Answers
Answer:
8c
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
Step-by-step explanation:
f(x) = x^2 - x ; g(x) = x^2 + x
f(g(x)) = (x^2 + x)^2 - (x^2 + x)
f(g(x)) = (x^2 + x)^2 - x^2 - x
f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x
f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = (x^2 - x)^2 + x^2 - x
g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x
g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
Related Questions
The square in the middle has an area of 1 square unit. What is the area of the entire rectangle in square units?
Answers
Answer:
4 i believe that's the answer
It’s time so please ASAP
Which expression is equivalent to the following complex fraction
3
-4
X-1
2-
2
X-1
금
O
2(x-2)
-4x+7
-4x+7
O 2(x-2)
-4x+7
2(x2-2)
21x²-2)
-4x+7
Answers
Answer:
B
Step-by-step explanation:
The answer can be obtained by simplifying the whole fraction
Shane plants a 6-inch tomato plant in his garden. The plant grows by about 12% per week for several months. Which function definition represents the height of the tomato plant (in inches) as a function of the number of weeks, t since the tomato plant was planted?
Answers
Answer:
[tex]f(t)=6(1.12^t)[/tex]
Step-by-step explanation:
every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t
relationship between the two number
b 70.908
7.908
Which one is greater
Answers
Answer:
70.908 is greater than 7.908 .
I hope your day goes nice
Answer:
70.9 0 8 is Greaterboth are different because of different placement of point.
Solve each equation for the indicated variable. Solve for pi.
Answers
9514 1404 393
Answer:
π = 2A/r²
Step-by-step explanation:
Multiply by the inverse of the coefficient of π.
A = π(r²/2)
π = 2A/r²
Mindy cheers at 16 regular season football games each year. She cheers for a total of 58.35 minutes each game. If her teams make the playoffs, she will cheer at each game for 59.15 minutes. How many total minutes will mindy cheer if she cheers at all regular season games and two playoff games?
Answers
Answer:
1051.9 minutes
Step-by-step explanation:
16 games at 58.35 minutes =
16* 58.35 =933.6 minutes
2 playoffs at 59.15
2 * 59.15 = 118.3 minutes
Add them together
933.6+118.3 =1051.9 minutes
Answer:
the answer is 1051.9 minutes
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
If f(x) = 4x + 3 and g(x) = 22 – 3, then f(g(4)) = ???
Answers
f(19) = 79
So f(g(4)) = 79
Answer:
f(g(4))=79
Step-by-step explanation:
given:
f(x) = 4x + 3
g(x) = 22 – 3
g(x) = 19
the x in parentheses represents x's value. if it is just x then example f(x)=3x would be 3x. if f(x) was f(2)=3x, then x would be 2 and f(2)=3x would be 3*2=6
f(g(4))
first solve g(4)
g(x) = 19
g(4)=19 because there are no x
then substitute
f(g(4))
f(19)
f(19) = 4x + 3
all x become 19
f(19) = 4(19) + 3
=76+3
=79
hope this helps.
Complete the equation of this circle:
pleaseee helpp
Answers
Answer:
(x – 3)^2+ (y – 2)^2 = r^2
Step-by-step explanation:
The co-ordinates of the center=(3,2)
The formula for the equation of a circle is (x – h)^2+ (y – k)^2 = r^2,
(h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
Therefore, (x – h)^2+ (y – k)^2 = r^2
=(x – 3)^2+ (y – 2)^2 = r^2
You can find r^2the equation.
Question:
9 1/8 + 4 5/6=?
Answers
13 23/24
Step-by-step explanation:
Look up my answers and see for which question I answered a similar question like this with full step-by-step explanation.
••••••••••••••••••••••••••••••••••••••••••
All brainliest, 5 stars and thanks are
appreciated and would mean a lot to
me. If you can mark me as brainliest,
that would be great and I’ll answer
as many more questions for you
(If possible)
A computer is priced at $2,000. If the sales tax rate is 7.5%, find the total cost of the
computer?
Answers
9514 1404 393
Answer:
$2150
Step-by-step explanation:
The tax is 7.5% of the price, so is ...
