Math Statement

Problem 21201

Divide the polynomial $-8 x^{3}-12 x^{2}+16 x+20$ by $4 x+4$ and express the result as a quotient.

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Problem 21202

Calculate: $6+\left(\frac{7}{3} \times 9\right)$

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Problem 21203

Find the real zeros of the polynomial $f(x)=x^{4}+10 x^{3}-20 x^{2}-90 x+99$ and factor it over the reals.

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Problem 21204

Calculate $\left(\frac{2}{5}+4\right)+\frac{3}{5} \times 20$ .

See Solution

Problem 21205

Find the value of $\sqrt{20}$ .

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Problem 21206

Simplify the expression: $\frac{-10 x^{3}+19 x^{2}+21 x-15}{2 x-5}$ .

See Solution

Problem 21207

Find the instantaneous rate of change of $R(t)=240+30 t^{3}$ at $t=1$ . Answer: $R^{\prime}(1)=90$ dollars/day.

See Solution

Problem 21208

Solve for $b$ in the equation $\frac{2}{8}=-\frac{b}{6}$ .

See Solution

Problem 21209

Evaluate the integral: $\int_{0}^{1} 6 \frac{\ln (x)}{\sqrt[3]{x}} d x$

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Problem 21210

Simplify the expression: $5 \sqrt{2} \cdot 9 \sqrt{6}$ . What is the result? A. $90 \sqrt{3}$ B. $45 \sqrt{3}$ C. $45 \sqrt{2}$ D. 90

See Solution

Problem 21211

What is the simplified form of $5 \sqrt{2} \cdot 9 \sqrt{6}$ ? A. $90 \sqrt{3}$ B. $45 \sqrt{3}$ C. $45 \sqrt{2}$ D. 90

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Problem 21212

Solve the equation $x^{4}-2 x^{3}+6 x^{2}-18 x-27=0$ . Find real solutions or state none exist.

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Problem 21213

Identify the justification for each step in the equation transformation from $5(x-1)=4x+13$ to $x=18$ .

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Problem 21214

Calculate $s$ using $u=12$ , $a=10$ , and $t=4$ : $s=u t+\frac{1}{2} a t^{2}$ .

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Problem 21215

Choose the expressions that equal $\frac{2}{3}$ when multiplied.
1. $\frac{21}{25} \times \frac{50}{63}$
2. $\frac{7}{8} \times \frac{9}{25}$
3. $\frac{1}{30} \times \frac{2}{3}$
4. $\frac{20}{27} \times \frac{27}{30}$
5. $\frac{3}{25} \times \frac{7}{12}$

See Solution

Problem 21216

Find the real solutions of the equation $2 x^{3}+x^{2}-8 x+3=0$ . Choose A or B for the solution set.

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Problem 21217

Find the inverse of the function $f(x)=8x+11$ .

See Solution

Problem 21218

Multiply $5 \frac{1}{2}$ by $3 \frac{3}{4}$ .

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Problem 21219

Calculate the expression: $\frac{30\left((0.1)^{3}+3 \times 1 \times 0.1 \times 1.1\right)}{1}$ .

See Solution

Problem 21220

Find the real solutions for the equation: $5 x^{3}+8 x^{2}-9 x+2=0$ . Choose A (list solutions) or B (no solutions).

See Solution

Problem 21221

Solve the equation $5x - 10 = -40$ and justify each step.

See Solution

Problem 21222

Multiply the mixed numbers: $3 \frac{1}{4} \times 2 \frac{5}{6}$ .

See Solution

Problem 21223

Calculate the product of $\frac{3}{8}$ and $\frac{4}{27}$ .

See Solution

Problem 21224

Find the inverse of $f(x)=x^{2}-6$ for $x \geq 0$ .

See Solution

Problem 21225

Calculate $h(-67)$ for $h(x)=-49x-125$ . Choose from A. $-3,408$ , B. -1.18, C. 3,283, D. 3,158.

See Solution

Problem 21226

Solve the inequality: $2-3(x+4)>17$ .

