Rational

Problem 1201

Question Translate and solve: The difference of $f$ and $\frac{1}{3}$ is $\frac{2}{3}$ .

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Problem 1202

Solve for all values of $x$ : $\frac{1}{x-1}-2=\frac{x}{x-1}$

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Problem 1203

Solve for all values of $x$ : $-1-\frac{x}{x-1}=-\frac{1}{x-1}$
Answer Attempt 1 out of 2

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Problem 1204

Question
Consider the graph of the function $f(x)=\frac{x^{3}-6 x^{2}+8 x}{x^{2}-2 x-8}$ . Which is a removable discontinuity for the graph? Select all that apply.

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Problem 1205

Question 9
Solve the proportion. If necessary, round to the nearest hundredth. $\begin{array}{l} \frac{18}{26}=\frac{3}{g+4} \\ g= \end{array}$

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Problem 1206

1. NO CALCULATOR
This expression is used to calculate the taxes on Marta's monthly earnings, where $c$ represents the commission on her sales. Which expression is equivalent? $\frac{1}{3}(1650+0.15 c)$
$1,650.33+0.48 c$ $550+0.15 c$ $550+0.05 c$ $4,950+0.45 c$

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Problem 1207

26.
Simplify the expression $\frac{6 n^{2}+36 n^{2}}{6 n^{3}-54 n^{2}}$ . A. $\frac{2}{3}$ $\equiv \quad \frac{2}{3} n \neq 0$ c. $\frac{n 16}{n-9}, n \neq 0$ $2 \frac{n+6}{n-9}, n \neq 9$

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Problem 1208

11. The partial fractional decomposition of the expression $\frac{3 x^{2}-2 x+1}{x^{4}-16}$ is (a) $\frac{A}{x+2}+\frac{B}{x-2}+\frac{C}{x^{2}+4}$ . (b) $\frac{A}{x+2}+\frac{B}{x-2}+\frac{C x+D}{x^{2}+4}$ . (c) $\frac{A x+B}{x^{2}-4}+\frac{C x+D}{x^{2}+4}$ . (d) $\frac{B}{x+2}+\frac{B}{x-2}+\frac{C}{(x+2)^{2}}+\frac{D}{(x-2)^{2}}$ . (e) $\frac{A+B x+C x^{2}+D x^{3}}{x^{4}-16}$ .

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Problem 1209

Simplify $\frac{5}{2 a+b}+\frac{5}{2 a-b}$

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Problem 1210

Find the vertical asymptotes of the function $f(x) = \frac{2}{x^2 + x - 3}$ .

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Problem 1211

Exercice 6 (3pts) Décomposer les fractions rationnelles suivantes; $f(x)=\frac{x}{x^{2}-4} \quad ; \quad g(x)=\frac{2 x^{3}+x^{2}-x+1}{x^{2}-2 x+1} \quad \text { et } h(x)=\frac{x^{5}+x^{4}+1}{x^{3}-x}$

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Problem 1212

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

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Problem 1213

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

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Problem 1214

Give the equation of the oblique asymptote, if any, of the function. $f(x)=\frac{x^{2}-7}{49 x-x^{4}}$

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Problem 1215

Solve for w. 5 8 4 7 M 2 Simplify your answer as much as possible. W = ☐ Go X G

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Problem 1216

Find the $x$ -values (if any) at which $f$ is not continuous. State whether the discontinuities are removable or nonremovable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) $f(x)=\frac{x+2}{x^{2}-2 x-8}$ removable discontinuities $x=$ $\square$ nonremovable discontinuities $\quad x=$ $\square$

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Problem 1217

1) Determina dominio intersezioni con gli assi e segno della funzione $y=\frac{1}{x^{3}-10 x^{2}+25 x}$ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

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Problem 1218

4) Individua quali fra i seguenti punti non appartengono al grafico della funzione $f(x)=\frac{1-x^{2}}{x}$ [a] $(1 ; 0)$ (b) $(0 ; 1)$ [C] $\left(-2 ; \frac{3}{2}\right)$ (motiva la risposta) [i] $(-1 ; 0)$ [e) $\left(-3 ;-\frac{10}{3}\right)$

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Problem 1219

4) Individua quali fra i seguenti punti non appartengono al grafico della funzione $f(x)=\frac{1-x^{2}}{x}$ [a] $(1 ; 0)$ $5(0 ; 1)$ E $\left(-2 ; \frac{3}{2}\right)$ (motiva la risposta) [] $(-1 ; 0)$ [e $\left(-3 ;-\frac{10}{3}\right)$