$2000 × 0.075 = $150
The total cost is the price with tax added:
$2000 +150 = $2150
What is the solution for this equation?
by – 12) = 21
O {9, 33)
O {-9, 33}
O {-33, -9}
O {-33, 9}
Answers
Sol-1
[tex]\\ \sf\longmapsto |y-12|=21[/tex]
[tex]\\ \sf\longmapsto y+12=21[/tex]
[tex]\\ \sf\longmapsto y=21-12[/tex]
[tex]\\ \sf\longmapsto y=9[/tex]
Sol:-2
[tex]\\ \sf\longmapsto y-12=21[/tex]
[tex]\\ \sf\longmapsto y=21+12[/tex]
[tex]\\ \sf\longmapsto y=33[/tex]
Which of the following show the factored equivalent of
f(x) = (2x^2 +7x + 3)(x - 3) and its zeros?
Answers
Answer:
the answer is "D"
(2x+1)(x+3)(x-3) //// -3,-.5,3
Step-by-step explanation:
Factored Form: y= (2x+1)(x+3)(x-3)
Answer:
D
Step-by-step explanation:
[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex] is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]
That takes out the choices B and C.
The roots are -0.5, 3, and -3.
Therefore, the answer is D.
I hope this helps!
pls ❤ and mark brainliest pls!
Calculate the equivalent resistance Req of the network shown in Fig. 3.87 if R1 = 2R2 = 3R3 = 4R4 etc. and R11 = 3
Answers
The equivalent resistance of the network shown is: [tex]R_{eq}=16.463\Ohm[/tex]
So, first of all, we can start by determining what each of the resistances is equal to. In this case we can start by saying that [tex]R_{1}=11R_{11}[/tex] This means that:
[tex]R_{1}=11(3\Ohm)[/tex]
Therefore:
[tex]R_{1}=33\Ohm[/tex]
We can now use this value to find the value of the other resistances. The given condition for the resistances can be represented with the following formula:
[tex]R_{n}=\frac{R_{1}}{n}[/tex]
so:
[tex]R_{2}=\frac{R_{1}}{2}=\frac{33}{2}\Ohm[/tex]
[tex]R_{3}=\frac{R_{1}}{3}=\frac{33}{3}\Ohm=11 \Ohm[/tex]
[tex]R_{4}=\frac{R_{1}}{4}=\frac{33}{4}\Ohm[/tex]
[tex]R_{5}=\frac{R_{1}}{5}=\frac{33}{5}\Ohm[/tex]
[tex]R_{6}=\frac{R_{1}}{6}=\frac{33}{6}\Ohm=\frac{11}{2}\Ohm[/tex]
[tex]R_{7}=\frac{R_{1}}{7}=\frac{33}{7}\Ohm[/tex]
[tex]R_{8}=\frac{R_{1}}{8}=\frac{33}{8}\Ohm[/tex]
[tex]R_{9}=\frac{R_{1}}{9}=\frac{33}{9}\Ohm=\frac{11}{3}\Ohm[/tex]
[tex]R_{10}=\frac{R_{1}}{10}=\frac{33}{10}\Ohm[/tex]
[tex]R_{11}=3\Ohm[/tex]
So now that we know what each resistance is equal to, we can go ahead and analyze the circuit.
In this case we can see that [tex]R_{10}[/tex] and [tex]R_{11}[/tex] are parallel, so we can calculate their equivalent resistance.
[tex]R_{1011}=\frac{R_{10}R_{11}}{R_{10}+R_{11}}[/tex]
Which yields:
[tex]R_{1011}=\frac{(\frac{33}{10}\Ohm)(3\Ohm)}{\frac{33}{10}\Ohm+3\Ohm}[/tex]
[tex]R_{1011}=\frac{11}{7}\Ohm[/tex]
Now, [tex]R_{8}[/tex], [tex]R_{9}[/tex] and [tex]R_{1011}[/tex] are connected in series, so we can calculate their equivalent resistance like this:
[tex]R_{891011}=R_{8}+R_{9}+R_{1011}[/tex]
[tex]R_{891011}=\frac{33}{8}+\frac{11}{3}+\frac{11}{7}[/tex]
[tex]R_{891011}=\frac{1573}{168}\Ohm[/tex]
Now, we can see that [tex]R_{7}[/tex] and [tex]R_{891011}[/tex] are parallel, so we can calculate their equivalent resistance.
