Algebra

Problem 24201

Solve for x in the equation: -3(-x+4)-5x+5=-15.

See Solution

Problem 24202

Solve for x in the equation: 3(-4x - 1) - 2x + 4 = 43.

See Solution

Problem 24203

Solve for x in the equation: 3(-5x + 4) + 5x - 1 = -39.

See Solution

Problem 24204

Symbolically express: "It is time to sleep and the job does not pay well" using $p$ and $q$ .

See Solution

Problem 24205

Let $p$ : This is a kiwi. $q$ : This is a fruit. Write "If not $p$ , then not $q$ " in symbols.

See Solution

Problem 24206

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use $x$ as the variable.

See Solution

Problem 24207

Let $p$ : I work hard, $q$ : I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

See Solution

Problem 24208

Find the discriminant and number of real solutions for the equation $-3 x^{2}+6 x-1=0$ .

See Solution

Problem 24209

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using $p$ , $q$ , and $r$ .

See Solution

Problem 24210

Find the operating cash flow (OCF) for Graff, Inc. with sales \$42,380, costs \$13,740, depreciation \$2,990, interest \$2,180, tax rate 21%.

See Solution

Problem 24211

Find the money multiplier for a reserve rate of $r = 0.12$ . Options: A. $\frac{1}{0.12}$ B. $10 \cdot 0.12$ C. $\frac{1}{0.12^{2}}$ D. $0.12^{2}$

See Solution

Problem 24212

Solve for $x$ : $x + 1 = -5 - (x + 6) + 8x$

See Solution

Problem 24213

Solve for $x$ : $6(4x + 5) = 3x - 4(-4x - 1) + 5$

See Solution

Problem 24214

Solve for $x$ in the equation: $-x + 6 = -2(x + 2) - 5$ .

See Solution

Problem 24215

Solve for $x$ : $-9x + 3(x + 1) + 8 = -x - 10$

See Solution

Problem 24216

Evaluate $(g \circ f)(2)$ using the given tables for $f(x)$ and $g(x)$ . Choices: A. $(g \circ f)(2)=$ B. Undefined.

See Solution

Problem 24217

Graph the solution to the inequality $(x-4)(x+7)>0$ on a number line.

See Solution

Problem 24218

1) Write the expression for $\frac{13}{t}$ , 2) $2x + 4$ , 3) $y - 10$ .

See Solution

Problem 24219

Evaluate $(g \circ f)(2)$ and $(f \circ g)(4)$ using the given tables. What are the results?

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Problem 24220

Solve for $x$ : $-3(-3 x+4)-2=-(x+2)$

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Problem 24221

Write verbal expressions for the following: 4) $9 \cdot w$ 5) $2 \gamma - 5$ 6) $7 + 3 x$

See Solution

Problem 24222

Analyze the function $g(x)=3 x^{2}-6 x+7$ . Does it have a min or max? What is the value and where does it occur? $x=$

See Solution

Problem 24223

Evaluate $(g \circ f)(2)$ , $(f \circ g)(4)$ , and $(g \circ g)(6)$ using given tables. Select the correct answers.

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Problem 24224

Find $(g \circ f)(4)$ for $f(x)=4x+3$ and $g(x)=x^2-3x-5$ . Simplify your answer.

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Problem 24225

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=-10x+15$ and $g(x)=7x+9$ , including their domains.

See Solution

Problem 24226

Find the length $y$ of a room's floor if its width is $y - 5$ and the perimeter is $4y + 1$ meters. Show your work.

See Solution

Problem 24227

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=-10 x+15$ and $g(x)=7 x+9$ . Determine their domains.

See Solution

Problem 24228

Find $(a)(f \circ g)(x)$ and its domain, and $(b)(g \circ f)(x)$ and its domain for $f(x)=\sqrt{x}, g(x)=x+9$ .

See Solution

Problem 24229

Check if $(f \circ g)(x)$ equals $(g \circ f)(x)$ for $f(x)=7x-2$ and $g(x)=2x-7$ . Simplify $(f \circ g)(x)=\square($ $)$ .

