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college algebra

Questions and Answers of College Algebra

Which of the equations in Exercise 7 are nonlinear equations in x? Explain why.Data from in Exercise 7Which equations are linear equations in x?A. 3x + x - 2 = 0 B. 12 = x2 C. 9x - 4 =
Which equations are linear equations in x?A. 3x + x - 2 = 0 B. 12 = x2 C. 9x - 4 = 9 D. 3x + 2y = 6
Solve each formula for the specified variable.d = rt for t (distance)
Complete each statement. The following key terms may be used once, more than once, or not at all.A collection of numbers, variables, operation symbols, and grouping symbols, such as 2(8x - 15), is
Complete each statement. The following key terms may be used once, more than once, or not at all.A(n) _________ in one variable (here x) can be written in the form ax + b (= / > / >) 0, with a
Complete each statement. The following key terms may be used once, more than once, or not at all.If we let x = 2 in the linear equation 2x + 5 = 9, a (true/false) statement results. The number 2 is
Complete each statement. The following key terms may be used once, more than once, or not at all.A linear equation with one solution in its _________ , such as 2x + 5 = 9, is a(n) _________ . linear
Fill in each blank with the correct response.A(n) _________ is an equation in which variables are used to describe a relationship.
Fill in each blank with the correct response.To solve a formula for a specified variable, treat that _________ as if it ere the only one and treat all other variables like _________ (numbers).
Write each decimal as a percent.(a) 0.35 (b) 0.18 (c) 0.02 (d) 0.075 (e) 1.5
Write each percent as a decimal.(a) 60% (b) 37% (c) 8% (d) 3.5% (e) 210%
Solve each formula for the specified variable.I = prt for r (simple interest)
Calculate the value mentally203/2/53/2
Calculate the value mentally22/3/20002/3
Calculate the value mentally0.13/2 • 903/2
Calculate the value mentally0.22/3 • 402/3
Add or subtract, as indicated. Зх х x? +х — 12 х? — 16 - 16
Add or subtract, as indicated. 60 x2 – 2x + 4 x³ + 8 x +2
Add or subtract, as indicated. 12 4 х2 — х3 + 1 — х+ 1 x + 1
Add or subtract, as indicated. 5m т — 4 Зт — 4 4 — Зт
Add or subtract, as indicated. х+у 2х у — 2х 2х — у
Add or subtract, as indicated. 4 р -9 д-р
Add or subtract, as indicated. 3 a – 2 2 - a
Add or subtract, as indicated. т+1 т — 1 т — 1 т+1
Add or subtract, as indicated. 1 1 + x + z х — Z
Add or subtract, as indicated. 7x + 8 х+4 Зх + 2 Зх + 2
Add or subtract, as indicated. 17y + 3 9y + 7 -10y – 18 18 9y + 7
Add or subtract, as indicated. 2 18а3Ь? 9ab
Add or subtract, as indicated. 5 11 12x-у 6ху
Add or subtract, as indicated. 3 х .2 2.
Add or subtract, as indicated. a?
Add or subtract, as indicated. 9. 5 2p Зр 4p
Add or subtract, as indicated. 2 4 бт 5m т
Add or subtract, as indicated. 3 4p 5p
Add or subtract, as indicated. 5 3 2k 3k
Explain how to find the least common denominator of several fractions.
Which of the following rational expressions is equivalent to -1? In choices A, B, and D, x ≠-4, and in choice C, x ≠ 4. х — 4 A. х — 4 —х — 4 х — 4 B. C. D. х+ 4 х+ 4 4 — х
Multiply or divide, as indicated. аз — Ь3 2a? + 2ab + 2b? ac + ad + bc + bd a? – b2
Multiply or divide, as indicated. 4z + 4w + xz + wx xz – xw + 2yz – 2yw z2 – w2 16 – x?
Multiply or divide, as indicated. x2 – xy + y? x3 + y3 x2 – y? x? – 2xy + y² ' (x – y)* |(x – y)?
Multiply or divide, as indicated. x³ + y x3 – y x2 x² – y² y² .3 x² + 2xy +
Multiply or divide, as indicated. y? + y – 2. y2 + 3y + 2 Зу + 2 у2 + Зу — 4 у? + 4у + 3 y²
Multiply or divide, as indicated. т? + Зт + 2 m2 + 5m + 4 m2 + 5m + 6 т? + 10т + 24
Multiply or divide, as indicated. x2 + 2x – 24 x² – 8x + 15 x? + 2x – 15 x2 + 11x + 30
Multiply or divide, as indicated. p? – p – 12 p? – 9p + 20 p² – 2p – 15 p² – 8p + 16
Multiply or divide, as indicated. бr - 18 9r2 + 6r – 24 4r - 4r – 12 12r – 16
Multiply or divide, as indicated. a? – 9 4a + 12 a? – a – 20 2a – 10
Multiply or divide, as indicated. y3 + y2 49 y4 + y3
Multiply or divide, as indicated. x2 + x 25 ху +у
Multiply or divide, as indicated. 5m + 25 бт + 30 10 12
Multiply or divide, as indicated. 2k + 8 3k + 12 2.
Multiply or divide, as indicated. 5r2 8r3 9r3 бr
Multiply or divide, as indicated. 15p бр 9p? 10p?
Write each rational expression in lowest terms. y3 – 27 y - 3 – 3
Write each rational expression in lowest terms. x3 + 64 x + 4
Write each rational expression in lowest terms. бу? + 11у + 4 Зу? + 7у + 4
Write each rational expression in lowest terms. 8m? + 6т — 9 16т? — 9 2.
Write each rational expression in lowest terms. r2 – r – 6 r2 + r - 12
Write each rational expression in lowest terms. т? — 4т + 4 т? + m - 6
Write each rational expression in lowest terms. 20r + 10 30r + 15
Write each rational expression in lowest terms. 8k + 16 9k + 18
Write each rational expression in lowest terms. -8(4 – y) (y + 2)(y – 4)
Write each rational expression in lowest terms. 3(3 – t) (г+ 5)(г — 3)
Write each rational expression in lowest terms. 36y2 + 72y 9y2
Write each rational expression in lowest terms. 8x2 + 16х 4.x2
Use specific values for x and y to show that in general, 1/x + 1/y is not equivalent to 1/x + y.
Factor by any method.(x + y)3 - (x - y)3
