Pls help it is khan academy :)

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]

[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]    

[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]

As f[g(x)] is not equal to x, these functions are not inverses.

2)

Let's find f[g(x)] and simplify.

[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]

[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]

[tex]f[g(n)]=\frac{4n}{4}[/tex]

[tex]f[g(n)]=n[/tex]

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]

[tex]g[f(x)]=-16+n+16[/tex]

[tex]g[f(x)]=n[/tex]

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!  

Answer:

its spreadsheet or excel

Answer:

0.4% or in decimal form 0.004

Step-by-step explanation:

took the test and got it right!

Answer:

803 SORRY FOR ALL THE WRONG ANSWERS LOL

Step-by-step explanation:

you multiply the cents and the money by 2 then multiply it by 365

Answer:

y = 6x+6

Step-by-step explanation

Answer:

y = 6x + 6

Step-by-step explanation:

in slope-intercept form, m = the slope of the line, and b = the y-intercept

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Answer:

See explanation

Step-by-step explanation:

1.

a) simple interest = PRT/ 100

I = 10,000 * 4 * 5/100

I =$ 2000

A = $10,000 + $ 2000

A =$ 12,000

b) A = P(1 + r/n)^t*n

Where;

A = amount

P = principal

r = rate per year

n = number of time the interest is compounded in a year

t = time in years

A = 10,000(1 + 0.04)^5/1

A = $ 12,166.5

c) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/12)^5*12

A =$ 12,210

d) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/365)^5*365

A=$ 12,213.90

2.A = P(1 + r/n)^t*n

$16,061.05 = P( 1 + 0.035/4) ^20*4

$16,061.05 = P (2.0076)

P = $16,061.05/2.0076

P= $8000

3.

A = P(1 + r/n)^t*n

12,213.89 = P(1 + 0.04/365)^5*365

12,213.89 = P(1.221)

P = 12,213.89/1.221

P = $10,003.2

Answer:

A)

The "Standard Form" for writing down a polynomial is to put the terms with the highest degree first.

For example, the polynomial f(x)=x5+2x3−x2+2x+1 is in standard form because the highest degree terms are kept first.

B)

The problem 3 + 6 = 9 demonstrates the closure property of real number addition.

Observe that the addends and the sum are real numbers.

The closure property of real number addition states that when we add real numbers to other real numbers the result is also real.

In the example above, 3, 6, and 9 are real numbers  

Part(A),

The standard form of the polynomial is 3x⁴ - 2x³ + 5x² + 7x - 1.

Part(B),

This is another polynomial, so the closure property holds. Similarly, if we subtract or multiply these polynomials, the result is always another polynomial.

2x³ - 4x² - x + 8

A polynomial is a mathematical statement made up of exponents, coefficients, and variables, which are frequently denoted by the symbol x. (numbers that indicate the power to which the variable is raised).

Part A:

An example of a polynomial in standard form is:

3x⁴ - 2x³ + 5x² + 7x - 1

This polynomial is in standard form because the terms are written in descending order of degree, and each term has a coefficient and a variable raised to a power.

Part B:

The closure property of polynomials states that if we add, subtract, or multiply two polynomials, the result is always another polynomial.

For example, consider the polynomials:

f(x) = 2x³- 5x² + 3x + 1

g(x) = x² - 4x + 7

If we add these polynomials, we get:

f(x) + g(x) = 2x³ - 4x² - x + 8

This is another polynomial, so the closure property holds. Similarly, if we subtract or multiply these polynomials, the result is always another polynomial.

The closure property is important in algebra because it ensures that the operations we perform on polynomials are always well-defined and meaningful.

To know more about polynomials follow

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Answer:

170ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its 170 25+30=55 55+55=160 but it's only 5 away so I could be wrong

Answer:  5x>20

Step-by-step explanation:   his budget is 20 so it will not be with the 5. Since each pack cost 5 dollars, it would 5x. Furthermore, the inequality symbol would be facing toward the 5 because dave went past his limit.

The inequality that represents he went over his $20 budget is 5x > 20.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Dave went to a game convention to buy packs of trading cards.

Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget.

As he went over his budget the inequality that represents this situation is,

5x > 20.

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Answer:

Answer:

The proposed negation is not correct. A possible corect negation woulld be: There is an irrational number and, a rational number whose product is rational.

Step-by-step explanation:

From the given information above:

STATEMENT: "The product of ANY irrational number and ANY rational number is irrational".

From the above statement, the word "ANY" is very vital. Let assume we choose an element x from a particular set X of irrational numbers, as well as an element y from the set Y of a rational number, therefore, the statement has a use case and applies to every x and y element. Thus, in an effective mathematical way, the statement typically implies "for all x in set X and for all y in set Y, the product x*y is irrational.

However; from the negation of the "for all" statement is "there exists" (any text in discrete arithmetic will assist you to become fully aware of this fact). Any ramifications in the statement is likewise negated, i.e; if the statement infers that the resulted product of x and y is irrational, at that point the negation(invalidation) infers that the item isn't irrational. For example, it is rational. At the point when we set up every one of these facts, we get:

"There exist an element x in the set X, in addition to that; there exists an element y in set Y;  x*y is rational".

If we express that into the option given; the right option is:

"There exist an irrational number and a rational number whose product is rational"

Answer: it will be (4x-)

explanation: because the 2 that is outside the bracket will affect the 2 that is inside so it will be (4x-)

Answer:

Hope it helps u

Step-by-step explanation:

FOLLOW MY ACCOUNT PLS PLS

9514 1404 393

Answer:

  f, b, h, a

Step-by-step explanation:

Swapping the numbers in an ordered pair is not rocket science.

  (-5, 2) ⇒ (2, -5) . . . (f)

  (-4, 3) ⇒ (3, -4) . . . (b)

  (-1, 4) ⇒ (4, -1) . . . (h)

  (4, 5) ⇒ (5, 4) . . . (a)

Answer:

The answer to the question provided is 42.

Answer:

9.76

Step-by-step explanation:

area of a rectangle = length * breadth

length = (2x + 3)

breadth = x

given area is 220 sq. inches.

thus,

220 = x * (2x+3)

220 = 2x² +3x

2x² + 3x -220 = 0

x = (-b + √ ( b²-4ac) ) ÷ 2a

x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2

x =9.76

Answer:

a = -3

Step-by-step explanation:

-3 + (14 * -3) + 45 = 0

-3 + -42 + 45 = 0

-3 + 3 = 0

So, the answer is -3

Hope this helps! :)

Answer: -30

Step-by-step explanation:

Answer:

54 calories per serving

Step-by-step explanation:

if your question is how many calories per serving you just divide the amount of calories by the serving and you get how much per serving

Answer:

$340

Step-by-step explanation:

Given data

Inititial fee= $100

cost per minute= $1

Let the total charge for x minutes by y

Hence the expression for the total charges after x minutes is

y= 100+1x

y=100+x

But an after is from 12pm - 4pm= 4 hours

x=4*60

x=240minutes

y=100+240

y=$340

Answer:

5

Step-by-step explanation:

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750

Answer:

$46.08

Step-by-step explanation:

Hi,

She gets 48 (1.35) when she sells 48 muffins. That equals 64.8.

But she pays 48 (.39) to make them. That equals 18.72.

64.8 - 18.72 = 46.08

She makes $46.08

I hope this helps :)

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

Answer:

The inverse is  

y =  1 /3 x  −  2 /3

Step-by-step explanation: