Math

Problem 2101

Find the value of $y$ when $x=2$ in the linear equation $y=\frac{5}{2}x-9$ .

See Solution

Problem 2102

Solve the quadratic equation $(k+1) x^{2}+(4 k+1) x+(k-5)=0$ with two equal roots. Prove that $4 k^{2}+8 k+7=0$ has no real solutions. Find the range of $x$ satisfying $4 x^{2}-9 x-9 \geqslant 0$ .

See Solution

Problem 2103

Solve the following division problems: $296 \div 4$ , $6,042 \div 6$ , $4,145 \div 3$ , 7 \longdiv { 4 , 4 0 6 }, 5 \longdiv { 2 , 5 1 9 }, 8 \longdiv { 1 7 6 }.

See Solution

Problem 2104

Find the numbers with absolute values of $3$ , $\frac{5}{3}$ , and $9 \frac{1}{2}$ .

See Solution

Problem 2105

Solve the quadratic equation $(x-16)^{2}=25$ to find the values of $x$ .

See Solution

Problem 2106

8 letter tiles are mixed. Which event is likely, unlikely, certain, or impossible? a. Letter selected is a consonant: $P(C)$ b. Letter selected comes after $S$ in alphabet: $P(S < X)$ c. Letter selected is $G$ or $H$ : $P(G \lor H)$

See Solution

Problem 2107

Solve the quadratic equation $2x^2 - x = 2$ by graphing. Round each solution to the nearest tenth.

See Solution

Problem 2108

Solve for $x$ in the equation $0.4(x-7)=18$ .

See Solution

Problem 2109

Determine the quadrant of the point $(-7,2)$ without plotting it.

See Solution

Problem 2110

Determina si los puntos $(0,-1), (6,1), (-2,-2), (-4,-4), (12,2)$ son soluciones de la ecuación lineal $x - 3y = 4$ .

See Solution

Problem 2111

Find a quadratic function $y = a x^2 + b x + c$ passing through $(4,4)$ , with tangent line slopes -1 at $x=2$ and 11 at $x=8$ .

See Solution

Problem 2112

Convert $\frac{9}{24}$ to a decimal.

See Solution

Problem 2113

When multiplying two rational numbers, the product is always a rational number.

See Solution

Problem 2114

Find the rate of change of height of a right circular cylinder with constant surface area $600\pi^2$ and radius increasing at $4$ cm/sec.

See Solution

Problem 2115

The next sports car model will cost 11.3% less than the current $\$ 59,000$ model. Find the price decrease and the next model's price.

See Solution

Problem 2116

Find the value of $x$ that satisfies the equation $x \cdot \frac{3}{4} = 6$ .

See Solution

Problem 2117

Find the third term of a sequence given by the equation $a_3 = 2 + (3 - 1) \cdot 2$ .

See Solution

Problem 2118

Rewrite the equation $y=3x-7$ in standard form.

See Solution

Problem 2119

Solve the linear equation $7k + mj = kr + 4m + 3$ for $m$ .

See Solution

Problem 2120

Solve for $x$ in the equation $5.3^{x}-4.8^{x}=121$ . Select the correct choice and fill in the answer.
A. The solution is the interval $[\square, \square]$ . B. The solution(s) is/are $x=\square, \square$ .

See Solution

Problem 2121

Find a function $f(x)$ that represents the product of two numbers $x$ and $y$ whose sum is 24.

See Solution

Problem 2122

Find the value of $c$ when $10c=4$ . Express the solution as a simplified fraction.

See Solution

Problem 2123

Divide 128 into 4 equal groups. $\frac{128}{4} = 32$ . Check by multiplying 4 × 32 = 128.

See Solution

Problem 2124

Find the value of $c$ given the equation $y=0.67x-94$ .

See Solution

Problem 2125

Solve the equation $x-7=1$ for the value of $x$ .

See Solution

Problem 2126

Find the linear equation $y = mx + b$ that represents the relationship between $x$ and $y$ given the table: $(-4, 1), (-2, 1.5), (4, 3), (6, 3.5)$ .

