- 2x2 – x + 2, For the function f(x) evaluate and fully simplify each of the following. f(x + h) : Preview f(x + h) – f(x) Preview

Q: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

A: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

Q: MuGe Use cell te elements and ist get f each get n, notatron of /323 3S17,22, 27, 47, 3 DZ 2C/7C 13 ...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: (−a+1)(5a+6)

A: To determine the product of the factors.

Q: Flying against the jet stream, a jet travels 1880 mi in 4 hours. Flying with the jet stream, the sam...

A: Let the rate of still air be x miles/hr and the rate of the jet stream be y miles/hr.

Q: Prove that if {y1,...,yn} is an orthogonal set of nonzero vectors, then the vectors {x1,...,xn} deri...

A: Let consider the orthonormal set of nonzero vector be {w1, w2 …wn} instead of {y1...,yn} and the vec...

Q: Suppose you start with a number. You multiply the number by 3, add 7, divide by ½, subtract 5, and t...

A: Let ‘x’ be the number to start with. Then the given information can be written in the mathematical e...

Q: Given that log 2 = x, log 3 = y and        log 7= z, express the following expression in terms of x,...

A: We will write 0.3 as fraction. That is 3/10

Q: Show that the relation R in the set Z of integers given by R = {(a, b) : 2 divides a– b} is an equiv...

A: Given, the relation R in the set Z of integers given by R = {(a, b) : 2 divides a– b}.

Q: When 4 is added to two numbers, the ratio is 5:6. When 4 is subtracted from the two numbers, the rat...

A: Let the numbers are x and y.When 4 is added to two numbers, the ratio is 5:6.That can be written usi...

Q: Explain Column matrix along with an example.

A: A column matrix is a list of elements which is written in a column. It can also be called as a colum...

Q: Starting at the age of 40, an average man loses 5% of his hair every year. Atwhat age should an aver...

A: Consider the exponential decay formula,

Q: Write the equation of the circle in standard form. The coordinates of the center and the radius for ...

A: Given a circle

Q: The bookstore marked some notepads down from ​$3.003.00 but still kept the price over ​$2.002.00. It...

A: Let x be the price of each notepad and y be the number of notepads sold.Given, the price of each not...

Q: The sum of the ages of a wood plaque and a bronze plaque is 20 years. Fouryears ago, the bronze plaq...

A: Given: The sum of the ages of a wood plaque and a bronze plaque is 20 years. Fouryears ago, the bron...

Q: Manufacturing. Bright Ideas is planning to make a new kind of lamp. Fixed costs are $90,000, and var...

A: Given:

Q: The present ages of Deklerk and Saniya are in the ratio 3:4. Five years from now, the ratio of their...

A: Let the present age of Deklerk is 3x year and the present age of Saniya is 4x year.

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: Prove that the relation of congruence is an equivalence relation.

A:

Q: Show that every plane through the origin in R³ may be identified with the null space of an element i...

A:

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the soluti...

A:

Q: 0.03(x-40)+0.9(x+10)=45

A:

Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: Brown has the same number of brothers as sisters. His sister Sylvia as twice as many brothers as sis...

A: Let x be the total number of brothers and y be the total number of sisters are in the family.Given,B...

Q: Write the decimal three and one thousand nine hundred seventy-eight ten-thousandths using numbers. t...

A: Three and one thousand nine hundred seventy-eight ten-thousandths?

Q: A washer costs 25% more than a dryer. If the store clerk gave a 10% discount for the dryer and a 20%...

A: Let x be the cost of dryer    

Q: 7. Tom and Mary have invested in a joint partnership. The total value of the investment is $240 000....

A: Consider the assumptions to be made.

Q: If  x = 3√5 +2    then find  the value of      x3−6x2 +12x−13

A: it is given that,

Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: The value of a=   b  2                                                              b-a  Find the va...

A:

Q: The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to ei...

A: Let the number of minutes Laura runs be x.And the number of minutes Laura bikes be  y.

Q: A train leaves union station for central station, 216 km away at 9am. One hour later a train leaves ...

A: Let the speed of the  train which leaves union station for central station is x km/hour . Let call t...

Q: Show that the midpoint of the line segment joining the points (a, b) and (c,d) is ((a + c)/2, (b + d...

A: Mid point formula is:

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: Evaluate the determinant of the following matrices in the manner indica (a) Expand -1 0 -3 2 3 along...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: Solve the following for the indicated variable. A = 2πr2 + 2πrh for h  (Surface area of a circular ...

A: Given:

Q: Solve the following equation: 52x − 5x − 12 = 0

A: Given equation is

Q: On a steep mountain road the elevation dropped at the rate of 9 feet per 60 feet. Using signed​ numb...

A:  Here we have to find the rate at which the road dropped per

Q: Consider f : {1, 2, 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. Findf-1 and show that (...

A: Given function is

Q: The square root of a number plus two is the same as the number. What is the number?

A: Let the number is x.Square root of x = sqrt(x)

Q: Are f and g both necessarily onto, if gof is onto?

A: Given: f and g are two functions and gof is onto.

Q: Sualuate 101-1 18-1- 18 et =-4 and 4 0oaluede ealh 931-3x +44/

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Show that the matrix B′AB is symmetric or skew symmetric according as A is symmetric or skew symmetr...

A: Show that the matrix B′AB is symmetric or skew symmetric according as A is symmetric or skew symmetr...

Q: {x|x is an even whole number less than 6}

A: To find:x such that x is an even whole number less than 6.

Q: What is meant by the term commutative in algebra? Explain along with an example.

A: Definition: The Commutative property in algebra states that order does not matter.In other words, if...

Q: I cant figure out this question.

A: The equation of annual profit of Elijah is given:

Q: Consider the following information regarding the number of men and women workers in three factories ...

A: Represent in 3 x 2 Matrix form.

Q: If (1+x)2=1.03(1+x)2=1.03, then find the exact value for the positive solution of this equation. Cho...

A:

Q: 4. Consider the following system of linear equations: 2x+5y =30 x-4y=10 The value of y in the soluti...

A: Find value of y.

Q: A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes.(a) Find a for...

A: A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes so theformula ...

Q: Darren drives to school in rush hour traffic and averages 35 mph. He returns home in mid-afternoon w...

A: Let  the distance between his home and school is x miles.