Answer:
g(h(6)) = 36
h(g(6)) = 36
Explanation:
There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.
Answer:
g(h(6)) = 36
h(g(6)) = 36
Step-by-step explanation:
There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.
Use linear approximation to approximate √25.3 as follows.
Let f(x)=√x. The equation of the tangent line to f(x) at x=25 can be written in the form y=mx+b. Compute m,b.
Using this, find the approximation for √25.3.
The idea is to use the tangent line to [tex]f(x)=\sqrt x[/tex] at [tex]x=25[/tex] in order to approximate [tex]f(25.3)=\sqrt{25.3}[/tex].
We have
[tex]f(x)=\sqrt x\implies f(25)=\sqrt{25}=5[/tex]
[tex]f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}[/tex]
so the linear approximation to [tex]f(x)[/tex] is
[tex]L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92[/tex]
Hence [tex]m=\frac1{10}[/tex] and [tex]b=\frac92[/tex].
Then
[tex]f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}[/tex]
Are the following lines parallel, perpendicular, or neither: x=6 and x=12 Please show work or explain
Answer:
x=6 and x=12 are parallel.
Step-by-step explanation:
If you graph x=6 it will be a straight verticle line on the x-axis where 6 is, same with x=12 (put a vertical line on 12 for the x-axis). When you put these both on the same graph you see they are directly across from each other but will never touch. Therefore, they are parallel. If you are writing this on paper, simply draw a graph to show this.
What is -2(5) ? I need it really quick pls !
Answer:
-10
Step-by-step explanation:
A negative times a positive is a negative.
Hey there!
[tex]Answer:\boxed{-10}[/tex]
[tex]Explanation:[/tex]
[tex]-2(5)[/tex]
[tex]-2*5[/tex] Remove parenthesis
[tex]-2*5=-10[/tex] Multiply and get answer.
[tex]-10[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
16) The original price of a shirt is $18. The shirt is on sale for a 20% discount. What is the sale price of
the shirt?
Martin spent $68 on a new drone that he had been saving for now he has $41 left in his savings jar click the equation that could be used to find the total of his savings before he bought the Drone
Answer:
The answer is 109
Step-by-step explanation: i'm too lazy to explain the math but that's the answer ψ(._. )>
Hence, the total savings in the account of Martin is $[tex]109[/tex].
What are the savings?
Savings refers to the money that a person has left over after they subtract out their . Savings are kept in the form of cash.
Here given that,
Martin spent $[tex]68[/tex] on a new drone that he had been saving for now he has $[tex]41[/tex] left in his savings.
So, the total savings of Martin is
[tex]68+41=109[/tex]
Hence, the total savings in the account of Martin is $[tex]109[/tex].
To know more about the savings
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A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 90% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Two hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks
Answer:
1. How many will be infected next week
From the information, there are 1000 mice in the lab.
200 mice are infected. It is expected that 90% of the mice are expected to overcome the infection and 40% uninfected mice will be infected.
If 200 mice are infected, then number of uninfected mice is:
= 1000 - 200 = 800
90% of infected mice get cured. Out of 200 mice who are infected, the number of mice getting cures is:
N(E) = P(E)×N(S)
= 0.90*200
= 180
The number of mice still infected is 200 - 180 = 20
Out of 800 uninfected mice, 40% will get infected. Number of infected mice is:
N(E) = P(E) * N(S)
= 0.40 * 800
= 320
Total number of infected mice is 320 + 20 = 340 . Thus, the number of infected mice next week is 340
2. How many will be infected in 3 weeks
After three week, the number of infected mice is 340. Therefore, the number of uninfected mice is 1000 - 340 = 660
Now, out of 340 mice, it is expected that 90% will recover. This indicates that 10% will remain infected. Then the number of infected mice is
N(E) = P(E) * N(S)
= 0.10 * 340
= 34
Out of 660 mice, 40% will be infected. The number of mice becoming infected is
N(E) = P(E) * N(S)
= 0.40 * 660
= 264
Total number of infected mice is 264 + 34 =298. Thus, the number of infected mice after two weeks is 298.
