Answers
Answer:
d
Step-by-step explanation:
Related Questions
4. Verify that the functions fand g are inverses of each other by showing that
f(g(x)) = x and g(f(x)) = x.
F(x)=2x-3/x+4
g(x) = 3+4x/2-x
Answers
Answer and step-by-step explanation:
We just have to apply one function in the other one. See:
→ f(g(x)):
[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]
→ g(f(x)):
[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]
What verifies that f and g are inverses of each other.
Q.E.D.
0.3, 0.08, 0.003, 0.83
In order from smallest to largest
Answers
Answer:
0.003, 0.08, 0.3, 0.83
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answers
Answer:
She runs 6 miles in total.
Need help will mark Brainliest
Answers
Assuming the triangle adds up to 180°, x = 55 because 55 + 5 = 60. 60 x 3 = 180
50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?
Answers
Answer:
66
Step-by-step explanation:
50% = 1/2
33 x 2 = 66
QUESTION 4 of 10: Market researchers often report discretionary income. Discretionary income is your disposable income minus your fixed
expenses. Your disposable income is $2,920. After you pay fixed expenses of rent, utilities, groceries, and a car payment, you have $900.
What percentage of your disposable income is discretionary?
a) 18%
b) 31%
c) 45%
d) 69%
Answers
Answer:31
Step-by-step explanation:
Answer:
b) 31 %
Step-by-step explanation:
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Answers
Answer: The required three consecutive odd integers are 7, 9 , 11.
Step-by-step explanation:
Let x , x+2 , x+4 be the three consecutive odd integers.
As per given ,
10(x) = 59+x+4
⇒10x= 59+x+4
⇒ 9x= 63
⇒ x= 7 [ divide both sides by 7]
Hence, the required three consecutive odd integers are 7, 9 , 11.
-a^2b^2c^2(a+b-c) find the product
Answers
Answer:
-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3
I hope it will be useful.
Please help!
Thanks in advance.
Answers
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!
Help Please I really need help!
Answers
because the flat rate will stay the same, depending on how many hours or labor is how much more money you will pay. 60 dollars per hour of labor
if a coin is flipped 3 times, how likely are you to get tails 3 times in a row
Answers
Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Step-by-step explanation:
A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?
Answers
Answer:
28
Step-by-step explanation:
F=2.25+0.20(m-1)
7.65=2.25+0.20(m-1)
5.4=0.20(m-1)
5.4/0.20=0.20(m-1)/0.20
27=m-1
28=m
Please I need help and I give brainliest thank you!!
Answers
Answer:
i believe it is x=4
Step-by-step explanation:
10x+7=12x-1
7=12x−1−10x
8=2x
divide
x=4
:∫ PLZZ help ;⊃ plz no playing around I need actual answer
Answers
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
15/10 goes down to 3/2 divide 15 by 5
21/14 goes down to 3/2 divide 21 by 7
Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?
•10.0
•13.4
•17.1
•21.6
Answers
Answer:
B. 17.1
Step-by-step explanation:
Edge 2020. Hope this helps.
The magnitude of 2(u-v +w) is √292.
The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.
We need to find the value of 2(u-v+w).
How to find the magnitude of vector?The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.
Now, 2(2i + 3j-(-i)+5i-6j)
=2(2i+3j+i+5i-6j)
=2(8i-3j)=16i-6j
The magnitude of 16i-6j=√16²+6²=√256+36=√292
Therefore, the magnitude of 2(u-v +w) is √292.
To learn more about the magnitude of vectors visit:
https://brainly.com/question/24256726.
#SPJ2
What Is 55 > -7x + 6 ?
Answers
Answer:
x>−7
Step-by-step explanation:
55−6>−7x
49>−7x
−
7
49
<x
−7<x
x>−7
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answers
Answer:
The answer is 36m.
Step-by-step explanation:
So, first of all, you need to remember that the formula for the area of a square is x^2, or one side multiplied by another side. Also recall that in a square all sides are equal. This means that x^2=81. Now, the square root of 81 equals 9 (you should have this memorized by now). So, if each side of the square is 9, and there are 4 sides, the perimeter would be 9*4, which is 36m.
pattern 60 52 44 36
Answers
List all sets that -1/3 belongs to.
Answers
Answer:
dfffffffff
Step-by-step explanation:
xcdsw23456iu76
the first six multiples of 6
Answers
The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answers
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
a pump can fill 2400 litres an hour and its replacement model can fill 2.5% more, how man litters an hour can the new model fill
Answers
Answer:
2,460 liters per hour
Step-by-Step Explanation:
The problem above requires only two operations: multiplication and addition. First, you have to answer this question: How much is 2.5% of 2,400 liters?"
You may do this by multiplying 2,400 by 2.5%.
2,400 x 2.5% (0.025) = 60 liters (this is the amount that the new model can fill more than old model).
Then, you have to add 60 liters to 2,400 liters.
2,400 liters + 60 liters = 2,460 liters
This means that the new model can fill 2,460 liters per hour.
if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use
Answers
Answer:
wat
Step-by-step explanation:
Write the slope intercept form of the equation of the line through the given point with the given slope
Through: (-2,1), slope = -3
Answers
Plug it in: y = -3x + b
1 = -3(-2) + b
1 = 6 + b
b = -5
Final equation: y = -3x -5
PLEASEEEE HELPPP MEEE :(
Answers
Answer:
Question 5 is B
Because after I simplified I got B and its the only one that makes sense.
Write the standard form of the line that has a slope of −3/4 and y-intercept of −2. Include your work in your final answer.
Answers
Y=Mx+b —-> Y=-3/4x-2
Then we can put it in standard form
Ax+By=C
We move the x to the other side
3/4x+y=-2
And that’ll be your answer :)
*if Ax it’s not positive you will have to multiply by -1*
Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Answers
Earl runs 1.5 meters per second.................
Math problem pls help I will give brainiest
Answers
Answer:
y=5
Step-by-step explanation:
125 +125+13y+9y=360
punch it into math-way.
250+22y=360
22y= 110
y=5
Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19
Answers
-16/2(-4) = 2
Substitute 2 into the equation
Y = -4(2)^2 + 16(2) - 19
Y = -16 + 32 - 19 = -3
Vertex = (2, -3)
Vertex form y+3=-4(x-2)^2
Find the area of the parallelogram.
Answers
Answer:
Step-by-step explanation:
Area of parallelogram = base * height
= 3 * 3
= 9 square units