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Problem 1220

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

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Problem 1221

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

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Problem 1222

1 Multiple Choice
1 point Add or subtract. $\frac{5}{x-2}+\frac{3}{x-5}$ $\frac{8 x+31}{(x-2)(x-5)}$ $\frac{-8 x-31}{(x-2)(x-5)}$ $\frac{8 x}{(x-2)(x-5)}$ $\frac{8 x-31}{(x-2)(x-5)}$

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Problem 1223

(10) $\frac{2}{x^{2}-x}=\frac{1}{x-1}$

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Problem 1224

6. $-\frac{4}{22} t-\frac{5}{22} t+15+(-5)$

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Problem 1225

Perform the operation and combine to one fraction. $\frac{2 x+1}{x}+\frac{5 x}{x+9}$

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Problem 1226

4 Fill in the Blank 1 point Simplify the expression by filling in the blank. $\frac{5 x-y}{20 y}+\frac{x+y}{20 y}$ type your answer... / type your answer...

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Problem 1227

ve the following equation for $d$ . Be sure to take into account whether a letter $\frac{Q}{R}=\frac{8}{d}$

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Problem 1228

5.) If I decrease a number by $62 \%$ , what $\%$ do you need to apply to the result to get back to your original number?

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Problem 1229

(2) $c+\frac{1}{2}=\frac{4}{8}$

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Problem 1230

Solve the proportion.
16. $\frac{5}{6}=\frac{15}{4 x}$
17. $\frac{8}{12}=\frac{71.5}{x}$
18. $\frac{6}{13}=\frac{t+4}{18}$

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Problem 1231

6. What are the vertical asymptotes of the following funct $f(x)=\frac{-5(x+5)^{2}(x+2)(x-4)}{2(2 x-1)(x-3)(x+2)(x-4)}$

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Problem 1232

Solve for in. $\frac{1 y}{12}=\frac{6}{8}$
Simnilix your answer as much as possible. $\mathrm{w}=$

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Problem 1233

Solve the equation for $x$ . $\frac{3}{10} x-\frac{4}{5}=-2$

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Problem 1234

Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of $f(x)=\frac{-13 x}{(x-2)^{2}}$ .
What are the intercepts, if any? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The $x$ -intercept(s) is(are) $x=0$ . The $y$ -intercept is $y=0$ . (Use a comma to separate answers as needed.) B. There are no $x$ -intercepts. The $y$ -intercept is $y=$ $\square$ C. The $x$ -intercept(s) is(are) $x=$ $\square$ There is no $y$ -intercept. (Use a comma to separate answers as needed.) D. There are no $x$ -intercepts. There is no $y$ -intercept.
What are the vertical asymptotes, if any? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Simplify your answer. Use a comma to separate answers as needed.) B. There are no vertical asymptotes.

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Problem 1235

Solve for $t$ in the proportion. $\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}$

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Problem 1236

5. Find the domain of the function: $f(x)=\frac{x-6}{(x+4)(x-8)}$ $(-4, \infty)$ $(-4,8) \cup(-8, \propto$ $(-\infty,-4) \cup(-4$ $(-\infty,-4) \cup(-4$ ,
Clear All

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Problem 1237

1. An electrician wishes to cut a nichrome wire $\left(p=1.00 \times 10^{-6} \Omega \cdot m\right)$ that has $10.0 \Omega$ of resistance. The wire has a cross-sectional area of $1.65 \times 10^{-8} \mathrm{~m}^{2}$ . Approximately what length of wire has a resistance equal to $10.0 \Omega$ ? (3)

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Problem 1238

Solve for $x$ . $\frac{3}{x+2}-\frac{2^{\frac{1}{2}}}{x-1}=\frac{7}{x^{2}+x-2}$

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Problem 1239

Find the equation of the vertical asympiote and the equation of the slant asymptote of the rational function. $f(x)=\frac{-21 x^{2}-38 x-13}{-3 x-5}$
The equation of the vertical asymptote is $x=$ $\square$ The equation of the slant asymptote is $y=$ $\square$

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Problem 1240

Find the horizontal asymptote of the function below. $f(b)=\frac{5 b^{5}+8 b+1}{8 b^{3}-7}$