The special products can be used to perform selected multiplications. On the left, we use (x + y)(x - y) = x2 - y2. On the right, (x - y)2 = x2 - 2xy + y2.Use special products to evaluate the
The special products can be used to perform selected multiplications. On the left, we use (x + y)(x - y) = x2 - y2. On the right, (x - y)2 = x2 - 2xy + y2.Use special products to evaluate the
Find the future value of the annuity.Is the sequence log 6, log 36, log 1296, log 1,679,616, . . . a geometric sequence?
Find the future value of the annuity.Suppose that a1, a2, a3, a4, a5, . . . is a geometric sequence. Is the sequence a1, a3, a5, . . . geometric?
Find the future value of the annuity.The screen here shows how the TI-84 Plus calculator computes the future value of the annuity described in Example 9. Use a calculator with this capability to
Find the future value of the annuity.Show that the formula for future value of an annuity gives the correct answer when compared to the solution in Example 9.
Find the future value of the annuity.To save for retirement, Mort put $3000 at the end of each year into an ordinary annuity for 20 yr at 1.5% annual interest. At the end of year 20, what was the
Find the future value of the annuity.Starting on his 40th birthday, Michael deposits $2000 per year in an Individual Retirement Account until age 65 (last payment at age 64). Find the total amount
Find the future value of the annuity.Refer to Exercise 84. Use the answer and recursion to find the balance after 7 yr.Exercise 84.There are payments of $1500 at the end of each year for 6 yr at
Find the future value of the annuity.Refer to Exercise 83. Use the answer and recursion to find the balance after 11 yr.Exercise 83.There are payments of $2430 at the end of each year for 10 yr at
Find the future value of the annuity.There are payments of $1500 at the end of each year for 6 yr at 0.5% interest compounded annually.
Find the future value of the annuity.There are payments of $2430 at the end of each year for 10 yr at 1% interest compounded annually.
Find the future value of the annuity.There are payments of $800 at the end of each year for 12 yr at 2% interest compounded annually.
Find the future value of each annuity.There are payments of $1000 at the end of each year for 9 yr at 3% interest compounded annually.
A genealogical Web site allows a person to identify all of her or his ancestors who lived during the last 300 yr. Assuming that each generation spans about 25 yr, guess the number of ancestors that
A student is offered a 6-week summer job and is asked to select one of the following salary options.Option 1: $5000 for the first day with a $10,000 raise each day for the remaining 29 days (that is,
In Exercise 77, if the process could be continued indefinitely, what would be the total perimeter of all the triangles? What would be the total area of all the triangles, disregarding the
A sequence of equilateral triangles is constructed. The first triangle has sides 2 m in length. To construct the second triangle, midpoints of the sides of the original triangle are connected. What
Certain medical conditions are treated with a fixed dose of a drug administered at regular intervals. Suppose a person is given 2 mg of a drug each day and that during each 24-hr period, the body
Each person has two parents, four grandparents, eight great grandparents, and so on. What is the total number of ancestors a person has, going back five generations? ten generations?
Alicia drops a ball from a height of 10 m and notices that on each bounce the ball returns to about 3/4 of its previous height. About how far will the ball travel before it comes to rest? दूम
A population of fruit flies is growing in such a way that each generation is 1.25 times as large as the last generation. Suppose there were 200 insects in the first generation. How many, to the
Each year a machine loses 20% of the value it had at the beginning of the year. Find the value of the machine at the end of 6 yr if it cost $100,000 new.
Suppose that a strain of bacteria will double in size and then divide every 40 minutes. Let a1 be the initial number of bacteria cells, a2 the number after 40 minutes, and an the number after 40(n -
Refer to Exercise 69. For someone who has a conservative investment strategy with n years to retirement, the geometric sequence is an = 1278(0.935)n.(a) Repeat part (a) of Exercise 69. (b)
According to T. Rowe Price Associates, a person with a moderate investment strategy and n years to retirement should have accumulated savings of an percent of his or her annual salary. The geometric
Use the summation feature of a graphing calculator to evaluate each sum. Round to the nearest thousandth. Σ3(0.25) i=4
Use the summation feature of a graphing calculator to evaluate each sum. Round to the nearest thousandth. 2(0.4). j=3
Use the summation feature of a graphing calculator to evaluate each sum. Round to the nearest thousandth. (3.6)/ j=1
Use the summation feature of a graphing calculator to evaluate the sum. Round to the nearest thousandth. 10 (1.4)' i=1 WI
Evaluate the sum. 00 i=1
Evaluate the sum. i=1
Evaluate the sum. i-1 i=1

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