See Solution

Problem 2127

Find the best estimate of $-14 \frac{1}{9}\left(-2 \frac{9}{10}\right)$ .

See Solution

Problem 2128

Show that the inverse function $f^{-1}(x) = \frac{8 x-8}{3}$ of $f(x) = \frac{3}{8} x+1$ using function composition.

See Solution

Problem 2129

Circle the perfect squares: $16, 25, 36$ .

See Solution

Problem 2130

Subtract and simplify the polynomials: $\left(\frac{2}{7} p^{2}-\frac{1}{2} p q+\frac{3}{14} q^{2}+14\right)-\left(\frac{9}{14} p^{2}+\frac{4}{7} p q-\frac{5}{14} q^{2}+11\right)$ .

See Solution

Problem 2131

Find Mason's mother's age given that Mason is 9 years old and his mother's age is 4 times his age.
$\text{Mason's age} = 9$ $\text{Mother's age} = 4 \times \text{Mason's age}$

See Solution

Problem 2132

Find the monthly salary of an executive who earns a yearly total of $86,200, including a$ 7,300 Christmas bonus.
Solution: Let the monthly salary be $x$ . Then, the yearly salary is $x * 12 + 7300$ . The problem states that the yearly salary is $86,200$ , so we have the equation: $x * 12 + 7300 = 86,200$ Solving for $x$ , we get $x = 6,575$ . Therefore, the monthly salary is $\$6,575$ .

See Solution

Problem 2133

Calculate state income tax on $\$ 30,000$ salary using progressive tax rates: $2\%$ on $\$0-\$2,000$ , $5\%$ on $\$2,001-\$9,000$ , $5.4\%$ on $\$9,001$ and above.

See Solution

Problem 2134

Solve for $x$ in the equation $0.09x = -6.3$ . The solution is $x = \boxed{-70}$ .

See Solution

Problem 2135

Find the simplified fraction representation of $\cos(5)$ .

See Solution

Problem 2136

Solve for the exact value of $x$ where $\log_7(4x) + 3\log_7(5) = 5$ .

See Solution

Problem 2137

Find the value of $x$ that satisfies the equation $0.75(x+20)=2+0.5(x-2)$ .

See Solution

Problem 2138

Is it possible for the consistent system $Ax=b$ to have multiple solutions for some $b$ ? Yes, sometimes. No, never.

See Solution

Problem 2139

Identify the independent and dependent variables in the equation $-2x + 5y = 20$ . Type the dependent variable. Type the independent variable(s).

See Solution

Problem 2140

How many $\$ 0.50$ items can be purchased with $\$ 305.25$ ?

See Solution

Problem 2141

Solve for 'p' in the equation $5(4x + p) = w$ .

See Solution

Problem 2142

Solve for the value of $b$ given the equation $14=b+3$ .

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Problem 2143

Find the truth table for the logical statement: $(\sim c \vee t) \wedge p$

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Problem 2144

Sunny Steps plans to order 20 pairs of sneakers and the same ratio of sneakers to sandals as last month. How many pairs of sandals will they order?
Let $x$ be the number of pairs of sandals ordered this month. Last month, the ratio of sneakers to sandals was $80:200 = 2:5$ . This month, the ratio is the same, so $x = 5/2 \times 20 = 50$ pairs of sandals.

See Solution

Problem 2145

Determine the truth value of $p \vee q$ , where $p: 6+5=11$ and $q: 7 \times 3=42$ . Choose the correct truth value: $p \vee q$ is true or $p \vee q$ is false.

See Solution

Problem 2146

Solve the equation $0.50 x + 0.45(30) = 48.5$ . Select the correct choice: A. $x = \square$ , B. The solution is all real numbers, C. There is no solution.

See Solution

Problem 2147

Löse die Gleichung: $1215 = 5 \cdot 9^{x}$ .

See Solution

Problem 2148

Solve the absolute value equation $|8+8c| - 14 = -5$

See Solution

Problem 2149

Solve the equation $-3x - 9 = -21$ by filling in the missing numbers.

