Answer:
[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]
Step-by-step explanation:
Given the function:
[tex]f(x) = \frac{3x+5}{7}[/tex]
Put f(x) = y
[tex]y = \frac{3x+5}{7}[/tex]
Interchange x and y
[tex]x = \frac{3y+5}{7}[/tex]
Solve for y
[tex]x = \frac{3y+5}{7}[/tex]
Multiplying both sides by 7
[tex]7x = 3y+5[/tex]
Subtracting y to both sides
[tex]7x-5 = 3y[/tex]
Dividing both sides by 3
[tex]\frac{7x-5}{3} = y[/tex]
OR
[tex]y = \frac{7x-5}{3}[/tex]
Put y = [tex]f^{-1}(x)[/tex]
So,
[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]
Hope this helped!
~AnonymousHelper1807simplify the expression -4(x - 5)
Answer:
-4x+20
Step-by-step explanation:
[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]
What is the slope of the line parallel to y = 3x + 2
Zero
1
3
3
-3
Parallel lines have slopes which are equal to each other.
We know that y = 3x + 2 has a slope of 3, therefore, the line parallel to y = 3x + 2 has a slope of 3.
find the missing angle
Answer:
I don’t have the answer but I recommend downloading socratic I use this app and it is so helpful
Step-by-step explanation:
It helps me with all my questions
Please help I’m struggling on this question.
Answer: [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]
Step-by-step explanation:
To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.
[tex]\frac{y+4}{y-8} +\frac{y-8}{y+4}[/tex] [multiply first fraction by y+4 and second by y-8]
[tex]\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}[/tex] [distribute by FOIL]
[tex]\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}[/tex] [add numerator]
[tex]\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}[/tex] [combine like terms]
[tex]\frac{2y^2-8y+80}{(y-8)(y+4)}[/tex] [factor out 2 from numerator]
[tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]
Now we know that [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex] is the factored form after adding.
what is 660 increased by 1 followed by a further one
how many numbers lie between squares of 12 and 13
Answer:
therefore 25 numbers lie inbetween.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
50 POINTS FOR THE ANSWER! Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won? Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625. Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Answer:
zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625
Step-by-step explanation:
given: vanessa and zack are playing a game where the player with the lower score wins
score of vanessa=
[tex] - 3 \frac{5}{8} = - ( \frac{29}{8}) = - 3.625 [/tex]
score of zack:
[tex] -3 \frac{2}{3} = - ( \frac{11}{3} ) = - 3.666[/tex]
we can see -3.666<-3.625
zack has the lower score
Answer:
zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625
Step-by-step explanation:
What is a unit rate?
Answer:
The numbers or measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Answer:
Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.
Step-by-step explanation:
It's also your rise over run, remember to look at the unit of measurement when counting. Example, If rise over run is 1Mile/15min. That's a unit rate.
please help!! Two sides of a triangle, a and b, have lengths 1 in
Answer:
Angle A and B: tan^-1 (1/1) = 45°
Angle C: 90°
Side C:
[tex] \sqrt{ {1}^{2} + {1}^{2} } = \sqrt{2} [/tex]
PLEASE MARK AS BRAINLIEST
A parking garage charges $2 for the hour and $1 each additional hour. Fran has $9.90 to spend for parking. What is the greatest number of hours Fran can park
Answer:
Frank can park 8.9 hours at the highest
Step-by-step explanation:
Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.
From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.
Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x
By adding this to the initial $2, we have the total $9.90
So, mathematically;
2 + x = 9.90
x = 9.9 -2
x = 7.9 hours
Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours
Solve ax + bx = c for x
a,b,c represent nonzero constants
Answer:
x=(c/a+b)
Step-by-step explanation:
..........
Answer:
x = [tex]\frac{c}{a+b}[/tex]
Step-by-step explanation:
Given
ax + bx = c ← factor out x from each term on the left side
x(a + b) = c ← divide both sides by (a + b)
x = [tex]\frac{c}{a+b}[/tex]
list a least two metric units that you can use to measure volume
Answer:
1-Rectangular prism
2-cube
Step-by-step explanation:
Rectangular prism - Multiply the measurement of the length times the width, then times the height.
Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³
Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.
Answer:
x=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
|x+6|=|x-12|
x+6=±(x-12)
when x+6=x-12
6=-12
which is impossible hence rejected.
x+6=-(x-12)
x+6=-x+12
x+x=12-6
2x=6
x=6/2=3
so x=3
In the equation 4x - 8 = -12, the second step would be to...
Answer:
4x = -4
Step-by-step explanation:
4x = -12+8
4x = -4
x = -1
Step-by-step explanation:
4x - 8 = -12
4x = 8 - 12
4x = -4
x = (-4)/4
x = -1
According to a newspaper report, A 63 year old man has rowed around the world without leaving his living room. He clocked up 24084 miles on a rowing machine that he recieved for his 50th birthday. Roughly how many miles per year has he rowed since he was given the machine?