See Solution

Problem 24230

Show that $(f \circ g)(x) \neq (g \circ f)(x)$ for $f(x)=8x-7$ and $g(x)=7x-8$ . Find $(f \circ g)(x)$ . $(f \circ g)(x) = f(g(x)) = f(7x-8) = 8(7x-8)-7 = \square$

See Solution

Problem 24231

Theresa has \ $12 in nickels and quarters. Find the number of nickels ($ n $) and quarters ($ q $) she has, given$ 0.05n + 0.25q = 12$.

See Solution

Problem 24232

Evaluate $(f \circ g)(3)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ . Simplify your answer.

See Solution

Problem 24233

Find $(f \circ g)(3)$ and $(g \circ f)(-2)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ .

See Solution

Problem 24234

Show that $(f \circ g)(x) \neq (g \circ f)(x)$ for $f(x)=8x-7$ and $g(x)=7x-8$ . Find both compositions.

See Solution

Problem 24235

Simplify the expression: $2x + x(x + 6)$ .

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Problem 24236

Evaluate the function $g(x)=3 x^{2}-5$ at the following: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

See Solution

Problem 24237

Theresa has \$12 in nickels and quarters, with equal numbers of each. How many coins does she have?

See Solution

Problem 24238

Check if the following domains are correct for functions $q(x)=1 / \sqrt{x}$ and $h(x)=x^2$ : a. Domain of $q(x) / h(x)$ : $x>0, x \neq 5$ b. Domain of $q(h(x))$ : $|x|>5$ c. Domain of $h(q(x))$ : $x>0$

See Solution

Problem 24239

Evaluate $g(x)=3 x^{2}-5$ for: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

See Solution

Problem 24240

Evaluate the following using $f(x)=7x-3$ and $g(x)=|x|$ : (a) $(f \circ g)(-4)$ (b) $(g \circ f)(6)$ Find $(f \circ g)(-4)=$ (Simplify your answer.)

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Problem 24241

Mr. Jansen's class has 16 students, and total admission was \$320 at \$8 each. How many students are in Mrs. Schmidt's class?

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Problem 24242

Point $S$ is the midpoint of $\overline{R T}$ . Given $R S=6 y+3$ and $S T=3 y+9$ , find $y$ , $R S$ , and $R T$ .

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Problem 24243

Evaluate $g(x)=3 x^{2}-5$ for: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

See Solution

Problem 24244

Evaluate $3 x^{2}+4 y^{0} \cdot x-1$ for $x=4$ and $y=5$ .

See Solution

Problem 24245

Solve the equation $-6x + 39 = 7x$ and express your answer as an integer, fraction, or rounded decimal.

See Solution

Problem 24246

Solve the equation $-\frac{1}{3} w+\frac{5}{8}=\frac{1}{6} w+\frac{7}{8}$ and simplify to an integer, fraction, or two-decimal decimal.

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Problem 24247

Schulster's Shoes needs 1050 sq ft for offices and 600 sq ft for shipping. Shoes, Shoes, Shoes! needs 800 sq ft for offices and 400 sq ft for shipping. If Schulster's requires 5 sq ft per box and Shoes, Shoes, Shoes! needs 8 sq ft, solve for $x$ in: $1050 + 600 + 5x = 800 + 400 + 8x$

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Problem 24248

Solve the equation $-\frac{3}{8}(y-5)=-\frac{2}{3}(y+2)$ and simplify to an integer, fraction, or rounded decimal.

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Problem 24249

Solve for $x$ in the equation: $4(7-x)-(4x+2)=6+4(x-7)$ . Provide your answer as an integer or simplified fraction.

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Problem 24250

Solve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 24251

Find $(a)(f \circ g)(x)$ and its domain, and $(b)(g \circ f)(x)$ and its domain for $f(x)=\sqrt{x}, g(x)=x+3$ .

See Solution

Problem 24252

Solve the equation $y - 4y + 3 = -5(y + 3.4)$ and simplify to an integer, fraction, or decimal (2 decimal places).

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Problem 24253

Solve the inequality $5z - 5 < 3z + 7$ and express the solution in interval notation.

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Problem 24254

Given functions $f(x)=\sqrt{x}$ and $g(x)=x+3$ , find $(a)(f \circ g)(x)$ and its domain, and $(b)(g \circ f)(x)$ and its domain.

See Solution

Problem 24255

Solve the inequality $2(3 z-4) \geq-2 z+16$ and express the solution in interval notation.

