Simplify

Problem 301

7) $\left(\frac{-2 a^{2}}{3 y^{3}}\right)^{3}$

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Problem 302

x ^ { 2 } + 4 \longdiv { 2 x ^ { 4 } - x ^ { 3 } + 7 x ^ { 2 } - 4 x - 4 }

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Problem 303

Simplify the expression: $10+-5 x+-2$ $\square$ Submit

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Problem 304

$-\frac{0.199}{5(0.194)-1}$

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Problem 305

Enter the correct value for each blank. - Press each hotspot. - Label the corresponding number below with the requested value.
Press to hear a reminder or hint for this problem.
Rewrite the negative exponents as the expression's reciprocal with a positive exponent. Be sure to account for the negative signs on the bases when expanding and evaluating the exponents. $3^{-2}=$ - $27^{0}=$ (2) $(-3)^{0}=$ $\theta$ $(-2)^{-4}=$ $\square$ $\left(\frac{1}{2}\right)^{-3}=$ $\left(-\frac{1}{2}\right)^{4}=$ $\square$

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Problem 306

1. Rewrite in Fractional/Exponential Form a. $\sqrt{5}$ b. $\sqrt[5]{2}$ c. $\sqrt[2]{6^{3}}$
2. Rewrite in Radical/Root form a. $x^{\frac{2}{3}}$ b. $4^{\frac{5}{7}}$ c. $(10 x)^{\frac{3}{2}}$
3. Simplify each of the following $\frac{\sqrt{32 m^{7} n^{11}}}{\sqrt{28 x^{9} y^{6}}}$ a. b. $4 \sqrt[3]{216 x^{12} y^{15}}$ $\left(-256 x^{3} y^{7}\right)^{\frac{1}{3}}$ c. d. e. $\sqrt[4]{32 x^{5} y^{8}}$ f. $\sqrt[5]{180 m^{16} n^{11}}$

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Problem 307

SImplify the expression: Videc $8+4 y+3 y+7+6 y+4 y$ $\square$ Submit

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Problem 308

Question Watch Video Show Examples
Expand the logarithm fully using the properties of logs. Express the final answer in terms of $\log x$ , and $\log y$ . $\log x y^{3}$

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Problem 309

b) $\frac{14}{15} \div \frac{2}{3} \times \frac{5}{8}+\frac{3}{4}$

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Problem 310

Simplify the expression: Video $6 h+4 h+6 h-4 h+3 h$ $\square$ Submit

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Problem 311

Score: 1/2 Penalty: 1 off Watch Video Show Example
Question Expand the logarithm fully using the properties of logs. Express the final answer terms of $\log x, \log y$ , and $\log z$ . $\log \frac{y}{x^{4} \sqrt{z^{5}}}$
Answer Attempt 1 out of 2 Submit Answer

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Problem 312

$f(x)=x^{3} \text { and } g(x)=x^{2}+4$
Find the formula for $(g \circ f)(x)$ and simplify your answer.

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Problem 313

$\begin{array}{r} 16 a+14=14 \\ 16 a=0 \end{array}$ $a=$ $\square$ Divide both sides by 16

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Problem 314

$\frac{40}{100}-\frac{1}{10}$

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Problem 315

$\frac{9}{10}+\frac{30}{100}$

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Problem 316

$\frac{4}{7}+\frac{5}{7}$

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Problem 317

$x\left(2 x^{-3}\right)$

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Problem 318

Simplify the trigonometric expression. $\frac{1+\sin (y)}{1+\csc (y)}$

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Problem 319

$\sqrt{348}$

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Problem 320

Given the function $f(x)=-2+5 x^{2}$ , express the value of $\frac{f(x+h)-f(x)}{h}$ in simplest form.
Answer $\square$ Submit Answer

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Problem 321

Question 17 Time Remaining: 53 mins Next Questior
Given that $f(x)=x^{2}+5 x-36$ and $g(x)=x+9$ , find $(f+g)(x)$ and express the result as a polynomial in simplest form.
Answer $\square$ Submit Answer

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Problem 322

Given that $f(x)=x^{2}-5 x-36$ and $g(x)=x-9$ , find $(f-g)(x)$ and express the result as a polynomial in simplest form.

