g(f(x)) = x
What is inverse function?
An inverse function is defined as a function, which can reverse into another function.
[tex]f(x)= \frac{(x + 5)}{(2x + 1)}[/tex]
[tex]g(x)= \frac{(5 - x)}{(2x - 1)}[/tex]
[tex]g(f(x))=g( \frac{(x+5)}{(2x +1)})[/tex]
Substitute the value of f(x),
[tex]g(f(x))= \frac{(5 - \frac{(x + 5)}{(2x + 1)})}{(2 \frac{(x + 5)}{(2x + 1)} - 1)}[/tex]
[tex]g(f(x))= \frac{\frac{10x+5-x-5}{2x+1} }{ \frac{2x+10-2x-1}{2x+1}}[/tex]
[tex]g(f(x)) = \frac{9x}{9}[/tex]
g(f(x)) = x
Hence, g(f(x)) = x
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If 6/10 is multiplied by a fraction less than one what will be the product?
Answer:
If 6/10 is multiple by a fraction less then one the product would be 1/2
Step-by-step explanation:
6/10 is also equal to 0.6
If 0.6 is multipled by something less then one the product would not be able to be greater then 6/10
Resulting in 1/2 being the product.
Answer: All you gotta do is multiply 6x10 and then u get 60 so the product of of 6/10 is 60
Write the linear inequality shown in the graph. The gray area represents the shaded region.
x > –3
y ≥ –3
y > –3
x ≥ –3
Answer:
y > –3
Step-by-step explanation:
by looking at the graph we notice that the (shaded/gray) area which we are focusing on covers all the values of x ,on the other hand it only covers the values of y which they are Greater than -3
Remark : y > -3 not y ≥ -3 because the line that separates the shaded region and the other one is a broken line.
Answer:
y > –3
Step-by-step explanation:
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
This is a quadrilateral.
Sum of all angles of a quadrilateral = 360
x + 100 + 60 + 95 = 360
x + 255 = 360
x = 360 - 255
x = 105°
Answer:
Angle X= 105 Degrees
Step-by-step explanation:
1. Create Equation
100+60+95+x=360
2. Solve
100+60+95+x=360
160+95+x=360
255+x=360
255-255+x=360-255
x=105
3. Check
100+60+95+105=360
160+95+105=360
255+105=360
360=360
Correct!
4. Answer
x=105
Solve: 101x-99y=103
-99x+101y=-97
Answer:
[tex]x=2; y=1[/tex]
Step-by-step explanation:
Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.
[tex]I+II: 2x+2y=6\\I-II:200x-200y=200[/tex]
Better, now let's simplify the expression and let's use the new system
[tex]x+y=3\\x-y=1[/tex]
Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get [tex]x=2, y=1[/tex] which, if you check by replacing in the original, is indeed a valid solution.
tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?
Answer:
.72p
Step-by-step explanation:
1p equals the original price
100 percent of p
we are reducing it by 28 percent, which means only 72 percent of p will remain
72 percent or .72
.72p
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
120 in sq. , 260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.
The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
choices:
a.
$5.98
b.
$6.00
c.
$5.67
d.
$6.30
Answer:
Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
1 answer
·
1 vote:
$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)
Missing: choices: $5.98 $6.00 c. $5.67 d. $6.30
Step-by-step explanation:
The lowest price you can charge is $6.30
How to determine the cost?We have:
Skillet brownie = $1.89Percentage of food cost = 30% or lowerThe lowest price you can charge is calculated as:
Lowest = Skillet brownie/Percentage
This gives
Lowest = $1.89/30%
Evaluate
Lowest = $6.30
Hence, the lowest price you can charge is $6.30
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PLEASE HELP ME
( I WILL MARK BRAINLIEST )
Can you help me out?
1) Unanswered (Sorry)
2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]
3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]
Find the mean of the data.
55,64,58,43,49,67
Answer:
56
Step-by-step explanation:
Step 1: Order the data
43,49,55,58,64,67
Step 2: Count all numbers and add them up
43+49+55+58+64+67=336 and we have 6 numbers in total so... 336 ÷ 6
Step 3: Divide!
336 ÷ 6 = 56
Hope this helps you!
A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?
Answer:
65 bought 3 or more items.
Step-by-step explanation:
See attached summary. The total purchasing customers was 779 (0.82*950). Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186). Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items. 65 bought three or more items.
Leon and Omar went to grab ice cream after track practice. They each chose a container shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing.
The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
Let us assume the cone and cylinder has a radius of 7 cm and height of 10 cm, hence:
Volume of the cone = (1/3) * π * radius² * height = (1/3) * π * 7² * 10 = 513.33 cm³
Volume of the cylinder = π * radius² * height = π * 7² * 10 = 1540 cm³
The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.
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What does 5/x = 7/x+2 equal?
Solve by cross multiplying.
(5 over x and 7 over x+2)
Answer:
I have no idea ask 567 9922 mathe teacher
Hey there!
[tex] \rm{\frac{5}{x} = \frac{7}{x + 2} }[/tex]
Solve:--
[tex] \sf\rightarrow \: (7)(x) = (5)(x + 2)[/tex]
[tex] \sf\rightarrow \: 7x = 5(x + 2)[/tex]
[tex] \sf\rightarrow \: 7x = 5x + 10[/tex]
[tex] \sf\rightarrow \: 7x - 5x= 5x + 10 - 5x[/tex]
[tex] \sf\rightarrow \: 2x= 10 [/tex]
[tex] \sf\rightarrow \: \frac{ 2x}{2}= \frac{10 }{2}[/tex]
[tex] \sf\rightarrow \: x= 5[/tex]
~Done~
Find the output, y, when the input, z, is 6.
