if f(x+1)=3x+4,find f(x) and f(3).​

Answers

Answer 1

f(x+1)=3x+4

Let y be x+1 So x=y-1

[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]

[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto 3(3)+1[/tex]

[tex]\\ \sf\longmapsto 9+1[/tex]

[tex]\\ \sf\longmapsto 10[/tex]


Related Questions

f(x)=-5x-4 and g(x)= -3x-2, find (f-g)(x)

Answers

Answer:

Step-by-step explanation:

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

-5x-4+3x+2

-2x-2

-2(x+1)

Please help!!! 25 points!!
-72 + (-30) + 10 =

Answers

-72-30+10.

-72-30=-102

10-102 is also the same as

-102+10

The final answer is -92

Answer:

-92

Step-by-step explanation:

-72 + (-30) + 10 =

-72+ -30

Since they both have the same sign, add and then take the sign

72+30 = 102  and then take the negative sign

-102

-102+10

They have opposite signs, so we subtract and take the sign of the larger

102 -10 = 92

And 102 was negative so take the negative sign

-92

21. Andre grew a plant for a science experiment. At the end of his
experiment, the plant was 100.8 centimeters tall. Andre calculated
that the plant grew an average of 3.6 centimeters per day since
the start of his experiment. How many days did Andre's
experiment last?

Answers

Answer:

he answer is 140 minutes to plant 14 saplings.

Step-by-step explanation:

30 divided by 3=10

so it takes 10 minutes to plant one sapling.

10x14=140 so this is how you get your answer. im 99% sure

Answer:

100.8÷3.6=28

he grew the plant for 28 days

A retailer allowed 12% discount and sold a T- shirt at a loss of Rs 16. if he had sold it at 10% discount he would have gained Rs 20.for what price did he purchased the T- shirt.

Answers

Answer:

rs. 100

Step-by-step explanation:


Water scarcity is increasing for all of the following reasons except
A. demand is increasing
B. the population of the globe is increasing
C. the amount of freshwater on Earth is decreasing
D. more land is being farmed
Please select the best answer from the choices provided
B
Ο Ο Ο Ο
С
D

Answers

Answer:

The Answer is C .............

Answer:

D

Step-by-step explanation:

You could see this both ways but I think this is the best answer because land is not saying the specifics for water

Hope this helps <3

Need more thanks? Comment /hearts

in the circle below, ...

Answers

Answer:

angle FEG = 66⁰

angle GFH = 90⁰

Help me you guys! it's important!​

Answers

Answer:

hey mate

surface area of cuboid is 2(lh+bh+hl)

doing for first cuboid

h = 20

l = 6

b = 5

surface area for this cuboid on calculating u get 500 sq.cm

now

second cuboid

h = 12

l = 6

b = 4

calculaye it by formula and u get 288 sq.cm

so total surface area is 500 + 288 = 788 but in this one side is getting counted 2 times which is rectangle with length 6 and 12 so it's area is 12×6 = 72

final ans = 788-72 = 716 cm2

as per me that's ans

brinliest pls

5^-4 over 5^3
simplify
A. 5^7
B. 5^-1
C. 1/5
D. 1/5^7​

Answers

Answer:

D is the correct answer.

(x-5)^2 - (x+1)^2+ (x+3)*(x-3)

Answers

Step-by-step explanation:

here's the answer to your question

what is the slope in the linear equation y = 2x=1?

Answers

Answer:

The slope of the line is 2

Step-by-step explanation:

y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2

Answer:

its 2

comment for more understanding

Good luck

the sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.

Answers

Answer:

r = 100

6.5r = 650

Step-by-step explanation:

let r be resistors.

6.5r + r = 750

Simplify:

6.5r + r = 750

7.5r = 750

------   ------

7.5     7.5

   r = 100

100 × 6.5 = 650

One resistor is 100 ohms, and he other is 650 ohms.

Hope this helped.

