Hi, may someone help me with this question? Thank you!:)

“If f(x) = x^2 + 7, find f(x+2)”

Answers

Answer 1

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

         = (x+2)(x+2) +7

     FOIL

     = x^2 +2x+2x+4 +7

Combine like terms

    =x^2 +4x+11

Answer 2

Answer:

[tex]f(x+2)=x^2+4x+11[/tex]

Step-by-step explanation:

In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.

In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:

[tex]f(x+2)=(x+2)^2+7[/tex]

Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],

[tex]f(x+2)=x^2+4x+4+7[/tex]

Combine like terms:

[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]


Related Questions

Which is the pair of congruent right angles?
A).CAB=DAE
B).CBA=DEA
C).BCA=EDA
D).ACB=ADE

Answers

Answer:

It's C

Step-by-step explanation:

The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive? Miles

Answers

Answer:

ok so first they drove 55 for 3 hours so

55*3=165

and then they drove 45 for 2 hours

45*2=90

165+90=255

so in total they drove 255 miles

Hope This Helps!!!

The solution is : 255 miles total miles did the Ramos family drive.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.

we get,

Journey before lunch:

Speed = 55 mph

Time = 3 hrs

distance = 55*3 = 165 miles.

Journey after lunch:

Speed = 45 mph

Time = 2 hrs

distance = 45 * 2 = 90 miles

Total miles driven

= distance traveled before lunch + distance traveled after lunch

= 165 miles + 90 miles

= 255 miles

Therefore, the Ramos family drove 255 miles in total.

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Kristy bought a new tv the total cost of the tv was £360 including vat at 20% work out the cost of the tv before the vat was added

Answers

Answer:

£288

Step-by-step explanation:

Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).

Since the taxes are 20% of the TV's value, we can calculate 20% of 360.

20% of 360 = 72

360 - 72 = 288

Therefore, the cost of the TV before taxes was £288.

help me with this please​

Answers

the first line is parallel and the second is 3 times

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

X would be 63.9

Hope it helps

Step-by-step explanation:

The value of the variable 'x' using the cosine formula will be 63.9 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠QSR. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 35° = x / 78

x = 63.9

The value of the variable 'x' using the cosine formula will be 63.9 units.

More about the right-angle triangle link is given below.

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Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when solving the equation?

Answers

Answer:

D.  I or II only

Step-by-step explanation:

By a small online search, I've found that the equation is:

6x + 7 = 3x - 5

And the options are:

I. Combining the 6x and 3x terms

II. Combining the 7 and 5

III. Dividing both sides of the equation  by 6

A.  I only

B.  II only

C.  III only

D.  I or II only

E.   I or II or III

So, let's solve the equation in such a way that we can prevent the use of fractions:

6x + 7 = 3x - 5

We can use I and II, combining one in each side, so we get (so we use I and II at the same time)

6x - 3x = -5 - 7

solving these, we get:

(6 - 3)*x = -12

3*x = -12

and -12 is divisible by 3, so if we divide in both sides by 3, we get:

x = -12/3 = -4

x = -4

So we avoided working with fractions, and we used I and II.

Then the first step could be either I or II (the order does not matter)

Then the correct option is:

D.  I or II only

What is an
equation of the line that passes through the points (0,6) and (-3,2)?

Answers

Answer:

Step-by-step explanation:

y=mx+b is the general equation of a line, where

m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3

b= y intercept

for point (0,6)

y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6

the equation of the line that passes trough the given points is

y= (4/3) x +6

Answer:

y = 4/3 x + 6

Step-by-step explanation:

M = -4/-3 = 2/3

y = 4/3 X + B

6 = 4/3(0) + B

B=6

Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?

Answers

Answer:

5

Step-by-step explanation:

You divide the change in the output value by the change in the input value.

  Input: 0 |  4

Output: 1  |  21

20/4= 5

use r =27 & x =3

[tex]-\frac{r}{9}+ 5x[/tex]

Answers

Answer:

12

Step-by-step explanation:

First substitute the equation with the variable replacements given:

-r/9 + 5x <--- Before

-27/9 + 5(3) <--- After

Next Solve the parts of the Equation

-27/9 + 5(3)

-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.

= 12 <--- 15 - 3 = 12.

I hope this helps!

Answer:

12

Step-by-step explanation:

[tex]-\frac{27}{9}+5(3)[/tex]

- 3 + 15

15 - 3

12

Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121

Answers

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

Suppose f (x) = x². Find the graph of
f(x - 2).
Click on the correct answer
2
3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4

Answers

Answer:  Graph 2

Explanation:

The graph of f(x) = x^2 is a parabola with the vertex at the origin. If we replace every x with x-2, then we shift the xy axis 2 units to the left, giving the illusion the parabola shifts 2 units to the right.

