The result is 13, remainder 27
So, we have:
[tex]X \% 100 = 27[/tex]
Hence, the expression that finds the last digit is: [tex]X \% 10[/tex]
Because the result is 7
Read more about remainder operations at:
https://brainly.com/question/8152888
Find the domain of the graphed function.
10
-104
A. -4sxs8
B. -4 sxs 9
C. xis all real numbers.
D. X2-4
Answer:
Answer would be B.
Step-by-step explanation:
there are two dors located at x= -4 and x=9
Complete each of the following division problems by first writing each of them as a fraction.
A. -6 divided 8
B. 6 divided (-8)
C. 0 divided 8
D. 6 divided 0
Answer:
Step-by-step explanation:
A. -6/8=-3/4
B.6/(-8)=-3/4
C. 0/8=O
D.6/0=Undefine
which algebra tiles are used in this equation:
4x + 7 = 23
Answer:
4x+7=23
4.4+7=23
Step-by-step explanation:
23-7=16
16/4=4
The algebra tiles used in the equation 4x + 7 = 23 are four x-tiles, seven unit tiles, and 23 unit tiles.
To model the equation 4x + 7 = 23 using algebra tiles, we would use variable tiles (x-tiles) and unit tiles.
For the term 4x, we would use four x-tiles since the coefficient is 4.
For the term 7, we would use seven unit tiles since it is a constant.
The equal sign (=) does not have a specific tile representation; it simply indicates the equation's balance.
On the other side of the equation, for the term 23, we would represent it using 23 unit tiles.
So, the algebra tiles used in this equation would be four x-tiles, seven unit tiles, and 23 unit tiles.
To know more about algebra, refer here:
https://brainly.com/question/31274000
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Graph the line.
-2x+y=4
You don't need to graph it, I just need the equation in a y=mx+b format
y = 2x + 4
Step-by-step explanation:
Answer:
Not 100% sure if this is right but i think it would be y=2x + 4
Step-by-step explanation:
What is the y - intercept of EACH line?
Line 1
Line 2
( will give brainliest)
Step-by-step explanation:
The y-intercept is the value where the line crosses the y-axis.
y-intercept of Line 1 (blue) = 4.
y-intercept of Line 2 (red) = 1.
20% is 25% of _______________.
Cara earns money for her club by selling breakfast tickets (B) for $3 and lunch tickets (L) for $5. She wants to raise at least $500 for her club, and she
wants to sell fewer than 200 tickets.
Answer: 250 $3 tickets and 100 $2 tickets were sold.
can i have brainlest and i will give you brainest just so this question does not delete i will give easeist question ever
0x0
Answer:
0
Step-by-step explanation:
say that you have 0 bottles of ketchup and you get 0 more bottles of ketchup every hour you work. not only does it make no sense but if you work zero hours you will end up with 0 ketchup bottles
Which statement correctly explains how Marì could find the solution to the following system of linear equations using
elimination?
2f-5g=-9
-7+3g=4
Given that,
The equations : 2f-5g=-9 and -7f+3g=4
To find,
The solution of the above equations.
Solution,
We have,
2f-5g=-9 ....(1)
-7f+3g=4 ......(2)
Multiply equation (1) by 7 and equation (2) by 2.
14f-35g=-63 ....(3)
-14f+6g=8 ......(4)
Add equation (3) and (4)
14f-35g -14f+6g = -63 + 8
-29g = -55
g = 55/29
g = 1.89
Put the value of g in equation (1).
2f-5(1.89)=-9
2f = -9+5(1.89)
f = 0.225
Hence, the solution of the above equations are g = 1.89 and f = 0.225.
Answer:
A
Step-by-step explanation:
edg 2021
What is the decimal expansion of 1/22
Answer:
0.04545454545
Step-by-step explanation:
Divide 1 by 22
Answer:
0.0454545454545454545
Step-by-step explanation:
(1/2 times 1/11)
Solve = Brainiest Plz Help
Answer:
Step-by-step explanation:
89
Find the missing length
Answer:
26
Step-by-step explanation:
Charles is planning on driving his car to the family reunion. The distance to
the meeting place is 1243 miles. If his car gets 30 mpg, how many gallons of
gas will he need?
A. 41.4
B. 51.4
C. 31.4
D. 21.4
Answer: 41.4
Step-by-step explanation:
1243/30=41.4
Find the missing lengths. Round to the nearest tenth as needed.
1. x
2. y
3. z
Answer:
The answer is X
Step-by-step explanation:
Sike, I aint finna help you. What you thoguht this was? A cheating website, get yo lil ah off this shi
we are told 5 miles is 8km. Convert 12.5miles to km
Answer:
20.1168
Step-by-step explanation:
#carryonlearning
#carryonlearning
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Choose all the expressions that are equal to 3.27 ÷ 100.
A. 32.7 ÷ 1,000
B. 3.27 ÷ 102
C. 0.327 ÷ 1
D. 3,270 ÷ 103
E. 0.327 ÷ 10
Answer:
eab
Step-by-step explanation:
Answer:
0.0327 there i helped -_-
Np 0.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.0327
Find the slope of the line.
(Will give brainliest)
Answer:bro its just a black picture
Step-by-step explanation:
Pls sum one help me I need it
Answer:
3.9
Step-by-step explanation:
bshwhsbwjwwjusushs