If f(x) = x^2 + 1 find f (a+1)

If F(x) = X^2 + 1 Find F (a+1)

Answers

Answer 1

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction NotationExpand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(a + 1) = (a + 1)² + 1Expand [FOIL]:                                                                                                  f(a + 1) = a² + 2a + 1 + 1Combine like terms:                                                                                         f(a + 1) = a² + 2a + 2
Answer 2

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]


Related Questions

plz halp im a pabo and cant solve it ​

Answers

Answer:

the surface area of cylinder is 75.36 inches²

hope it helps

have a nice day

Answer:

SA = 75.36

Step-by-step explanation:

So, you use the formula and replace the letters with the values.

SA = 2*3.14*2^2+2*3.14*2*4

SA = 25.12+ 50.24

SA = 75.36

Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.​

Answers

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

Answer:

x = 5

Step-by-step explanation:

Each new term is 1 greater than the previous term.  Therefore:

x + 9 = (3x - 2) + 1                   Equivalent to x + 9 = 3x - 2 + 1, or:

                                                                       9 + 2 - 1 = 2x, or 2x = 10

                                                Thus, x = 5

Check by substituting 5 for x as indicated:

3x - 2 becomes 13 (which means the next term must be 14)

x + 9 becomes 14, and

2x + 5 becomes 15

and these consecutive sequence terms are {13, 14, 15}

write a linear equation in one variable for each of the following situations:

Answers

Answer:

i. y = 4

ii. p = 45

iii. m = 5

Step-by-step explanation:

(a) In triangle PQR, PQ = QR. So that,

Perimeter = PQ + PR + QR

40 = (2y + 3) + (5y - 2) + (2y + 3)

    = 2y + 3 + 5y - 2 + 2y + 3

40 = 9y + 4

40 - 4 = 9y

36 = 9y

y = [tex]\frac{36}{9}[/tex]

y = 4

(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;

p = 16 + 29

p = 45

Rahim's father is 45 years old.

(c) Cost of a chair = RM 5.90

Cost of m chairs = RM 5.90 x m

                           = RM 5.90m

Amount paid = RM 50 - RM 20.50

                      = RM 29.50

Thus,

RM 5.90m = RM 29.50

5.90m = 29.50

m = [tex]\frac{29.50}{5.90}[/tex]

   = 5

m = 5

The number of units of chairs bought is 5.

Complete the frequency distribution table below.

Answers

Answer:

.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww

A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep.The volume of liquid it will hold is​

Answers

Answer:

36000cm

V= Length×Width×height

Answer:

[tex]36000 cm^{3} [/tex]

Step-by-step explanation:

Volume = Length * width * Height

Rectangular Tank is,

[tex]100cm = long[/tex]

[tex]30cm = wide[/tex]

[tex]12cm = height[/tex]

Let's Solve now

[tex]v = l \times w \times h \\ \: = 100cm \times 30cm \times 12cm \\ = 36000 {cm}^{3} [/tex]

What is the product?

Answers

Answer:

The first one

Step-by-step explanation:

The product[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex] is equal to[tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex]. Option A is correct.

We have to find the product of[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex].

To do this we need to multiply -4 with each element in the matrix.

-4×8 = -32

-4×-1 =4

-4×-5=20

-4×9=-36

Now the matrix becomes [tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex].

Hence, the product[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex] is equal to[tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex]. Option A is correct.

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Plz solve this question
Show the steps you need to take to solve it.

Answers

Answer:

V = 378y³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Geometry

Volume of a Rectangular Prism: V = lwh

l is lengthw is widthh is height

Step-by-step explanation:

Step 1: Define

Identify variables

l = 9y

w = 7y

h = 6y

Step 2: Find Volume

Substitute in variables [Volume of a Rectangular Prism]:                              V = (9y)(7y)(6y)Multiply:                                                                                                             V = (63y²)(6y)Multiply:                                                                                                             V = 378y³

___________________________________

Problem:

What is the volume of this rectangular prism?