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Problem 323

Subtract. $(-6 a+9)-(-3 a-1)$

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Problem 324

Question 8 of 10 For $f(x)=4 x+1$ and $g(x)=x^{2}-5$ , find $(f-g)(x)$ . A. $-x^{2}+4 x-4$ B. $4 x^{2}-19$ C. $-x^{2}+4 x+6$ D. $x^{2}-4 x-6$

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Problem 325

Subtract the given expressions. $\begin{array}{c} 2 x-(8 x-2) \\ 2 x-(8 x-2)= \end{array}$

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Problem 326

Simplify the radical expression. $2 \sqrt{5} \cdot 5 \sqrt{6}$
Write your answer in the form of $a \sqrt{b}$ . If there is not a number left under the radical, type 1 for b. $\begin{array}{l} a= \\ b= \end{array}$

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Problem 327

Effectue les opérations demandées. Exprime ta réponse sous la forme d'un polynôme. a) $\left(x^{3}+2 x^{2}-x\right)+\left(2 x^{3}-x+5\right)-\left(8 x^{2}+3 x-9\right)$

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Problem 328

Simplify $\frac{\csc ^{2}(t)-1}{\csc ^{2}(t)}$ to an expression involving a single trig function with no fractions. If needed, enter squared trigonometric expressions using the following notation. Example: Enter $\sin ^{2}(t)$ as $(\sin (t))^{2}$ . $\square$

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Problem 329

$=x^{4}-9 x^{2}+3 x^{3}-27 x-10 x^{2}+90 ?$

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Problem 330

Practice - III
Use algebra tiles to factor the following trinomials. a. $x^{2}-4 x+3$

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Problem 331

Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 x-8 y=40$

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Problem 332

What is the slope of the line that passes through the points $(3,2)$ and $(19,6)$ ? Write your answer in simplest form.

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Problem 333

1. Simplify the below expressions. Only use Approach 3 [Searching for factorizations that have a perfect square: Large to small] as shown in class. You will earn 0 points for using Approaches 1 or 2. (a) $\sqrt{700}+\sqrt{63}$ (b) $\sqrt{128}-\sqrt{98}$ (c) $\sqrt{16}+\sqrt{17}+\sqrt{18}$

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Problem 334

Simplify the radical expression by rationalizing the denominator. $\frac{2}{\sqrt{5}}$ $2 \sqrt{5}$

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Problem 335

Write an equivalent expression by distributing the " -" sign outside the parentheses: $-10 m-(-7.6 n+1)$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 336

Factor by grouping. $18 w+w y-9 w^{2}-2 y$

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Problem 337

Multiply. $6 u \cdot 4 v^{3} \cdot 2 u^{6} v^{5}$
Simplify your answer as much as possible.

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Problem 338

2. Factor completely. $-5 y^{2}-10 y$

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Problem 339

Simplify to a single power of 5 : $\left(5^{2}\right)^{5}$
Answer Attempt 4 mit of 2
Answer: Submit Answer

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Problem 340

Simplifying gives, $2^{2} \cdot 3^{1} \cdot 5^{2} \cdot \sqrt{11}=4 \cdot 3 \cdot 25 \cdot \sqrt{11}=300 \sqrt{11}$ .
This approach feels like a lot of work when you first learn it, but it is one of the best tools for large numbers under a root. Try it on these problems: (a) $\sqrt{3000000}$ (b) $\sqrt{44100}$ (c) $\sqrt{2700}$

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Problem 341

Simplify: $z \cdot z^{3}$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 342

Perform the operation and simplify the answer fully. $\frac{3}{2} \div \frac{7}{6}$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 343

$(4-9 i)-(3-2 i)$

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Problem 344

Select the correct options to complete the following statement. ! 3 ¡5 28 17 12 : 20 From a group of people, 12 buy vinyl discs, 20 buy $C D s$ and 28 are subscripted to a music streaming service.
The simplified ratio of the number of vinyl discs to the number of CDs to the number of subscribers to a music streaming service is

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Problem 345

№5. Сократить дробь: 1) $\frac{3-\sqrt{3}}{\sqrt{6}-\sqrt{2}} ; \quad$ 2) $\frac{a-25}{5+\sqrt{a}}$ . №6. Найти значение выражения: $\frac{4}{2 \sqrt{3}+1}-\frac{4}{2 \sqrt{3}-1}$ .