See Solution

Problem 21227

Find the real solutions of the equation $3x^{3} + x^{2} - 13x + 5 = 0$ . What is the solution set?

See Solution

Problem 21228

Find the range of the inverse function for $f(x)=(x+1)^{2}-1$ where $x \leq -1$ .

See Solution

Problem 21229

Find the range of the inverse function of $f(x)=(x+1)^{2}-1$ for $x \leq -1$ .

See Solution

Problem 21230

Solve for real solutions of $2x - 39x^3 + 193x^2 - 321x + 117 = 0$ . A. $x=$ (exact answer) B. No real solutions.

See Solution

Problem 21231

Find the intersection of the lines $f(x)=2x+3$ and $g(x)=-4x-27$ . Choose the correct point: A. $(-5,-10)$ B. $(5,-7)$ C. $(-5,-7)$ D. $(5,13)$ .

See Solution

Problem 21232

Check if the points (1,0), (8,4), (0,9), and (-10,-1) meet these inequalities: $y > -\frac{2}{5} x + 6$ and $y > \frac{2}{3} x + 3$ .

See Solution

Problem 21233

Find the inverse of the function $f(x)=5x+3$ .

See Solution

Problem 21234

Find the other zeros of the function $f(x)=x^{3}-4 x^{2}+25 x-100$ given the zero $-5i$ .

See Solution

Problem 21235

Find the inverse of the function $f(x)=\frac{2x-3}{7x-8}$ .

See Solution

Problem 21236

Find the complex zeros of the polynomial $f(x)=x^{3}-11 x^{2}+43 x-65$ and write it in factored form.

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Problem 21237

Check if the points (7,-3), (5,5), (-2,1), and (-7,8) meet these inequalities: 1. $y = -x + 3$ 2. $y > \frac{1}{4}x + 3$

See Solution

Problem 21238

Find the complex zeros of the polynomial $f(x)=x^{3}-13 x^{2}+59 x-87$ and write it in factored form.

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Problem 21239

When $5x=15$ , find the value of $12x$ .

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Problem 21240

Find the real solutions for the equation $5 x^{3}+7 x^{2}-11 x+3=0$ . Choose A or B for the solution set.

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Problem 21241

Solve the inequality: $-3(4+2 x)<18$ .

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Problem 21242

Find $s$ using the formula $s=u t+\frac{1}{2} a t^{2}$ with $u=5.2$ , $t=7$ , and $a=1.6$ .

See Solution

Problem 21243

Solve the inequality: $10 < -2x - 5x - 4$ .

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Problem 21244

Find the domain of the function $R(x)=\frac{11 x}{x+2}$ . Is it A. $x \neq -2$ or B. all real numbers?

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Problem 21245

Calculate the sum: $\sum_{i=1}^{8} (2i + 1)$ .

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Problem 21246

Solve the inequality: $2 - 3(x + 4) < 17$ .

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Problem 21247

Solve for $y$ : $6\left(y-\frac{1}{3}\right)=4(3y-5)$ . What is $y$ ?

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Problem 21248

Solve for $a$ : $3a + 1 > \frac{-7a - 14}{-4}$ . Determine the valid ranges for $a$ .

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Problem 21249

Subtract: $(6f^2 - 9f + 10) - (-2f^2 - f + 3)$ . What is the result?

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Problem 21250

Find the product of $(5d + 4)(5d - 4)$ and simplify it.

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Problem 21251

Match the expressions with their products:
1. $(2 d+3)(d^{2}-1)$
2. $(d-2)(2 d^{2}+3 d+1)$
3. $(2 d^{2}-3)(d+1)$
Products: A. $2 d^{3}-d^{2}-5 d-2$ B. $2 d^{3}+2 d^{2}-3 d-3$ C. $2 d^{3}+3 d^{2}-2 d-3$

See Solution

Problem 21252

Square the binomial $(8y - 5)^{2}$ and find the correct expansion: 1) $64y^{2} - 80y + 25$ 2) $64y^{2} - 40y + 25$ 3) $64y^{2} + 80y - 25$ 4) $64y^{2} + 25$

See Solution

Problem 21253

Divide: $\frac{10 m^{3} n^{4}-15 m n}{5 m n}$ and simplify the result.

