Quadratic equations Questions and Answers

Find the product of the sum and difference of two terms 2z 5 2z 5 2z 5 2z 5 Simplify your answer

Fill in the blank A B A B A 2AB B A 2AB B A B A B

2 9x 21x 10 Select the correct choice below and fill in any answer boxes within your cho 2 9x 21x 10 O A

A bag of coins contains 2719 coins How many gross of coins does the bag contain 144 objects 2000 1 gross 2719 gross 18 88 gross 144 gross 3 915 x 105 gross

Factor the difference of two squares 169x 196y

Factor the following polynomial completely 32p 48p 18 32p 48p 18

Factor the difference of two squares completely x 16 2 X

Factor the following polynomial completely x 20x 100 C

Determine whether the following statment is true or false The graph of y 7g x is the graph of y g x stretched by a factor of 7 Choose the correct answer below OA True because the graph of the new function is obtained by multiplying each y coordinate of y g x by 7 and 7 1 OB True because the graph of the new function is obtained by adding 7 to each x coordinate O C False because the graph of the new function is obtained by adding 7 to each x coordinate OD 1 false because the graph of the new function is obtained by multiplying each y coordinate of y g x by 7 1 and 1

1 Which of the following functions has a graph that is the graph of y f x compressed horizontally by a factor of 2 Choose the correct answer below O y 2f x Oy O y f x O y f 2x

Click here to watch the video Which one of the library of functions discussed has no intercepts Choose the correct answer below OA The constant function OB The reciprocal function OC The square root function OD All of them had an intercept

If f x a f 0 b f 1 c f 5 d f 6 2x 5 if 2 x 5 3 x 5 if 5 x 6 find a f 0 b f 1 c f 5 and d f 6 27

The function f is defined as follows x 3 f x 8 x 2 OA a Find the domain of the function b Locate any intercepts c Graph the function d Based on the graph find the range if 2 x 1 if x 1 if x 1 C Cnoose the correct grapn below HIPH pat 5 OB 10 Ay HH a THE G O C OD HH

Simplify the expression completely 1 P1 490P 14p p6

Find the product using the distributive property y 4 2y 3

Find the following product using the FOIL method 5x 4 x 4

5 How many ml of a 35 alcohol solution must be mixed with 9 ml of pure water to make a 20 solution A 11 ml C 18 ml B 12 ml D 6 ml

2 7xy5 x y 2 5 3 2 5 2 7xy5 x y X 3

Multiply a b 8a b 4ab 2 4ab 2 n 8 n 4ah 4ab t

Simplify the expression 3 2x 2 1 12x 3 2x 2x 1 x 12 3 2x 2x X

Simplify the expression completely 3x 2x 4x6 3 2 3x 2x 4x6 11

Simplify the expression 2 x4y 9xy 2 x4y 9x

Simplify the expression 4x x 12 213 3

Simplify the following expression 64 36 4 b4 36 4 2 2 11

Find fog x and gof x for the indicated functions f x 8x 4 g x fog x gof x x 4 8 Simplify your answer Simplify your answer

Find fog x and gof x f x 5x 9 g x 6 5x fog x 25x 21 Simplify your answer gof x Simplify your answer

Find fog x and gof x f x 25 g x 0 04 fog x 25 gof x Part 2

Find f x and g x such that h x fog x h x 1 5x 2 Suppose that g x 1 5x f x

Find fog x and gof x f x 5x 9 g x 6 5x fog x Simplify your answer Part

Determine whether y is a function of x Explain 36 y 11 37 y 3x 7 38 x 3y

Multiply the monomials 5x y 3xy 4x4y 5x x 3xy x4 2 1 Ar

Multiply the monomials 4 6 mn 6 mn 24mn 24mn

Simplify the expression 2 5 2 5

Simplify the expression 3 3 3 0

7 3 3 2 3 2 2 3 Simplify your answer Type an exact answer using radicals as needed Rationalize the denominator 7 3 3 2 3 2 2 3 7 3 3 2 7 3 3 2 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 21 3 2 14 3 9 2 6 2 3 3 2 2 3 21 6 42 18 6 6 15 6 24 6 6

Simplify using the product rule x15 x2 15 2 ivo exponents o e positi

Simplify the expression 5m n 4 5m n 4 Simplify your answer Use integers or fractions for any numbers in the

Evaluate the following expression 7 7 2

Rationalize the denominator Assume that all expressions under radicals represent positive numbers 2x 147 2x 147

f en 30 cm 4 39 10km2 A 182 CM 18cm A dikd rtgenmin kec cm dir J player f 719

Exercise 2 2 1 Consider the set PT of all Pythagorean triplets For a b c PT we assume a bc Then V a b c PT a b c 60 a b c 60 a b c 3 4 5 Hint Prove that for every a b c PT we have that 3 a b and that 5 a b c Conclude that 60 a b c Observe also that a b c 30 a b c 3 4 5 2 Prove that if a b c E PT is such that a b c form an arithmetic progression then a b c 3k 4k 5k for some k N 0 Conclude that 3 4 5 is the only PPT whose components form such a progression

Add or subtract Simplify by collecting like terms if possible 9 500 108 4 32 9 500 108 432 ce 50 4

6 6 17 X 30 18 yz 17 X 30 18 vyz View an example All parts showing 4 Simplify by taking roots of the numerator and the denominator Assume that all expressio 6 19 13 X 12 30 y z 6 12 30 yz Summarize 12 Finally simplify each radical if possible 6 x18 6x x 6 x X 19 25 y z 6 19 618 6 36

mplify the following expression 3 27x 27x 5 y Type an exact answer using radicals as needed 4 Simplify the following expression 3 11 1331x 3 3 NY Note that expression in the radical in the denominator is a perfect cube S root 3 133193 2 33 2 11x Y

Next question Use the given equivalents along with dimensional analysis to convert the given unit to the unit indicated 18 oz to g 18 oz 16 oz 1 lb 2000 lb 1 T 1 oz 1 lb 1T 28 g 0 45 k 0 9 t

The approximate heights of two of the world s tallest mountains are given Determine which is the taller mountain and by how many meters Roull Manaslu 8163 meters and Gasherbrum 1 26 509 feet Click the icon to view a table of English and Metric Equivalents The taller mountain Round to the neares is taller by approximately Gasherbrum I Manaslu meters HOLD A English and Metric Equivalents English and Metric Equivalents 1 in 2 54 cm M X

Convert the given unit of weight to the unit indicated 16 g to cg 16 g cg

Convert the given unit of weight to the unit indicated 8 5 dg to mg 8 5 dg mg

se the 6 tbsp to mL Click to check the table of English and Metric Equivalents for Capacity 6 tbsp mL Round to two decimal places as needed English and Metric Equivalents for Capacity English and Metric Equivalents for Capacity 1 teaspoon tsp 5 milliliters mL 15 milliliters mL 30 milliliters mL 1 tablespoon tbsp 1 fluid ounce fl oz 1 cup c 1 pint pt 1 quart ot 0 24 liter L 0 47 liter L 0 95 liter L X

Use dimensional analysis to convert the quantity to the indicated units 18 ft to in in Round to the nearest hundredth as needed