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Problem 1241

13) $\frac{4 v-6}{v^{2}}=\frac{1}{v^{2}}-\frac{1}{v}$

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Problem 1242

19) $\frac{2 m^{3} n^{2}}{4 m^{4} n^{3}}$ A) $-\frac{4 m^{4}}{3 n^{4}}$ B) $\frac{1}{2 m n}$ C) $m^{2} n$ D) $-\frac{4}{3 m n^{3}}$

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Problem 1243

A Wattmeter indicates that 469 watts of power is used byla eight horsepower electric motor (induction load), when it is connected to 215 volts and operates at 24 amps . What is the approximate power factor for this motor? Information: Voltage $=$ Amperage $\times$ Resistance Wattage of Induction Load $=$ Voltage $\times$ Amperage $\times$ Power Factor a. 0.74 power factor b. 0.91 power factor c. $\quad 1.09$ power factor d. 8.95 power factor

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Problem 1244

After it snows, it takes Maria and her little sister Anita $\frac{1}{2}$ of an hour to shovel the snow off of the sidewalks on their street. This is $\frac{2}{3}$ of the time it takes Maria to do the same job by herself.
How long does it take Maria do this job by herself?

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Problem 1245

Find the vertical asymptotes and the nonvertical asymptotes for the graph of the function. Do not sketch the graph. $f(x)=\frac{7 x-9}{x-7}$
If there are any vertical asymptotes, what are they? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The vertical asymptote(s) is/are $x=$ $\square$ . (Simplify your answer. Use a comma to separate answers as needed.) B. There are no vertical asymptotes.

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Problem 1246

QUESTION 7
What is the sum of all the solutions of the equation $\frac{x-1}{x+1}+\frac{4}{x-1}=\frac{5}{2}$ ?
A 0 C $\frac{4}{3}$ B $\frac{2}{3}$ D 2 a) b) c) d)

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Problem 1247

$\frac{6}{5 x}-\frac{1}{x+1}=\frac{3}{2 x^{2}+2 x}$ A) $x=3$ B) $x=\frac{3}{2}$ C) $x=\frac{3}{10}$ D) No solution
d)

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Problem 1248

Question? Find the asymptotes of $f(x)=\frac{x+4}{x^{2}+9 x+20}$ .
Horizontal asymptote at $y=1$ , vertical asy mptotes at $x=4, x=5$
Horizontal asymptote at $y=1$ , vertical asymptote at $x=-4$

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Problem 1249

Fill in all necessary information from the given function. 1.

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Problem 1250

Find the horizontal asymptote, if any, of the graph of the rational function. $h(x)=\frac{11 x^{3}}{5 x^{2}+8}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choi A. The horizontal asymptote is $\square$ . (Type an equation.) B. There is no horizontal asymptote.

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Problem 1251

Find the horizontal asymptote, if any, of the graph of the rational function. $f(x)=\frac{-6 x+7}{5 x+4}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The horizontal asymptote is $\square$ . (Type an equation. Simplify your answer. Use integers or fractions for any numbers in the equation.) B. There is no horizontal asymptote.

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Problem 1252

Rational Functions, Equations, and Inequalities
NAME $\qquad$ Williams 0.
DATE : 181 1212024 $\qquad$ K $1 / 16$ T 15 c 14 A 112 1) For each function, identify the location of the hole (if applicable), the equation(s) of the vertical asymptote(s) and the equation of the horizontal asymptote. (a) $f(x)=\frac{x+1}{x^{2}+x}$ (b) $g(x)=\frac{x^{2}+4 x+4}{x^{2}-4}$ [K-6]

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Problem 1253

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

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Problem 1254

What is the simplified form of $\frac{y^{2}+7 y+12}{y^{2}-2 y-15} ?$ $\frac{y-4}{y-5}$ $\frac{y-4}{y+5}$ $\frac{y+4}{y-5}$ $\frac{y+4}{y+5}$

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Problem 1255

Question 8 (1 point) Which of the following functions has exactly one vertical asymptote when graphed? A) $f(x)=\frac{6}{x^{2}-3 x}$ B) $f(x)=\frac{6 x}{x^{2}-3 x}$ C) $f(x)=\frac{6 x^{2}-18 x}{x}$ D) B and C

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Problem 1256

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 55:23
Margo spends a quarter of her paycheck on a new dress, $\frac{1}{8}$ of her paycheck on shoes, and $\$ 24$ on a birthday present. If she spent $\$ 60$ altogether, how much was Margo's paycheck? $\$ 96$ \$160 \$216 \$504

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Problem 1257

(2) Find the points of discontinuity of the function $\frac{x^{2}-3 x-4}{x^{3}-2 x^{2}-5 x+6}$

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Problem 1258

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

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Problem 1259

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

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Problem 1260

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

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1 ...10 11 12 13

Rational

Problem 1201

Question Translate and solve: The difference of fff and 13\frac{1}{3}31​ is 23\frac{2}{3}32​.