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Problem 21254

Solve the inequality: $-39.2 < 1.2(6 - 4.3x) - 6.44x$ .

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Problem 21255

Calculate $25 \times 13 = y$ . What is the value of $y$ ?

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Problem 21256

Simplify the expression $(-15xz + 4xy) + (20xy - 9yz + 16xz)$ .

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Problem 21257

Solve for $x$ in the equation $x \cdot x^{2} - 3x - 70 = 0$ . What are the possible values of $x$ ?

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Problem 21258

Calculate: $50 - 5 \times (27 \div 3) =$

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Problem 21259

What is the result of $(9+3) \div 2$ ?

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Problem 21260

Solve: $36-(4+8) \div 4=$

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Problem 21261

Calculate $15 + 24 \div (8 - 2)$ .

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Problem 21262

Find the domain of the expression $\frac{4-x}{3x+21}$ . What values are excluded?

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Problem 21263

Divide and simplify the expression: $\frac{36 y}{y^{2}-2 y+1} \div \frac{12 y^{2}}{y^{2}-1}$ .

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Problem 21264

Simplify: $\frac{3 x^{2}+17 x+10}{3 x^{2}+32 x+20}$ , $\frac{3 x+2}{3 x+4}$ , $\frac{1}{2}$ , $\frac{x+5}{x+10}$ , $\frac{17 x+10}{32 x+20}$ .

See Solution

Problem 21265

Calculate the sum: $\sum_{n=1}^{12}\left(\frac{n}{2}-9\right)$ .

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Problem 21266

Rewrite $\cot 28^{\circ}$ using its cofunction identity. $\cot 28^{\circ} =$

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Problem 21267

Find $f(-142)$ for $f(x)=-0.2(x+223)$ . Choose from A. 251.4 B. 81 C. -16.2 D. -186.6.

See Solution

Problem 21268

Simplify these expressions: 1. $x=-4 \pm 2 \sqrt{10}$ , 2. $x=-4+\sqrt{45}$ , 3. $x= \pm 7$ , 4. $x=4 \pm 3 \sqrt{5}$ .

See Solution

Problem 21269

Simplify the expression:
$\frac{6 x^{2}}{x^{2}-36}-\frac{6 x}{x+6}+\frac{6}{x-6}$

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Problem 21270

Solve the equation: $0.75 x = 19.50$ . What is the value of $x$ ?

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Problem 21271

Express $\tan \left(\beta+25^{\circ}\right)$ using its cofunction for acute angles.

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Problem 21272

If $TU=6$ , $UV=5x$ , and $TV=8x$ , find $TV$ as a simplified fraction, mixed number, or integer.

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Problem 21273

Simplify: $\frac{\sqrt{15 x^{6}}}{\sqrt{5 x^{5}}} \cdot \sqrt{3 x^{3}}$ . What is the final result?

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Problem 21274

If $T U=6$ , $U V=5 x$ , and $T V=8 x$ , find $T V$ as a fraction, mixed number, or integer.

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Problem 21275

Find $E F$ given $E F = x + 4$ , $F G = 2$ , and $E G = 3x$ . Simplify your answer.

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Problem 21276

Solve the equation $x^{2}+20 x=-20$ for $x$ .

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Problem 21277

Find the value of $b$ in the equation $4=\log _{b}(625)$ . What is $b$ ?

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Problem 21278

Find $F H$ given $F G=6 x$ , $G H=x+16$ , and $F H=8 x+11$ . Simplify your answer.

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Problem 21279

Rewrite $\left(\frac{1}{3}\right)^{-4}=81$ as a logarithmic equation.

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Problem 21280

What does $\log 5$ represent: $\log _{e} 5$ , $\log _{10} 5$ , $\log _{5} 10$ , or $\log _{5} e$ ?

