Simplify

Problem 3201

\text{Write the recurring decimal } 99.9\overline{9} \text{ as a fraction in its lowest terms.}

See Solution

Problem 3202

The function $f(x)=x^{2}+1$ and $g(x)=3-x$ , determine an equation for the combined function $y=f(x)-g(x)$ . $y=x^{2}-x+2$ $y=x^{2}+x-2$ $y=x^{2}+x+4$ $y=x^{2}-x+4$

See Solution

Problem 3203

Perform the indicated operations where $b>0$ . $\sqrt{98 b}-\sqrt{200 b}+\sqrt{72 b}$

See Solution

Problem 3204

$\left(3 x^{\wedge} 2+5 x-7\right) /(x-2)=?$

See Solution

Problem 3205

Factor completely, or state that the polynomial is prime. $2 x^{2}-8$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $2 x^{2}-8=$ $\square$ B. The polynomial is prime.

See Solution

Problem 3206

If $\sin u=\frac{x}{6}$ , express $4 \sin u+\cos \boldsymbol{u}$ in terms of $\boldsymbol{x}$ . Assume $0<\boldsymbol{u}<\frac{\pi}{2}$ .

See Solution

Problem 3207

Factor completely. If a polynomial is prime, state this. $20 x^{3}-5 x$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $20 x^{3}-5 x=$ $\square$ B. The polynomial is prime.

See Solution

Problem 3208

Simplify the expression $\left(-2 u^{4} v^{2}\right)^{2}$ . What is the result?

See Solution

Problem 3209

Simplify the expressions and find excluded values: 7. $\frac{3 x-9}{x^{2}-6 x+9}$ , 8. $\frac{4 x-8}{x^{2}-4 x+4}$ .

See Solution

Problem 3210

Simplify the expression: $\frac{6 x+9}{3 x-15} \cdot \frac{x-5}{4 x+6}$ .

See Solution

Problem 3211

Simplify the expression: $\frac{\frac{x}{3}-1}{x-3}$ .

See Solution

Problem 3212

Solve for $c$ in the equation $w=\frac{z-c}{r}$ . What is $c$ ?

See Solution

Problem 3213

Find the quotient or state if it's undefined: $\frac{0}{-13}$ . A. $\frac{0}{-13}=\square$ B. Undefined.

See Solution

Problem 3214

Evaluate the expression using order of operations: $-7 + (-6) \cdot 8 =$ (simplify your answer).

See Solution

Problem 3215

Simplify the expression using order of operations: $6-2 \cdot(-5)-9$ . What is the result?

See Solution

Problem 3216

Find the value of the expression using order of operations: $(-6)-3(-4)=?$ (Simplify to an integer or fraction.)

See Solution

Problem 3217

Find the value of the expression using order of operations: $3|57-(-12-84)| = \square$ .

See Solution

Problem 3218

Simplify the expression using the order of operations: $4(-4)^{2}-2(-6)^{2}=$

See Solution

Problem 3219

Cube -5 and subtract from -18. Simplify: -18 - (-5)^3.

See Solution

Problem 3220

Express and simplify: -18 - (-5)³. What is the result?

See Solution

Problem 3221

Express "Subtract 4 from 3, multiply by 6, then square" as a numerical expression and simplify. Choose A, B, C, or D.

See Solution

Problem 3222

Find the factored form of $3x^{3} + 15x^{2} - 18x$ .

See Solution

Problem 3223

Reduce the fraction 48/56 to its simplest form. What is the result?

See Solution

Problem 3224

Convert 0.6 to a simplified fraction. What is the lowest terms fraction for $0.6$ ?

See Solution

Problem 3225

Convert the decimal $0.66$ to a fraction and simplify if possible.

See Solution

Problem 3226

Convert the decimal 0.575 into a simplified fraction.

See Solution

Problem 3227

Multiply and simplify: $\left(-\frac{5}{7}\right)\left(-\frac{14}{15}\right) =$ (Reduce to lowest terms.)

See Solution

Problem 3228

Multiply and simplify: $4 \frac{2}{7} \times 1 \frac{2}{3} = \_$ (Provide as an integer, proper fraction, or mixed number.)

See Solution

Problem 3229

Divide and simplify: $\frac{6}{11} \div \frac{7}{22} =$ (Provide a whole number, proper fraction, or mixed number.)