Problem 1202

Solve for all values of xxx : 1x−1−2=xx−1\frac{1}{x-1}-2=\frac{x}{x-1}x−11​−2=x−1x​

Problem 1203

Solve for all values of xxx : −1−xx−1=−1x−1-1-\frac{x}{x-1}=-\frac{1}{x-1}−1−x−1x​=−x−11​Answer Attempt 1 out of 2

Problem 1204

QuestionConsider the graph of the function f(x)=x3−6x2+8xx2−2x−8f(x)=\frac{x^{3}-6 x^{2}+8 x}{x^{2}-2 x-8}f(x)=x2−2x−8x3−6x2+8x​. Which is a removable discontinuity for the graph? Select all that apply.

Problem 1205

Question 9Solve the proportion. If necessary, round to the nearest hundredth. 1826=3g+4g=\begin{array}{l} \frac{18}{26}=\frac{3}{g+4} \\ g= \end{array}2618​=g+43​g=​

Problem 1206

Problem 1207

Problem 1208

Problem 1209

Simplify 52a+b+52a−b\frac{5}{2 a+b}+\frac{5}{2 a-b}2a+b5​+2a−b5​

Problem 1210

Find the vertical asymptotes of the function f(x)=2x2+x−3 f(x) = \frac{2}{x^2 + x - 3} f(x)=x2+x−32​.

Problem 1211

Problem 1212

Evaluate the expression for h=−9h=-9h=−9 and j=8j=8j=8. Simplify your answer. jh+j=\frac{j}{h+j}=h+jj​= □\square□ Submit

Problem 1213

Evaluate the expression for h=−9h=-9h=−9 and j=8j=8j=8. Simplify your answer. jh+j=\frac{j}{h+j}=h+jj​= □\square□ Submit

Problem 1214

Give the equation of the oblique asymptote, if any, of the function. f(x)=x2−749x−x4f(x)=\frac{x^{2}-7}{49 x-x^{4}}f(x)=49x−x4x2−7​

Problem 1215

Solve for w. 5 8 4 7 M 2 Simplify your answer as much as possible. W = ☐ Go X G

Problem 1216

Problem 1217

1) Determina dominio intersezioni con gli assi e segno della funzione y=1x3−10x2+25xy=\frac{1}{x^{3}-10 x^{2}+25 x}y=x3−10x2+25x1​ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

Problem 1218

Problem 1219

Problem 1220

4) Jack is a freshman attending a 4 -year college. He has been approved for an $8,900\$ 8,900$8,900 subsidized federal loan at 4.75%4.75 \%4.75% for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

Problem 1221

6. For each equation below, find the value(s) of xxx that mmm (Lesson 2-18) a. 10=1+7x7+x10=\frac{1+7 x}{7+x}10=7+x1+7x​ b. 0.2=6+2x12+x0.2=\frac{6+2 x}{12+x}0.2=12+x6+2x​ c. 0.8=x0.5+x0.8=\frac{x}{0.5+x}0.8=0.5+xx​ d. 3.5=4+2x0.5−x3.5=\frac{4+2 x}{0.5-x}3.5=0.5−x4+2x​

Problem 1222

Problem 1223

(10) 2x2−x=1x−1\frac{2}{x^{2}-x}=\frac{1}{x-1}x2−x2​=x−11​

Problem 1224

6. −422t−522t+15+(−5)-\frac{4}{22} t-\frac{5}{22} t+15+(-5)−224​t−225​t+15+(−5)

Problem 1225

Perform the operation and combine to one fraction. 2x+1x+5xx+9\frac{2 x+1}{x}+\frac{5 x}{x+9}x2x+1​+x+95x​

Problem 1226

4 Fill in the Blank 1 point Simplify the expression by filling in the blank. 5x−y20y+x+y20y\frac{5 x-y}{20 y}+\frac{x+y}{20 y}20y5x−y​+20yx+y​ type your answer... / type your answer...

Problem 1227

ve the following equation for ddd. Be sure to take into account whether a letter QR=8d\frac{Q}{R}=\frac{8}{d}RQ​=d8​

Problem 1228

5.) If I decrease a number by 62%62 \%62%, what %\%% do you need to apply to the result to get back to your original number?