See Solution

Problem 21281

Find $\log_{3} 48$ using $\log 48 \approx 1.68$ and $\log 3 \approx 0.48$ . What is $\log_{3} 48 \approx$ ?

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Problem 21282

Find $ST$ given $RS=2x-11$ , $ST=x+12$ , and $RT=4x-15$ . Simplify your answer as a fraction, mixed number, or integer.

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Problem 21283

Find $M N$ given $L M=5 x-3$ , $M N=11 x$ , and $L N=17 x-9$ . Simplify your answer.

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Problem 21284

Find $L M$ if $K L=x+7$ , $L M=4 x-10$ , and $K M=17$ . Simplify your answer as a fraction, mixed number, or integer.

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Problem 21285

Match each inequality with its solution:
1. $4x + 1 < 9$
2. $-6x - 2 < 10$
3. $|3x| > 6$
4. $|x + 2| < 0$
5. $|2x + 4| < 2$
Solutions: - $-3 < x < -1$ - $x > 2$ or $x < -2$ - no solution - $-2 < x < 2$

See Solution

Problem 21286

Solve: $\log 8 x - \log 2 = \log 16$ . Find possible values for $x$ .

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Problem 21287

Find $S T$ given $S T=x+20$ , $T U=18$ , and $S U=4 x+20$ . Simplify to a proper fraction, mixed number, or integer.

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Problem 21288

Which option is NOT correct for isolating a variable in the system: $3x+y=15$ and $x-y=8$ ? Choices: $x=5-y$ , $x=y+8$ , $y=8-x$ , $y=15-3x$ .

See Solution

Problem 21289

Find $D E$ given $D E=5 x+6$ , $E F=6 x-4$ , and $D F=12 x-12$ . Simplify your answer.

See Solution

Problem 21290

Calculate $67,321 \times 10$ and $67.321 \times 10$ .

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Problem 21291

Solve the system of equations by substitution:
-3x + 4y = 2 3x + y = 8

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Problem 21292

Solve for $x$ : $2|3x+1|-4=6$ . What are the possible values of $x$ ?

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Problem 21293

Find $J K$ if $J K=14 x-1$ , $K L=8 x$ , and $J L=20 x+19$ . Simplify your answer.

See Solution

Problem 21294

Match each absolute value inequality with its solution set:
1. |2x - 4| + 2 < 6
2. |3x - 6| - 8 > 1
3. |4x - 2| + 3 < 9
4. |3x + 6| + 2 > 11
Solutions: - -1 < x < 2 - x < -5 or x > 1 - x < -1 or x > 5 - 0 < x < 4

See Solution

Problem 21295

Solve the equations using substitution: $y - 2x = -6$ and $5x - y = 9$ . Find the solution.

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Problem 21296

Which equation has the solution $x=$ all real numbers? 1) $4(3-x)+6 x=3 x+10-x$ 2) $4(3-x)+6 x=3 x+12-x$ 3) $4(3-x)+6 x=x+12-3 x$ 4) $4(3-x)+6 x=3 x+12+2 x$

See Solution

Problem 21297

Is the statement "An outlier is any number above $Q_{3}$ or below $Q_{1}$ " true or false? If false, rewrite it correctly.

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Problem 21298

Solve for $k$ in the equation $2y + k = 6y - ky$ .

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Problem 21299

Find the real solutions for $x^{4}+9 x^{3}+12 x^{2}-11 x+21=0$ . Is the solution set empty or does it contain values?

See Solution

Problem 21300

Express $\sin \left(\beta+20^{\circ}\right)$ using its cofunction for acute angles.

See Solution

1 ...210 211 212 213 214 215 216 ...269

Math Statement

Problem 21201

Divide the polynomial −8x3−12x2+16x+20-8 x^{3}-12 x^{2}+16 x+20−8x3−12x2+16x+20 by 4x+44 x+44x+4 and express the result as a quotient.

