Exam 8: Special Topics in Algebra

Graph the region that satisfies the constraints. -Bubba's Computer World sells personal computers. They want to try out a new advertising campaign with x one-minute spots on local television at a cost of $225 per minute, and y one-minute spots on radio, at a cost of $180 per minute. For the first phase of the campaign, the advertising director is given a budget of no more than $45,000 to spend on a maximum of 225 minutes of advertising.

(Multiple Choice)

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Question 161

Find the sum of the series, if possible. - $\sum _ { i = 1 } ^ { \infty } 3 \left( - \frac { 1 } { 4 } \right) ^ { i }$

(Multiple Choice)

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Question 162

Graph the circle. - $x ^ { 2 } + y ^ { 2 } = 9$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } = 9$

(Multiple Choice)

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Question 163

Evaluate the expression. - $\left( \begin{array} { l } 5 \\3\end{array} \right)$

(Multiple Choice)

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Question 164

Write the function without radicals by using fractional exponents. - $y = \sqrt [ 3 ] { x ^ { 2 } } - \sqrt { 7 x }$

(Multiple Choice)

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Question 165

Find the sum of the series, if possible. - $\sum _ { i = 1 } ^ { 5 } 4 ( - 3 ) ^ { i }$

(Multiple Choice)

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Question 166

Write four additional terms of the geometric sequence. -Find the 6th term of the geometric sequence with first term 4 and common ratio $- 3$ .

(Multiple Choice)

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Question 167

Find the sum of the first 5 terms of the geometric sequence with first term 1 and common ratio -3 .

(Multiple Choice)

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Question 168

Write the indicated term of the binomial expansion. - $( 2 x + 5 ) ^ { 5 }$ ; 5th term

(Multiple Choice)

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Question 169

Graph the solution set of the system of inequalities. -A company manufactures two types of lawn mowers, a gas-powered model and an electric model. It costs $98 to produce each of x gas-powered mowers and $104 to produce each of y electric mowers, and the company has At most $86,450 per month to use for production. Write the inequality that describes this constraint on monthly Production.

(Multiple Choice)

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Question 170

Write the binomial expansion of the expression. - $( 5 x - 1 ) ^ { 4 }$

(Multiple Choice)

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Question 171

Draw the graph of the equation. - $\frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 1$ $Draw the graph of the equation. - \frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 1$

(Multiple Choice)

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Question 172

Round your answer to the nearest cent. -Find the 6-year future value of an ordinary annuity with a contribution of $1800 every six months into an account that pays 3.8% per year, compounded semi-annually.

(Multiple Choice)

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Question 173

Find the sum of the first 6 terms of the arithmetic sequence 2, 4, 6, . . . .

(Multiple Choice)

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Question 174

Evaluate the expression. - $9 C _ { 5 }$

(Multiple Choice)

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Question 175

Find the first five terms of the sequence defined by the given general term. - $f ( n ) = 3 ^ { n }$

(Multiple Choice)

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Question 176

Draw the graph of the equation. - $49 x ^ { 2 } + 9 y ^ { 2 } = 441$ $Draw the graph of the equation. - 49 x ^ { 2 } + 9 y ^ { 2 } = 441$

(Multiple Choice)

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Question 177

Rewrite the expression as a sum, difference, or multiple of logarithms. - $\ln \frac { \sqrt [ 3 ] { 2 x + 10 } } { 7 x ^ { 2 } }$

(Multiple Choice)

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Question 178

Evaluate the derivative. - $f ^ { \prime } ( - 2 ) \text { if } f ^ { \prime } ( x ) = \left( x ^ { 2 } - 1 \right) ( 4 x ) + \left( b x ^ { 2 } + 1 \right) ( 2 x )$

(Multiple Choice)

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Question 179

Write four additional terms of the geometric sequence. - $6 , - 18,54 , \ldots$

(Multiple Choice)

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Question 180

Showing 161 - 180 of 265

Find the sum of the series, if possible. - $\sum _ { i = 1 } ^ { \infty } 3 \left( - \frac { 1 } { 4 } \right) ^ { i }$

Graph the circle. - $x ^ { 2 } + y ^ { 2 } = 9$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } = 9$

Evaluate the expression. - $\left( \begin{array} { l } 5 \\3\end{array} \right)$

Write the function without radicals by using fractional exponents. - $y = \sqrt [ 3 ] { x ^ { 2 } } - \sqrt { 7 x }$

Find the sum of the series, if possible. - $\sum _ { i = 1 } ^ { 5 } 4 ( - 3 ) ^ { i }$

Write four additional terms of the geometric sequence. -Find the 6th term of the geometric sequence with first term 4 and common ratio $- 3$ .

Find the sum of the first 5 terms of the geometric sequence with first term 1 and common ratio -3 .

Write the indicated term of the binomial expansion. - $( 2 x + 5 ) ^ { 5 }$ ; 5th term

Write the binomial expansion of the expression. - $( 5 x - 1 ) ^ { 4 }$

Draw the graph of the equation. - $\frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 1$ $Draw the graph of the equation. - \frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 1$

Round your answer to the nearest cent. -Find the 6-year future value of an ordinary annuity with a contribution of $1800 every six months into an account that pays 3.8% per year, compounded semi-annually.

Find the sum of the first 6 terms of the arithmetic sequence 2, 4, 6, . . . .

