This is correct right?

Answer:

a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) [tex]\mathbf{f(g(9))=16}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]

We need to find  [tex]a) f(g(x))\\b) f(g(9))[/tex]

a) First finding: [tex]f(g(x))[/tex]

It can be found by putting the value of g(x) into f(x)

We are given:

[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]

SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) Now finding: [tex]f(g(9))[/tex]

It can be found by putting x=9 in f(g(x))

We have:

[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]

So, we get: [tex]\mathbf{f(g(9))=16}[/tex]

The answer is 25.

2^4 + 3^5 = 25.

Answer:

The person above me is correct :))

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So timing a fraction with a fraction smaller by 1 means its a proper fraction.

And it can't get bigger than it already is because it's timing a less than 1 itself.

So it's A, it will be smaller

Answer:

The answer is 6.762 pounds.

Step-by-step explanation:

2.12 + 1.45 + 3.19 20 = 6.762.

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

Answer:

Divide

Step-by-step explanation:

18/9 = 2

Answer:

1

Step-by-step explanation:

Who knew the answer would be 1 LOL

hope this helps :)

Answer:

2

6,6,6,6,6,6=more than 5

7,7,7,7,7=has exactly 5 members

[tex]\displaystyle K_c \approx 0.0424[/tex]

Math

Pre-Algebra

Order of Operations: BPEMDAS

Chemistry

Equilibrium

Step 1: Define

[RxN]   2NO₂ ⇆ N₂O₄

[Equilibrium Rate Law]   [tex]\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}[/tex]

NO₂ = 11.95 M

N₂O₄ = 6.05 M

Step 2: Find K

This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).

Answer:x=1/9

Step-by-step explanation:

1. subtract 2 from both sides

9x+2-2=3-2

2.simplify

9x=1

3.Divide both sides by 9

9x/9=1/9

4.simplify

x=1/9

Answer:

I do not know but did you find it out?

Step-by-step explanation:

bbbbbbbeeeeeeeeeeeeeeeeeeeeeeep

Answer:

Annual interest rate for this loan. Interest is calculated monthly on the current outstanding balance of your loan at 1/12 of the annual rate.

Monthly loan payment is $400.76 for 60 payments at 7.5%.

Step-by-step explanation:

Calculate:PaymentAmount

?Loan amount:*Enter an amount between $0 and $100,000,000

$20,000

?Monthly payment:

$401

?Interest rate:*Enter an amount between 0% and 25%

7.5%

?Term in months:*Enter an amount between 1 and 480

60

Total interest paid:$4,045.51

Total payments:$24,045.51

Answer:

here is your answer....

(1001)^3

(1000+1)^3

1000^3+3*1000^2*1+3*1000*1^2+1^3

1000000000+3*1000000+3*1000+1

1000000000+3000000+3000+1

ans: 1003003001 ..

I hope this will help you...

im not sure sorry

also make you 2021 be better than your 2020 and stay safe

Answer:

6n + 24

Step-by-step explanation:

Use the distributive property.

6(n + 4) = 6 * n + 6 * 4 = 6n + 24

Answer:

there is your answer hope that helps

Answer: 7.1

Step-by-step explanation:

Exponential functions: y=ab^x

A = starting value

R= rate ex: 3% = .03

B= 1 + r

Then write your exponential function

Answer:

m = 5

Step-by-step explanation:

2x5 is 10

-4 + 10 = 6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

m=5

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

This is the answer because:

1) All the multiples of 5 are not multiples of 10 because multiples of 10 end in zeros and not all the multiples of 5 end in a zero.

Therefore, the answer is false.

Hope this helps! :D

Answer: false

Step-by-step explanation: say for instance 25 (5•5) is not a multiple of 10

Given:

Savings for each week = $25

Amount required before Carlos purchase a car = $565

To find:

The number of full weeks in which he will have enough money to purchase the car.

Solution:

Let the required number of weeks be x.

Savings for 1 week = $25

Savings for x week = $25x

Savings must be greater than equal to $565 to purchase the car.

[tex]25x\geq 565[/tex]

Divide both sides by 25.

[tex]x\geq \dfrac{565}{25}[/tex]

[tex]x\geq 22.6[/tex]

So, the smallest possible integer value of x is 23.

Therefore, 23 week are required to have enough money to purchase the car.

Answer:

D. 75

Step-by-step explanation:

Answer:

The answer is 0

Step-by-step explanation:

because the x intercept is 5,0

Answer: Numbers between 5 and 16 are:-

6, 7, 8, 9, 10, 11, 12, 13, 14 , 15 and 16.

Therefore, total number of outcomes =11

Numbers inclusive between 5 and 16 which are divisible by 2 or 3 are-

6 , 8, 9 ,10 ,12, 14 and 15.

Number of favourable outcomes = 7

Therefore, probability of getting a number which is either a multiple of 2 or 3 is:

p(e) = \frac{7}{11}p(e)=

11

7

HENCE, THE REQUIRED PROBABILITY IS = 7 / 11.

Step-by-step explanation: does this help?

Answer:

slope = 2

y-int = 3

Step-by-step explanation:

y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis

slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values

ex,  3 - 1    = 2

     0 - (-1)      1

or:   5 - 3  = 2

        1 - 0        1

Answer:

1 gigabyte

Step-by-step explanation:

70-65.50=4.5

The maximum whole number of gigabytes of data she can use while staying within her budget 2 gigabytes.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now given that,

Flat cost per month = $65.50

Cost per gigabyte = $4

Let x be the total gigabytes she uses in a month.

Thus, Cost of gigabytes of month = 4x

So, total bill of the month = 65.50 + 4x

Now  since, Hannah wants to keep her bill under $70 per month

⇒ 65.50 + 4x ≤ 70

Subtracting 65.50 both the side we get,

4x ≤ 70 - 65.50

⇒ 4x ≤ 4.50

Dividing 4 both the side we get,

⇒ x ≤ 1.125

Since she has to pay for the whole gigabytes

⇒ x ≤ 2

which is the required gigabytes she can use to keep her bill $70.

Thus, the maximum whole number of gigabytes of data she can use while staying within her budget is 2 gigabytes.

To learn more about inequality :

https://brainly.com/question/13363104

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