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Problem 346

№5. Сократить дробь: 1) $\frac{3-\sqrt{3}}{\sqrt{6}-\sqrt{2}} ; \quad$ 2) $\frac{a-25}{5+\sqrt{a}}$ .

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Problem 347

$\frac{2 \sqrt{y} x}{\frac{x^{2}}{2 \sqrt{y}}}=$

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Problem 348

$\frac{9}{54}=$

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Problem 349

2. $\frac{30}{36}=$

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Problem 350

$\frac{3}{24}=$

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Problem 351

$\frac{35}{56}=$

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Problem 352

Convert to an entire radical: a. $2 \sqrt{3}$

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Problem 353

Dalam Soal $19-22$ , gunakan proses melengkapkan kuadrat untuk menyederhanakan persamaan di bawah ini menjadi bentuk baku. Sebutlah kemudian jenis kurva yang bersangkutan dan gambarlah grafiknya.
19. $4 x^{2}+4 y^{2}-24 x+36 y+81=0$ (20) $4 x^{2}+9 y^{2}-24 x-36 y+36=0$

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Problem 354

Gurakan proses melenglapkan kudirot untik menyederfia. nakan Persamacn di bawah ini mensadi bentuk toku. Sobution temudion lenil kurva yang bersanglation don gambor iah grafikup! 2) $4 x^{2}+9 y^{2}-24 x-36 y+36=0$

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Problem 355

$\begin{array}{l}\text { 8. }-8 \sqrt{27 x^{10} y^{5}=y^{17}} \\ \frac{27}{3}=\frac{9}{3}=\frac{3}{3}-3 \sqrt{3}\end{array}$

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Problem 356

Factor completely. $2 n^{3}-n^{2}+14 n-7$ $\square$ Submit

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Problem 357

Multiply. $(3 c-2)(7 c+6)$
Simplify your answer.

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Problem 358

Write the logarithmic equation $\ln x=2$ in exponential form.

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Problem 359

9.5-9.6 Warm Up
Write the logarithmic expression as a single logarithm with coeficient 1, and simplify as much as 1) $8 \log _{b} y+6 \log _{b} z$ 2) $6 \log _{8} m-5 \log _{8} n$ 3) $\log _{3} x-4 \log _{3} y-8 \log _{3} z$ 4) $5 \log _{9} m-4 \log _{9} n$ 5) $5 \log _{4} t-4 \log _{4} u-2 \log _{4} v$

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Problem 360

$\frac{\frac{4}{c}}{\frac{7}{c}+\frac{2}{c^{2}}}$

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Problem 361

tion in standard form using the vertex formula. b) $\quad f(x)=-\frac{1}{2} x^{2}+2 x-1$

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Problem 362

Learn with an example Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $-\sqrt{-27}$ $\square$ i $\sqrt{5}$ Submit

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Problem 363

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $-\sqrt{-36}$ $\square$ i

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Problem 364

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-62}$ $\square$ i $\square$ Submit

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Problem 365

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-22}$ $\square$ i Submit

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Problem 366

$\left(x^{3}-9\right) \div(x+1)$

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Problem 367

In order: $0.2,0.23,0.25,0.3,0.4$ Write the decimals in order starting with the smallest. $0.2,0.23,25 \%, \frac{3}{10}, \frac{2}{5}$
Write the original values in order. Exercise 6.3 Focus 1 Write these fractions in their simplest form. a $\frac{5}{10}$ $\square$ b $\frac{8}{20}$ $\square$ c $\frac{9}{12}$ $\square$

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Problem 368

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Evaluate logarithmic expressions if possible. $2 \log _{b} x+5 \log _{b} z$ $\square$

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Problem 369

Question 9 10 pts
The vertex form of the quadratic function $f(x)=2 x^{2}+12 x+19$ is $f(x)=a(x-h)^{2}+k$ Determine the values for $a, h$ , and $k$ by completing the square. $\begin{array}{l} a=\square \\ h=\square \end{array}$ $k=\square$