four and four fifths times a number is one and one fifth (write that as an equation)
Answer:
4 4/5 (x) = 1 1/5
Step-by-step explanation:
During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs being hit seemed to be unusually large. Below are separate stemplots for the number of home runs by American League and National League teams based on the team-by-team statistics on home runs hit through Friday, June 3, 1994 (from the Columbus Dispatch, Sunday, June 5, 1994). Legend: 2|9 represents 29. What is the mean for the number of home runs for the National League teams
Complete Question
The picture of the stem plot National and American League is shown on the first uploaded image
Answer:
The value is [tex]\= x = 50.14[/tex]
Step-by-step explanation:
From the question we are told that
The stem plot for National League is
[tex]2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ \ 3\ 3\ 7\\7[/tex]
The sample size is n = 14
Generally the stem plot is interpreted in this manner
The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with
for example 4th row
5 3 5 5 5
is equivalent to
53 55 55 55
Generally the mean for the national league is mathematically represented as
[tex]\= x = \frac{29 + 31 + \cdots + 67}{14}[/tex]
=> [tex]\= x = \frac{702}{14}[/tex]
=> [tex]\= x = 50.14[/tex]
The approximate heights of two of the world's tallest mountains are given. Determine which is the taller mountain and by how many meters. Round to the nearest meter. Dhaulagiri l: 8167 meters and Manaslu: 26,781 feet Click the icon to view a table of English and Metric Equivalents. The taller mountain, Dhaulagiri 1 , is taller by approximately (Round to the nearest meter as needed.) meters.
Answer:
The taller mountain is Dhaulagiri, by approximately 4 meters.8163
Step-by-step explanation:
You first need to convert the height of Manaslu to cm using the table, so you multiple 26,781 feet by 30.48 cm to get 816284.88. Then you need to convert that to meters, so you divide by 100 to get 8162.8488. Lastly you round that and subtract it from 8167 to see how much taller it is.
Hope this helps :)
what is the answer
what is the domain of this function
Answer:
it would be C i believe
Step-by-step explanation:
Answer:
C. {-1, 3, 5}
Step-by-step explanation:
The first oval is the domain and the second oval is the range.
Can you please help with this question?
The model represents an equation. What value of X makes the equation true?
A) 29/8
B) 29/2
C) - 29/2
D). - 29/8
A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum is 114. How many of each were there originally?
Answer:
Original number of sixes = 6
Original number of nines = 10
Step-by-step explanation:
We are told in the question that:
A certain number of sixes and nines is added to give a sum of 126
Let us represent originally
the number of sixes = a
the number of nines = b
Hence:
6 × a + 9 × b = 126
6a + 9b = 126.....Equation 1
If the number of sixes and nines is interchanged, the new sum is 114.
For this second part, because it is interchanged,
Let us represent
the number of sixes = b
the number of nines = a
6 × b + 9 × a = 114
6b + 9a = 114.......Equation 2
9a + 6b = 114 .......Equation 2
6a + 9b = 126.....Equation 1
9a + 6b = 114 .......Equation 2
We solve using Elimination method
Multiply Equation 1 by the coefficient of a in Equation 2
Multiply Equation 2 by the coefficient of a in Equation 1
6a + 9b = 126.....Equation 1 × 9
9a + 6b = 114 .......Equation 2 × 6
54a + 81b = 1134 ........ Equation 3
54a + 36b = 684.........Equation 4
Subtract Equation 4 from Equation 3
= 45b = 450
divide both sides by b
45b/45 = 450/45
b = 10
Therefore, since the original the number of nines = b,
Original number of nines = 10
Also, to find the original number of sixes = a
We substitute 10 for b in Equation 1
6a + 9b = 126.....Equation 1
6a + 9 × 10 = 126
6a + 90 = 126
6a = 126 - 90
6a = 36
a = 36/6
a = 6
Therefore, the original number of sixes is 6
Classify the equilibrium solutions as asymptotically stable or unstable. Entry field with incorrect answer is unstable, is unstable, is unstable. is unstable, is asymptotically stable, is unstable. is asymptotically stable, is unstable, is asymptotically stable. is asymptotically stable, is asymptotically stable, is unstable. is unstable, is asymptotically stable, is asymptotically stable.
Answer:
asymptotically stable.
Step-by-step explanation:
Equilibrium solutions in which solutions that starts near and then moves away from equilibrium solutions are asymptotically unstable. Equilibrium solutions which solutions starts nears and then move towards the equilibrium are asymptotically stable.
Which mathematical term is undefined?
A. Line
B. Parallel Lines
C. Angle
D. Line Segment
Answer:
Line
Step-by-step explanation:
I got it right.
mark brainliest
please
The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?
Answer:
[tex]f(x) = \frac{2x}{2x + 3}[/tex]
Step-by-step explanation:
Given
[tex]h(x) = \frac{2x + 3}{x}[/tex]
[tex]g(x) = \frac{2}{x}[/tex]
[tex]g(f(x)) = h(x)[/tex]
Required
Find f(x)
[tex]g(x) = \frac{2}{x}[/tex]
Substitute x for f(x)
[tex]g(f(x)) = \frac{2}{f(x)}[/tex]
Recall that
[tex]g(f(x)) = h(x)[/tex]
This gives
[tex]\frac{2}{f(x)} = \frac{2x + 3}{x}[/tex]
Cross Multiply
[tex]f(x) * (2x + 3) = 2 * x[/tex]
[tex]f(x) * (2x + 3) = 2 x[/tex]
Make f(x) the subject of formula
[tex]f(x) = \frac{2x}{2x + 3}[/tex]
Answer:
x/x+3
Step-by-step explanation:
15 points help asap 2 math questions
Answer
the first one A the second one B
Step-by-step explanation:
Four times the sum of some number plus 2 is equal to 8 times the number minus 16.