G I V E N :

The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.

S O L U T I O N :

According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size

Let us assume the other resistor's size be x

Here,

The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x

Given that : the sum of two resistors in 750 ohms

1st Resistor + 2nd Resistor = 750 ohms

6.5x + x = 750 ohms

7.5x = 750 ohms

x = 750/7.5 ohms

x = 100 ohms

FINDING SIZE :

First Resistor's Size = 6.5x = 6.5*100 = 650 ohms

Other Resistor's Size = x = 100 ohms

_________________________________

[Note : Symbol of ohm is Ω]

Hello, have anyone can help me to solve this question?

Answers

Answer:

24 days LCM

prime factor :

4- 2, 2

8-2,2,2

12- 2,2,3

largest factors- 2,2,2,3

2*2*2*3 = 24

Step-by-step explanation:

(2(2 •10^6)=
What does this equal

Answers

Answer:

54

Step-by-step explanation:

3.1 2 6 divided by 2 2 = 2 (6 - 2) = 2 4. Dividing exponents : 3.2 5 6 divided by 5 2 = 5 (6 - 2) = 5 4

A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound

Answers

Answer:

1,300 lb.

Step-by-step explanation:

V = 9 × 12 × 14.5 = 1566 ft³

1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.

GIVING BRAINLY TO CORRECT ANSWER!!

Answers

Answer:

7/0

Step-by-step explanation:

7/0 = 7

A rational number is written in the form of p/q, where q is not equal to zero. Therefore it is not a rational number.

I hope this answer helps you out! Brainliest would be appreciated :)

Answer:

7/0

Step-by-step explanation:

a irrational can not be written as a fraction

please help need nowww will give brainlest to right answer

-144π = -12πk

Answers

Answer:

k = 12

Step-by-step explanation:

isolate the variable; divide both sides that dont contain the variable

Answer:

K=12

Step-by-step explanation:

-144π = -12πk

divide by -12π on both sides to find k

-144π / -12π = k

12 = k

HELP ASAP!!!!! Which statement is not always true for a parallelogram?

Answers

Answer:

D

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary.

Thus statement D is not always true.

find the area of abc
6m 20m 60m

Answers

Answer:

The area of ABC is 60m sq.

Step-by-step explanation:

Area of triangle = 1/2×base×height

so, Area=1/2×20×6

Area= 60m sq.

Hi can someone help me with these 3 questions. Thanks :)

Answers

Answer:

a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2

b) 120°

c) sin = -1/2 = -30° or 330° both are same

Use the trig circle which i have included in the answer to better understand trig angles

hope that answers your question

I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.

good luck!!

Carrie rolls two 1-6 number cubes. How many outcomes are possible?​

Answers

Answer:

36

Step-by-step explanation:

The first dies has 6 possible outcomes

1,2,3,4,5,6

The second die has 6 possible outcomes

1,2,3,4,5,6

6*6 = 36

There are 36 outcomes

First Sample space

[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]

[tex]\\ \sf\longmapsto |S|=6[/tex]

Now There are two cubes mean n=2

[tex]\\ \sf\longmapsto |S|^n[/tex]

[tex]\\ \sf\longmapsto 6^2[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

f(x) = Square root of quantity x plus seven. ; g(x) = 8x - 11 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x plus one
f(g(x)) = 8 Square root of quantity x plus seven - 11
f(g(x)) = 8 Square root of quantity x plus four
f(g(x)) = 2 Square root of quantity two x minus one

Answers

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt(x+7)

g(x) = 8x-11

f(g(x))=

Place g(x) in for x in the function f(x)

f(g(x)) = sqrt( 8x-11 +7)

          = sqrt( 8x -4)

Factor out 4

          = sqrt( 4(2x-1)

          = 2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

g(x) will be put on the place of x

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

A= 12b1+b2h ; solve for b1

Answers

Answer:

b1 = 0, b2 = 0

EXPLICACION

A = 12 b1 + b2 h

A - 12 b1 - b2 h = 0

b2!=0, h = -(12 b1)/b2

a giraffe can run 32 miles per hour. what is this speed in feet per second?