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Problem 370

Question
Fully simplify using only positive exponents. $\frac{125 x^{8} y^{4}}{25 x^{2} y^{8}}$

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Problem 371

Algebra 1 Lesson 4.1 Day 2 Assignment Slope Intercept back to Standard Form Name/Period Remember that for a line to be in Standard Form, $A x+B y=C$ , the following must be true: 1. 2. 3.
Take the slope intercept form of each equation, and write the equation in Standard Form.
1. $\mathrm{y}=2 \mathrm{x}+4$
2. $y=3 x-4$
3. $y=\frac{1}{2} x+4$
4. $y=\frac{2}{3} x-1$
5. $y=-\frac{3}{4} x+2$
6. $y=-\frac{1}{4} x-5$

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Problem 372

$\left(3 x^{4}-8 x\right)+\left(2 x-4 x^{4}\right)$

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Problem 373

$(2 x-1)(7 x-2)$

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Problem 374

$x^{2}-\left(x^{2}+9 x-3\right)$

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Problem 375

1 2 3 4
Which expression is equivalent to $\sqrt{\frac{55 x^{7} y^{6}}{11 x^{11} y^{8}}}$ ? Assume $x>0$ and $y>0$ . $\frac{x^{2} \sqrt{5}}{y}$ $\frac{y \sqrt{5}}{x^{2}}$ $\frac{\sqrt{5}}{x^{2} y}$ $\frac{x \sqrt{5}}{y}$

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Problem 376

$\frac{7 x^{3}}{14 x}$

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Problem 377

Subtract $\frac{3}{x-1}-\frac{4}{x+3}$ . A. $\frac{-x+13}{(x-1)(x+3)} \quad ; x \neq-3$ or 1

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Problem 378

Rewrite the expression in terms of the given function. $\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x} ; \cot x$

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Problem 379

$\frac{1.4 \times 10^{4}}{7 \times 10^{3}}$

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Problem 380

5. Expand and simplify each of the following expressions. (a) $y-\frac{2}{3}(9 x-3 y)$ (b) $-\frac{1}{3}\{6(p+q)-3[p-2(p-3 q)]\}$
6. Express each of the following as a fraction in its simplest form. (a) $\frac{7(x+3)}{2}+\frac{5(2 x-5)}{3}$ (b) $\frac{3 x-4}{5}-\frac{3(x-1)}{2}$ (c) $\frac{3(z-2)}{4}-\frac{4(2 z-3)}{5}$ (d) $\frac{2(p-4 q)}{3}-\frac{3(2 p+q)}{2}$ (e) $-\frac{2 b}{3}-\frac{3(a-2 b)}{5}$ (f) $\frac{2(x+3)}{5}-\frac{1}{2}+\frac{3 x-4}{4}$ (g) $\frac{a+1}{2}-\frac{a+3}{3}-\frac{5 a-2}{4}$ (h) $\frac{x+1}{2}+\frac{x+3}{3}-\frac{5 x-1}{6}$ (i) $\frac{2(a-b)}{7}-\frac{2 a+3 b}{14}+\frac{a+b}{2}$ (j) $\frac{x+3}{3}+\frac{5(3 x+4)}{6}+1$

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Problem 381

$\frac{x^{2}+5 x+4}{x^{2}-6 x-7}$

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Problem 382

$e^{\ln 4}=$

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Problem 383

Factor the expression $a^{2} + 9a + 8$ .

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Problem 384

$\frac{x^{2}+19 x+90}{x^{2}+12 x+20}$

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Problem 385

Re-write the quadratic function below in Standard Form $y=-2(x-2)^{2}+2$
Answer Attempt 1 out of 2 $y=$ $\square$ Submit Answer

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Problem 386

Not syncing OneVie https//www.savvasrea DCPS Links Lenovo Support Lenov
M/J ACCE MATH ORE-607-06-07-1205 Lesson 3-7: Simplify Algebrai
Combine like terms to simplify the exp $4 y^{3}+8-y^{3}$ $\square$ (Simplify your answer.) Help me solve this View an