See Solution

Problem 3230

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients: - $\frac{1}{3}$ cup butter - 3 ounces unsweetened chocolate - $\frac{3}{4}$ cups sugar - $1 \frac{1}{2}$ teaspoons vanilla - 2 eggs - $\frac{2}{3}$ cup flour
Find the amount of butter needed.

See Solution

Problem 3231

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use $\frac{1}{3}$ cup butter, 8 oz chocolate, $\frac{3}{4}$ cup sugar, $1 \frac{1}{2}$ tsp vanilla, 2 eggs, $\frac{2}{3}$ cup flour, and find $\frac{1}{6}$ cup butter needed.

See Solution

Problem 3232

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

See Solution

Problem 3233

What fraction of 1900 men actively tried to reduce stress if 684 did? Express as a fraction: $\frac{684}{1900}$ .

See Solution

Problem 3234

Convert 0.00052 to scientific notation: $0.00052 =$

See Solution

Problem 3235

Convert the number $0.20 \times 10^{4}$ into scientific notation: $0.20 \times 10^{4}=\square \times$ .

See Solution

Problem 3236

Express 0.000064 in scientific notation: $0.000064 =$

See Solution

Problem 3237

Convert $0.0004$ and $8,000,000$ to scientific notation and find their product in scientific notation.

See Solution

Problem 3238

Factor the expressions: $6 x^{2}+48 x$ and $x^{2}-49$ .

See Solution

Problem 3239

Express 2.36 trillion in scientific notation.

See Solution

Problem 3240

Convert 15.55 trillion to scientific notation.

See Solution

Problem 3241

For a country with a national debt of 15.55 trillion, express it in scientific notation: $1.555 \times 10^{13}$ . Also, express \$70,000 in scientific notation.

See Solution

Problem 3242

Simplify the expression using order of operations: $5(-3)^{2}-6(-5)^{2}=$

See Solution

Problem 3243

Write 0.225 as a fraction.

See Solution

Problem 3244

Calculate the expression using order of operations: $-1|-92-(-71-71)|=\square$ (Simplify your answer.)

See Solution

Problem 3245

Write 0.275 as a fraction.

See Solution

Problem 3246

Calcula la suma: $\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}=$

See Solution

Problem 3247

Write 239,000 in scientific notation: $239,000 =$

See Solution

Problem 3248

Find the expression equivalent to $4^{5} \times 4^{-7} \div 4^{-2}$ .

See Solution

Problem 3249

Which expression equals $4^{5} \times 4^{-7} \div 4^{-2}$ ? Options: 1) $\frac{4^{5} \cdot 4^{-2}}{4^{-7}}$ 2) $4^{-4}$ 3) $4^{5} \div 4^{-9}$ 4) $4^{0}$

See Solution

Problem 3250

Simplify: $\sqrt{24} \times \sqrt{12}$ to find the result.

See Solution

Problem 3251

Calculate the result of $\frac{7}{9}-\frac{2}{18}$ .

See Solution

Problem 3252

Calculate $9 - 3 \frac{2}{5}$ .

See Solution

Problem 3253

Factorise fully $4 a x^{2} + 12 b x^{2} - 3 b - a$ .

See Solution

Problem 3254

Factor the expression: $2ab - 4bc + 8cd - 4ad$ .

See Solution

Problem 3255

Factor completely: $25 a^{2} - (a - 1)^{2}$ .

See Solution

Problem 3256

Factorise fully $16 - 120k + 225k^{2}$ .

See Solution

Problem 3257

Factor the expression completely: $8 x^{2}-12 x y+24 x-36 y$ .

See Solution

Problem 3258

Put 38.76 in percent notation. 0.3876 $3,876 \%$ $3.876 \cdot 10^{1}$ $\frac{3876}{10000}$

See Solution

Problem 3259

$0.25\left(\frac{2}{3} y-5+\frac{1}{3} y-7-9 y\right)=0.25(\square y-\square ?)$

See Solution

Problem 3260

12) $\frac{37}{10}=$

See Solution

Problem 3261

Evaluate without a calculator: $25^{-3 / 2}$

See Solution

Problem 3262

13) $\frac{21}{4}=$

See Solution

Problem 3263

Simplify: $\frac{\left(x^{1} y^{-3 / 4}\right)^{6 / 5}}{x^{-1 / 20} y^{7 / 20}}$

See Solution

Problem 3264

16) $\frac{31}{3}=$

See Solution

Problem 3265

19) $\frac{42}{8}=$

See Solution

Problem 3266

Evaluate. $\frac{7!6!}{9!4!}$
Simplify your answer as much as possible.