Problem 21202

Calculate: 6+(73×9)6+\left(\frac{7}{3} \times 9\right)6+(37​×9)

Problem 21203

Find the real zeros of the polynomial f(x)=x4+10x3−20x2−90x+99f(x)=x^{4}+10 x^{3}-20 x^{2}-90 x+99f(x)=x4+10x3−20x2−90x+99 and factor it over the reals.

Problem 21204

Calculate (25+4)+35×20\left(\frac{2}{5}+4\right)+\frac{3}{5} \times 20(52​+4)+53​×20.

Problem 21205

Find the value of 20\sqrt{20}20​.

Problem 21206

Simplify the expression: −10x3+19x2+21x−152x−5\frac{-10 x^{3}+19 x^{2}+21 x-15}{2 x-5}2x−5−10x3+19x2+21x−15​.

Problem 21207

Find the instantaneous rate of change of R(t)=240+30t3R(t)=240+30 t^{3}R(t)=240+30t3 at t=1t=1t=1. Answer: R′(1)=90R^{\prime}(1)=90R′(1)=90 dollars/day.

Problem 21208

Solve for bbb in the equation 28=−b6\frac{2}{8}=-\frac{b}{6}82​=−6b​.

Problem 21209

Evaluate the integral: ∫016ln⁡(x)x3dx\int_{0}^{1} 6 \frac{\ln (x)}{\sqrt[3]{x}} d x∫01​63x​ln(x)​dx

Problem 21210

Simplify the expression: 52⋅965 \sqrt{2} \cdot 9 \sqrt{6}52​⋅96​. What is the result? A. 90390 \sqrt{3}903​ B. 45345 \sqrt{3}453​ C. 45245 \sqrt{2}452​ D. 90

Problem 21211

What is the simplified form of 52⋅965 \sqrt{2} \cdot 9 \sqrt{6}52​⋅96​? A. 90390 \sqrt{3}903​ B. 45345 \sqrt{3}453​ C. 45245 \sqrt{2}452​ D. 90

Problem 21212

Solve the equation x4−2x3+6x2−18x−27=0x^{4}-2 x^{3}+6 x^{2}-18 x-27=0x4−2x3+6x2−18x−27=0. Find real solutions or state none exist.

Problem 21213

Identify the justification for each step in the equation transformation from 5(x−1)=4x+135(x-1)=4x+135(x−1)=4x+13 to x=18x=18x=18.

Problem 21214

Calculate sss using u=12u=12u=12, a=10a=10a=10, and t=4t=4t=4: s=ut+12at2s=u t+\frac{1}{2} a t^{2}s=ut+21​at2.

Problem 21215

Problem 21216

Find the real solutions of the equation 2x3+x2−8x+3=02 x^{3}+x^{2}-8 x+3=02x3+x2−8x+3=0. Choose A or B for the solution set.

Problem 21217

Find the inverse of the function f(x)=8x+11f(x)=8x+11f(x)=8x+11.

Problem 21218

Multiply 5125 \frac{1}{2}521​ by 3343 \frac{3}{4}343​.

Problem 21219

Calculate the expression: 30((0.1)3+3×1×0.1×1.1)1\frac{30\left((0.1)^{3}+3 \times 1 \times 0.1 \times 1.1\right)}{1}130((0.1)3+3×1×0.1×1.1)​.

Problem 21220

Find the real solutions for the equation: 5x3+8x2−9x+2=05 x^{3}+8 x^{2}-9 x+2=05x3+8x2−9x+2=0. Choose A (list solutions) or B (no solutions).

Problem 21221

Solve the equation 5x−10=−405x - 10 = -405x−10=−40 and justify each step.

Problem 21222

Multiply the mixed numbers: 314×2563 \frac{1}{4} \times 2 \frac{5}{6}341​×265​.

Problem 21223

Calculate the product of 38\frac{3}{8}83​ and 427\frac{4}{27}274​.

Problem 21224

Find the inverse of f(x)=x2−6f(x)=x^{2}-6f(x)=x2−6 for x≥0x \geq 0x≥0.

Problem 21225

Calculate h(−67)h(-67)h(−67) for h(x)=−49x−125h(x)=-49x-125h(x)=−49x−125. Choose from A. −3,408-3,408−3,408, B. -1.18, C. 3,283, D. 3,158.

Problem 21226

Solve the inequality: 2−3(x+4)>172-3(x+4)>172−3(x+4)>17.

Problem 21227

Find the real solutions of the equation 3x3+x2−13x+5=03x^{3} + x^{2} - 13x + 5 = 03x3+x2−13x+5=0. What is the solution set?

Problem 21228

Find the range of the inverse function for f(x)=(x+1)2−1f(x)=(x+1)^{2}-1f(x)=(x+1)2−1 where x≤−1x \leq -1x≤−1.

Problem 21229

Find the range of the inverse function of f(x)=(x+1)2−1f(x)=(x+1)^{2}-1f(x)=(x+1)2−1 for x≤−1x \leq -1x≤−1.

Problem 21230

Solve for real solutions of 2x−39x3+193x2−321x+117=02x - 39x^3 + 193x^2 - 321x + 117 = 02x−39x3+193x2−321x+117=0. A. x=x=x= (exact answer) B. No real solutions.

Problem 21231

Find the intersection of the lines f(x)=2x+3f(x)=2x+3f(x)=2x+3 and g(x)=−4x−27g(x)=-4x-27g(x)=−4x−27. Choose the correct point: A. (−5,−10)(-5,-10)(−5,−10) B. (5,−7)(5,-7)(5,−7) C. (−5,−7)(-5,-7)(−5,−7) D. (5,13)(5,13)(5,13).

Problem 21232

Check if the points (1,0), (8,4), (0,9), and (-10,-1) meet these inequalities: y>−25x+6y > -\frac{2}{5} x + 6y>−52​x+6 and y>23x+3y > \frac{2}{3} x + 3y>32​x+3.

Problem 21233

Find the inverse of the function f(x)=5x+3f(x)=5x+3f(x)=5x+3.

Problem 21234

Find the other zeros of the function f(x)=x3−4x2+25x−100f(x)=x^{3}-4 x^{2}+25 x-100f(x)=x3−4x2+25x−100 given the zero −5i-5i−5i.

Problem 21235

Find the inverse of the function f(x)=2x−37x−8f(x)=\frac{2x-3}{7x-8}f(x)=7x−82x−3​.

Problem 21236

Find the complex zeros of the polynomial f(x)=x3−11x2+43x−65f(x)=x^{3}-11 x^{2}+43 x-65f(x)=x3−11x2+43x−65 and write it in factored form.

Problem 21237

Check if the points (7,-3), (5,5), (-2,1), and (-7,8) meet these inequalities: 1. y=−x+3y = -x + 3y=−x+3 2. y>14x+3y > \frac{1}{4}x + 3y>41​x+3

Problem 21238

Find the complex zeros of the polynomial f(x)=x3−13x2+59x−87f(x)=x^{3}-13 x^{2}+59 x-87f(x)=x3−13x2+59x−87 and write it in factored form.

Problem 21239

When 5x=155x=155x=15, find the value of 12x12x12x.

Problem 21240

Find the real solutions for the equation 5x3+7x2−11x+3=05 x^{3}+7 x^{2}-11 x+3=05x3+7x2−11x+3=0. Choose A or B for the solution set.

Divide the polynomial $-8 x^{3}-12 x^{2}+16 x+20$ by $4 x+4$ and express the result as a quotient.

Calculate: $6+\left(\frac{7}{3} \times 9\right)$

Find the real zeros of the polynomial $f(x)=x^{4}+10 x^{3}-20 x^{2}-90 x+99$ and factor it over the reals.

Calculate $\left(\frac{2}{5}+4\right)+\frac{3}{5} \times 20$ .

Find the value of $\sqrt{20}$ .

Simplify the expression: $\frac{-10 x^{3}+19 x^{2}+21 x-15}{2 x-5}$ .

Find the instantaneous rate of change of $R(t)=240+30 t^{3}$ at $t=1$ . Answer: $R^{\prime}(1)=90$ dollars/day.

Solve for $b$ in the equation $\frac{2}{8}=-\frac{b}{6}$ .

Evaluate the integral: $\int_{0}^{1} 6 \frac{\ln (x)}{\sqrt[3]{x}} d x$

Simplify the expression: $5 \sqrt{2} \cdot 9 \sqrt{6}$ . What is the result? A. $90 \sqrt{3}$ B. $45 \sqrt{3}$ C. $45 \sqrt{2}$ D. 90

What is the simplified form of $5 \sqrt{2} \cdot 9 \sqrt{6}$ ? A. $90 \sqrt{3}$ B. $45 \sqrt{3}$ C. $45 \sqrt{2}$ D. 90

Solve the equation $x^{4}-2 x^{3}+6 x^{2}-18 x-27=0$ . Find real solutions or state none exist.

Identify the justification for each step in the equation transformation from $5(x-1)=4x+13$ to $x=18$ .

Calculate $s$ using $u=12$ , $a=10$ , and $t=4$ : $s=u t+\frac{1}{2} a t^{2}$ .

Find the real solutions of the equation $2 x^{3}+x^{2}-8 x+3=0$ . Choose A or B for the solution set.

Find the inverse of the function $f(x)=8x+11$ .

Multiply $5 \frac{1}{2}$ by $3 \frac{3}{4}$ .

Calculate the expression: $\frac{30\left((0.1)^{3}+3 \times 1 \times 0.1 \times 1.1\right)}{1}$ .

Find the real solutions for the equation: $5 x^{3}+8 x^{2}-9 x+2=0$ . Choose A (list solutions) or B (no solutions).

Solve the equation $5x - 10 = -40$ and justify each step.

Multiply the mixed numbers: $3 \frac{1}{4} \times 2 \frac{5}{6}$ .

Calculate the product of $\frac{3}{8}$ and $\frac{4}{27}$ .

Find the inverse of $f(x)=x^{2}-6$ for $x \geq 0$ .

Calculate $h(-67)$ for $h(x)=-49x-125$ . Choose from A. $-3,408$ , B. -1.18, C. 3,283, D. 3,158.

Solve the inequality: $2-3(x+4)>17$ .

Find the real solutions of the equation $3x^{3} + x^{2} - 13x + 5 = 0$ . What is the solution set?

Find the range of the inverse function for $f(x)=(x+1)^{2}-1$ where $x \leq -1$ .

Find the range of the inverse function of $f(x)=(x+1)^{2}-1$ for $x \leq -1$ .

Solve for real solutions of $2x - 39x^3 + 193x^2 - 321x + 117 = 0$ . A. $x=$ (exact answer) B. No real solutions.

Find the intersection of the lines $f(x)=2x+3$ and $g(x)=-4x-27$ . Choose the correct point: A. $(-5,-10)$ B. $(5,-7)$ C. $(-5,-7)$ D. $(5,13)$ .

Check if the points (1,0), (8,4), (0,9), and (-10,-1) meet these inequalities: $y > -\frac{2}{5} x + 6$ and $y > \frac{2}{3} x + 3$ .

Find the inverse of the function $f(x)=5x+3$ .

Find the other zeros of the function $f(x)=x^{3}-4 x^{2}+25 x-100$ given the zero $-5i$ .

Find the inverse of the function $f(x)=\frac{2x-3}{7x-8}$ .

Find the complex zeros of the polynomial $f(x)=x^{3}-11 x^{2}+43 x-65$ and write it in factored form.

Check if the points (7,-3), (5,5), (-2,1), and (-7,8) meet these inequalities: 1. $y = -x + 3$ 2. $y > \frac{1}{4}x + 3$

Find the complex zeros of the polynomial $f(x)=x^{3}-13 x^{2}+59 x-87$ and write it in factored form.

When $5x=15$ , find the value of $12x$ .

Find the real solutions for the equation $5 x^{3}+7 x^{2}-11 x+3=0$ . Choose A or B for the solution set.

Solve the inequality: $-3(4+2 x)<18$ .

Find $s$ using the formula $s=u t+\frac{1}{2} a t^{2}$ with $u=5.2$ , $t=7$ , and $a=1.6$ .

Solve the inequality: $10 < -2x - 5x - 4$ .

Find the domain of the function $R(x)=\frac{11 x}{x+2}$ . Is it A. $x \neq -2$ or B. all real numbers?

Calculate the sum: $\sum_{i=1}^{8} (2i + 1)$ .

Solve the inequality: $2 - 3(x + 4) < 17$ .

Solve for $y$ : $6\left(y-\frac{1}{3}\right)=4(3y-5)$ . What is $y$ ?

Solve for $a$ : $3a + 1 > \frac{-7a - 14}{-4}$ . Determine the valid ranges for $a$ .

Subtract: $(6f^2 - 9f + 10) - (-2f^2 - f + 3)$ . What is the result?

Find the product of $(5d + 4)(5d - 4)$ and simplify it.

Square the binomial $(8y - 5)^{2}$ and find the correct expansion: 1) $64y^{2} - 80y + 25$ 2) $64y^{2} - 40y + 25$ 3) $64y^{2} + 80y - 25$ 4) $64y^{2} + 25$

Divide: $\frac{10 m^{3} n^{4}-15 m n}{5 m n}$ and simplify the result.

Solve the inequality: $-39.2 < 1.2(6 - 4.3x) - 6.44x$ .

Calculate $25 \times 13 = y$ . What is the value of $y$ ?

Simplify the expression $(-15xz + 4xy) + (20xy - 9yz + 16xz)$ .

Solve for $x$ in the equation $x \cdot x^{2} - 3x - 70 = 0$ . What are the possible values of $x$ ?

Calculate: $50 - 5 \times (27 \div 3) =$

What is the result of $(9+3) \div 2$ ?

Solve: $36-(4+8) \div 4=$

Calculate $15 + 24 \div (8 - 2)$ .

Find the domain of the expression $\frac{4-x}{3x+21}$ . What values are excluded?

Divide and simplify the expression: $\frac{36 y}{y^{2}-2 y+1} \div \frac{12 y^{2}}{y^{2}-1}$ .

Simplify: $\frac{3 x^{2}+17 x+10}{3 x^{2}+32 x+20}$ , $\frac{3 x+2}{3 x+4}$ , $\frac{1}{2}$ , $\frac{x+5}{x+10}$ , $\frac{17 x+10}{32 x+20}$ .

Calculate the sum: $\sum_{n=1}^{12}\left(\frac{n}{2}-9\right)$ .

Rewrite $\cot 28^{\circ}$ using its cofunction identity. $\cot 28^{\circ} =$

Find $f(-142)$ for $f(x)=-0.2(x+223)$ . Choose from A. 251.4 B. 81 C. -16.2 D. -186.6.

Simplify these expressions: 1. $x=-4 \pm 2 \sqrt{10}$ , 2. $x=-4+\sqrt{45}$ , 3. $x= \pm 7$ , 4. $x=4 \pm 3 \sqrt{5}$ .

Simplify the expression:
$\frac{6 x^{2}}{x^{2}-36}-\frac{6 x}{x+6}+\frac{6}{x-6}$

Solve the equation: $0.75 x = 19.50$ . What is the value of $x$ ?

Express $\tan \left(\beta+25^{\circ}\right)$ using its cofunction for acute angles.

If $TU=6$ , $UV=5x$ , and $TV=8x$ , find $TV$ as a simplified fraction, mixed number, or integer.

Simplify: $\frac{\sqrt{15 x^{6}}}{\sqrt{5 x^{5}}} \cdot \sqrt{3 x^{3}}$ . What is the final result?

If $T U=6$ , $U V=5 x$ , and $T V=8 x$ , find $T V$ as a fraction, mixed number, or integer.