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Problem 387

Combine like terms to simplify the expression. $3 x+9-4 x$

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Problem 388

Simplify. $4 d+4 c+3 c$

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Problem 389

Multiply. $\sqrt{5}(4+3 \sqrt{10})$
A $\sqrt{30}+2 \sqrt{3}$ B $2 \sqrt{3}+2$ C $3 \sqrt{2}+2$ D $4 \sqrt{5}+15 \sqrt{2}$

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Problem 390

Simplify. $-2 \sqrt{5}+3 \sqrt{12}+2 \sqrt{20}$
A $2 \sqrt{5}+6 \sqrt{3}$ B $6 \sqrt{5}+6 \sqrt{3}$ C $6 \sqrt{5}+12 \sqrt{3}$ D $2 \sqrt{5}+12 \sqrt{3}$

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Problem 391

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. $\log _{9}\left(\frac{1}{729}\right)=-3$

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Problem 392

Express each radical as a power. a) $\sqrt{125}$ b) $\sqrt[3]{y^{5}}$ c) $\sqrt[n]{27^{2}}$

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Problem 393

expression to a polynomial in standard form: $(3 x+2)\left(-x^{2}-3 x+1\right)$

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Problem 394

Convert each mixed radical to an equivalent entire radical. a) $9 \sqrt{4}$ b) $3 \sqrt{18}$

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Problem 395

Expand the expression to a polynomial in standard form: $(x-4)\left(3 x^{2}-6 x+4\right)$
Answer Attempt 1 out of 2

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Problem 396

Write an equivalent expression. $2.1+(8 x+0.5)$

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Problem 397

Expand and simplify a $3(x+5)+4(x-2)$

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Problem 398

Write an agavalunt expression $b i=8$

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Problem 399

Aufgabe 8: Potenzen mit gleichen Exponenten Vereinfache soweit wie möglich a) $4^{4} \cdot 3^{4} \cdot 0,25^{4}$ c) $(x-y)^{8} \cdot(x-y)^{8}$ e) $\frac{24^{3}}{8^{3}}$ g) $\frac{0,4^{2}}{0,5^{2}}$ i) $\frac{27 a^{3}}{8 b^{3}}$ k) $\frac{\left(16 x^{4}-25 y^{-2}\right)^{n}}{\left(4 x^{2}-\frac{5}{y}\right)^{n}}$ b) $5^{x}-4^{x}$ d) $(-x)^{5}(-y)^{5} z^{5}$ 1) $\frac{2,6^{4}}{1,3^{4}}$ h) $\frac{(12 x)^{m}}{(3 x)^{m}}$ j) $\frac{(2 a+3 b)^{-5}}{\left(4 a^{2}-9 b^{2}\right)^{-5}}$ 1) $\frac{\left(16 r^{4}-24 r^{2} s^{3} 9 s^{6}\right)^{4}}{\left(16 r^{4}-9 s^{6}\right)^{4}}$

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Problem 400

$2(y+5)-2(y-1)$

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1 2 3 4 5 6 7 ...56

Simplify

Problem 301

7) (−2a23y3)3\left(\frac{-2 a^{2}}{3 y^{3}}\right)^{3}(3y3−2a2​)3

Problem 302

x ^ { 2 } + 4 \longdiv { 2 x ^ { 4 } - x ^ { 3 } + 7 x ^ { 2 } - 4 x - 4 }

Problem 303

Simplify the expression: 10+−5x+−210+-5 x+-210+−5x+−2 □\square□ Submit

Problem 304

−0.1995(0.194)−1-\frac{0.199}{5(0.194)-1}−5(0.194)−10.199​

Problem 305

Problem 306

Problem 307

SImplify the expression: Videc 8+4y+3y+7+6y+4y8+4 y+3 y+7+6 y+4 y8+4y+3y+7+6y+4y □\square□ Submit

Problem 308

Question Watch Video Show ExamplesExpand the logarithm fully using the properties of logs. Express the final answer in terms of log⁡x\log xlogx, and log⁡y\log ylogy. log⁡xy3\log x y^{3}logxy3

Problem 309

b) 1415÷23×58+34\frac{14}{15} \div \frac{2}{3} \times \frac{5}{8}+\frac{3}{4}1514​÷32​×85​+43​

Problem 310

Simplify the expression: Video 6h+4h+6h−4h+3h6 h+4 h+6 h-4 h+3 h6h+4h+6h−4h+3h □\square□ Submit

Problem 311

Problem 312

f(x)=x3 and g(x)=x2+4f(x)=x^{3} \text { and } g(x)=x^{2}+4f(x)=x3 and g(x)=x2+4Find the formula for (g∘f)(x)(g \circ f)(x)(g∘f)(x) and simplify your answer.