Answers

Answer:

46.9 ft/sec

Step-by-step explanation:

A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.

Martha and Bob went running. They started down the path at 3:25 P.M. When they finished running it was 4:30 P.M. How long did the run take?

Answers

Answer:

1 hour and 5 minutes, or 65 minutes.

Step-by-step explanation:

Let's suppose 3:25 was 3:30 by rounding up 5 minutes, to make life easier. In one hour, it would be 4:30, which is when Martha and Bob finished running. So we know that between 3:25 and 4:30, they at least ran one hour. Now, since we rounded up 5 minutes, we have to add that too to make our final running time for them, 1 hour and 5 minutes. Hope this helped!

Please help! Will give brainliest to correct answer

Answers

We can solve it through proportionality or ratios

2 lamps required to create 4signals

Let lamps required to create 60signals be x

Now

[tex]\\ \sf\longmapsto 2:4=x:60[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{4}=\dfrac{x}{60}[/tex]

[tex]\\ \sf\longmapsto 4x=60(2)[/tex]

[tex]\\ \sf\longmapsto 4x=120[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{120}{4}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

HELP PLS PLS PLS PLS

now that I have your attention help me answer this question:

Team A built 8 sandcastles in 2 hours and Team B built 5 sandcastles in 1 hour. Which team worked at a faster rate?​

Answers

if you convert it all into one hour, Team B clearly worked at a faster pace.

Answer:

[tex]team \: a \: \\ 8in \: number \: with \: in \: 2 \: hours \\ so \: in \: 1 \: hour \: \frac{8}{2} = 4 \: in \: number \\ \\ team \: b \\ 5 \: in \: 1hour \\ so \: \: team \: b \: work \: in \: fast \\ thank \: you[/tex]

how many solutions in 3(6x-2) = 2(9x-3)

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Distribute the numbers

3(6x-2) = 18x - 6

2(9x-3) = 18x - 6

18x - 6 = 18 - 6

Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.

Two solid spheres have surface areas of 1441 cm? and 2567 cm² respectively. They are melted and recast to form a larger sphere. Find the surface area of the larger sphere in square centimetres.​

Answers

Surface area of small sphere = 1441cm^2

Surface area of bigger sphere = 2567cm^2

Surface area of largest sphere = 1441 + 2567

= 4008cm²

Must click thanks and mark brainliest

−30=5(x+1)

what is x?

Answers

[tex]\\ \rm\Rrightarrow -30=5(x+1)[/tex]

[tex]\\ \rm\Rrightarrow -30=5x+5[/tex]

[tex]\\ \rm\Rrightarrow 5x=-30-5[/tex]

[tex]\\ \rm\Rrightarrow 5x=-35[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-35}{-5}[/tex]

[tex]\\ \rm\Rrightarrow x=7[/tex]

Answer:

x = -7

Step-by-step explanation:

-30 = 5 (x -1 )

5 ( x + 1 ) =-30

5 (x + 1 ) = - 30

     5            5

x + 1 = -6

x + 1 -1 = -6 -1

x = - 7

What would the equation, slope, and y-intercept be for this?

Answers

Answer:

y=-4x+1

Step-by-step explanation:

Equation: y=mx+b where m = slope and b= y intercept

TO find the slope, find the change in y over the change in x , or just to rise over run

From (-1,5) to (0,1), the y changes by -4 and the x changes by 1.

So the slope will be -4

To find the y intercept, find the point at which the line crosses the y-axis.

In this case, it is at (0, 1), so your y intercept will be 1

Plug all this info back into the equation and you get y=-4x+1

The y-intercept is 1 and that’s it sorry I can’t answer the rest.

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