See Solution

Problem 2150

Find the square root of 25. The solution is $\sqrt{25}$ .

See Solution

Problem 2151

Translate $\triangle RST$ to $\triangle R'S'T'$ : 5 units left, 3 units up; $(x,y) \rightarrow (x+5, y-3)$

See Solution

Problem 2152

Find the value of $-30 \div (6a)$ when $a=-5$ . Write the answer in simplest form.

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Problem 2153

Solve $x-y<2$ for $y$ , find slope and $y$ -intercept, determine if line is dashed or solid, and identify shading.

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Problem 2154

Find a number where two-fifths of it is -12.

See Solution

Problem 2155

Find the sum of the arithmetic sequence from 3 to 3750 in steps of 3.

See Solution

Problem 2156

Define two variables and translate the sentence into an inequality. Let savings be $\$ x$ and revenues be $\$ y$ , then $x \geq 28,000$ .

See Solution

Problem 2157

Convert augmented matrix to system of 3 linear equations in $x$ , $y$ , and $z$ with constant terms.

See Solution

Problem 2158

Evaluate the expression $-8+(8--3) \times 7$ .

See Solution

Problem 2159

Two families used sprinklers last summer. Miller family used it for 15 hours, Simmons family for 20 hours. Total water output was $1000 \mathrm{~L}$ . If the sum of their rates was $60 \mathrm{~L}$ per hour, what were the individual water output rates? Let $M =$ Miller's rate $(L / h)$ and $S =$ Simmons' rate $(L / h)$ .

See Solution

Problem 2160

Find the value of $b$ when $b=3-2a$ and $a=4$ .

See Solution

Problem 2161

Arianna's cell plan has a flat cost of $\$54.50$ per month and $\$5$ per gigabyte. She wants to keep her bill under $\$75$ per month. Find the maximum number of gigabytes $g$ she can use.

See Solution

Problem 2162

Determine all angles $x$ in the interval $[0, 2\pi]$ accurate to three decimal places, for which $\sin x = 0.8$ .

See Solution

Problem 2163

Find values of $r$ and $s$ that satisfy $3[2r, 5s] - [s, 3r] = [-18, 9]$ . If no solution exists, state "Not Possible".

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Problem 2164

Evaluate the following arithmetic expressions: $\frac{1}{6}+\frac{3}{8} \times \frac{7}{9}$ , $\frac{8}{9} \times\left(\frac{1}{3}+\frac{5}{9}\right)$ , $\frac{8}{9} \div \frac{4}{9}+\frac{3}{8}$ , $-\frac{1}{2}-(-\frac{3}{1})$ , $\frac{1}{4}+\frac{3}{8} \times \frac{1}{3}$ , $\frac{5}{6} \div \frac{3}{4}-\frac{1}{5}$ , $\left(\frac{2}{9}+\frac{8}{9}\right) \times \frac{1}{6}$ , $\left(\frac{1}{2}+\frac{2}{5}\right) \times \frac{7}{8}$ , $\frac{2}{3} \div \frac{8}{9}+\frac{5}{9}$ .

See Solution

Problem 2165

Find the number of boxes, $x$ , of donuts Joe needs to buy to feed his 60-person construction crew, given there are 12 donuts per box.

See Solution

Problem 2166

Find the absolute value of -6.804.

See Solution

Problem 2167

Find the approximate displacement of an object moving at $v = 2t + 1$ (m/s) for $0 \leq t \leq 8$ , using $n = 2$ subintervals.

See Solution

Problem 2168

Find Mr. Walters' daughter's age when his son turns 12, given that Mr. Walters is 3 times older than his son and 4 times older than his daughter.

See Solution

Problem 2169

Evaluate $8^{2}$ and simplify the result.

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Problem 2170

Prove $\triangle ABC \cong \triangle EDC$ given $\overline{AC} \cong \overline{EC}$ and $\angle ABC \cong \angle EDC$ .

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Problem 2171

Solve the equation $-14=-x$ using the multiplication property of equality, and check the solution.