Evaluate the expression. - $9 C _ { 5 }$

Find the first five terms of the sequence defined by the given general term. - $f ( n ) = 3 ^ { n }$

Draw the graph of the equation. - $49 x ^ { 2 } + 9 y ^ { 2 } = 441$ $Draw the graph of the equation. - 49 x ^ { 2 } + 9 y ^ { 2 } = 441$

Rewrite the expression as a sum, difference, or multiple of logarithms. - $\ln \frac { \sqrt [ 3 ] { 2 x + 10 } } { 7 x ^ { 2 } }$

Evaluate the derivative. - $f ^ { \prime } ( - 2 ) \text { if } f ^ { \prime } ( x ) = \left( x ^ { 2 } - 1 \right) ( 4 x ) + \left( b x ^ { 2 } + 1 \right) ( 2 x )$

Write four additional terms of the geometric sequence. - $6 , - 18,54 , \ldots$

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

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Exam 8: Special Topics in Algebra

Find the sum of the series, if possible. - ∑i=1∞3(−14)i\sum _ { i = 1 } ^ { \infty } 3 \left( - \frac { 1 } { 4 } \right) ^ { i }∑i=1∞​3(−41​)i

Graph the circle. - x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9

Evaluate the expression. - (53)\left( \begin{array} { l } 5 \\3\end{array} \right)(53​)

Write the function without radicals by using fractional exponents. - y=x23−7xy = \sqrt [ 3 ] { x ^ { 2 } } - \sqrt { 7 x }y=3x2​−7x​

Find the sum of the series, if possible. - ∑i=154(−3)i\sum _ { i = 1 } ^ { 5 } 4 ( - 3 ) ^ { i }∑i=15​4(−3)i

Write four additional terms of the geometric sequence. -Find the 6th term of the geometric sequence with first term 4 and common ratio −3- 3−3 .

Find the sum of the first 5 terms of the geometric sequence with first term 1 and common ratio -3 .

Write the indicated term of the binomial expansion. - (2x+5)5( 2 x + 5 ) ^ { 5 }(2x+5)5 ; 5th term

Write the binomial expansion of the expression. - (5x−1)4( 5 x - 1 ) ^ { 4 }(5x−1)4

Draw the graph of the equation. - (x+6)225+(y−5)29=1\frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 125(x+6)2​+9(y−5)2​=1

Round your answer to the nearest cent. -Find the 6-year future value of an ordinary annuity with a contribution of $1800 every six months into an account that pays 3.8% per year, compounded semi-annually.

Find the sum of the first 6 terms of the arithmetic sequence 2, 4, 6, . . . .

Evaluate the expression. - 9C59 C _ { 5 }9C5​

Find the first five terms of the sequence defined by the given general term. - f(n)=3nf ( n ) = 3 ^ { n }f(n)=3n

Draw the graph of the equation. - 49x2+9y2=44149 x ^ { 2 } + 9 y ^ { 2 } = 44149x2+9y2=441

Rewrite the expression as a sum, difference, or multiple of logarithms. - ln⁡2x+1037x2\ln \frac { \sqrt [ 3 ] { 2 x + 10 } } { 7 x ^ { 2 } }ln7x232x+10​​

Evaluate the derivative. - f′(−2) if f′(x)=(x2−1)(4x)+(bx2+1)(2x)f ^ { \prime } ( - 2 ) \text { if } f ^ { \prime } ( x ) = \left( x ^ { 2 } - 1 \right) ( 4 x ) + \left( b x ^ { 2 } + 1 \right) ( 2 x )f′(−2) if f′(x)=(x2−1)(4x)+(bx2+1)(2x)

Write four additional terms of the geometric sequence. - 6,−18,54,…6 , - 18,54 , \ldots6,−18,54,…

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Filters

Find the sum of the series, if possible. - $\sum _ { i = 1 } ^ { \infty } 3 \left( - \frac { 1 } { 4 } \right) ^ { i }$

Graph the circle. - $x ^ { 2 } + y ^ { 2 } = 9$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } = 9$

Evaluate the expression. - $\left( \begin{array} { l } 5 \\3\end{array} \right)$

Write the function without radicals by using fractional exponents. - $y = \sqrt [ 3 ] { x ^ { 2 } } - \sqrt { 7 x }$

Find the sum of the series, if possible. - $\sum _ { i = 1 } ^ { 5 } 4 ( - 3 ) ^ { i }$

Write four additional terms of the geometric sequence. -Find the 6th term of the geometric sequence with first term 4 and common ratio $- 3$ .

Write the indicated term of the binomial expansion. - $( 2 x + 5 ) ^ { 5 }$ ; 5th term

Write the binomial expansion of the expression. - $( 5 x - 1 ) ^ { 4 }$

Draw the graph of the equation. - $\frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 1$ $Draw the graph of the equation. - \frac { ( x + 6 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 9 } = 1$

Evaluate the expression. - $9 C _ { 5 }$

Find the first five terms of the sequence defined by the given general term. - $f ( n ) = 3 ^ { n }$

Draw the graph of the equation. - $49 x ^ { 2 } + 9 y ^ { 2 } = 441$ $Draw the graph of the equation. - 49 x ^ { 2 } + 9 y ^ { 2 } = 441$

Rewrite the expression as a sum, difference, or multiple of logarithms. - $\ln \frac { \sqrt [ 3 ] { 2 x + 10 } } { 7 x ^ { 2 } }$

Evaluate the derivative. - $f ^ { \prime } ( - 2 ) \text { if } f ^ { \prime } ( x ) = \left( x ^ { 2 } - 1 \right) ( 4 x ) + \left( b x ^ { 2 } + 1 \right) ( 2 x )$

Write four additional terms of the geometric sequence. - $6 , - 18,54 , \ldots$