A) 200
B) 500
C) 1000
D) 2000
E) 4000
(can i get it with the full working out please)
The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.
The number of miles per year is calculated as,
⇒ 24,084 / (63 - 50)
⇒ 24,084 / 13
⇒ 1852.61 ≈ 2,000
The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
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10. Write and equivalent expression for the
expression 4-4.
Answer:
0
Step-by-step explanation:
There are an infinite number of equivalent expressions. Perhaps the simplest is the value of the expression:
4 - 4 = 0
Solve for w.
4 = 0.25(w-4.3)
W=20.3
solve what's in the parenthesis, move the terms, calculate, then divide both sides.
Answer:
20.3
Step-by-step explanation:
I did it and it was right on khan
6*10^-2 is how many times as large as 2*10^-8
Answer:
3000000
Step-by-step explanation:
6×[tex]10^{-2}[/tex] = 6 × 1/(10)² = 6 × 1/100 = 6/1002×[tex]10^{-8}[/tex] = 2 × 1/[tex]10^{8}[/tex] = 2 × 1/100000000 = 2/100000000Divide 6/100 and 2/100000000 to find how many times as large
The answer is 3000000
The baseball team is ordering hats for the upcoming season. The hat company
charges a certain amount per hat plus an initial fee of $55. There are 14 players on the
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?
explain how 5x-3y=2 and 5x-3y=8 are parallel without doing any calculations
Answer:
They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.
5x - 2y = 2
and
5x - 2y = 8
The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.
For Example:
5x - 2y = 9
and
5x - 2y = 9
they're the same, meaning overlap.
The map shows a straight highway between two towns. Highway planners want to build two new rest stops between the towns so that two rest stops divided the highway into three equal parts. Find the coordinates of the points at which the rest stops should be built.
1,1 and -1,0 would be the answer
(-2, -1/3) and (1, 1 1/3) the coordinates of the points at which the rest stops should be built.
What is coordinates point?
A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
According to the question,
In given figure,
x from -3 to +3
1/3 would be -2
2/3 would be +1
y from -2 to +3
1/3 would be -2 + 5/3 = -1/3
2/3 would be -2 + 10/3 = 1 1/3
The two coordinates
(-2, -1/3) and (1, 1 1/3)
Hence , (-2, -1/3) and (1, 1 1/3) the coordinates of the points at which the rest stops should be built.
To learn more about coordinate from here
https://brainly.in/question/19953416
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please answer asap please
Answer:
( 6,-1)
Step-by-step explanation:
Point B is at ( 0,3)
We are going down 4 units so subtract 4 from y
and going right 6 units so add 6 to x
(0+6 , 3-4)
( 6,-1) is the location of B'
Answer:
B- its going 4 down from positive 3 which will make it -1 and 6 over from 0 which makes it 6 and that gives you the answer of (-1,6)
Gertrude has 71.502 ounces of butter. How many ounces of butter does she have, rounded to the nearest hundredth?
Answer:
71.500
Step-by-step explanation:
502 is closer to 500 than 600.
Answer:
71.50
Step-by-step explanation:
This is because 2 is not up to 5, so it can't be turned into 1 and be added to 0.
hey mm, i’m lost idk what to do •__•
Evaluate each expression if a = 4, b = 6, and c = 2.
Answer:
26
Step-by-step explanation:
ab+c
plug in #s
4(6)+2
start to solve
24+2
26
A coordinate plane with a line passing through (negative 3, 2) and (0, 3) Find the linear function represented by the graph. The slope of the line is . The y-intercept of the line is at . What linear function is represented by the graph?
1/3
3
f(x) = (1/3)x+3
nice
Answer:
Find the linear function represented by the graph.
The slope of the line is
✔ 1/3
.
The y-intercept of the line is at
✔ 3
.
What linear function is represented by the graph?
✔ f(x) = (1/3)x + 3
Step-by-step explanation:
(D2+6d+9)+(d3-6d+9)
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
33cm cubed
Step-by-step explanation:
6 blocks by 3 blocks by 2 blocks = 36 - 3 cause of the missing blocks = 33
Sebastian plays a snare drum that has a radius of 3 inches. What is the drum's diameter? ______ inches
Answer:6
Step-by-step explanation:
d=2r
Can someone help mewith this
Answer:
(x+3)(x-3) * 2
4 (x-3) (x+3)
= 1/2
Answer:
1/2
Step-by-step explanation:
[tex]\frac{(x-3) * (x+3) }{2(2x-6)}[/tex] × [tex]\frac{2}{x+3}[/tex]
[tex]\frac{(x-3)*1}{2(x-3)}[/tex]
[tex]\frac{1}{2}[/tex]