[tex]R_{7891011}=\frac{R_{7}R_{891011}}{R_{7}+R_{891011}}[/tex]
Which yields:
[tex]R_{7891011}=\frac{(\frac{33}{7}\Ohm)(\frac{1573}{168})}{\frac{33}{7}\Ohm+\frac{1573}{168}\Ohm}[/tex]
[tex]R_{7891011}=\frac{4719}{1505}\Ohm[/tex]
Now, [tex]R_{5}[/tex], [tex]R_{6}[/tex] and [tex]R_{7891011}[/tex] are connected in series, so we can calculate their equivalent resistance like this:
[tex]R_{567891011}=R_{5}+R_{6}+R_{7891011}[/tex]
[tex]R_{567891011}=\frac{33}{5}\Ohm+\frac{11}{2}\Ohm+\frac{4719}{1505}\Ohm[/tex]
[tex]R_{567891011}=15.236\Ohm[/tex]
Next, we can see that [tex]R_{4}[/tex] and [tex]R_{567891011}[/tex] are parallel, so we can calculate their equivalent resistance.
[tex]R_{4567891011}=\frac{R_{4}R_{567891011}}{R_{4}+R_{567891011}}[/tex]
Which yields:
[tex]R_{4567891011}=\frac{(\frac{33}{4}\Ohm)(15.236\Ohm)}{\frac{33}{4}\Ohm+15.236\Ohm}[/tex]
[tex]R_{4567891011}=5.352\Ohm[/tex]
Now, [tex]R_{2}[/tex], [tex]R_{3}[/tex] and [tex]R_{4567891011}[/tex] are connected in series, so we can calculate their equivalent resistance like this:
[tex]R_{234567891011}=R_{2}+R_{3}+R_{4567891011}[/tex]
[tex]R_{234567891011}=\frac{33}{2}\Ohm+11\Ohm+5.352\Ohm[/tex]
[tex]R_{234567891011}=32.852\Ohm[/tex]
Finally, we can see that [tex]R_{1}[/tex] and [tex]R_{234567891011}[/tex] are parallel, so we can calculate their equivalent resistance.
[tex]R_{eq}=\frac{R_{1}R_{234567891011}}{R_{1}+R_{234567891011}}[/tex]
Which yields:
[tex]R_{eq}=\frac{(33\Ohm)(32.852\Ohm)}{33\Ohm+32.852\Ohm}[/tex]
[tex]R_{eq}=16.463\Ohm[/tex]
See attached picture for images on how to reduce the circuit.
You can find further information in the following link.
https://brainly.com/question/21538325?referrer=searchResults
The sum of 7 and 3 times a number is 34.
What is the number?
Answers
Answer:
9
Step-by-step explanation:
Let the unknown number be x
Sum means add
7 + 3x = 34
Subtract 7 from each side
7+3x-7 = 34-7
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
What happens to the median of the data set
{2, 4, 5, 6, 8, 2, 5, 6} if the number 10 is added to the data set?
A. The median does not change.
B. The median increases by 2.
C. The median decreases by 0.25.
D. The median increases by 1.
Answers
Answer:
A. The median does not change.
Step-by-step explanation:
Original data set,
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8
Median is the middle number
2,2, 4, 5, 5, 6,6, 8
It is between the two 5's
(5+5)/2 = 10/2 = 5
New data set
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8,10
Median is the middle number
2,2, 4, 5, 5, 6,6, 8,10
The middle number is 5
Answer:
The answer is A
Step-by-step explanation:
88%
19. What is the solution X in this equation? 2(3x - 7) + 4(3x + 2) = 6(5x+9) + 3
Answers
[tex]\\ \sf\longmapsto 2(3x-7)+4(3x+2)=6(5x+9)+3[/tex]
[tex]\\ \sf\longmapsto 6x-14+12x+8=30x+54+3[/tex]
[tex]\\ \sf\longmapsto 6x+12x-14+8=30x+57[/tex]
[tex]\\ \sf\longmapsto 18x+6=30x+57[/tex]
[tex]\\ \sf\longmapsto 30x-18x=6-57[/tex]
[tex]\\ \sf\longmapsto 12x=51[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{51}{12}[/tex]
The acute angle of the right angle triangle are in the ratio of 4:5
Answers
Answer:
Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.