In short, going from y = x^2 to y = (x-2)^2 means we shift the curve 2 units to the right. This is shown in the second graph.

The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?

Answers

Sohail=17

afzal=16

Bilal=12

Aslam=16+5=21

A and B are two similar solids...

Answers

Answer:

cant download send ss

Step-by-step explanation:

Nas funções f(x) = -3x+9; f(x) = 2x-4 e f(x) = 5x-5, caso construamos seus respectivos gráficos, informe respectivamente os pares ordenados correspondentes aos zeros da função, ou seja, os pares ordenados que indicam onde os gráficos interceptam a abscissa (eixo "X") e a ordenada (eixo y ou f(x)) de cada uma das três funções.Leitura Avançada

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

{(3,0) e (0,9)}; {(2,0) e (0,4)}; {(1,0) e (0,5)}

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,5)}

{(3,0) e (0,-9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

Answers

1st option

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

see screenshot

sorry btw, no hablo espanol

Identify the parts of the following algebraic expression.

-8z + 1
2
y - 7.7

Term:
Variable:
Coefficient:
Constant:

Answers

Answer:

-8z+1

term:2

variable:z

coefficient:-8

constant:1

2

term:1

variable:nil

coefficient:nil

constant:2

y-7.7

term:2

variable:y

coefficient:nil

constant:-7.7

The solution is given below.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

now, we get,

-8z+1

term:2

variable: z

coefficient:-8

constant:1

again,

2

term:1

variable : nil

coefficient : nil

constant:2

now,

y-7.7

term:2

variable : y

coefficient : nil

constant:-7.7

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Question: Dentify the parts of the following algebraic expression.

-8z + 1

2

y - 7.7

Term:

Variable:

Coefficient:

Constant:

Differentiate
[tex]y = 3x {}^{3} + 8x - 7[/tex]



Answers

Answer:

y=9x^2 + 8

Step-by-step explanation:

using the power rule, we will differentiate each term separately

d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2

d/dx of 8x = 8x^(1-1) = 8

d/dx of -7 = 0

combining them we get the derivative which is y = 9x^2 + 8

Answer:

9x² + 8

Step-by-step explanation:

The given function to us is ,

[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]

And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have

[tex]\implies y = 3x^3 + 8x - 7 [/tex]

Recall that , the derivative of constant is 0 . Therefore ,

[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]

Hence the derivative of given function is 9x² + 8 .

Janna is using a cone-shaped cup to fill a cylindrical container. The cup has the same height and radius as the container. How many rimes will she have to fill the cone-shaped cup to completely fill the cylindrical container.

Answers

Answer:

3 times

Step-by-step explanation:

Step 1: Express the volume of the cup in terms of "r" (radius) and "h" (height)

The formula for the volume of a cone is:

Vcone = 1/3 × h × π × r²

Step 2: Express the volume of the container in terms of "r" and "h"

The formula for the volume of a cylinder is:

Vcylinder = h × π × r²

Step 3: Calculate how many times the volume of the cone is contained in the volume of the cylinder

Vcylinder/Vcone = (h × π × r²) / (1/3 × h × π × r²) = 3

Joe wants to add cucumbers to his garden and knows the rectangular area is represented by x^2 - 4x - 21 square units. What expressions would represent the length and width of the cucumber field?

Answers

Given:

The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.

To find:

The length and width of the cucumber field.

Solution:

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where l is length and w is width of the rectangle.

The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.

We need to find the factors of [tex]x^2-4x-21[/tex] to get the length and width.

[tex]A=x^2-4x-21[/tex]

Splitting the middle term, we get

[tex]A=x^2-7x+3x-21[/tex]

[tex]A=x(x-7)+3(x-7)[/tex]

[tex]A=(x-7)(x+3)[/tex]

Area of a rectangle is the product of length and width.

Therefore, the length and width of the rectangle are [tex](x-7)[/tex] units and [tex](x+3)[/tex] units.

Use the elimination method to solve the system of equations.