See Solution

Problem 3267

Write an equivalent expression. $\frac{1}{3}(12 x+6 x-21)=\square x-\square$

See Solution

Problem 3268

a. Rewrite the given equation $7 x+9 y-63=0$ slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function.

See Solution

Problem 3269

Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equa $x^{2}+y^{2}+6 x-2 y-26=0$
The equation of the circle in standard form is $\square$ (Simplify your answer.) The center of the circle is $\square$ (Type an ordered pair.) The radius of the circle is $\mathrm{r}=$ $\square$ .
Use the graphing tool to graph the circle.
Click to enlarge graph

See Solution

Problem 3270

Complete the square and find the vertex form of the quadratic function. $\begin{array}{l} f(x)=x^{2}-8 x+59 \\ f(x)=\square \end{array}$

See Solution

Problem 3271

$3-\log _{3} 81$

See Solution

Problem 3272

$\frac{\log _{8} 64+4}{\log _{2} 8}$

See Solution

Problem 3273

Perform this subtraction: $\left(-7 x^{5}+9 x^{2}-3 x\right)-\left(-8 x^{5}-4 x^{2}+1\right)$

See Solution

Problem 3274

1) Developpont $G=(3 x-1)+(x+1)$

See Solution

Problem 3275

$\left(1^{4} \times 2^{2}+3^{3}\right)-2^{5} \div 4$

See Solution

Problem 3276

a) $9 \sqrt{3}-4 \sqrt{3}+\sqrt{5}+2 \sqrt{5}$ b) $10 \sqrt{2}+4 \sqrt{7}-6 \sqrt{2}$

See Solution

Problem 3277

Use the power reducing formulas to rewrite $\sin ^{4} x$ in terms of the first power of cosine. Simplify your answer as much as possible: To indicate your answer, first choose one of the four forms below. Then fill in the blanks with the appropriace numbers. $\sin ^{4} x=$ $\square$ $\square$ $\square$ $x+$ $\square$ $\square$ x $\sin ^{4} x=$ $\square$ $+$ $\square$ $\square \cos$ $\square$ ～ $x+$ $\square$ $\cos$ $\square$ $7 x$ $\sin ^{4} x=$ $\square$ - $\square$ $\cos$ $\square$ I $x$ $\sin ^{4} x=$ $\square$ $+$ $\square$ $\cos$ $\square$ x

See Solution

Problem 3278

63. Какова степень a) $-7 x^{5} y^{6}$

See Solution

Problem 3279

2) $(n-1)(2 n-2)$ 4) $(r+1)(r-3)$ 6) $(3 p-3)(p-1)$

See Solution

Problem 3280

Find the partial fraction decomposition. $\frac{-3 x^{3}+x^{2}}{\left(x^{2}+1\right)^{2}}$

See Solution

Problem 3281

Express the number as a ratio of integers. $2.53 \overline{38}$

See Solution

Problem 3282

Axercice: 1/ Sevelopper, néduine et oldommer lospeperesion suivanto. $\begin{array}{l} f(x)=(x+1)^{3} \\ g(x)=(x-2)^{3} \\ f(x)=(x-1)^{2}+(x+1)^{2} \end{array}$
2/ Factoriser les espnessions suivants $\begin{array}{l} f(x)=x^{3}-1 \\ K(x)=x^{3}+8 \\ Q(x)=x^{3}+27+x^{2}-9 \end{array}$

See Solution

Problem 3283

Suppose that the functions $f$ and $g$ are defined for all real numbers $x$ as follows. $\begin{array}{l} f(x)=3 x^{2} \\ g(x)=x^{3} \end{array}$
Write the expressions for $(f+g)(x)$ and $(f-g)(x)$ and evaluate $(f \cdot g)(-1)$ . $\begin{array}{l} (f+g)(x)= \\ (f-g)(x)= \\ (f \cdot g)(-1)= \end{array}$ $\square$ $\square$ $\square$

