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

Helpp!!!!
Give the relation and identify the x and y axis intercepts.

Answers

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

[tex]y = x^2 - 8 x + 12[/tex]

To get the x intersept put y = 0

[tex]x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6[/tex]

So, the intersepts are

(2, 0) and (6, 0)

I don't exactly understand ​

Answers

Check this link: https://brainly.com/question/12053038

The same question is explained here :).

Hope it helps.

Solve for x

Marking brainliest

Answers

Answer:

110°

Step-by-step explanation:

Find the area of the square whose length is 3.5 inches?

Answers

Answer:

[tex]12.25[/tex]

Step-by-step explanation:

Area of square is

[tex] {s}^{2} [/tex]

where s is the side length.

3.5 is s so the answer is

[tex]3.5 {}^{2} = 12.25[/tex]

Answer:

Area = 12.25 square inches

Step-by-step explanation:

[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]

What is the value of a+b?
A) 110
B) 125
C) 135
D) 145

Please help!!!!

Answers

To find a you divide 90 by 2 which equals 45. So a=45
A circle has 360 degrees. So you add 90 and 110 together and get 200 degrees. So to find the rest you subtract 200 from 360.

360-200=160 degrees.

To find b we divide 160 by 2 and that equals 80. So b=80.

a+b=45+80=125.

The answer is B

Evaluate each of the following. help plz

Answers

Answer:

5!= 120

13!= 6227020800

12!/6!= 665280

10!/7! 3!= 120

5(4!)= 120

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

うsじょうぉじょあそlざ

ありおdごうおの

Answer:

First drop box: 40x + 18(x - 3) = 468

Second drop box: $6

Step-by-step explanation:

Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)

Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R​

Answers

Answer:

247.18

Step-by-step explanation:

please watch the diagram carefully to see marked areas

According to given situation cosine law in trigonometry identities used

[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.

What is trigonometry identities.

If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:

Sine law

Cosine law

Tangent law

According to question,

The angle between RP & RQ.

Using the cosine law

[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]

[tex]x=83[/tex] degree

[tex]150-83=67[/tex]

Hence, the bearing of P from R​ is 67 degree

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1.A dozen bananas cost nu; 24? a/how much do 3dozen bananas cost? b/what is the cost of 6bananas? c/what is the cost of 1banana's?​

Answers

Answer:

12 banana cost=Rs.24

now

a)3dozen bananas=24/12×36=Rs.72

b)cost of 6bananas =24/12×6=Rs.12

c)cost of 1 banana =24/12×1=Rs.2

SOMEONE PLEASE ANSWER THIS PLZZZ

Answers

Answer:

.14

Step-by-step explanation:

A|B (or A given B)= A and B/B

So

Walk to school | senior= (walk to school and senior)/Senior

walk to school and senior= 5

senior= 25+5+5= 35

5/35= .14

simplify (-9)×5×6(-3)​

Answers

[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]

represent the following additions on a number line 3+5=8 3+(-5)

















Answers

Answer:

8 &-2

Step-by-step explanation:

<-------------------------->

-2-1 0 1 2 3 4 5 6 7 8

________________

-2<8 and 8>-2

A triangle has the vertices of P(2,5),Q(-4,7) and R(-2,-1) classify the triangle is scalene, Isoceles or an equilateral triangle

Answers

Answer:

isoceles

Step-by-step explanation:

The vertices are not equal

Solve the equation : 4x-(-2)=18

Answers

[tex]\large\boxed{ \sf{Answer}} [/tex]

[tex]4x - ( - 2) = 18 \\ 4x + 2 = 18 \\ 4x = 18 - 2 \\ 4x = 16 \\ x = \frac{16}{4} \\ x = 4[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Step-by-step explanation:

4x-1-2=18

4x+2=18

4x=18-2

4x=16

x=16/4

x=4


If A and B are independent events, then it must be true that P(ATB) = P(A).

Answers

Yes it has to be true

Hope this helps :)

well, let's take a look at two independent events

A)  the potato is hot

B) it's raining

now, the potato could be hot whether is raining or not, A is totally independent of B, so what's the probability of "the potato being hot, GIVEN that it's raining" P(A | B)  is the same as if it wasn't raining, or P(A), the fact that B occurred, doesn't affect A at all, the potato is hot regardless, rain or not.  So P(A | B) = P(A).

I need help w this ASAP !!!

Answers

hmm...let me think a little bit

Step-by-step explanation:

hmmm ..... i dont know so sorry

i am very very sory

What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5

Answers

Answer:

A

8.5 is the answer

If you test is going on so

all the best!

Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)

Answers

Given:

D be the event that a randomly chosen person has seen a dermatologist.

S be the event that a randomly chosen person has had surgery for skin cancer.

To find:

The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.

Solution:

Conditional probability: Probability of A given B is:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Let D be the event that a randomly chosen person has seen a dermatologist.