Answer:
x=9/2
Step-by-step explanation:
4x+2=8x-16
-4x=-18
4x=18
x=18/4
x=9/2
The number is 6.
Let the unknown number be represented with y
This formula can be derived from the question: 4 (y + 2) = 8y - 16
In order to determine the value of y, take the following steps:
Combine similar terms
8 + 16 = 8y - 4y
Add similar terms
24 = 4y
Divide both sides by 4
y = 6
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I need help please
A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the function f(x) = -x4 + 3x3 + 5x2 + 20x + 1. What is the least number of bouquets that must be sold for the store to make a profit?
a. 3
b.4
c.5
d.6
Answer:
5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Ed2021
Given the function h (x) = 2x + 4, for which value of x does h (x) = 18?
The required value for which h(x) = 18 is given as x = 7.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The function h(x) = 2x + 4 - - - - (1)
Since h(x) =18
Substitute h(x) = 18 in equation 1,
18 = 2x + 4
Simplify
18 - 4 = 2x
x = 14 / 2
x = 7
Thus, the required value for which h(x) = 18 is given as x = 7.
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Determine if the two triangles shown are similar. If so, write the similarity statement.
2x - 4y = -8
Solve for y
Need help ASAP!
Answer:
y = 1/2x + 2
Step-by-step explanation:
2x - 4y = -8Solving for y in steps:
2x - 4y + 8 + 4y= 4y2x + 8 = 4yx + 4 = 2yy = x/2 + 4/2y = 1/2x + 2what is the length of the altitude of the equilateral triangle
Answer:
Altitude of Equilateral Triangle
Step-by-step explanation:
pls help my brain is empty !! picture included
Answer:
x>2
The graph would have a 2 with an open circle above it. The line would cover all numbers greater than 2.
Step-by-step explanation:
6x-5(2x-1)<4-2x
6x-10x+5<4-2x
-4x+5<4-2x
-4x+2x<4-5
-2x<-1
x>-1÷(-2) (You flip the sign when you multiply or divide both sides by a negative number)
x>2
Pablo wants to find the most popular television show among seventh-grade students at his school. Which method will most likely result in a representative sample of the population? randomly survey 50 people at Pablo's school randomly survey 50 seventh-grade students at Pablo's school randomly survey 50 students from each grade at Pablo's school randomly survey 50 students at Pablo's school
Answer:
randomly survey 50 seventh-grade students at Pablo's school
Step-by-step explanation:
In this experiment, the focus is on seventh graders, and therefore a more representative sample of the population will be to select 50 seventh-grade students from Pablo's school. Selecting this category of sample will increase the confidence in the result of the statistical experiment.
Which two ordered pairs represent a proportional relationship? A. (2, 2) and (2, 4) B. (1, 2) and (2, 4) C. (3, 3) and (2, 4) D. (1, 2) and (2, 6)
Answer:
I am guessing the answer would be...
A. (2.2)
Step-by-step explanation:
A proportional relationship is a relationship where the ordered pairs are the same. 2 and 2 are the same.
Given the translation rule (x, y) —— (x+7, y - 1), what is the pre-image
of D' (2,-3)?
A. D(-5, -2)
B. D(9,-4)
C. D(9,-2)
D. D(-5, -4)
Answer:
A
Step-by-step explanation:
it says pre-image so you want the value before you added 7 and subtracted 1.
4. A bakery can make 58 packages of cookies
in one hour. There are 24 cookies in each
package. Which is the best estimate of the
number of cookies the bakery makes in one
hour.
a. 12,000
b. 120
c. 1,200
Show work to support your answer.
Answer:
C
Step-by-step explanation:
58*24=1392, which is closest to 1200.
Or, you could round the numbers to the nearest tens place, which would give you 60*20, giving you the exact answer of 1200. I think this was the preferred way of solving it.
Solve for x in 3 = (1/44)x
Answer:
132
Step-by-step explanation:
3 = 1/44x
÷1/44. - 1/44
= 132. = x
Answer:
x = 132
Step-by-step explanation:
3 = (1/44)x
3/(1/44) = (1/44)x/(1/44)
132 = x