Problem 1229

(2) c+12=48c+\frac{1}{2}=\frac{4}{8}c+21​=84​

Problem 1230

Solve the proportion.16. 56=154x\frac{5}{6}=\frac{15}{4 x}65​=4x15​17. 812=71.5x\frac{8}{12}=\frac{71.5}{x}128​=x71.5​18. 613=t+418\frac{6}{13}=\frac{t+4}{18}136​=18t+4​

Problem 1231

6. What are the vertical asymptotes of the following funct f(x)=−5(x+5)2(x+2)(x−4)2(2x−1)(x−3)(x+2)(x−4)f(x)=\frac{-5(x+5)^{2}(x+2)(x-4)}{2(2 x-1)(x-3)(x+2)(x-4)}f(x)=2(2x−1)(x−3)(x+2)(x−4)−5(x+5)2(x+2)(x−4)​

Problem 1232

Solve for in. 1y12=68\frac{1 y}{12}=\frac{6}{8}121y​=86​Simnilix your answer as much as possible. w=\mathrm{w}=w=

Problem 1233

Solve the equation for xxx. 310x−45=−2\frac{3}{10} x-\frac{4}{5}=-2103​x−54​=−2

Problem 1234

Problem 1235

Solve for ttt in the proportion. 813.5=t16.2t=□\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}13.58​=16.2t​t=□​

Problem 1236

Problem 1237

Problem 1238

Solve for xxx. 3x+2−212x−1=7x2+x−2\frac{3}{x+2}-\frac{2^{\frac{1}{2}}}{x-1}=\frac{7}{x^{2}+x-2}x+23​−x−1221​​=x2+x−27​

Problem 1239

Problem 1240

Find the horizontal asymptote of the function below. f(b)=5b5+8b+18b3−7f(b)=\frac{5 b^{5}+8 b+1}{8 b^{3}-7}f(b)=8b3−75b5+8b+1​

Problem 1241

13) 4v−6v2=1v2−1v\frac{4 v-6}{v^{2}}=\frac{1}{v^{2}}-\frac{1}{v}v24v−6​=v21​−v1​

Problem 1242

19) 2m3n24m4n3\frac{2 m^{3} n^{2}}{4 m^{4} n^{3}}4m4n32m3n2​ A) −4m43n4-\frac{4 m^{4}}{3 n^{4}}−3n44m4​ B) 12mn\frac{1}{2 m n}2mn1​ C) m2nm^{2} nm2n D) −43mn3-\frac{4}{3 m n^{3}}−3mn34​

Problem 1243

Problem 1244

After it snows, it takes Maria and her little sister Anita 12\frac{1}{2}21​ of an hour to shovel the snow off of the sidewalks on their street. This is 23\frac{2}{3}32​ of the time it takes Maria to do the same job by herself.How long does it take Maria do this job by herself?

Problem 1245

Problem 1246

QUESTION 7What is the sum of all the solutions of the equation x−1x+1+4x−1=52\frac{x-1}{x+1}+\frac{4}{x-1}=\frac{5}{2}x+1x−1​+x−14​=25​ ?A 0 C 43\frac{4}{3}34​ B 23\frac{2}{3}32​ D 2 a) b) c) d)

Problem 1247

Question Translate and solve: The difference of $f$ and $\frac{1}{3}$ is $\frac{2}{3}$ .

Solve for all values of $x$ : $\frac{1}{x-1}-2=\frac{x}{x-1}$

Solve for all values of $x$ : $-1-\frac{x}{x-1}=-\frac{1}{x-1}$
Answer Attempt 1 out of 2

Question
Consider the graph of the function $f(x)=\frac{x^{3}-6 x^{2}+8 x}{x^{2}-2 x-8}$ . Which is a removable discontinuity for the graph? Select all that apply.

Question 9
Solve the proportion. If necessary, round to the nearest hundredth. $\begin{array}{l} \frac{18}{26}=\frac{3}{g+4} \\ g= \end{array}$

Simplify $\frac{5}{2 a+b}+\frac{5}{2 a-b}$

Find the vertical asymptotes of the function $f(x) = \frac{2}{x^2 + x - 3}$ .