8+
6+
4+
A
H
.
4
-2
2
4
6
6
8
-2-
-4+
-6-1
87
Report a problem
Answer:
when the x input is 6 the y output is 7
find x correct to 2 decimal places
Answer:
Step-by-step explanation:
The value of x in the triangle is 205.24 calculated by using tan function.
By using tan function we find the value of x.
Let us divide x to two parts which includes two right triangles.
We know than tan function is a ratio of opposite side and adjacent side.
tan 55 = 106/adj
adj= 106/1.428
adj=74.22
Now let us find the adjacent side length of larger triangle similarly.
tan 39 = 106/ adj
0.809 = 106/adj
adj=106/0.809
adj=131.025
So the value of x is 74.22+131.025
=205.245
Hence, the value of x in the triangle is 205.24.
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Help help help ASAP sap
Answer:
132
Step-by-step explanation:
since they are 180 degrees subtract
Answer:
132
Step-by-step explanation:
since this is a 180 degree angle ABC will be
180-48
132
Every 24 hours, the earth rotates 360° about its axis. How
long does it take to rotate 150°?
A. 8 h
B. 10 h
C. 18 h
D. 20h
360 degrees / 24 hours = 15 degrees per hour
150 degrees / 15 degrees per hour = 10 hours
Answer: 10 hours
2. On the first day of a month, Leann's savings account had $176. During the
month, Leann deposited $198 and spent $160 of her money. What was
Leann's account balance at the end of the month?
⚫️-138 dollars
⚫️534 dollars
⚫️214 dollars
⚫️-182 dollars
The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green? Result Frequency Blue 7 Red 9 Green 6 Yellow 8
Answer: 10
Step-by-step explanation:
hope this helps
I need help with this question really badly please help.
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110
y = 23
Step-by-step explanation:
For X :
100 = x -10
110 = x
Corresponding angles are equal
For Y :
180 - 110 = 70
(2y + 24) = 70
2y = 46
y = 23
Adjacent Angles on a straight line add up to 180 Degrees
Find the volume of the composite shape. And round to the nearest tenth.
Answer:
2010
Step-by-step explanation:
volume of a cube= hxlxw
5x5x5=125
V=πr2h
π10^2x6=1884.9=1885
1885+125=2010
Roberto’s science grade is calculated using a weighted average quizzes are worth 25% homework is worth 10% unit tests are worth 30% and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit test, and 94% on his labs. What is Roberto’s final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
the answer should be 93.9% let know if in wrong
Roberto's science grade as per weighted average is equals to 93.9%.
What is average?
" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."
Formula used
Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n
W= weighted average
n = number of terms to be averaged
w = weight applied to x values
x = data values to be averaged
According to the question,
Given,
Weight applied to quiz 'w₁' = 25%
Weight applied to homework 'w₂' = 10%
Weight applied to to unit tests 'w₃'= 30%
Weight applied to labs 'w₄' = 35%
Average on quiz Roberto earned 'x₁'= 94%
Average on homework Roberto earned 'x₂'= 94%
Average on unit test Roberto earned 'x₃'= 94%
Average on labs Roberto earned 'x₄' = 94%
Substitute the values in the formula we get,
Weighted average
= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)
= (2350 +990 + 2760 + 3290) / 100
= 9390 / 100
=93.9%
Hence, Roberto's science grade as per weighted average is equals to 93.9%.
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How to illistrate 1/3×1/2
Answer:
=1/6
Step-by-step explanation:
thats the answer
follow
heart
brainlest
pleassseee
Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 18.
Answer:
1/3
Step-by-step explanation:
Factors of 18 are 1,2,3,6,9
Find the volume of a box that has a length of 8.9 cm, a
width of 4 cm, and a height of 10.6 cm.
Answer: 377.36cm^2
Step-by-step explanation:
1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height
2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2
hoped this helped! ♡
If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and
the sum of the measures of the angles is
93°, find the measure of each angle.
Answers:
Angle T = 79 degrees
Angle V = 14 degrees
=========================================================
Work Shown:
T + V = 93
(2x+85) + (5x+29) = 93
7x+114 = 93
7x = 93-114
7x = -21
x = -21/7
x = -3
This x value is used to find each angle mentioned.
Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degreesAngle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degreesAs a check, T+V = 79+14 = 93 which confirms our answers.
Answer:
An alternate interior angle, c, 180 degrees
Step-by-step explanation:
did it
Determine where the given function is concave up and where it is concave down.
q(x) = 8x3 + 2x + 8
Answer:
concave up
Step-by-step explanation:
there is no negatives in the equation (in front of x-value)
show all working convert the following improper fractions to mixed numbers in it's lowest terms. 96/7?
Answer:
13 5/7
Step-by-step explanation:
7 can fit into 96 13 times, So 96-(7x13) is 5. 5/7 is remaining.
Farah has been saving money for years. Pearl's money is 3 times as much as
3
5
of Farah's money. They have $672 altogether. How much does Farah have now?
Answer:
$168
Step-by-step explanation:
x + 3x = 672
4x = 672
x = 672 / 4
x = 168
Farah has $168