Step-by-step explanation:
hope it helps.
Answer:
40and50
Step-by-step explanation:
let the acute angles be 4x and 5x then,
4x+5x+90=180 [sum of all angles of a right angled triangle]
or,9x=180-90
or,x=90/9
x=10
4x=4×10=40
5x=5×10=50
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest
Answers
Step-by-step explanation:
9) let number=x
Four times a number=4x
Condition:
4x+5=32
10) square of number=x²
Condition:
x²-4=12
11)
Condition:
3(x+4)=20
Note:if you need to know any question please let me know.
Find the equation of the line that is parallel to f(x) and goes through point (-1,7).
Answers
Answer:
y=(3/7)*x+52/7
Step-by-step explanation:
The slope of the line will be (3/7). The equation of line will be y=(3/7)*x+52/7
can someone help me, please?
Answers
Answer:
0
2
-1
Step-by-step explanation:
from f(0) we find that
y = mx - 1
from f(-1) we find that the equation is
y = -3x - 1
1)
inverse f(x) :
x = -3y - 1
y = -(x + 1) / 3 x = -1
y = -(-1 + 1) / 3
y = 0
2)
y also equal to 0 since x = -1
3)
f^-1(2) = -(2+1) / 3
= -3/3
= -1
f(-1) = 2
8.) It takes Fred 9 minutes to type and spell check 13 pages of a manuscript. Find how long it takes him to type and spell check 60 pages. Round to the nearest whole number. answer: minutes
Answers
It will take Fred 42 minutes to type and spell check 60 pages.
Let the first scenario be A.Let the second scenario be B.Let the unknown time be X.Given the following data;
Time taken A = 9 minutesNumber of pages A = 13 pagesNumber of pages B = 60 pagesTime taken B = X minutesTo find how long it takes him to type and spell check 60 pages;
We would use direct proportion to express the work described and solve for the unknown variable (time).
[tex]9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages[/tex]
Cross-multiplying, we have;
[tex]9[/tex] × [tex]60[/tex] [tex]= 13[/tex] × [tex]X[/tex]
[tex]540 = 13X\\\\X = \frac{540}{13}[/tex]
X = 41.54 ≈ 42 minutes
Therefore, it will take Fred 42 minutes to type and spell check 60 pages.
Find more information: https://brainly.com/question/89674
How long will it take for a sum of 500$ attracting simple interest
Answers
Need the answer explained
Answers
Answer:
it's very simple maybe it's in ur book?
find the missing side round to the nearest tenth
Answers
Answer:
[tex]cos49 = \frac{26}{x} \\ x = 39.6305[/tex]
1 What is the product of 2r^2- 5 and 3r
Answers
Answer:
Step-by-step explanation:
3r(2r^2 - 5)
6r^(2 + 1) - 5*3r
6r^3 - 15r
The whole number 23 is an example of a ____ number.
prime or composite?
Answers
The answer is prime! I hope this helps you out!
Answer:
23 is a prime number. Reason: Prime number are those numbers which are divisible by 1 and itself. Example: 5 is divisible by 1 and 5 only.
¿Cuál es el volumen de un cubo de 10 cm de lado?
Answers
Answer: 1,000 cm^3
Step-by-step explanation:
10*10*10=1,000 cm^3
If a line has a slope of -2 and goes through the point (1,-3) then the equation for the line in slope-intercept form is what?
Answers
Answer:
y=-2x-1
Step-by-step explanation:
The slope is - 2. The equation is y=-2x-1
I need assistance urgent
Answers
A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37-m.
. Find the length of the shadow.
Answers
Answer:
[tex]\sqrt{280}[/tex] = 2[tex]\sqrt{70}[/tex]
37^2 = 1369
33^2 =1089
1369-1089 = 280
Step-by-step explanation:
