Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?

Answers

Answer 1

Answer:

an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3

Step-by-step explanation:

As given ,

f(x) = x³ , g(x) = 9 , h(x) = 2x

Now,

f(2x) = (2x)³ = 2³.x³ = 8x³

⇒f(2x) = 8x³

Now,

[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]

⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]

∴ we get

f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3


Related Questions

I need help!! i don't understand this

Answers

Answer:

33

Step-by-step explanation:

Johnny has a circular flower bed. Its radius is 4 feet. Johnny wants to build a fence around the flower bed. What is the total length of the fence?

Answers

Answer:

25.14 feet

Step-by-step explanation:

The length of the wire would be equal to the circumference of the circular flower bed

Formula for circumference of a circle: 2πr

= 2 x 22/7 x 4 = 25.14 feet

Answer:

25.12 ft.

Step-by-step explanation:

I took the quiz on nearpod.

0.064 juta
A 6400
B 64 000
C 640 000
D 6 400 000​

Answers

Step-by-step explanation:

1 juta = 1.000.000

0,064 juta = 64.000

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

(2, -12)

Step-by-step explanation:

Answer:

(2, -12)

Step-by-step explanation:

(x, y ) = (0, -8)

2 units right = +2 units to the x-coordinate

4 units down = -4 from the y-coordinate

(0+2, -8-4)

= (2, -12)


Please help due tonight

Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?

Answers

Using algebra
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3

HELP I NEED HELP ASAP

Answers

Answer:

i think its; there  all inequalities

Step-by-step explanation:

there are 21 colored balls sindhu took 4/7 rosey took 1/7 and ritesh took 2/7 who took the least numbers of balls​

Answers

Rosey took the least
Rosey
Answer in the photo

On a map of hiking trails, 0.5 inch represents 1 mile. A trail is shown as 1.25 inches long on the map. How long is the actual trạil?

Answers

Answer:

2.5 miles

Step-by-step explanation:

Answer:

The actual trail length is 2.5 miles.

Step-by-step explanation:

Let's solve this. 0.5 inches on the scale = 1 mile. Since the trailer is 1.25 inches long on the scale, let's first multiply 0.5 by 2. You would get 1 inch on the scale, which would be 2 miles.

2 miles = 1 inch on the scale. But it says 1.25, so since 0.5 inches is 1 mile, then 0.25 inches is 0.5 miles. Add 2 miles and 0.25 miles, and you will get 2.5 miles.

The trailer length is 2.5 miles.

Pls answer both parts clearly and fast thxs❤️

Answers

Answer:

part 1 is $27.72

part 2 is $33.88

Step-by-step explanation:

part 1

8% + 25%= 33%

                     -----

                       100

33x84 divided by 100= $27.72

part 2

11x56 divided by 100x5.50=33.88

hope this helps!

Right trianglessssssssss

Answers

E = (4, 4), F = (8, 7), C = (12, 10), B = (0, 1)

a)   run: 4   rise: 3   slope: 3/4

b)   run: 12  rise: 9   slope: 3/4

c)   they are equal because the two triangles are similar

9-x<-11
(**hint** x cannot be negative. IF x is negative, that is like having a coefficient of -1...how would you "cancel out" that coefficient? )
Solve

Answers

Answer:

Bueno, sí y no. Si está multiplicando dos términos como (x - 2) y (x - 2), usaría el método FOIL: primero, adentro, afuera, último. Vea el diagrama adjunto. Los dos signos negativos se cancelarían entre sí solo al multiplicar los últimos valores. Avísame si necesitas más explicaciones.

-cjhunter.26

Find the point where the two lines intersect (both problems, please. I don't understand it ;-; )

Answers

Answer:

point a to point b is only one lkine.

If you're looking for it's length then (11,-7), or 13.04

Step-by-step explanation:

plz help plz I am already failing I dont want to fail more

Answers

Answer:

B is the closet to pi hsiebfjwjgsbe9fbe

Can someone please help me

Answers

Answer:

95

Step-by-step explanation:

because 95 is on the other side I think it's called anterior angles or something

95 because they are both across from each other which make them equal to each other

Solve by Substitution:
3x-2y = 4
y = -2x + 5


YALL PLZ HELP ILL DO ANYTHING

Answers

Answer:x=2

Step-by-step explanation:

3x-2(-2x+5) = 4

3x + 4x - 10 = 4

7x-10 = 4

7x = 14

x = 2

y = -2(2) + 5

y = -4 + 5

y = 1

(x,y) = (2,1)

answer please. most accurate gets branliest.

Answers

Answer:

m∠U = 36°

m∠V = 75°

m∠T = 69°

Step-by-step explanation:

(2x+14)+(6x+9)+(6x+3)=180

Combine like terms: 14x+26=180

Solve this equation: x=11

Use x=11 to find angles

∠U = 36°

∠V = 75°

∠T = 69°

You can add up all of these measurements to check. =180°

Answer:

The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°

Step-by-step explanation:

The Triangle Sum Theorem states that the 3 angles of a triangle must add up to 180°.

We don't know the angles of the triangle, but we do know that the sum of all three unknown angles is 180°.

We set the three expressions together as equal to 180°.

6x + 3 + 6x + 9 + 2x + 14 = 180

Simplify

14x + 26 = 180

Subtract 26

14x = 154

x = 11

Now, we check our answer for x.

6(11) + 3 + 6(11) + 9 + 2(11) + 14 = 180

69 (measure of angle T) + 75 (measure of angle V) + 36 (measure of angle U) = 180

180 = 180 ✅

Note that once we found x, would substitute it in and get the needed measures. Since the needed measures add up to 180°, we know that our answer is correct.

The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°

A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet
above the ground after 1.5 seconds.
If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find
the height of the rock above the ground t seconds after it is thrown?
A. H(t) = -9/16(t-8)^2+676
B. H(t)= -9/16(t+8)^2+676
C. H(t)= -16(t-1.5)^2+676
D. H(t)= -16(t+1.5)^2+676

Answers

B hope it’s right I’m not sure

Help me pls! I’ll give u 15 points!

Answers

Answer:

add 15 by 19 by 12 to get 46 than cut it in half to get 23!

Hope i helped please mark brainiest I need it!

I need help please it's just this last question i don't know of and it's about quadratics and parabolas in algebra. It's basically a crossword but the question says " a graph can have one, two or none of these" and the first letter starts with a S. i have 80 points i will give out 50 i hope that's a lot i don't know much about points in this. Thank you.

Answers

Answer:

is there an actual graph though that would really help

Step-by-step explanation:

A circular flower bed is 24 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in the square meters.

Answers

The area of the sidewalk is 144.44 m².

The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.

Since the radius is half the diameter, r = 25/2 = 12.5.

The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².

The diameter of the bed is 21, so the radius is 21/2 = 10.5.
The area of just the flower bed is 3.14(10.5)² = 346.185.

The difference between the two is 490.625-346.185 = 144.44 m². This is the area of the walkway.

Answer: 163

Step-by-step explanation: just look in the comments

Help please!! I will report random answers

Answers

Answer:

15) m∠A = 21°, m∠B = 125°, m∠C = 34°

16) m∠J = 48°, m∠K = 57°, m∠L = 75°

Explanation:

15) m∠A is thirteen less than m∠C, so if you were to translate that into numerical terms, it would be (x-13). m∠B is eleven less than four times m∠C, so that would be (4x-11). Because the angles of a triangle sum up to 180°, the equation for this scenario would be (x-13)+(4x-11)+x=180. (X is a variable for m∠C. Add all the like terms to get 6x-24=180. Add 24 to both sides to get 6x=204. Divide 6 on both sides to get x=34. Now that we know m∠C, we can substitute 34 into x to get m∠A as 21° and m∠B as 125°.

16) m∠K is 9 more than m∠J, which is (x+9). m∠L is 21 less than twice m∠J, which is (2x-21). Again, a triangle's angles sum up to 180°, so the equation would be (x+9)+(2x-21)+x=180. Add the like terms to get 4x+(-12)=180. Add 12 to both sides to get 4x=192. Divide 4 on both sides to get x=48. Substitute 48 for x to get m∠K = 57° and m∠L=75°.

can u help me plss i’ll give u brainliest

Answers

Answer:

The answer is

Step-by-step explanation:

PLS HELP ILL GIVE BRAINLIEST!!

Answers

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

what is the solution to 2x+10=28​

Answers

Answer:

x=9

Step-by-step explanation:

2x + 10 =28 <---- subtract by 10

2x = 18          < divide by 2

x = 9

PLEASE HELP

The table shows values for functions f(x) and g(x)
What is the solution to f(x) = g(x) select each correct answer

Answers

Answer: -3 and 0

Step-by-step explanation: f(x) = g(x) where they intersect. Two lines intersect when they have the same x and y values.

Simplify:
4y - 1/2 (-3/4+2/3y)

Answers

4y + 3/4+ -2y/3 /2 should be it I think

Answer:

11/3y-3/8

Step-by-step explanation:

Distribute -1/2 through the parentheses

4y-3/8-1/3

calculate the difference

Answer- 11/3y-3/8

Which of these is the smallest and largest number?

Answers

Answer:

a) A -> 7.51

b) C -> 1.21

Step-by-step explanation:

First, you compare the units digits of the nos., then you compare the tenths place digits, then the hundreths place digits, and so on.

a) A -> 7.51

b) C -> 1.21

Hope it helps :)

Please mark my answer as the brainliest

Caleb purchased video games for $45 each. He bought $540 worth of video games. If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?

Answers

Answer:

y=45x-540

Step-by-step explanation:

solve this please 3(w+1.6)

Answers

Answer: 3w + 4.8

Step-by-step explanation:

3(w + 1.6)

=> 3w + 4.8

Answer:

3w + 4.8

Step-by-step explanation:

3 x w = 3w

3 x 1.6 = 4.8

2(3x+4) - 2x = 24
I need help rq on this problem I need to solve it

Answers

2(3x + 4) - 2x = 24

6x + 8 - 2x = 24


Combine like terms.


6x - 2x = 4x


4x + 8 = 24


Subtract 8 on both sides.


4x = 16

Divide by 4.


x = 4

Answer: x=4

Step-by-step explanation:

Given

2(3x+4)-2x=24

Expand parenthesis

6x+8-2x=24

Combine like terms

4x+8=24

Subtract 8 on both sides

4x+8-8=24-8

4x=16

Divide 4 on both sides

4x/4=16/4

x=4

Hope this helps!! :)

Please let me know if you have any questions

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