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Problem 24256

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

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Problem 24257

Find the perimeter equation for a rectangle with perimeter $120 \mathrm{~cm}$ and solve for $x$ . Options: a. $2x+5+6x-1=120$ , b. $4(6x-1)=120$ , c. $2(6x-1)+2(2x+5)=120$ , d. $(2x+5)(6x-1)=120$ .

See Solution

Problem 24258

Find the value of $f(1)$ for the piecewise function $f(x)=\left\{\begin{array}{ll}c x+1, & x<2 \\ 2 x^{2}-1, & x \geq 2\end{array}\right.$ if it's continuous.

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Problem 24259

In a class of 200 students, boys to girls ratio is 2:3. Junior class has same boys, ratio is 5:4. Find junior class size.

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Problem 24260

Solve the equations: $2x + 5 + 6x - 1 = 120$ and $2(6x - 1) + 2(2x + 5) = 120$ .

See Solution

Problem 24261

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

See Solution

Problem 24262

Solve for x in the equation: $4(6x - 1) = 120$ .

See Solution

Problem 24263

Solve for $x$ in the equation: $5x + 3 = x + 23$ .

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Problem 24264

Solve the equation $(2 x+5)(6 x-1)=120$ .

See Solution

Problem 24265

Graph the solution for the inequality $-9 \leq x < 4$ .

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Problem 24266

Estimate the CPI for 2012 and 2014 using a linear model based on values 212.2 (2011) and 237.4 (2016).

See Solution

Problem 24267

Determine the type of interval represented by the inequality $1 \leq x < 9$ .

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Problem 24268

What type of interval is represented by the inequality $-10 \leq x < 1$ ?

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Problem 24269

Solve the inequality $-3 x \leq 9$ and express the solution in interval notation.

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Problem 24270

Graph the solution for the inequality $-3x \leq 9$ .

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Problem 24271

Solve for $x$ in the equation $9(4-x)=2(x+7)$ .

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Problem 24272

Solve the inequality $-4 x \geq 28$ and graph the solution.

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Problem 24273

Simplify $-6 \sqrt{48 x^{3} y}$ for real numbers $x$ and $y$ .

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Problem 24274

Estimate the CPI for 2013 and 2015 using the points (11, 223.7) and (16, 238.2) with a linear model.

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Problem 24275

How many hours to drain a pool with 820 gallons if $G=4t+100$ ?

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Problem 24276

Solve the inequality -5b > 0 and graph the solution.

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Problem 24277

Solve the inequality and graph the solution: $-5b > 0$ .

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Problem 24278

Solve the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

See Solution

Problem 24279

Graph the solution for the inequality $-4x < 20$ .

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Problem 24280

Find the slope of the line given by the equation $y=-2(x+3)+1$ .

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Problem 24281

Solve for $k$ in the equation $\frac{6 k+4}{2}=2 k-11$ .

See Solution

Problem 24282

Find expressions equivalent to $-2(h-5)$ : $-2(h-5)$ , $(h-5) \cdot-2$ , $-2 h+10$ .

See Solution

Problem 24283

Solve the inequality $-2 x \geq 18$ and express the solution in interval notation.

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Problem 24284

Evaluate $x^{2} + 12 \div y$ for $x=8$ and $y=-3$ using GEMDAS.

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Problem 24285

Simplify the expression: $4(2u + 4)$ .

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Problem 24286

Determine if the given values represent a linear or quadratic function, then calculate $b-a$ .

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Problem 24287

Choose the equivalent expressions for $6(8 w+5)+7$ : $48 w+12$ , $48 w+37$ , $6(5+8 w)+7$ , $37 w+48$ .

See Solution

Problem 24288

Solve the equation $-(-8-3 x)=-2(1-x)+6 x$ .

See Solution

Problem 24289

Choose the equivalent expressions for $7(-3 p+2)-8 p$ : - $-11 p+14$ - $-29 p+14$ - $-3(7 p+2)-8 p$ - $7(-4 p+p+2)-8 p$

See Solution

Problem 24290

Find expressions equivalent to $-6(5 v+1)-3$ . Options include: $-30 v-9$ , $(5 v+1) \cdot-6-3$ , $-6(1+5 v)-3$ , $-9 v-30$ .

See Solution

Problem 24291

How many tumblers must the Lafayette Band Boosters sell to break even if they bought 300 at \$15 and sell for \$20 each?

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Problem 24292

Find the slope of the line given by the equation $y=-2(x+3)+1$ . What is the slope?

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Problem 24293

Solve $\lg(4^{y}-4)-y \lg 2=\lg 3$ and $(4k)^{\lg 5}=(5k)^{\lg 7}$ .

See Solution

Problem 24294

Choose the equivalent expressions for $-8(-2 s-4)$ . Options include:
1. $-8(-5 s+3 s-4)$
2. $-8(-8 s+6 s-4)$
3. $(-2 s-4) \cdot-8$
4. $16 s+32$

See Solution

Problem 24295

Find expressions equivalent to $4(3 m+6)+2 m$ : $2(6 m+12)+2 m$ , $14 m+24$ , $4(6+3 m)+2 m$ , $(3 m+6) 4+2 m$ .

See Solution

Problem 24296

Find the slope and a point on the line given by the equation $y=-2(x+3)+1$ .

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Problem 24297

Profit function for a bracelet company is $P(x)=2(x-2000)$ .
(a) Find $P(1000)$ and explain its meaning. (b) Solve $P(x)=0$ and explain its meaning. (c) Determine the $y$ -intercept of $P$ and explain its meaning.

See Solution

Problem 24298

In a city vote with a yes to no ratio of 7 to 4 and 8514 total votes, find the number of no votes.

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Problem 24299

Find equivalent expressions for $-2(j+9)$ . Options: $(j+9) \cdot-2$ , $-2(9+j)$ , $-2 j-18$ , $7 j$ .

See Solution

Problem 24300

What type of interval is represented by the inequality $-3 \leq x < 4$ ?

See Solution

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Algebra

Problem 24201

Solve for x in the equation: -3(-x+4)-5x+5=-15.

Problem 24202

Solve for x in the equation: 3(-4x - 1) - 2x + 4 = 43.

Problem 24203

Solve for x in the equation: 3(-5x + 4) + 5x - 1 = -39.

Problem 24204

Symbolically express: "It is time to sleep and the job does not pay well" using ppp and qqq.

Problem 24205

Let ppp: This is a kiwi. qqq: This is a fruit. Write "If not ppp, then not qqq" in symbols.

Problem 24206

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use xxx as the variable.

Problem 24207

Let ppp: I work hard, qqq: I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

Problem 24208

Find the discriminant and number of real solutions for the equation −3x2+6x−1=0-3 x^{2}+6 x-1=0−3x2+6x−1=0.

Problem 24209

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using ppp, qqq, and rrr.

Problem 24210

Find the operating cash flow (OCF) for Graff, Inc. with sales \$42,380, costs \$13,740, depreciation \$2,990, interest \$2,180, tax rate 21%.

Problem 24211

Find the money multiplier for a reserve rate of r=0.12r = 0.12r=0.12. Options: A. 10.12\frac{1}{0.12}0.121​ B. 10⋅0.1210 \cdot 0.1210⋅0.12 C. 10.122\frac{1}{0.12^{2}}0.1221​ D. 0.1220.12^{2}0.122

Problem 24212

Solve for xxx: x+1=−5−(x+6)+8xx + 1 = -5 - (x + 6) + 8xx+1=−5−(x+6)+8x

Problem 24213

Solve for xxx: 6(4x+5)=3x−4(−4x−1)+56(4x + 5) = 3x - 4(-4x - 1) + 56(4x+5)=3x−4(−4x−1)+5

Problem 24214

Solve for xxx in the equation: −x+6=−2(x+2)−5-x + 6 = -2(x + 2) - 5−x+6=−2(x+2)−5.

Problem 24215

Solve for xxx: −9x+3(x+1)+8=−x−10-9x + 3(x + 1) + 8 = -x - 10−9x+3(x+1)+8=−x−10

Problem 24216

Evaluate (g∘f)(2)(g \circ f)(2)(g∘f)(2) using the given tables for f(x)f(x)f(x) and g(x)g(x)g(x). Choices: A. (g∘f)(2)=(g \circ f)(2)=(g∘f)(2)= B. Undefined.

Problem 24217

Graph the solution to the inequality (x−4)(x+7)>0(x-4)(x+7)>0(x−4)(x+7)>0 on a number line.

Problem 24218

1) Write the expression for 13t\frac{13}{t}t13​, 2) 2x+42x + 42x+4, 3) y−10y - 10y−10.

Problem 24219

Evaluate (g∘f)(2)(g \circ f)(2)(g∘f)(2) and (f∘g)(4)(f \circ g)(4)(f∘g)(4) using the given tables. What are the results?

Problem 24220

Solve for xxx: −3(−3x+4)−2=−(x+2)-3(-3 x+4)-2=-(x+2)−3(−3x+4)−2=−(x+2)

Problem 24221

Write verbal expressions for the following: 4) 9⋅w9 \cdot w9⋅w 5) 2γ−52 \gamma - 52γ−5 6) 7+3x7 + 3 x7+3x

Problem 24222

Analyze the function g(x)=3x2−6x+7g(x)=3 x^{2}-6 x+7g(x)=3x2−6x+7. Does it have a min or max? What is the value and where does it occur? x=x=x=

Problem 24223

Evaluate (g∘f)(2)(g \circ f)(2)(g∘f)(2), (f∘g)(4)(f \circ g)(4)(f∘g)(4), and (g∘g)(6)(g \circ g)(6)(g∘g)(6) using given tables. Select the correct answers.

Problem 24224

Find (g∘f)(4)(g \circ f)(4)(g∘f)(4) for f(x)=4x+3f(x)=4x+3f(x)=4x+3 and g(x)=x2−3x−5g(x)=x^2-3x-5g(x)=x2−3x−5. Simplify your answer.

Problem 24225

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x) and (g∘f)(x)(g \circ f)(x)(g∘f)(x) for f(x)=−10x+15f(x)=-10x+15f(x)=−10x+15 and g(x)=7x+9g(x)=7x+9g(x)=7x+9, including their domains.

Problem 24226

Find the length yyy of a room's floor if its width is y−5y - 5y−5 and the perimeter is 4y+14y + 14y+1 meters. Show your work.

Problem 24227

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x) and (g∘f)(x)(g \circ f)(x)(g∘f)(x) for f(x)=−10x+15f(x)=-10 x+15f(x)=−10x+15 and g(x)=7x+9g(x)=7 x+9g(x)=7x+9. Determine their domains.

Problem 24228

Find (a)(f∘g)(x)(a)(f \circ g)(x)(a)(f∘g)(x) and its domain, and (b)(g∘f)(x)(b)(g \circ f)(x)(b)(g∘f)(x) and its domain for f(x)=x,g(x)=x+9f(x)=\sqrt{x}, g(x)=x+9f(x)=x​,g(x)=x+9.

Problem 24229

Check if (f∘g)(x)(f \circ g)(x)(f∘g)(x) equals (g∘f)(x)(g \circ f)(x)(g∘f)(x) for f(x)=7x−2f(x)=7x-2f(x)=7x−2 and g(x)=2x−7g(x)=2x-7g(x)=2x−7. Simplify (f∘g)(x)=□((f \circ g)(x)=\square((f∘g)(x)=□( ))).

Problem 24230

Problem 24231

Theresa has \12innickelsandquarters.Findthenumberofnickels(12 in nickels and quarters. Find the number of nickels (12innickelsandquarters.Findthenumberofnickels(n)andquarters() and quarters ()andquarters(q)shehas,given) she has, given )shehas,given0.05n + 0.25q = 12$.

Problem 24232

Evaluate (f∘g)(3)(f \circ g)(3)(f∘g)(3) for f(x)=x+16f(x)=\sqrt{x+16}f(x)=x+16​ and g(x)=x2g(x)=x^{2}g(x)=x2. Simplify your answer.

Problem 24233

Find (f∘g)(3)(f \circ g)(3)(f∘g)(3) and (g∘f)(−2)(g \circ f)(-2)(g∘f)(−2) for f(x)=x+16f(x)=\sqrt{x+16}f(x)=x+16​ and g(x)=x2g(x)=x^{2}g(x)=x2.

Problem 24234

Show that (f∘g)(x)≠(g∘f)(x)(f \circ g)(x) \neq (g \circ f)(x)(f∘g)(x)=(g∘f)(x) for f(x)=8x−7f(x)=8x-7f(x)=8x−7 and g(x)=7x−8g(x)=7x-8g(x)=7x−8. Find both compositions.

Problem 24235

Simplify the expression: 2x+x(x+6)2x + x(x + 6)2x+x(x+6).

Problem 24236

Evaluate the function g(x)=3x2−5g(x)=3 x^{2}-5g(x)=3x2−5 at the following: (a) g(−4)g(-4)g(−4), (b) g(b)g(b)g(b), (c) g(x3)g(x^{3})g(x3), (d) g(3x−4)g(3 x-4)g(3x−4).

Problem 24237

Theresa has \$12 in nickels and quarters, with equal numbers of each. How many coins does she have?

Problem 24238

Problem 24239

Evaluate g(x)=3x2−5g(x)=3 x^{2}-5g(x)=3x2−5 for: (a) g(−4)g(-4)g(−4), (b) g(b)g(b)g(b), (c) g(x3)g(x^{3})g(x3), (d) g(3x−4)g(3 x-4)g(3x−4).

Problem 24240

Evaluate the following using f(x)=7x−3f(x)=7x-3f(x)=7x−3 and g(x)=∣x∣g(x)=|x|g(x)=∣x∣: (a) (f∘g)(−4)(f \circ g)(-4)(f∘g)(−4) (b) (g∘f)(6)(g \circ f)(6)(g∘f)(6) Find (f∘g)(−4)=(f \circ g)(-4)=(f∘g)(−4)= (Simplify your answer.)

Problem 24241

Symbolically express: "It is time to sleep and the job does not pay well" using $p$ and $q$ .

Let $p$ : This is a kiwi. $q$ : This is a fruit. Write "If not $p$ , then not $q$ " in symbols.

Find the quadratic equation with roots -4 and 3, and leading coefficient 3. Use $x$ as the variable.

Let $p$ : I work hard, $q$ : I get a promotion. Write "My hard work is necessary and sufficient for a promotion" symbolically.

Find the discriminant and number of real solutions for the equation $-3 x^{2}+6 x-1=0$ .

Translate the statement "I eat bananas and the chair is broken, or I work hard" into symbols using $p$ , $q$ , and $r$ .

Find the money multiplier for a reserve rate of $r = 0.12$ . Options: A. $\frac{1}{0.12}$ B. $10 \cdot 0.12$ C. $\frac{1}{0.12^{2}}$ D. $0.12^{2}$

Solve for $x$ : $x + 1 = -5 - (x + 6) + 8x$

Solve for $x$ : $6(4x + 5) = 3x - 4(-4x - 1) + 5$

Solve for $x$ in the equation: $-x + 6 = -2(x + 2) - 5$ .

Solve for $x$ : $-9x + 3(x + 1) + 8 = -x - 10$

Evaluate $(g \circ f)(2)$ using the given tables for $f(x)$ and $g(x)$ . Choices: A. $(g \circ f)(2)=$ B. Undefined.

Graph the solution to the inequality $(x-4)(x+7)>0$ on a number line.

1) Write the expression for $\frac{13}{t}$ , 2) $2x + 4$ , 3) $y - 10$ .

Evaluate $(g \circ f)(2)$ and $(f \circ g)(4)$ using the given tables. What are the results?

Solve for $x$ : $-3(-3 x+4)-2=-(x+2)$

Write verbal expressions for the following: 4) $9 \cdot w$ 5) $2 \gamma - 5$ 6) $7 + 3 x$

Analyze the function $g(x)=3 x^{2}-6 x+7$ . Does it have a min or max? What is the value and where does it occur? $x=$

Evaluate $(g \circ f)(2)$ , $(f \circ g)(4)$ , and $(g \circ g)(6)$ using given tables. Select the correct answers.

Find $(g \circ f)(4)$ for $f(x)=4x+3$ and $g(x)=x^2-3x-5$ . Simplify your answer.

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=-10x+15$ and $g(x)=7x+9$ , including their domains.

Find the length $y$ of a room's floor if its width is $y - 5$ and the perimeter is $4y + 1$ meters. Show your work.

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=-10 x+15$ and $g(x)=7 x+9$ . Determine their domains.

Find $(a)(f \circ g)(x)$ and its domain, and $(b)(g \circ f)(x)$ and its domain for $f(x)=\sqrt{x}, g(x)=x+9$ .

Check if $(f \circ g)(x)$ equals $(g \circ f)(x)$ for $f(x)=7x-2$ and $g(x)=2x-7$ . Simplify $(f \circ g)(x)=\square($ $)$ .

Theresa has \ $12 in nickels and quarters. Find the number of nickels ($ n $) and quarters ($ q $) she has, given$ 0.05n + 0.25q = 12$.

Evaluate $(f \circ g)(3)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ . Simplify your answer.

Find $(f \circ g)(3)$ and $(g \circ f)(-2)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ .

Show that $(f \circ g)(x) \neq (g \circ f)(x)$ for $f(x)=8x-7$ and $g(x)=7x-8$ . Find both compositions.

Simplify the expression: $2x + x(x + 6)$ .

Evaluate the function $g(x)=3 x^{2}-5$ at the following: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

Evaluate $g(x)=3 x^{2}-5$ for: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

Evaluate the following using $f(x)=7x-3$ and $g(x)=|x|$ : (a) $(f \circ g)(-4)$ (b) $(g \circ f)(6)$ Find $(f \circ g)(-4)=$ (Simplify your answer.)

Point $S$ is the midpoint of $\overline{R T}$ . Given $R S=6 y+3$ and $S T=3 y+9$ , find $y$ , $R S$ , and $R T$ .

Evaluate $g(x)=3 x^{2}-5$ for: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

Evaluate $3 x^{2}+4 y^{0} \cdot x-1$ for $x=4$ and $y=5$ .

Solve the equation $-6x + 39 = 7x$ and express your answer as an integer, fraction, or rounded decimal.

Solve the equation $-\frac{1}{3} w+\frac{5}{8}=\frac{1}{6} w+\frac{7}{8}$ and simplify to an integer, fraction, or two-decimal decimal.

Solve the equation $-\frac{3}{8}(y-5)=-\frac{2}{3}(y+2)$ and simplify to an integer, fraction, or rounded decimal.

Solve for $x$ in the equation: $4(7-x)-(4x+2)=6+4(x-7)$ . Provide your answer as an integer or simplified fraction.

Solve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Find $(a)(f \circ g)(x)$ and its domain, and $(b)(g \circ f)(x)$ and its domain for $f(x)=\sqrt{x}, g(x)=x+3$ .

Solve the equation $y - 4y + 3 = -5(y + 3.4)$ and simplify to an integer, fraction, or decimal (2 decimal places).

Solve the inequality $5z - 5 < 3z + 7$ and express the solution in interval notation.

Given functions $f(x)=\sqrt{x}$ and $g(x)=x+3$ , find $(a)(f \circ g)(x)$ and its domain, and $(b)(g \circ f)(x)$ and its domain.

Solve the inequality $2(3 z-4) \geq-2 z+16$ and express the solution in interval notation.

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

Find the value of $f(1)$ for the piecewise function $f(x)=\left\{\begin{array}{ll}c x+1, & x<2 \\ 2 x^{2}-1, & x \geq 2\end{array}\right.$ if it's continuous.

Solve the equations: $2x + 5 + 6x - 1 = 120$ and $2(6x - 1) + 2(2x + 5) = 120$ .

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

Solve for x in the equation: $4(6x - 1) = 120$ .

Solve for $x$ in the equation: $5x + 3 = x + 23$ .

Solve the equation $(2 x+5)(6 x-1)=120$ .

Graph the solution for the inequality $-9 \leq x < 4$ .

Determine the type of interval represented by the inequality $1 \leq x < 9$ .

What type of interval is represented by the inequality $-10 \leq x < 1$ ?

Solve the inequality $-3 x \leq 9$ and express the solution in interval notation.

Graph the solution for the inequality $-3x \leq 9$ .

Solve for $x$ in the equation $9(4-x)=2(x+7)$ .

Solve the inequality $-4 x \geq 28$ and graph the solution.

Simplify $-6 \sqrt{48 x^{3} y}$ for real numbers $x$ and $y$ .