Problem 313

16a+14=1416a=0\begin{array}{r} 16 a+14=14 \\ 16 a=0 \end{array}16a+14=1416a=0​ a=a=a= □\square□ Divide both sides by 16

Problem 314

40100−110\frac{40}{100}-\frac{1}{10}10040​−101​

Problem 315

910+30100\frac{9}{10}+\frac{30}{100}109​+10030​

Problem 316

47+57\frac{4}{7}+\frac{5}{7}74​+75​

Problem 317

x(2x−3)x\left(2 x^{-3}\right)x(2x−3)

Problem 318

Simplify the trigonometric expression. 1+sin⁡(y)1+csc⁡(y)\frac{1+\sin (y)}{1+\csc (y)}1+csc(y)1+sin(y)​

Problem 319

348\sqrt{348}348​

Problem 320

Given the function f(x)=−2+5x2f(x)=-2+5 x^{2}f(x)=−2+5x2, express the value of f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ in simplest form.Answer □\square□ Submit Answer

Problem 321

Question 17 Time Remaining: 53 mins Next QuestiorGiven that f(x)=x2+5x−36f(x)=x^{2}+5 x-36f(x)=x2+5x−36 and g(x)=x+9g(x)=x+9g(x)=x+9, find (f+g)(x)(f+g)(x)(f+g)(x) and express the result as a polynomial in simplest form.Answer □\square□ Submit Answer

Problem 322

Given that f(x)=x2−5x−36f(x)=x^{2}-5 x-36f(x)=x2−5x−36 and g(x)=x−9g(x)=x-9g(x)=x−9, find (f−g)(x)(f-g)(x)(f−g)(x) and express the result as a polynomial in simplest form.

Problem 323

Subtract. (−6a+9)−(−3a−1)(-6 a+9)-(-3 a-1)(−6a+9)−(−3a−1)

Problem 324

Question 8 of 10 For f(x)=4x+1f(x)=4 x+1f(x)=4x+1 and g(x)=x2−5g(x)=x^{2}-5g(x)=x2−5, find (f−g)(x)(f-g)(x)(f−g)(x). A. −x2+4x−4-x^{2}+4 x-4−x2+4x−4 B. 4x2−194 x^{2}-194x2−19 C. −x2+4x+6-x^{2}+4 x+6−x2+4x+6 D. x2−4x−6x^{2}-4 x-6x2−4x−6

Problem 325

Subtract the given expressions. 2x−(8x−2)2x−(8x−2)=\begin{array}{c} 2 x-(8 x-2) \\ 2 x-(8 x-2)= \end{array}2x−(8x−2)2x−(8x−2)=​

Problem 326

Simplify the radical expression. 25⋅562 \sqrt{5} \cdot 5 \sqrt{6}25​⋅56​Write your answer in the form of aba \sqrt{b}ab​. If there is not a number left under the radical, type 1 for b. a=b=\begin{array}{l} a= \\ b= \end{array}a=b=​

Problem 327

Effectue les opérations demandées. Exprime ta réponse sous la forme d'un polynôme. a) (x3+2x2−x)+(2x3−x+5)−(8x2+3x−9)\left(x^{3}+2 x^{2}-x\right)+\left(2 x^{3}-x+5\right)-\left(8 x^{2}+3 x-9\right)(x3+2x2−x)+(2x3−x+5)−(8x2+3x−9)

Problem 328

Problem 329

=x4−9x2+3x3−27x−10x2+90?=x^{4}-9 x^{2}+3 x^{3}-27 x-10 x^{2}+90 ?=x4−9x2+3x3−27x−10x2+90?