See Solution

Problem 3284

Write the following expression as a single definite integral of the form $\int_{a}^{b} f(x) d x$ . $\int_{-3}^{2} f(x) d x+\int_{2}^{5} f(x) d x-\int_{-3}^{-1} f(x) d x$ $\square$ $f(x) d x$

See Solution

Problem 3285

Write $a^{4} \cdot a$ without exponents. $a^{4} \cdot a=5$

See Solution

Problem 3286

5. Given the expression $2 \cot (x)-2 \cot (x) \cos ^{2}(x)$ , a. Use technology to graph the expression [3 marks] b. Determine an equivalent trigonometric expression [2 marks] c. Then prove that your expression is equal to the given expression. [3 marks]

See Solution

Problem 3287

$\left(-4 x^{5} y^{-5}\right)\left(3 x^{-2} y^{3}\right)$

See Solution

Problem 3288

$\left(3 a^{2}-1\right)\left(-3 a^{2}+5\right)$

See Solution

Problem 3289

Determine the LCM of the following polynomials. $\begin{array}{l} 2 x^{3} y^{6} \\ 9 x^{2} y^{9} \end{array}$

See Solution

Problem 3290

Question 9 of 11 This quiz: 11 point(s) possible This question: 1 point(s) possible
Write the set $\{x \mid x<4\}$ using interval notation, then graph the set on a number line.
Choose the correct interval notation for the set. $[4, \infty)$ $(-\infty, 4)$ $(4, \infty)$ $(-\infty, 4]$ Choose the correct graph below. A. B. C. D.

See Solution

Problem 3291

Determine the LCM of the given polynomials Leave your answer in factored form. $x^{2}+12 x+36 \text { and } x^{2}+9 x+18$

See Solution

Problem 3292

If $s(x)=x-7$ and $t(x)=4 x^{2}-x+3$ , which expression is equivalent to $(t \circ s)(x) ?$ $4(x-7)^{2}-x-7+3$ $4(x-7)^{2}-(x-7)+3$ $\left(4 x^{2}-x+3\right)-7$ $\left(4 x^{2}-x+3\right)(x-7)$

See Solution

Problem 3293

Combine like terms to simplify the expression. $-2 \mid-2(9.5 n+7 n)]$

See Solution

Problem 3294

Simplify the expression. $2 z+\frac{3}{15}+4 n+\frac{2}{15}+3 z-3 n$

See Solution

Problem 3295

$3(a-4)$
Select all that apry A. $30-4$ - 4 - 3 C $30-12$ D. $(a-4) 3$

See Solution

Problem 3296

(c) $\frac{\sqrt[4]{80 m^{7}}}{\sqrt[4]{5 m}}$ $2 m \sqrt[4]{m^{2}}$

See Solution

Problem 3297

Condense the following into a single log. $4 \log _{3}(x)-\frac{1}{2} \log _{3}(y)-3 \log _{3}(2)=$ $\square$

See Solution

Problem 3298

Change the exponential statement to an equivalent statement involving a logarithm. $8.4=6^{x}$
The equivalent logarithmic statement is $\square$ (Type an equation. Use integers or decimals for any numbers in the equation.)

See Solution

Problem 3299

Change the logarithmic statement to an equivalent statement involving an exponent. $\log _{5} 625=4$
The equivalent exponential statement is $\square$ . (Type an equation.)

See Solution

Problem 3300

Change the logarithmic statement to an equivalent statement involving an exponent. $\log _{7} 2401=x$
The equivalent exponential statement is $\square$ (Type an equation.)

See Solution

1 ...30 31 32 33 34 35 36 ...56

Simplify

Problem 3201

\text{Write the recurring decimal } 99.9\overline{9} \text{ as a fraction in its lowest terms.}

Problem 3202

The function f(x)=x2+1f(x)=x^{2}+1f(x)=x2+1 and g(x)=3−xg(x)=3-xg(x)=3−x, determine an equation for the combined function y=f(x)−g(x)y=f(x)-g(x)y=f(x)−g(x). y=x2−x+2y=x^{2}-x+2y=x2−x+2 y=x2+x−2y=x^{2}+x-2y=x2+x−2 y=x2+x+4y=x^{2}+x+4y=x2+x+4 y=x2−x+4y=x^{2}-x+4y=x2−x+4

Problem 3203

Perform the indicated operations where b>0b>0b>0. 98b−200b+72b\sqrt{98 b}-\sqrt{200 b}+\sqrt{72 b}98b​−200b​+72b​

Problem 3204

(3x∧2+5x−7)/(x−2)=?\left(3 x^{\wedge} 2+5 x-7\right) /(x-2)=?(3x∧2+5x−7)/(x−2)=?