A. (1.5,-8)

B. (-6,-13)

C. (0,0)

D. (4.5,-6)

Answers

Answer:

(4.5,-6)

Step-by-step explanation:

[tex]2x-3y = 27\\4x+3y = 0[/tex]

6x = 27

x = 27/6=4.5

9-3y = 27

-3y = 18

y = -6

PLEASE ANSWER ASAPPP

Answers

Answer:

the answer is 2035.75 cm³

Step-by-step explanation:

comment if you want explanation

[tex]\text{Solve the system of equations:}\\\\\left \{ {{y=3x+5} \atop {y=-4x+7}} \right.\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(0.286, 5.587)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

I have graphed the two equations in a program. When graphed, the lines intersect at point (0.286, 5.587). See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

factories ((x+2)+3x+6. 2a(a-1)-a+1​

Answers

Answer:1. = 4x+8  

2. 2a²-a+1

Step-by-step explanation:

1. ((x+2)+3x+6.  2. 2a(a-1)-a+1​

((x+2)+3x+6

= x+2+3x+6

= 4x+8

2a(a-1)-a+1

2a²-2a-a+1

2a²-a+1

8.
Out of total population of 50,000, only 28,000 read Newspaper and 23,000 read
magazines while 4,000 read both. How many of them do not read any paper ?​

Answers

the answer is in the picture

Help please-- Given circle O below, if arc GH and arc HJ are congruent, what is the measure of chord line HJ?

Answers

Answer:

the answer is D

Step-by-step explanation:

The answer is D because it is showing the model so it’s D

Hope this helps :)

What is the value of x?



Enter your answer in the box.

Answers

Answer:

solution

Step-by-step explanation:

ADC = Sum of triangle

AD+ AC = 2.25+3 =5.25

Step 2:

BCD = Sum of acute angled triangle = a+b+

c

BCD= 2.25+4+3

BCD = 9.25

The value of x =ADC+BCD

= 5.25+ 9.25

= 14.5

Answer is 2.75
Using the rule of Pitágoras saying that the hyp=square root of a(squared)+b(squared)
It’s gonna be 5 and then you just subtract it from 2.25 and that is the answer of x

Annapolis Company purchased a $4,000, 6%, 5-year bond at 101 and held it to maturity. The straight line method of amortization is used for both premiums & discounts. What is the net cash received over the life of the bond investment? (all money received minus all money paid, round to nearest whole dollar)

Answers

Answer:

The answer is "[tex]\bold{\$1160}[/tex]"

Step-by-step explanation:

Calculating total paid money:

[tex]= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040[/tex]

[tex]\text{Total received money = Principle on Maturity + Interest for 5 years}[/tex]

                                   [tex]= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\[/tex]

Total earnings over the life of the corporate bond

[tex]= \$5200 - \$4040 \\\\=\$1160[/tex]


[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.​

Answers

[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]

Which of the Following best describes a cylinder?

Answers

Answer:

D

Step-by-step explanation:

all the options seems similar..but i can find the D more suitable

What is the length of each side of a square if its area is 121 ft??
11 feet
12 feet
10 feet
30 feet

Answers

Answer:

11 feet

Step-by-step explanation:

Given,

Area of square ( a^2 ) = 121 ft

To find : Length of each side ( a ) = ?

Formula : -

Area of square = a^2

a^2 = 121

a = √121

a = 11 feet

Answer:

11 ft = side length

Step-by-step explanation:

The area of a square is found by

A = s^2

121 = s^2

Taking the square root of each side

sqrt(121) = sqrt(s^2)

11 = s

Someone tell me where everyone is going right please !!

Answers

9514 1404 393

Explanation:

The problem statement tells you the meaning of t. It is minutes after Riko leaves. 0 ≤ t < 52.5 is the answer to the question regarding the interval Riko is behind Yuto. It means Riko is behind Yuto for 52.5 minutes after she leaves their house.

t will not be negative because time moves forward. Here, we're only counting time after Riko leaves the house. A negative value for t would refer to a time before Riko leaves the house, which is irrelevant in this problem.*

_____

* One might argue that Riko is behind Yuto for all values of time after Yuto leaves the house, which would be for -21 < t < 52.5. The concept of "behind Yuto" has no meaning except in that interval.

Answer:

again again again hello or merhaba(hello)

speed = path / time

so we can say this;

speed × time = path

note;

two speeds in different directions add up

and

two speeds in the same direction subtract

our speeds are in the same direction so we subtract

0.35 - 0.25 = 0.10 speed

and our path is 5.25 miles because there are 5.25 miles between Yuto and Rico

when will they be in the same place now?

Let's solve with the formul;

speed × time = path

0.10 × time = 5.25 miles

in this equation we find the time 52.5 minutes

After 52.5 minutes they will be in the same place but before 52.5 minutes Riko will be behind Yuto

When Riko was behind Yuto;

0≤ t ≤ 52,5 ( this is our equation of time)

now the second question?

Why can't t be less than 0?

because time cannot take a negative value, as soon as they start moving, time passes and this cannot take a negative value

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey (≧▽≦)

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