For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)
Answer:
x=3/4
Step-by-step explanation:
Given:
f(x) = x-1
g(x) = 2x²+3
Evaluate composite functions:
f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2
g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5
Set expressions equal to each other and solve for x:
2x²+2 = 2x²-4x+5
2 = -4x+5
-3 = -4x
3/4 = x
x = 3/4
Therefore, the value of x=3/4 satisfies both composite functions
Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9
The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.
Step-by-step explanation:
Therefore the third side should be less than 12+15 = 27cm
And also the third side cannot be less than the difference of the two sides
Therefore, the third has to be more than 15-12 = 3cm
Thus, the third side could be the length more than 3cm and less than 27cm.
Malcom is filling bags with rice. He starts with 5 1/4 lbs. container of rice and fills each bag with 5/8 pound of rice. How many bags can Malcom fill?
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours
In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
area of the shaded region.
Answer:
942 6/7 cm²
Step-by-step explanation:
Since O = Center of bigger circle, OA = Radius of bigger circle.
∴ Area of smaller circle - Area of bigger circle = Area of shaded part.
∴ Area of smaller circle = 22/7 × 10²
= 22/7 × 100
= 2200/7
= 314 2/7 cm²
∴ Area of bigger circle = 22/7 × 20 ²
= 22/7 × 400
= 1257 1/7 cm²
∴ Area of shaded part = 1257 1/7 - 314 2/7
= 942 6/7 cm²
Find the mean for the following set of data. Write the NUMBER ONLY for the answer.
25, 27, 30, 15, 18, 24, 15
Answer:
22
Step-by-step explanation:
25+27+30+15+18+24+15 all divided by 7
Which graph represents the solution set of this inequality?
4+11<-21
hep please
Answer:
It's C :D
Step-by-step explanation:
A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False
Answer:
TRUE!
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
If you have 2 Liters, then you would DOUBLE the milliliters (2000)
What’s the volume of one cylinder?
Answer:
For the first one its: Volume = 402.12in³
For the second one its: Volume = 201.0619 in³
Step-by-step explanation:
For the first one work:
Volume = 3.1416 x 42 x 8
= 3.1416 x 16 x 8
For the second one work:
Volume = 3.1416 x 42 x 4
= 3.1416 x 16 x 4
Answer:
the formula is : V=πr2h
the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)
Step-by-step explanation:
Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.
Please help me I will give 30 points
Answer:
a, c, & d
Step-by-step explanation:
-6,1 , 0,5 , 1,7 hope this help
Can someone please help me!
Answer:
A)
Step-by-step explanation:
it is clearly reduced so you can eliminate the middle two options as answers;
reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction
What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?
Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.
Answer:
both camlps
Step-by-step explanation:
Answer:
B.) Prisoners attacked and killed SS men and guards.
Step-by-step explanation:
edge
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
Determine the period.
Answer:
the period is the to top points of the highest points on top of the crests
The period of function is,
P = 5
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 10/2
P = 5
Because there is two wave are shown.
Therefore, The period of function is,
P = 5
Learn more about the function visit:
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The number of miles a car travels varies directly with the number of gallons of gas in its tank of a car with 20 gallons of gas can drive 560 miles which equation represents the number of miles an
Answer:
28 miles per gallon
560/20=28
Step-by-step explanation:
Plz give me brainliest
Number of miles a car travels are 28.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Number of gallons of gas = 20
A car with 20 gallons of gas can drive 560 miles
Based on the given conditions,
= [tex]\frac{560}{20}[/tex]
= 28
Hence, number of miles are 28.
Find out more information about division here
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IM BEING TIMES HELPPPPPPPP THANK YOUUUUUUU
Answer:
1. make both equal, so...
-14/24 + 9/24
=-5/24
Step-by-step explanation:
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
As Soon As Possible! (please)
Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?
A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains
A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.
Answer:
y(t) = 720e^0.3466t
y = 2036.6288
Step-by-step explanation:
The exponential relation :
y = Ae^kt
A = initial value ; y = final value ; r ; k = exponential rate, t = time
At t = 0
y = 720e^0 ; y = 720
At t = 2 ; y = 720e^2k
1440 = 720e^2k
1440/720 = e^2k
2 = e^2k
Take the In of both sides
0.6931471 = 2k
k = 0.6931471 / 2
k = 0.3466
Hence, equation becomes :
y = 720e^0.3466t
After 3 hours ;
t = 3
y = 720e^0.3466*3
y = 720e^1.0398
y = 720 * 2.8286512
y = 2036.6288
A survey went out asking consumers about their shopping habits. The results showed that
165 people were more likely to go to a store if they had a coupon. This represents 66% of
the total number of people who took the survey
How many people took the survey?
F: 25
G: 109
H: 199
J: 250
Answer:
G
Step-by-step explanation:
In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.
[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
d+a=h
Answer:
do you have an attatchment or guide i can use to answer this?
Step-by-step explanation:
Transposing a,
[tex]d + a = h \\ a = h - d[/tex]
Describe two ways to write 7/3 as a mixed number
Answer:
2 1/3 and 1 1/6
Step-by-step explanation:
a triangle has vertices r(1,2), s(3,3) and t(-3,4)
Give The Rest of the question
Answer:
Reflection about x axis
r(1,2)-----------r'(1,-2)
, s(3,3) ..........s'(3,-3)
and t(-3,4).....t'(-3,-4)
What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2
PLS HELP ILL GIVE BRAINLIEST
What are the coordinates of the center of the ellipse?
Answer:
Step-by-step explanation:
Standard equation of an ellipse,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
(h, k) is the center of the ellipse
Value of a = Distance of the center from the vertex
b = Distance of the center from the covertex
From the picture attached,
a = Distance of the center (h, k) from the vertex (2, -2) = 3 units
b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit
Center of the ellipse (h, k) = (-1, -2)
show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0
Answer:
[tex] 2.373737....=\frac{235}{99}[/tex]
Step-by-step explanation:
[tex] 2.373737....=2.\overline{37}[/tex]
[tex] Let\: x=2.\overline{37}...(1)[/tex]
[tex] \therefore 100x=237.\overline{37}...(2)[/tex]
Subtracting equation (1) from equation (2), we find:
[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]
[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]
[tex] \therefore 99x=235[/tex]
[tex] \therefore x=\frac{235}{99}[/tex]
[tex] \implies 2.373737....=\frac{235}{99}[/tex]
Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!
Answer:
60[tex]\pi[/tex] m³
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
If the diameter is 12 m, the radius will be 6 m.
Plug in the height and radius into the formula, and solve:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]
V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]
V = 60[tex]\pi[/tex]
So, the volume of the cone is 60[tex]\pi[/tex] m³
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]