Problem 3205

Factor completely, or state that the polynomial is prime. 2x2−82 x^{2}-82x2−8Select the correct choice below and, if necessary, fill in the answer box within your choice. A. 2x2−8=2 x^{2}-8=2x2−8= □\square□ B. The polynomial is prime.

Problem 3206

If sin⁡u=x6\sin u=\frac{x}{6}sinu=6x​, express 4sin⁡u+cos⁡u4 \sin u+\cos \boldsymbol{u}4sinu+cosu in terms of x\boldsymbol{x}x. Assume 0<u<π20<\boldsymbol{u}<\frac{\pi}{2}0<u<2π​.

Problem 3207

Factor completely. If a polynomial is prime, state this. 20x3−5x20 x^{3}-5 x20x3−5xSelect the correct choice below and, if necessary, fill in the answer box within your choice. A. 20x3−5x=20 x^{3}-5 x=20x3−5x= □\square□ B. The polynomial is prime.

Problem 3208

Simplify the expression (−2u4v2)2\left(-2 u^{4} v^{2}\right)^{2}(−2u4v2)2. What is the result?

Problem 3209

Simplify the expressions and find excluded values: 7. 3x−9x2−6x+9\frac{3 x-9}{x^{2}-6 x+9}x2−6x+93x−9​, 8. 4x−8x2−4x+4\frac{4 x-8}{x^{2}-4 x+4}x2−4x+44x−8​.

Problem 3210

Simplify the expression: 6x+93x−15⋅x−54x+6\frac{6 x+9}{3 x-15} \cdot \frac{x-5}{4 x+6}3x−156x+9​⋅4x+6x−5​.

Problem 3211

Simplify the expression: x3−1x−3\frac{\frac{x}{3}-1}{x-3}x−33x​−1​.

Problem 3212

Solve for ccc in the equation w=z−crw=\frac{z-c}{r}w=rz−c​. What is ccc?

Problem 3213

Find the quotient or state if it's undefined: 0−13\frac{0}{-13}−130​. A. 0−13=□\frac{0}{-13}=\square−130​=□ B. Undefined.

Problem 3214

Evaluate the expression using order of operations: −7+(−6)⋅8=-7 + (-6) \cdot 8 = −7+(−6)⋅8= (simplify your answer).

Problem 3215

Simplify the expression using order of operations: 6−2⋅(−5)−96-2 \cdot(-5)-96−2⋅(−5)−9. What is the result?

Problem 3216

Find the value of the expression using order of operations: (−6)−3(−4)=?(-6)-3(-4)=?(−6)−3(−4)=? (Simplify to an integer or fraction.)

Problem 3217

Find the value of the expression using order of operations: 3∣57−(−12−84)∣=□3|57-(-12-84)| = \square3∣57−(−12−84)∣=□.

Problem 3218

Simplify the expression using the order of operations: 4(−4)2−2(−6)2=4(-4)^{2}-2(-6)^{2}=4(−4)2−2(−6)2=

Problem 3219

Cube -5 and subtract from -18. Simplify: -18 - (-5)^3.

Problem 3220

Express and simplify: -18 - (-5)³. What is the result?

Problem 3221

Express "Subtract 4 from 3, multiply by 6, then square" as a numerical expression and simplify. Choose A, B, C, or D.

Problem 3222

Find the factored form of 3x3+15x2−18x3x^{3} + 15x^{2} - 18x3x3+15x2−18x.

Problem 3223

Reduce the fraction 48/56 to its simplest form. What is the result?

Problem 3224

Convert 0.6 to a simplified fraction. What is the lowest terms fraction for 0.60.60.6?

Problem 3225

Convert the decimal 0.660.660.66 to a fraction and simplify if possible.

Problem 3226

Convert the decimal 0.575 into a simplified fraction.

Problem 3227

Multiply and simplify: (−57)(−1415)= \left(-\frac{5}{7}\right)\left(-\frac{14}{15}\right) = (−75​)(−1514​)= (Reduce to lowest terms.)