Problem 330

Practice - IIIUse algebra tiles to factor the following trinomials. a. x2−4x+3x^{2}-4 x+3x2−4x+3

Problem 331

Put the following equation of a line into slope-intercept form, simplifying all fractions. 20x−8y=4020 x-8 y=4020x−8y=40

Problem 332

What is the slope of the line that passes through the points (3,2)(3,2)(3,2) and (19,6)(19,6)(19,6) ? Write your answer in simplest form.

Problem 333

Problem 334

Simplify the radical expression by rationalizing the denominator. 25\frac{2}{\sqrt{5}}5​2​ 252 \sqrt{5}25​

Problem 335

Write an equivalent expression by distributing the " -" sign outside the parentheses: −10m−(−7.6n+1)-10 m-(-7.6 n+1)−10m−(−7.6n+1)Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 336

Factor by grouping. 18w+wy−9w2−2y18 w+w y-9 w^{2}-2 y18w+wy−9w2−2y

Problem 337

Multiply. 6u⋅4v3⋅2u6v56 u \cdot 4 v^{3} \cdot 2 u^{6} v^{5}6u⋅4v3⋅2u6v5Simplify your answer as much as possible.

Problem 338

2. Factor completely. −5y2−10y-5 y^{2}-10 y−5y2−10y

Problem 339

Simplify to a single power of 5 : (52)5\left(5^{2}\right)^{5}(52)5Answer Attempt 4 mit of 2Answer: Submit Answer

Problem 340

Problem 341

Simplify: z⋅z3z \cdot z^{3}z⋅z3Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 342

Perform the operation and simplify the answer fully. 32÷76\frac{3}{2} \div \frac{7}{6}23​÷67​Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 343

7) $\left(\frac{-2 a^{2}}{3 y^{3}}\right)^{3}$

Simplify the expression: $10+-5 x+-2$ $\square$ Submit

$-\frac{0.199}{5(0.194)-1}$

SImplify the expression: Videc $8+4 y+3 y+7+6 y+4 y$ $\square$ Submit

Question Watch Video Show Examples
Expand the logarithm fully using the properties of logs. Express the final answer in terms of $\log x$ , and $\log y$ . $\log x y^{3}$

b) $\frac{14}{15} \div \frac{2}{3} \times \frac{5}{8}+\frac{3}{4}$

Simplify the expression: Video $6 h+4 h+6 h-4 h+3 h$ $\square$ Submit

$f(x)=x^{3} \text { and } g(x)=x^{2}+4$
Find the formula for $(g \circ f)(x)$ and simplify your answer.

$\begin{array}{r} 16 a+14=14 \\ 16 a=0 \end{array}$ $a=$ $\square$ Divide both sides by 16

$\frac{40}{100}-\frac{1}{10}$

$\frac{9}{10}+\frac{30}{100}$

$\frac{4}{7}+\frac{5}{7}$

$x\left(2 x^{-3}\right)$

Simplify the trigonometric expression. $\frac{1+\sin (y)}{1+\csc (y)}$

$\sqrt{348}$

Given the function $f(x)=-2+5 x^{2}$ , express the value of $\frac{f(x+h)-f(x)}{h}$ in simplest form.
Answer $\square$ Submit Answer

Question 17 Time Remaining: 53 mins Next Questior
Given that $f(x)=x^{2}+5 x-36$ and $g(x)=x+9$ , find $(f+g)(x)$ and express the result as a polynomial in simplest form.
Answer $\square$ Submit Answer

Given that $f(x)=x^{2}-5 x-36$ and $g(x)=x-9$ , find $(f-g)(x)$ and express the result as a polynomial in simplest form.