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

Give the equation of the oblique asymptote, if any, of the function. $f(x)=\frac{x^{2}-7}{49 x-x^{4}}$

1) Determina dominio intersezioni con gli assi e segno della funzione $y=\frac{1}{x^{3}-10 x^{2}+25 x}$ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

(10) $\frac{2}{x^{2}-x}=\frac{1}{x-1}$

6. $-\frac{4}{22} t-\frac{5}{22} t+15+(-5)$

Perform the operation and combine to one fraction. $\frac{2 x+1}{x}+\frac{5 x}{x+9}$

4 Fill in the Blank 1 point Simplify the expression by filling in the blank. $\frac{5 x-y}{20 y}+\frac{x+y}{20 y}$ type your answer... / type your answer...

ve the following equation for $d$ . Be sure to take into account whether a letter $\frac{Q}{R}=\frac{8}{d}$

5.) If I decrease a number by $62 \%$ , what $\%$ do you need to apply to the result to get back to your original number?

(2) $c+\frac{1}{2}=\frac{4}{8}$

Solve the proportion.
16. $\frac{5}{6}=\frac{15}{4 x}$
17. $\frac{8}{12}=\frac{71.5}{x}$
18. $\frac{6}{13}=\frac{t+4}{18}$

6. What are the vertical asymptotes of the following funct $f(x)=\frac{-5(x+5)^{2}(x+2)(x-4)}{2(2 x-1)(x-3)(x+2)(x-4)}$

Solve for in. $\frac{1 y}{12}=\frac{6}{8}$
Simnilix your answer as much as possible. $\mathrm{w}=$

Solve the equation for $x$ . $\frac{3}{10} x-\frac{4}{5}=-2$

Solve for $t$ in the proportion. $\begin{array}{l} \frac{8}{13.5}=\frac{t}{16.2} \\ t=\square \end{array}$

Solve for $x$ . $\frac{3}{x+2}-\frac{2^{\frac{1}{2}}}{x-1}=\frac{7}{x^{2}+x-2}$

Find the horizontal asymptote of the function below. $f(b)=\frac{5 b^{5}+8 b+1}{8 b^{3}-7}$

13) $\frac{4 v-6}{v^{2}}=\frac{1}{v^{2}}-\frac{1}{v}$

19) $\frac{2 m^{3} n^{2}}{4 m^{4} n^{3}}$ A) $-\frac{4 m^{4}}{3 n^{4}}$ B) $\frac{1}{2 m n}$ C) $m^{2} n$ D) $-\frac{4}{3 m n^{3}}$

After it snows, it takes Maria and her little sister Anita $\frac{1}{2}$ of an hour to shovel the snow off of the sidewalks on their street. This is $\frac{2}{3}$ of the time it takes Maria to do the same job by herself.
How long does it take Maria do this job by herself?

QUESTION 7
What is the sum of all the solutions of the equation $\frac{x-1}{x+1}+\frac{4}{x-1}=\frac{5}{2}$ ?
A 0 C $\frac{4}{3}$ B $\frac{2}{3}$ D 2 a) b) c) d)

$\frac{6}{5 x}-\frac{1}{x+1}=\frac{3}{2 x^{2}+2 x}$ A) $x=3$ B) $x=\frac{3}{2}$ C) $x=\frac{3}{10}$ D) No solution
d)

Question? Find the asymptotes of $f(x)=\frac{x+4}{x^{2}+9 x+20}$ .
Horizontal asymptote at $y=1$ , vertical asy mptotes at $x=4, x=5$
Horizontal asymptote at $y=1$ , vertical asymptote at $x=-4$

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

What is the simplified form of $\frac{y^{2}+7 y+12}{y^{2}-2 y-15} ?$ $\frac{y-4}{y-5}$ $\frac{y-4}{y+5}$ $\frac{y+4}{y-5}$ $\frac{y+4}{y+5}$

Question 8 (1 point) Which of the following functions has exactly one vertical asymptote when graphed? A) $f(x)=\frac{6}{x^{2}-3 x}$ B) $f(x)=\frac{6 x}{x^{2}-3 x}$ C) $f(x)=\frac{6 x^{2}-18 x}{x}$ D) B and C

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 55:23
Margo spends a quarter of her paycheck on a new dress, $\frac{1}{8}$ of her paycheck on shoes, and $\$ 24$ on a birthday present. If she spent $\$ 60$ altogether, how much was Margo's paycheck? $\$ 96$ \$160 \$216 \$504

(2) Find the points of discontinuity of the function $\frac{x^{2}-3 x-4}{x^{3}-2 x^{2}-5 x+6}$

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$