Problem 3228

Multiply and simplify: 427×123=_4 \frac{2}{7} \times 1 \frac{2}{3} = \_472​×132​=_ (Provide as an integer, proper fraction, or mixed number.)

Problem 3229

Divide and simplify: 611÷722=\frac{6}{11} \div \frac{7}{22} =116​÷227​= (Provide a whole number, proper fraction, or mixed number.)

Problem 3230

Problem 3231

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use 13\frac{1}{3}31​ cup butter, 8 oz chocolate, 34\frac{3}{4}43​ cup sugar, 1121 \frac{1}{2}121​ tsp vanilla, 2 eggs, 23\frac{2}{3}32​ cup flour, and find 16\frac{1}{6}61​ cup butter needed.

Problem 3232

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: 16\frac{1}{6}61​ cup, chocolate: ? ounces.

Problem 3233

What fraction of 1900 men actively tried to reduce stress if 684 did? Express as a fraction: 6841900\frac{684}{1900}1900684​.

Problem 3234

Convert 0.00052 to scientific notation: 0.00052=0.00052 = 0.00052=

Problem 3235

Convert the number 0.20×1040.20 \times 10^{4}0.20×104 into scientific notation: 0.20×104=□×0.20 \times 10^{4}=\square \times0.20×104=□×.

Problem 3236

Express 0.000064 in scientific notation: 0.000064=0.000064 = 0.000064=

Problem 3237

Convert 0.00040.00040.0004 and 8,000,0008,000,0008,000,000 to scientific notation and find their product in scientific notation.

Problem 3238

Factor the expressions: 6x2+48x6 x^{2}+48 x6x2+48x and x2−49x^{2}-49x2−49.

Problem 3239

Express 2.36 trillion in scientific notation.

Problem 3240

Convert 15.55 trillion to scientific notation.

The function $f(x)=x^{2}+1$ and $g(x)=3-x$ , determine an equation for the combined function $y=f(x)-g(x)$ . $y=x^{2}-x+2$ $y=x^{2}+x-2$ $y=x^{2}+x+4$ $y=x^{2}-x+4$

Perform the indicated operations where $b>0$ . $\sqrt{98 b}-\sqrt{200 b}+\sqrt{72 b}$

$\left(3 x^{\wedge} 2+5 x-7\right) /(x-2)=?$

Factor completely, or state that the polynomial is prime. $2 x^{2}-8$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $2 x^{2}-8=$ $\square$ B. The polynomial is prime.

If $\sin u=\frac{x}{6}$ , express $4 \sin u+\cos \boldsymbol{u}$ in terms of $\boldsymbol{x}$ . Assume $0<\boldsymbol{u}<\frac{\pi}{2}$ .

Factor completely. If a polynomial is prime, state this. $20 x^{3}-5 x$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $20 x^{3}-5 x=$ $\square$ B. The polynomial is prime.

Simplify the expression $\left(-2 u^{4} v^{2}\right)^{2}$ . What is the result?

Simplify the expressions and find excluded values: 7. $\frac{3 x-9}{x^{2}-6 x+9}$ , 8. $\frac{4 x-8}{x^{2}-4 x+4}$ .

Simplify the expression: $\frac{6 x+9}{3 x-15} \cdot \frac{x-5}{4 x+6}$ .

Simplify the expression: $\frac{\frac{x}{3}-1}{x-3}$ .

Solve for $c$ in the equation $w=\frac{z-c}{r}$ . What is $c$ ?

Find the quotient or state if it's undefined: $\frac{0}{-13}$ . A. $\frac{0}{-13}=\square$ B. Undefined.

Evaluate the expression using order of operations: $-7 + (-6) \cdot 8 =$ (simplify your answer).

Simplify the expression using order of operations: $6-2 \cdot(-5)-9$ . What is the result?

Find the value of the expression using order of operations: $(-6)-3(-4)=?$ (Simplify to an integer or fraction.)

Find the value of the expression using order of operations: $3|57-(-12-84)| = \square$ .

Simplify the expression using the order of operations: $4(-4)^{2}-2(-6)^{2}=$

Find the factored form of $3x^{3} + 15x^{2} - 18x$ .

Convert 0.6 to a simplified fraction. What is the lowest terms fraction for $0.6$ ?

Convert the decimal $0.66$ to a fraction and simplify if possible.

Multiply and simplify: $\left(-\frac{5}{7}\right)\left(-\frac{14}{15}\right) =$ (Reduce to lowest terms.)

Multiply and simplify: $4 \frac{2}{7} \times 1 \frac{2}{3} = \_$ (Provide as an integer, proper fraction, or mixed number.)

Divide and simplify: $\frac{6}{11} \div \frac{7}{22} =$ (Provide a whole number, proper fraction, or mixed number.)

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use $\frac{1}{3}$ cup butter, 8 oz chocolate, $\frac{3}{4}$ cup sugar, $1 \frac{1}{2}$ tsp vanilla, 2 eggs, $\frac{2}{3}$ cup flour, and find $\frac{1}{6}$ cup butter needed.

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

What fraction of 1900 men actively tried to reduce stress if 684 did? Express as a fraction: $\frac{684}{1900}$ .

Convert 0.00052 to scientific notation: $0.00052 =$

Convert the number $0.20 \times 10^{4}$ into scientific notation: $0.20 \times 10^{4}=\square \times$ .

Express 0.000064 in scientific notation: $0.000064 =$

Convert $0.0004$ and $8,000,000$ to scientific notation and find their product in scientific notation.

Factor the expressions: $6 x^{2}+48 x$ and $x^{2}-49$ .

For a country with a national debt of 15.55 trillion, express it in scientific notation: $1.555 \times 10^{13}$ . Also, express \$70,000 in scientific notation.

Simplify the expression using order of operations: $5(-3)^{2}-6(-5)^{2}=$

Calculate the expression using order of operations: $-1|-92-(-71-71)|=\square$ (Simplify your answer.)

Calcula la suma: $\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}=$

Write 239,000 in scientific notation: $239,000 =$

Find the expression equivalent to $4^{5} \times 4^{-7} \div 4^{-2}$ .

Which expression equals $4^{5} \times 4^{-7} \div 4^{-2}$ ? Options: 1) $\frac{4^{5} \cdot 4^{-2}}{4^{-7}}$ 2) $4^{-4}$ 3) $4^{5} \div 4^{-9}$ 4) $4^{0}$

Simplify: $\sqrt{24} \times \sqrt{12}$ to find the result.

Calculate the result of $\frac{7}{9}-\frac{2}{18}$ .

Calculate $9 - 3 \frac{2}{5}$ .

Factorise fully $4 a x^{2} + 12 b x^{2} - 3 b - a$ .

Factor the expression: $2ab - 4bc + 8cd - 4ad$ .

Factor completely: $25 a^{2} - (a - 1)^{2}$ .

Factorise fully $16 - 120k + 225k^{2}$ .

Factor the expression completely: $8 x^{2}-12 x y+24 x-36 y$ .

Put 38.76 in percent notation. 0.3876 $3,876 \%$ $3.876 \cdot 10^{1}$ $\frac{3876}{10000}$

$0.25\left(\frac{2}{3} y-5+\frac{1}{3} y-7-9 y\right)=0.25(\square y-\square ?)$

12) $\frac{37}{10}=$

Evaluate without a calculator: $25^{-3 / 2}$

13) $\frac{21}{4}=$

Simplify: $\frac{\left(x^{1} y^{-3 / 4}\right)^{6 / 5}}{x^{-1 / 20} y^{7 / 20}}$

16) $\frac{31}{3}=$

19) $\frac{42}{8}=$

Evaluate. $\frac{7!6!}{9!4!}$
Simplify your answer as much as possible.

Write an equivalent expression. $\frac{1}{3}(12 x+6 x-21)=\square x-\square$

a. Rewrite the given equation $7 x+9 y-63=0$ slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function.

Complete the square and find the vertex form of the quadratic function. $\begin{array}{l} f(x)=x^{2}-8 x+59 \\ f(x)=\square \end{array}$

$3-\log _{3} 81$

$\frac{\log _{8} 64+4}{\log _{2} 8}$

Perform this subtraction: $\left(-7 x^{5}+9 x^{2}-3 x\right)-\left(-8 x^{5}-4 x^{2}+1\right)$

1) Developpont $G=(3 x-1)+(x+1)$