Subtract. $(-6 a+9)-(-3 a-1)$

Question 8 of 10 For $f(x)=4 x+1$ and $g(x)=x^{2}-5$ , find $(f-g)(x)$ . A. $-x^{2}+4 x-4$ B. $4 x^{2}-19$ C. $-x^{2}+4 x+6$ D. $x^{2}-4 x-6$

Subtract the given expressions. $\begin{array}{c} 2 x-(8 x-2) \\ 2 x-(8 x-2)= \end{array}$

Simplify the radical expression. $2 \sqrt{5} \cdot 5 \sqrt{6}$
Write your answer in the form of $a \sqrt{b}$ . If there is not a number left under the radical, type 1 for b. $\begin{array}{l} a= \\ b= \end{array}$

Effectue les opérations demandées. Exprime ta réponse sous la forme d'un polynôme. a) $\left(x^{3}+2 x^{2}-x\right)+\left(2 x^{3}-x+5\right)-\left(8 x^{2}+3 x-9\right)$

$=x^{4}-9 x^{2}+3 x^{3}-27 x-10 x^{2}+90 ?$

Practice - III
Use algebra tiles to factor the following trinomials. a. $x^{2}-4 x+3$

Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 x-8 y=40$

What is the slope of the line that passes through the points $(3,2)$ and $(19,6)$ ? Write your answer in simplest form.

Simplify the radical expression by rationalizing the denominator. $\frac{2}{\sqrt{5}}$ $2 \sqrt{5}$

Write an equivalent expression by distributing the " -" sign outside the parentheses: $-10 m-(-7.6 n+1)$
Answer Attempt 1 out of 2 $\square$ Submit Answer

Factor by grouping. $18 w+w y-9 w^{2}-2 y$

Multiply. $6 u \cdot 4 v^{3} \cdot 2 u^{6} v^{5}$
Simplify your answer as much as possible.

2. Factor completely. $-5 y^{2}-10 y$

Simplify to a single power of 5 : $\left(5^{2}\right)^{5}$
Answer Attempt 4 mit of 2
Answer: Submit Answer

Simplify: $z \cdot z^{3}$
Answer Attempt 1 out of 2 $\square$ Submit Answer

Perform the operation and simplify the answer fully. $\frac{3}{2} \div \frac{7}{6}$
Answer Attempt 1 out of 2 $\square$ Submit Answer

$(4-9 i)-(3-2 i)$

№5. Сократить дробь: 1) $\frac{3-\sqrt{3}}{\sqrt{6}-\sqrt{2}} ; \quad$ 2) $\frac{a-25}{5+\sqrt{a}}$ .

$\frac{2 \sqrt{y} x}{\frac{x^{2}}{2 \sqrt{y}}}=$

$\frac{9}{54}=$

2. $\frac{30}{36}=$

$\frac{3}{24}=$

$\frac{35}{56}=$

Convert to an entire radical: a. $2 \sqrt{3}$

Gurakan proses melenglapkan kudirot untik menyederfia. nakan Persamacn di bawah ini mensadi bentuk toku. Sobution temudion lenil kurva yang bersanglation don gambor iah grafikup! 2) $4 x^{2}+9 y^{2}-24 x-36 y+36=0$

$\begin{array}{l}\text { 8. }-8 \sqrt{27 x^{10} y^{5}=y^{17}} \\ \frac{27}{3}=\frac{9}{3}=\frac{3}{3}-3 \sqrt{3}\end{array}$

Factor completely. $2 n^{3}-n^{2}+14 n-7$ $\square$ Submit

Multiply. $(3 c-2)(7 c+6)$
Simplify your answer.

Write the logarithmic equation $\ln x=2$ in exponential form.

$\frac{\frac{4}{c}}{\frac{7}{c}+\frac{2}{c^{2}}}$

tion in standard form using the vertex formula. b) $\quad f(x)=-\frac{1}{2} x^{2}+2 x-1$

Learn with an example Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $-\sqrt{-27}$ $\square$ i $\sqrt{5}$ Submit

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $-\sqrt{-36}$ $\square$ i

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-62}$ $\square$ i $\square$ Submit

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-22}$ $\square$ i Submit

$\left(x^{3}-9\right) \div(x+1)$

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Evaluate logarithmic expressions if possible. $2 \log _{b} x+5 \log _{b} z$ $\square$

Question
Fully simplify using only positive exponents. $\frac{125 x^{8} y^{4}}{25 x^{2} y^{8}}$

$\left(3 x^{4}-8 x\right)+\left(2 x-4 x^{4}\right)$

$(2 x-1)(7 x-2)$

$x^{2}-\left(x^{2}+9 x-3\right)$