Formula for volume (v):

[tex]\quad\quad\quad\quad \boxed{\tt{v = lwh}}[/tex]

Given that:

[tex]\quad\quad\quad\quad\tt{length (l)= 9y}[/tex]

[tex]\quad\quad\quad\quad\tt{width(w)= 7y}[/tex]

[tex]\quad\quad\quad\quad\tt{height(h)= 6y}[/tex]

Solution:

[tex]\quad\quad\quad\quad\tt{v = lwh}[/tex]

[tex]\quad\quad\quad\quad\tt{v = (9y)(7y)(6y)}[/tex]

[tex]\quad\quad\quad\quad\tt{v = (9y)(42 {y}^{2}) }[/tex]

[tex]\quad\quad\quad\quad \underline{\tt{v = 378 {y}^{3} }}[/tex]

Hence, the final answer is:

[tex]\quad\quad\quad\quad \underline { \boxed{\tt{ \color{magenta}v = 378 {y}^{3} }}}[/tex]

___________________________________

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✍︎ C.Rose❀

Solve the system of equations.
2x + 2y + 3z = 3
6x + 3y + 37 = 3
2x + 5y + z = 6

Answers

Answer:

1. x=3/2-y-3z/2

2.x=-y/2-17/3

3.x=3-5y/2-z/2

Step-by-step explanation:

i gusse

please help me! i need this to pass!

Answers

Answer:

option E, C

Step-by-step explanation:

From the graph we will find the equation of g(x).

g(x) is a parabola with vertex ( h, k) = ( 0, 9)

Standard equation of parabola is ,  y = a (x - h)² + k

                                                     y = a (x - 0)² + 9

                                                     y = ax² + 9 ----------  ( 1 )

Now we have to find a .

To find a we will take another point through which the parabola passes .

Let it be ( 3, 0).

Substitute ( 3 , 0 ) in  ( 1 ) =>  0 = a (3 )² + 9

                                     => - 9 = 9a

                                     => a = - 1

Substitute a = - 1 in ( 1 ) => y = -1 x² + 9

                                  => y = - x² + 9

Therefore , g(x) = -x² + 9

Now using the table we will find h(x)

 [tex]h(x) = 4^{x}[/tex]

So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]

Option A : both function increases on ( 0, ∞ ) - False

               [tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]

                                  [tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]

g(x) decreases on ( 0 , ∞)

             [tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]

                                [tex]= \infty[/tex]

h(x) increases on ( 0, ∞)

option B : g(x) increasing on (- ∞, 0) - False

      g(x) = -x² + 9

       g( -2 ) = - (-2)² + 9

                 = - 4 + 9 = 5

       g ( -5) = - ( -5)² + 9

                =  - 25 + 9 = - 14

   As the value of x moves towards - ∞ , g(x) moves towards - ∞

   Therefore g(x) decreases on  (- ∞, 0)

Option C: y intercept of g(x) is greater than h(x) - True

         y intercept of g(x) = ( 0 , 9 )

         y intercept of h(x)  = ( 0 , 1 )

Option D : h(x) is a linear function - False

Option E : g(2) < h(2) - True

        g(x) =  -x² + 9

        g(2) = -(2)² + 9 = - 4 + 9 = 5

        h(x) = 4ˣ          

        h(2) = 4² = 16      

                           

geomeTry, writing equations of parallel lines from graphs

Answers

Answer: draw them out dude

Explanation: TrY geometry

Suppose you are in fort Simpson, northwest territories. Find the GST on each item. a) a digital camera that costs $89.97 b) a cordless phone that costs $24.97 c) a soccer ball that costs $17.99

Answers

Answer:

Step-by-step explanation:

j

The discount on a toy is 40% the toy robot is on sale for $54 find the original price

Answers

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

[tex]\frac{54}{y} :\frac{60}{100}[/tex]

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

Answer:

90

Step-by-step explanation:

If the discount is 40%, we are still paying 100-40% or 60 %

original price * 60% = sale price

original price * .6 = 54

Divide each side by .6

original price = 54/.6

original price =90

Peter's favorite lunch is a turkey sandwich with carrot sticks. Last week, he bought 1.68 pounds of turkey and split it evenly among 7 sandwiches. How much turkey did Peter use for each sandwich?

Answers

11.7. answer: i just did it

Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!

Answers

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

The standard unit of mass is the : A.gram B.kilogram C.pound D.cubic centimeter

Answers

Answer:

kilogram

Step-by-step explanation:

   

Dilate the triangle with vertices A (1,2)
B(2,4) C(-1,-2) with a scale factor of 2.
What would be the new ordered pair for
B'?

Answers

Answer:

lol i genuinely dunno

Step-by-step explanation:

like B'(4,8) or something

which of the following is the distance between the points (3 -3) and (9 5)

Answers

Answer:

10

Step-by-step explanation:

[tex]\sqrt{36 + 64}[/tex]

[tex]\sqrt{100}[/tex]

10

find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2​

Answers

u mean 4x-4^2=3^2 ? if u mean that the ans would be 6,25

find the surface area of this figure.​

Answers

Answer:

148 ft2

Step-by-step explanation:

2×(6×4 + 6×5 + 4×5) = 148 ft2

Wouldn’t it be 120?

anyone solve this pls :)

Answers

the answer is x= 15/4 or 3.75

your ans is here........

find the sum of the arithmetic progression (AP) 1,3,5,...,101.

Answers

Answer:

दवणडतडडथवणतणलतवलडथलडद

Answer:

2,601

Step-by-step explanation:

the sum of AP = 51/2 × (1+101)

= 51/2 × 101 = 2,601

A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?

Answers

Given:

A cube has square sides with area [tex]x^2+24x+144[/tex].

To find:

The expression that represents the surface area of the cube.

Solution:

It is given that,

The area of each side of cube = [tex]x^2+24x+144[/tex]

Number of sides of a cube = 6

Total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is

[tex]SA=6(x^2+24x+144)[/tex]

[tex]SA=6(x^2)+6(24x)+6(144)[/tex]

[tex]SA=6x^2+144x+864[/tex]

Therefore, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].

The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a
vehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?

Answers

Answer:

x = 60

Step-by-step explanation:

t = [tex]\frac{k}{x}[/tex]

15 = k/68

k=1020

~~~~~~~~~~~

17 = 1020/x

x = 1020/17

x = 60

The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

What is speed?

The rate of change of position of an object in any direction is called speed.

How do you calculate speed when distance and time is given?

[tex]speed = \frac{distance}{time}[/tex]

According to the given question

At a speed of 68 miles per hour, the trip will be complete in 15 hours.

⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles  

( because, distance = speed × time)

Therefore, the speed of car to complete the trip in 17 hours

= [tex]\frac{1020}{17} =60miles/hr[/tex]

Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

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Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru

Answers

Answer:

Solution

Height is not an example of a continuous variable.

D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.

Here, we have,

Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.

A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.

B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.

C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.

D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.

Therefore, option D is not an example of continuous data.

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what is the percent of decrease from 300 to 50?
URGENT!!!!!!!!!

Answers

The percentage reduction can be written as 16.6667% of 300. 83.3333 percent decrease (%↓) or reduction from 300 is 50.

Answer:

83.33%

Step-by-step explanation:

300-50=250

250/300=83.33%

Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9

Answers

9 3/10, 9.5, 9.9

9 3/10 is equal to 9.3

2 1/4 X 1 2/3 x 1/6
calculate and write as a mixed number
will mark brainliest​

Answers

Step-by-step explanation:

everything can be found in the picture

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) (x - 3,y + 4) to move points on the screen.

Answers

Answer:

The output of (-6,0) is (-9,4)

Step-by-step explanation:

Given

[tex](x,y) \to (x -3,y+4)[/tex] --- rule

Required

The output of [tex](-6,0)[/tex]

[tex](-6,0)[/tex] implies that:

[tex](x,y) = (-6,0)[/tex]

So, we have:

[tex](x,y) \to (x -3,y+4)[/tex]

[tex](-6,0) \to (-6 -3,0+4)[/tex]

[tex](-6,0) \to (-9,4)[/tex]

The output of (-6,0) is (-9,4)

assume that supply function is p=c+dQ.When the price per unit of a product is Rs.60,the quantity supplied is 400 but when the price per unit increases to Rs.80,the quantity supplied increases to 600.Find the values of c and d.Also, find the relation between P and Q​

Answers

is it like this pls don't mind how I snap it

helpppppppppoppppppppp

Answers

A)

Replace the letters in the given equation with the corresponding values given in the problem:

A = 10,000 x 2.718^(0.05 x 2)

A = 11,051.59 , rounded to nearest dollar = $11,052

B)20,000 = 10000 x 2.718^(0.05 x t)

Divide both sides by 10,000:

2 = 2.718^(0.05 x t)

Apply exponent rules:

0.05tln(2.718) = 2

Solve for t:

t = ln(2) / 0.05ln(2.718)

t = 13.86 years, rounded to nearest year = 14 years.

Answer:

Step-by-step explanation:

Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:

[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to

[tex]A=10,000e^{.1[/tex] which simplifies a bit more to

A = 10,000(1.10517) so

A = 11,051.71  Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:

[tex]20,000=10,000e^{.05t[/tex]  Begin by dividing both sides by 10,000 to get

[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:

ln(2) = .05t and

t = 14 years (that's 13.8 rounded up to the nearest year)

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