The formula S=(n-2)180 gives the sum of the measures of the angles of n-sided polygon where n is the input and S is the output. a.) Solve the formula for n so that S becomes the input and n becomes the output. Solution: b.) Write the formula in (a) as the inverse function of f(x) - (x-2) 180. Solution: c.) Verify is the two functions are inverse functions. Solution: d. Determine the domain and range of the function and its inverse.​

Q: Choose non-zero values for a and b (a > 1, b > 1) that satisfy 12 · x = 12.

A:

Q: У — У, — т(x — х), for which variables do I y y1 substitute numbers?

A: The point-slope form of the equation of line passing through the point (x1, y1) and having slope m…

Q: What is the end behavior for this equation? f (x) = (x+3)² + 1 O As xxx, f(x) →→→→∞, and as a →→→→∞,…

A:

Q: If f (x) = 6x - 2, what is the value of f (4)? %3D O 16 O 22 O 24 O26

A:

Q: If 75% of x is 3000 the find the value of x

A: Given ,  If 75% of x is 3000 Then , we find the value of x  We know that  75% of x is 3000 means…

Q: Given that x and y show inverse variation, complete the table. 1 27 27 9

A: Since, x and y show inverse variation  we can write y=kx ⇒xy=k In other words we can say that…

Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: 0-Find (o cow フ .ce メ1 me for Pollowing function? W=xet2- xャト+ー6 +2²=6

A:

Q: Which one of the following values can never be negative?

A: So measures of central tendency and dispersion are given and we have to determine which measure can…

Q: What is the reciprocal of 3?

A: Reciprocal of "a" is " 1/a"

Q: 215 If x= find the value of

A:

Q: Select the correct answer O f'(1) = -3

A: In this question we will use basic of calculus i.e concept of differentiation. We will first find…

Q: Select the correct choice that completes the sentence below. To evaluate sec x, use the values of

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Solve the following equation for x. (Enter your answers as a comma-separated list.) = -2 X - 1 X =

A:

Q: Assume that Pr[E]=8/15, Pr[F|E]=7/16, and Pr[E′∩F′]=4/15. (1) Pr[F]=     (2) Pr[E∩F]=

A: It is given that, Pr[E] = 8/15, Pr[F|E] = 7/16, and Pr[E′∩F′] = 4/15.

Q: from the date set, find the value of f(7) by use lagrang method X 3 6 9 11 y 12 13 14 16

A:

Q: to

A: In Right angle triangle ,        sin(θ) = oppositeHypotenuse        cos(θ)= adjacenthypotenuse

Q: If  h(x) =    √6 + 5f(x) ,  where  f(2) = 6 and f '(2) = 5,  find h'(2). h'(2) =?

A: It is given that

Q: Solve for F if C = 10°. %3D F = C+32 Enter the number that belongs in the green box. F = [ ?]° Enter

A:

Q: When t = 1.8, find the positive value of x.

A:

Q: Find one solution of the equation -4=7cos(t) utilizing inverse trig functions.

A: Given ,  - 4 = 7 cost We have to find one solution of this equation utilizing inverse trignometry…

Q: of

A:

Q: the differe +3) is

A:

Q: Regardless of what real numbers I substitute for x and y, I will always obtain zero when evaluating…

A: We have given expression 2x2y-2yx2   The result of this expression always zero for any real numbers.…

Q: Given that x and y show inverse variation, complete the table. 3 27 27 9

A:

Q: find (x )

A:

Q: Work out the value of x, when X, = 1-2

A:

Q: If p and q vary inversely and p is 11 when q is 18, determine q when p is equal to 9.

A: Answer is given in next step  .

Q: If x> 0, y>0 and x-y =2xy, find the exact value of y -

A: If x>0, y>0 and x2-y2=2xy, then to find the exact value of xy.

Q: Express the function (or rule) in words. 9(x) = X + 1 3 Add 1, then multiply by 3. Divide by 3, then…

A:

Q: Write a formula for ( ogoh) where r-2 f(x) = 3x - 4, g(x) h(x) = Vx - 2 x+1

A:

Q: What would the value of x be?

A:

Q: If p and q vary inversely and p is 14 when q is 10, determine q when p is equal to 20.

A:

Q: What is the value of x in the figure shown?

A: Sum of the Exterior Angles of a Polygon is 360°

Q: What would the value of X be?

A:

Q: Express e in each figure in terms of x. (a) (b) 4 9,

A:

Q: Find the value of x to the

A:

Q: . Which is the value of x?

A: Given ,  Two rectangles are similar rectangles  X > 6

Q: Given the function y=ect where c is any nonzero real number, we compute the doubling time by taking…

A: given that function y=ect  where c is any non zero real number to find value of t for different…

Q: Find the value of X, If 4e + 6 qu

A:

Q: Add the expressions on the right side of this equation for the focal distance for a lens, in optics.…

A:

Q: answers in exact fo 3x +Vx-1 3. xp:

A: Solution with the fundamental theorem of calculus

Q: B. Find the value of x on

A: We will find the value of x.

Q: The value of (i)* is = Ο Π/2 -t / 2 O (2 /) ^ o O (T /2-) ^•

A:

Q: If f(x) = 5x-1, what is the ordered pair for x= 3 ? %3D O (3,11) O (3,15) O (3,14) O (3,4)

A:

Q: Find the value of x in the diagram.

A: A triangle

Q: If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.

A: Given that P and q varies inversely. Then, p α 1q and p =k1q where k is the constant of…

Q: By using the substitution, u = 1+ x*, or otherwise, find 1+x*

A: Use the standard formulas of integration to solve this problem.

Q: If p and q vary inversely and p is 29 when q is 25, determine q when p is equal to 5.

A: Solution-

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.