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Problem 2172

(a) Find the number of 5-letter passwords with no repeated lowercase letters from 26 alphabet letters. (b) A company has 33 salespeople. Find the number of possible rankings of the top 3 salespeople.
(a) $\binom{26}{5}$ (b) $\binom{33}{3}$

See Solution

Problem 2173

Expand $2 a^{3} b^{4}\left(a^{-1} b-3 a^{-2} b^{2}\right)$ using the distributive property.

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Problem 2174

Find the expression of $\left(\frac{f}{g}\right)(x)$ , where $f(x)=x^{2}-16x+64$ and $g(x)=x-8$ , and express the answer in interval notation.

See Solution

Problem 2175

Solve the equation $\frac{2}{3 x}=p+n$ for the variable $x$ .

See Solution

Problem 2176

Determine if $-(-9)^{2}$ is positive or negative, then evaluate on calculator.

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Problem 2177

Rewrite a quadratic expression in standard, vertex, and factored forms. Evaluate the expression at x=0 and x=2.
(a) $a x^{2} + b x + c$ (b) $k(a x + b)(c x + d)$ (c) Evaluate $\boxed{(x-2)^{2}-25}$ at $x=0$ (d) Evaluate $\boxed{(x-2)^{2}-25}$ at $x=2$

See Solution

Problem 2178

Find the value of $f$ in the equation $\frac{48}{f}-4=6$ . Give the answer as a decimal.

See Solution

Problem 2179

Find the value of $y$ when $x=28$ , given that $y$ varies directly with $x$ and $y=20$ when $x=16$ .

See Solution

Problem 2180

Find the product of 0.52 and 43. $0.52 \times 43 = 22.36$

See Solution

Problem 2181

Subtract $30.12$ from $45.63$ .

See Solution

Problem 2182

Solve the inequality $3(3-x)<12$ for the value of $x$ .

See Solution

Problem 2183

Find the mass in grams of $1.56 \times 10^{21}$ magnesium atoms.

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Problem 2184

Choose the graph of the piecewise function $f(x) = \begin{cases} 3x-2, & x \leq 1 \\ x+2, & x > 1 \end{cases}$ .

See Solution

Problem 2185

Simplify the expression $x(-9-x)$ by distributing the $x$ term.

See Solution

Problem 2186

Estimate the solution, to the nearest tenth, for the equation $-2x+9=5^x$ using the provided table.

See Solution

Problem 2187

Roll a die. If 1 shows, win $5. Else, win nothing. (a) If$ 1 to play, find the game's expected value (rounded to nearest cent).

See Solution

Problem 2188

Solve the linear equation $5x + 6x = 23$ and express the solution as a whole number or simplified fraction.

See Solution

Problem 2189

Solve the quadratic equation $2x^2 - 8x - 6 = -9$ and round the solution to the nearest tenth.

See Solution

Problem 2190

Solve the equation $3(16-3x)=-6$ using properties of equality. Options are (A) $x=-8$ , (B) $x=-6$ , (C) $x=6$ , (D) $x=-9$ .

See Solution

Problem 2191

Find 7 points on the graph of $y=x^{2}$ , then determine the graph.

See Solution

Problem 2192

Find the value of the summation expression $\sum_{n=-4}^{4} 35 \cdot 6^{2 n}$ .

See Solution

Problem 2193

Find the charity's initial budget and a function for the trees planted weekly, given they planted 71 trees in week 2 and 122 in week 5.

See Solution

Problem 2194

Find the values of $a$ that satisfy the equation $-9a + 9 = -72$ .

See Solution

Problem 2195

Solve for variable $Q$ in the linear equation $M=\frac{7}{4}Q+35$ .

See Solution

Problem 2196

Solve for the value of $n$ in the linear equation $189=-9(n-12)$ .

See Solution

Problem 2197

Find the current yield and yield to maturity of an AT&T bond with 10 years until maturity, $\$ 1,000$ nominal value, 8% coupon rate, and selling price of $\$ 1,100$ .

See Solution

Problem 2198

Find the value of $H(x)=18-x$ when $x=-6$ .

See Solution

Problem 2199

Find the value of $x$ that satisfies the equation $\angle 2=2x+1$ .

See Solution

Problem 2200

Solve the quadratic equation $9x^2 + 60x + 95 = -5$ for real solutions.

See Solution

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Math

Problem 2101

Find the value of yyy when x=2x=2x=2 in the linear equation y=52x−9y=\frac{5}{2}x-9y=25​x−9.

Problem 2102

Solve the quadratic equation (k+1)x2+(4k+1)x+(k−5)=0(k+1) x^{2}+(4 k+1) x+(k-5)=0(k+1)x2+(4k+1)x+(k−5)=0 with two equal roots. Prove that 4k2+8k+7=04 k^{2}+8 k+7=04k2+8k+7=0 has no real solutions. Find the range of xxx satisfying 4x2−9x−9⩾04 x^{2}-9 x-9 \geqslant 04x2−9x−9⩾0.

Problem 2103

Solve the following division problems: 296÷4296 \div 4296÷4, 6,042÷66,042 \div 66,042÷6, 4,145÷34,145 \div 34,145÷3, 7 \longdiv { 4 , 4 0 6 }, 5 \longdiv { 2 , 5 1 9 }, 8 \longdiv { 1 7 6 }.

Problem 2104

Find the numbers with absolute values of 333, 53\frac{5}{3}35​, and 9129 \frac{1}{2}921​.

Problem 2105

Solve the quadratic equation (x−16)2=25(x-16)^{2}=25(x−16)2=25 to find the values of xxx.

Problem 2106

8 letter tiles are mixed. Which event is likely, unlikely, certain, or impossible? a. Letter selected is a consonant: P(C)P(C)P(C) b. Letter selected comes after SSS in alphabet: P(S<X)P(S < X)P(S<X) c. Letter selected is GGG or HHH: P(G∨H)P(G \lor H)P(G∨H)

Problem 2107

Solve the quadratic equation 2x2−x=22x^2 - x = 22x2−x=2 by graphing. Round each solution to the nearest tenth.

Problem 2108

Solve for xxx in the equation 0.4(x−7)=180.4(x-7)=180.4(x−7)=18.

Problem 2109

Determine the quadrant of the point (−7,2)(-7,2)(−7,2) without plotting it.

Problem 2110

Determina si los puntos (0,−1),(6,1),(−2,−2),(−4,−4),(12,2)(0,-1), (6,1), (-2,-2), (-4,-4), (12,2)(0,−1),(6,1),(−2,−2),(−4,−4),(12,2) son soluciones de la ecuación lineal x−3y=4x - 3y = 4x−3y=4.

Problem 2111

Find a quadratic function y=ax2+bx+cy = a x^2 + b x + cy=ax2+bx+c passing through (4,4)(4,4)(4,4), with tangent line slopes -1 at x=2x=2x=2 and 11 at x=8x=8x=8.

Problem 2112

Convert 924\frac{9}{24}249​ to a decimal.

Problem 2113

When multiplying two rational numbers, the product is always a rational number.

Problem 2114

Find the rate of change of height of a right circular cylinder with constant surface area 600π2600\pi^2600π2 and radius increasing at 444 cm/sec.

Problem 2115

The next sports car model will cost 11.3% less than the current $59,000\$ 59,000$59,000 model. Find the price decrease and the next model's price.

Problem 2116

Find the value of xxx that satisfies the equation x⋅34=6x \cdot \frac{3}{4} = 6x⋅43​=6.

Problem 2117

Find the third term of a sequence given by the equation a3=2+(3−1)⋅2a_3 = 2 + (3 - 1) \cdot 2a3​=2+(3−1)⋅2.

Problem 2118

Rewrite the equation y=3x−7y=3x-7y=3x−7 in standard form.

Problem 2119

Solve the linear equation 7k+mj=kr+4m+37k + mj = kr + 4m + 37k+mj=kr+4m+3 for mmm.

Problem 2120

Solve for xxx in the equation 5.3x−4.8x=1215.3^{x}-4.8^{x}=1215.3x−4.8x=121. Select the correct choice and fill in the answer.A. The solution is the interval [□,□][\square, \square][□,□]. B. The solution(s) is/are x=□,□x=\square, \squarex=□,□.

Problem 2121

Find a function f(x)f(x)f(x) that represents the product of two numbers xxx and yyy whose sum is 24.

Problem 2122

Find the value of ccc when 10c=410c=410c=4. Express the solution as a simplified fraction.

Problem 2123

Divide 128 into 4 equal groups. 1284=32\frac{128}{4} = 324128​=32. Check by multiplying 4 × 32 = 128.

Problem 2124

Find the value of ccc given the equation y=0.67x−94y=0.67x-94y=0.67x−94.

Problem 2125

Solve the equation x−7=1x-7=1x−7=1 for the value of xxx.

Problem 2126

Find the linear equation y=mx+by = mx + by=mx+b that represents the relationship between xxx and yyy given the table: (−4,1),(−2,1.5),(4,3),(6,3.5)(-4, 1), (-2, 1.5), (4, 3), (6, 3.5)(−4,1),(−2,1.5),(4,3),(6,3.5).

Problem 2127

Find the best estimate of −1419(−2910)-14 \frac{1}{9}\left(-2 \frac{9}{10}\right)−1491​(−2109​).

Problem 2128

Show that the inverse function f−1(x)=8x−83f^{-1}(x) = \frac{8 x-8}{3}f−1(x)=38x−8​ of f(x)=38x+1f(x) = \frac{3}{8} x+1f(x)=83​x+1 using function composition.

Problem 2129

Circle the perfect squares: 16,25,3616, 25, 3616,25,36.

Problem 2130

Subtract and simplify the polynomials: (27p2−12pq+314q2+14)−(914p2+47pq−514q2+11)\left(\frac{2}{7} p^{2}-\frac{1}{2} p q+\frac{3}{14} q^{2}+14\right)-\left(\frac{9}{14} p^{2}+\frac{4}{7} p q-\frac{5}{14} q^{2}+11\right)(72​p2−21​pq+143​q2+14)−(149​p2+74​pq−145​q2+11).

Problem 2131

Find Mason's mother's age given that Mason is 9 years old and his mother's age is 4 times his age.Mason’s age=9\text{Mason's age} = 9Mason’s age=9 Mother’s age=4×Mason’s age\text{Mother's age} = 4 \times \text{Mason's age}Mother’s age=4×Mason’s age

Problem 2132

Problem 2133

Calculate state income tax on $30,000\$ 30,000$30,000 salary using progressive tax rates: 2%2\%2% on $0−$2,000\$0-\$2,000$0−$2,000, 5%5\%5% on $2,001−$9,000\$2,001-\$9,000$2,001−$9,000, 5.4%5.4\%5.4% on $9,001\$9,001$9,001 and above.

Problem 2134

Solve for xxx in the equation 0.09x=−6.30.09x = -6.30.09x=−6.3. The solution is x=−70x = \boxed{-70}x=−70​.

Problem 2135

Find the simplified fraction representation of cos⁡(5)\cos(5)cos(5).

Problem 2136

Solve for the exact value of xxx where log⁡7(4x)+3log⁡7(5)=5\log_7(4x) + 3\log_7(5) = 5log7​(4x)+3log7​(5)=5.

Problem 2137

Find the value of xxx that satisfies the equation 0.75(x+20)=2+0.5(x−2)0.75(x+20)=2+0.5(x-2)0.75(x+20)=2+0.5(x−2).

Problem 2138

Is it possible for the consistent system Ax=bAx=bAx=b to have multiple solutions for some bbb? Yes, sometimes. No, never.

Problem 2139

Identify the independent and dependent variables in the equation −2x+5y=20-2x + 5y = 20−2x+5y=20. Type the dependent variable. Type the independent variable(s).

Problem 2140

How many $0.50\$ 0.50$0.50 items can be purchased with $305.25\$ 305.25$305.25?

Find the value of $y$ when $x=2$ in the linear equation $y=\frac{5}{2}x-9$ .

Solve the quadratic equation $(k+1) x^{2}+(4 k+1) x+(k-5)=0$ with two equal roots. Prove that $4 k^{2}+8 k+7=0$ has no real solutions. Find the range of $x$ satisfying $4 x^{2}-9 x-9 \geqslant 0$ .

Solve the following division problems: $296 \div 4$ , $6,042 \div 6$ , $4,145 \div 3$ , 7 \longdiv { 4 , 4 0 6 }, 5 \longdiv { 2 , 5 1 9 }, 8 \longdiv { 1 7 6 }.

Find the numbers with absolute values of $3$ , $\frac{5}{3}$ , and $9 \frac{1}{2}$ .

Solve the quadratic equation $(x-16)^{2}=25$ to find the values of $x$ .

8 letter tiles are mixed. Which event is likely, unlikely, certain, or impossible? a. Letter selected is a consonant: $P(C)$ b. Letter selected comes after $S$ in alphabet: $P(S < X)$ c. Letter selected is $G$ or $H$ : $P(G \lor H)$

Solve the quadratic equation $2x^2 - x = 2$ by graphing. Round each solution to the nearest tenth.

Solve for $x$ in the equation $0.4(x-7)=18$ .

Determine the quadrant of the point $(-7,2)$ without plotting it.

Determina si los puntos $(0,-1), (6,1), (-2,-2), (-4,-4), (12,2)$ son soluciones de la ecuación lineal $x - 3y = 4$ .

Find a quadratic function $y = a x^2 + b x + c$ passing through $(4,4)$ , with tangent line slopes -1 at $x=2$ and 11 at $x=8$ .

Convert $\frac{9}{24}$ to a decimal.

Find the rate of change of height of a right circular cylinder with constant surface area $600\pi^2$ and radius increasing at $4$ cm/sec.

The next sports car model will cost 11.3% less than the current $\$ 59,000$ model. Find the price decrease and the next model's price.

Find the value of $x$ that satisfies the equation $x \cdot \frac{3}{4} = 6$ .

Find the third term of a sequence given by the equation $a_3 = 2 + (3 - 1) \cdot 2$ .

Rewrite the equation $y=3x-7$ in standard form.

Solve the linear equation $7k + mj = kr + 4m + 3$ for $m$ .

Solve for $x$ in the equation $5.3^{x}-4.8^{x}=121$ . Select the correct choice and fill in the answer.
A. The solution is the interval $[\square, \square]$ . B. The solution(s) is/are $x=\square, \square$ .

Find a function $f(x)$ that represents the product of two numbers $x$ and $y$ whose sum is 24.

Find the value of $c$ when $10c=4$ . Express the solution as a simplified fraction.

Divide 128 into 4 equal groups. $\frac{128}{4} = 32$ . Check by multiplying 4 × 32 = 128.

Find the value of $c$ given the equation $y=0.67x-94$ .

Solve the equation $x-7=1$ for the value of $x$ .

Find the linear equation $y = mx + b$ that represents the relationship between $x$ and $y$ given the table: $(-4, 1), (-2, 1.5), (4, 3), (6, 3.5)$ .

Find the best estimate of $-14 \frac{1}{9}\left(-2 \frac{9}{10}\right)$ .

Show that the inverse function $f^{-1}(x) = \frac{8 x-8}{3}$ of $f(x) = \frac{3}{8} x+1$ using function composition.

Circle the perfect squares: $16, 25, 36$ .

Subtract and simplify the polynomials: $\left(\frac{2}{7} p^{2}-\frac{1}{2} p q+\frac{3}{14} q^{2}+14\right)-\left(\frac{9}{14} p^{2}+\frac{4}{7} p q-\frac{5}{14} q^{2}+11\right)$ .

Find Mason's mother's age given that Mason is 9 years old and his mother's age is 4 times his age.
$\text{Mason's age} = 9$ $\text{Mother's age} = 4 \times \text{Mason's age}$

Calculate state income tax on $\$ 30,000$ salary using progressive tax rates: $2\%$ on $\$0-\$2,000$ , $5\%$ on $\$2,001-\$9,000$ , $5.4\%$ on $\$9,001$ and above.

Solve for $x$ in the equation $0.09x = -6.3$ . The solution is $x = \boxed{-70}$ .

Find the simplified fraction representation of $\cos(5)$ .

Solve for the exact value of $x$ where $\log_7(4x) + 3\log_7(5) = 5$ .

Find the value of $x$ that satisfies the equation $0.75(x+20)=2+0.5(x-2)$ .

Is it possible for the consistent system $Ax=b$ to have multiple solutions for some $b$ ? Yes, sometimes. No, never.

Identify the independent and dependent variables in the equation $-2x + 5y = 20$ . Type the dependent variable. Type the independent variable(s).

How many $\$ 0.50$ items can be purchased with $\$ 305.25$ ?

Solve for 'p' in the equation $5(4x + p) = w$ .

Solve for the value of $b$ given the equation $14=b+3$ .

Find the truth table for the logical statement: $(\sim c \vee t) \wedge p$

Determine the truth value of $p \vee q$ , where $p: 6+5=11$ and $q: 7 \times 3=42$ . Choose the correct truth value: $p \vee q$ is true or $p \vee q$ is false.

Solve the equation $0.50 x + 0.45(30) = 48.5$ . Select the correct choice: A. $x = \square$ , B. The solution is all real numbers, C. There is no solution.

Löse die Gleichung: $1215 = 5 \cdot 9^{x}$ .

Solve the absolute value equation $|8+8c| - 14 = -5$

Solve the equation $-3x - 9 = -21$ by filling in the missing numbers.

Find the square root of 25. The solution is $\sqrt{25}$ .

Translate $\triangle RST$ to $\triangle R'S'T'$ : 5 units left, 3 units up; $(x,y) \rightarrow (x+5, y-3)$

Find the value of $-30 \div (6a)$ when $a=-5$ . Write the answer in simplest form.

Solve $x-y<2$ for $y$ , find slope and $y$ -intercept, determine if line is dashed or solid, and identify shading.

Define two variables and translate the sentence into an inequality. Let savings be $\$ x$ and revenues be $\$ y$ , then $x \geq 28,000$ .

Convert augmented matrix to system of 3 linear equations in $x$ , $y$ , and $z$ with constant terms.

Evaluate the expression $-8+(8--3) \times 7$ .

Find the value of $b$ when $b=3-2a$ and $a=4$ .

Arianna's cell plan has a flat cost of $\$54.50$ per month and $\$5$ per gigabyte. She wants to keep her bill under $\$75$ per month. Find the maximum number of gigabytes $g$ she can use.

Determine all angles $x$ in the interval $[0, 2\pi]$ accurate to three decimal places, for which $\sin x = 0.8$ .

Find values of $r$ and $s$ that satisfy $3[2r, 5s] - [s, 3r] = [-18, 9]$ . If no solution exists, state "Not Possible".

Find the number of boxes, $x$ , of donuts Joe needs to buy to feed his 60-person construction crew, given there are 12 donuts per box.

Find the approximate displacement of an object moving at $v = 2t + 1$ (m/s) for $0 \leq t \leq 8$ , using $n = 2$ subintervals.

Evaluate $8^{2}$ and simplify the result.

Prove $\triangle ABC \cong \triangle EDC$ given $\overline{AC} \cong \overline{EC}$ and $\angle ABC \cong \angle EDC$ .

Solve the equation $-14=-x$ using the multiplication property of equality, and check the solution.

(a) Find the number of 5-letter passwords with no repeated lowercase letters from 26 alphabet letters. (b) A company has 33 salespeople. Find the number of possible rankings of the top 3 salespeople.
(a) $\binom{26}{5}$ (b) $\binom{33}{3}$

Expand $2 a^{3} b^{4}\left(a^{-1} b-3 a^{-2} b^{2}\right)$ using the distributive property.

Find the expression of $\left(\frac{f}{g}\right)(x)$ , where $f(x)=x^{2}-16x+64$ and $g(x)=x-8$ , and express the answer in interval notation.