Let S be the event that a randomly chosen person has had surgery for skin cancer.

Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).

Therefore, the correct option is D.

A line has slope 3 and y–intercept 4.

Answers

Answer:

1. 4x + y= 3

Step-by-step explanation:

im sure that is the right answer

y=3x+4

(y=mx+b)
m=3 and b=4

Find the area.

A hexagon with side length 6m.

Answers

Answer:

93.53m.

Step-by-step explanation:

.

Find the equation of the line shown.
У.
4
3
2
х
4-3-2-19
B 46

Answers

Answer:

The equation is:

Y=2x-1

PLS HELP TIMED QUESTION (I'll mark brainiest)
Please show work if possible.

Answers

Hello,

[tex]sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\[/tex]

Answer A

Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table for ingredients C and Y for the given number of servings

Answers

Answer:

The last table (the bottom one)

Step-by-step explanation:

The ingredients having the same ratio means that, for every number of servings, we should have:

Y/X = constant.

So, for the first table when we have 1 serving, the quotient is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 3/2 = 1.5

The ratios are different.

Then this is not the correct option.

For the second table, when we have 1 serving the ratio is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 4/2 = 2

when we have 3 servings:

Y/X = 8/3 = 2.66

This is not the correct option.

For the third table:

1 serving:

Y/X = 2/1 = 2

2 sevings

Y/X = 3/2 = 1.5

This is not the correct option.

fourth table:

1 serving:

Y/X = 2/1 = 2

2 servings

Y/X = 4/2 = 2

3 servings

Y/X = 8/4 = 2

Here we can see that the ratio is always the same, then the ratio remains constant.

This is the table that shows a possible ratio for ingredients X and Y,

What is the length of the hypotenuse of the right angle triangle, keep your answer to 1 decimal place a is 9cm and b is 13cm

Answers

Answer:

15.8cm

Step-by-step explanation:

\sqrt{9^2+13^2} =15.8113883008

15.8cm

what expression is equivalent to 96+18

Answers

Answer:

114

Step-by-step explanation:

114

Find the product.

(-2 x2 ) 3 ·3 x

Answers

Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7

Find the area of the parallelogram

Answers

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

work out the number of ham sandwiches Tina had

Answers

Answer:

Number of ham sandwiches Tina made = 60

Step-by-step explanation:

Total number of sandwiches = 480

Fraction of total sandwiches which are Tuna = [tex]\frac{3}{8}[/tex]

Therefore, number of Tuna sandwiches = [tex]480\times \frac{3}{8}[/tex]

                                                                   = 180

Percentage of beef sandwiches = 35%

Therefore, beef sandwiches = [tex]480\times \frac{35}{100}[/tex]

                                                = 168

Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6

[tex]\frac{h}{c}=\frac{5}{6}[/tex]

[tex]c=\frac{6}{5}h[/tex] ------(1)

Total number of Tuna sandwiches + Total number of beef sandwiches + Total number of ham sandwiches + Total number of cheese sandwiches = 480

180 + 168 + h + c = 480

h + c = 480 - 348

h + c = 132

Substitute the value of c from equation (1),

[tex]h+\frac{6}{5}h=132[/tex]

[tex]\frac{11}{5}h=132[/tex]

[tex]h=\frac{132\times 5}{11}[/tex]

[tex]h=60[/tex]

Therefore, number of ham sandwiches Tina made = 60

the diameter of circle Q is 14 cm. Find the arc length of PR.

Answers

Answer:

4.15, or 1.32pi

Step-by-step explanation:

arclength is circumference(34/360)

so pi x d (34/360)

3.14 x 14 x (34/360) = 4.15, or 1.32pi

The arc length PR is 4.151 cm.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the centre.A section of a line that runs from a circle's centre to any point on the circle itself. "R" or "r" stand for the circle's radius.

As per the given data:

The diameter of circle Q = 14 cm

From the given diagram:

∠PQR = 34°

For finding out the arc length PR:

arc length = angle in radian × radius

radius = diameter / 2 = 14 / 2 = 7 cm

angle in radian = 34° × (π / 180°) = 0.593 radians

arc length PR = 0.593 × 7 = 4.151 cm

Hence, the arc length PR is 4.151 cm.

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a.
Complete each sentence.
Point A is located at
The ordered pair (-2, 4) is located at

Answers

Point A is located at (1,-3)

The ordered pair (–2, 4) is located at T

The point A is located at (1,-3). The ordered pair (-2,4) is located at point T.

Coordinate geometry, also known as analytic geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent and study geometric figures and their properties using algebraic equations and coordinates.

In coordinate geometry, points in a plane are represented by ordered pairs of numbers called coordinates. The most common coordinate system is the Cartesian coordinate system, which uses two perpendicular lines, the x-axis and the y-axis, to locate points.

The location of point A is at (1,-3) from the graph. The ordered pair (-2,4) is representing point T on the graph.

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