Given that f(x) = 5x – 8 and g(x) 5, calculate (a) f(g( – 10)) (d) g(f( – 9)) II

Q: Check the injectivity and surjectivity of the following functions:(i) f : N → N given by f(x) = x2(i...

A: i. f : N → N given by f(x) = x2

Q: A father is three times as old as his son, and his daughter is 3 years younger than the son. If the ...

A: given A father is three times as old as his son, and his daughter is 3 years younger than the son. I...

Q: A ball bounced 4 times, reaching three-fourths of its previous height with each bounce. After the fo...

A: We draw the situation roughly. Let the height when the ball was dropped is = h cmSo height after fir...

Q: In each of the following cases, state whether the function is one-one, onto or bijective. Justify yo...

A: Given:

Q: Find a polynomial of degree 3 Zeros -2,1,0 and P(2)=32

A: Given:The zeros given of the polynomial are -2,1, and 0.If a polynomial has a zero at x=c, then x-c ...

Q: a family pool holds 10,000 gallons of water. how many cubic meters is this?

A: Let x cubic meter of water = 10,000 gallons1 cubic meter of water = 264.172 gallons of waterSo, x cu...

Q: Let f: X → Y be an invertible function. Show that the inverse of f-1 is f, i.e.,(f-1)-1= f.

A: To show the inverse f-1is f.

Q: If A and B are symmetric matrices of the same order, then show that ABis symmetric if and only if A ...

A: Given that, A and B are symmetric matrices.

Q: Show that the relation R in the set A of points in a plane given by R = {(P, Q) : distance of the po...

A: It is given that, the distance of point P from the origin is same as that of distance of point Q fro...

Q: Factor the expressions below:   (x +1) y + 4 (x + 1)

A: Given expression is

Q: how many miles will a person run during a 10-kilometer race?

A:

Q: for the set b={3}, determine n(b)

A: Given,

Q: Solve the following logarithmic equation:  log2(x − 2) + log2(x + 1) = 2

A: Given,

Q: For each operation ∗ defined below, determine whether ∗ is binary, commutativeor associative.(i) On ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: How do I solve this

A: Jessica received a total of 108 phone calls. The first evening she received 6 more call than the thi...

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: a.Find the free storage left in the phone.

Q: Find the equations of the planes containing the following points in space.  (a) (2, -5, – 1), (0, 4,...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: Prove the given theorem:  If f : X → Y, g : Y → Z and h : Z → S are functions, then ho(gof) = (hog)o...

A: Given that

Q: Is (6,7) a solution for y=11x+8?

A: Given:

Q: Prove the given theorem: For any square matrix A with real number entries, A + A′ is a symmetricmatr...

A: Given: Prove that for any square matrix A with real number entries, A + A′ is a symmetricmatrix and ...

Q: 15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine o...

A: Given, 15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is...

Q: find the two numbers whose diffrence is 7 and whoes product is -12

A: Given:find the two numbers whose difference is 7 and whose product is -12let x and y be the number.

Q: Let A be an n x n matrix. Prove that det(A*) = det(A).

A: Given:

Q: Let ∗ be a binary operation on the set Q of rational numbers as follows:(i) a ∗ b = a – b.          ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: A limestone statue is 56 years older than a marble statue. In 12 years, thelimestone will be three t...

A:

Q: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describi...

A: To determine the integer equation describing the pay check.

Q: y=6/5 + 1/2

A: Given expression is 

Q: Use the given information to find the new price. Round to the nearest cent.Original Price: $24Markup...

A: Given:

Q: Define Invertible Matrices. Give an example.

A: An n x n square matrix A is called Invertible Matrices, if there exists an n x n square matrix B suc...

Q: An investor invests 5000 dollars at 10% and the rest at 5%. How much was invested at 5% if the yield...

A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

Q: Prove that if the vector x emanates from the origin of the Euclidean plane and terminates at the poi...

A: Given:

Q: (−a+1)(5a+6)

A: To determine the product of the factors.

Q: solve : log(7x+2)=log(x-9)

A: Since both sides have log, so cancel log from both sides. 

Q: A wool tapestry is 32 years older than a linen tapestry. Twenty years ago, thewool tapestry was twic...

A: Given: A wool tapestry is 32 years older than a linen tapestry. Twenty years ago, thewool tapestry w...

Q: A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its n...

A: Given:There is an inverse relationship between the popcorn sales and the nacho sales.On a given nigh...

Q: the base of a triangle is 1 in more than twice the heigth find the base of the height if the area of...

A: Consider the given statement of the question,Let height of the triangle is h in.According to the que...

Q: Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let R1be a relation in X given by                  R1= {(x, y) ...

A: Obtain the set R1 as follows.

Q: – 2x2 Given that f(x) = g(x) = 3x – 3, determine each of the following. Make sure to fully simplify ...

A: Given,

Q: write the equation of the line with the given slope and the given y intercept. leave the answer in s...

A: Consider general equation of line.Rearrange general equation of line to obtain y in the form of x.

Q: Consider f : N → N, g : N → N and          h : N → R defined as f(x) = 2x,g (y) = 3y + 4 and h (z) =...

A: Given, Consider f : N → N, g : N → N and          h : N → R defined as f(x) = 2x, g (y) = 3y + 4 and...

Q: Let A be the set of all 50 students of Class X in a school. Let f : A → N befunction defined by f(x)...

A: Given, Let A be the set of all 50 students of Class X in a school. Let f : A → N be function defined...

Q: Show that ∗ : R × R → R given by           a ∗ b → a + 2b is not associative.

A: Given:Show that ∗: R × R → R given by           a ∗ b → a + 2b is not associative.

Q: A manufacturer produces three products x, y, z which he sells in two markets.Annual sales are indica...

A: The matrix for the product x, y, z per market be denoted by matrix A:

Q: How much water should be added to 16 ml of​ 12% alcohol solution to reduce the concentration to​ 8%?

A: Find the amount of water.

Q: When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What ...

A: Given that, a number is increased by 20% the result is the same when it is decreased by 10% plus 12....

Q: What is meant by the term Variable in the algebra? Explain giving an example.

A:

Q: Place each of the following numbers in a column and then add. 26.762+17.8263+8.8495+3.32 26.762+17.8...

A: Given,

Q: 10(3x2-13x) = -40  . Zero Factor Property

A: Given:

Q: Show that the relation R defined in the set A of all polygons as R = {(P1, P2) :P1 and P2 have same ...

A: Given, relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number...

Q: Simply Each Expression Leaveanswer in expontential form  (5a2b5) /c6

A: Simplify the expression in exponential form