Browse Algebra problems in the Studdy Learning Bank!

Problem 2101

Solve for the variable $j$ given the equation $4j=18.8$ .

See Solution

Problem 2102

Find the value of $9b$ if $4-2b=b$ .

See Solution

Problem 2103

Solve the linear equation $-4x = -8$ for the unknown variable $x$ .

See Solution

Problem 2104

Solve for $y$ in $3y=57$ . Simplify the solution to $y=19$ .

See Solution

Problem 2105

Simplify the expression $3(x-8)$ and show the step-by-step work.

See Solution

Problem 2106

Find the y-intercept of the parabola $y=x^2 + 6x + \frac{19}{4}$ . Simplify the answer as a fraction or integer.

See Solution

Problem 2107

Solve for the value of $w$ when $\frac{w}{3}=3.75$ .

See Solution

Problem 2108

Find the average of $x+15$ , $7x$ , and $x$ in terms of $x$ .

See Solution

Problem 2109

Find the value of $x$ where $\frac{x}{8}=4$ .

See Solution

Problem 2110

Solve the linear system and find the value of $q$ .

See Solution

Problem 2111

Solve the linear equation: $-86 = -8y + 2$

See Solution

Problem 2112

Find the quadratic equation with two $x$ -intercepts from the given options: $-2 x^{2}-5=0$ , $x^{2}-4 x+4=0$ , $-x^{2}-x=0$ , $x^{2}+12=0$ , $-x^{2}-12=0$ .

See Solution

Problem 2113

Find the value of the linear function $g(x) = 19.60 + 1.74x$ evaluated at $x = 30$ .

See Solution

Problem 2114

Simplify $(2 x+3)^{2}$ and subtract it from $2 x^{2}-4$ to get the result in standard polynomial form.

See Solution

Problem 2115

Solve the linear equation $-9x - g = -27g$ for $x$ and $g$ .

See Solution

Problem 2116

Find the solutions for the absolute value equation $|x| = 9$ .

See Solution

Problem 2117

Solve for the variable $y$ in the equation $-2=\frac{4}{3}y$ .

See Solution

Problem 2118

Find the composition of the functions $g(t) = t - 3$ and $f(t) = t^2 + 5t$ .

See Solution

Problem 2119

Find the simplified expression for $2x + 9 + 7x$ .

See Solution

Problem 2120

Find the location of $\sqrt{31}$ on the number line, between 5 and 6.

See Solution

Problem 2121

Plot the complex number $-2$ on the complex plane.

See Solution

Problem 2122

Use long division to show $a-5$ is a factor of $a^3 - 5a^2 - 6a + 30$ .

See Solution

Problem 2123

Solve the linear equation $0=4+\frac{n}{5}$ for the unknown variable $n$ .

See Solution

Problem 2124

Solve the exponential equation $3^{9x} = 3^{7x+8}$ for $x$ .

See Solution

Problem 2125

Solve for the expression: $34 + 3 - 7$

See Solution

Problem 2126

Find the value of $x$ that satisfies the equation $2(x-3)=9-x$ .

See Solution

Problem 2127

Find the remaining distance for a linear function with slope -0.95 miles/minute, given 64 miles remaining after 37 minutes of driving. Determine the remaining distance after 57 minutes of driving.

See Solution

Problem 2128

Solve the linear equation $2(w+1)+4w=3(2w-1)+8$ for $w$ . The equation has no unique solution, and all real numbers are solutions.

See Solution

Problem 2129

Find the value of $z$ that satisfies the equation $10(z-1)=50$ .

See Solution

Problem 2130

Evaluate the piecewise function $g(x)$ at different values in its domain: $g(-4), g(-2), g(0), g(3), g(4)$ .

See Solution

Problem 2131

Find $x$ that satisfies $5x - 3 = 12x + 11$ . The solution set is...

See Solution

Problem 2132

Find the zeros of the quadratic relation $y=-3(x-5)(x+7)$ and determine if the parabola opens upward or downward.

See Solution

Problem 2133

Solve the linear equation $-8(-x+7)=8(x-7)$ and determine the number of solutions.

See Solution

Problem 2134

The red car is $150$ feet up a straight road from a police car $50$ feet to the side. The police radar reads the distance between the cars is decreasing at $90$ feet/second. Find the red car's actual speed along the road in feet/second.

See Solution

Problem 2135

Simplify the expression $\left(\frac{3}{8}\right)^{-\frac{1}{2}} \times (2 \sqrt{3})^{3}$ .

See Solution

Problem 2136

Solve the linear equation $p - 5 = \frac{7}{2}(t - 4)$ for the variable $p$ .

See Solution

Problem 2137

Multiply $(8-y)(8+y)$ and simplify the result.

See Solution

Problem 2138

Solve for the value of $x$ in the equation $20 = 5x$ .

See Solution

Problem 2139

Find equations with the same solution as $x^2 - 16x - 8 = -7$ .

See Solution

Problem 2140

Find the two integers between which $x$ lies when $2^{x} = 50$ .

See Solution

Problem 2141

Solve the linear equation $84x + 6 = 2(2x + 43)$ for $x$ .

See Solution

Problem 2142

Solve the equation $-6u-13=3-8u$ . The solution set is $\{u\}$ .

See Solution

Problem 2143

Solve the equation $-3(3y+8)=48$ and express the solution as an integer or simplified fraction.

See Solution

Problem 2144

Solve the quadratic equation $7(5 x-4)^{2}+7=350$ for $x$ .

See Solution

Problem 2145

Solve the linear equation $3.25(x-2)=19.5$ for the unknown variable $x$ .

See Solution

Problem 2146

Identify which statements about the polynomial function $y=(x-5)^{2}(x+3)$ are true: $x$ -intercepts, degree, domain, range.

See Solution

Problem 2147

Solve the linear inequality $5x/8 \geq 30$ . Graph the solution set.

See Solution

Problem 2148

Find the time $t$ when the ball reaches the ground, given the height function $H = -5(t - 3)(t + 5)$ .

See Solution

Problem 2149

Evaluate $2^{x}$ for (a) $x=-2$ and (b) $x=3$

See Solution

Problem 2150

Find the algebraic expression for "Eight divided by the difference of $x$ and $m$ ". Options: A) $\frac{8}{m}-x$ , B) $8-\frac{x}{m}$ , C) $\frac{x-m}{8}$ , D) $\frac{8}{x-m}$

See Solution

Problem 2151

Find two numbers whose sum is -12 and difference is -4. $x=$ $y=$

See Solution

Problem 2152

Simplify $\sqrt{24 p^{13} q^{6}}$ , assuming all variables are positive. Express exponents as positive values.

See Solution

Problem 2153

Determine if the equation $7x(y+2) = 3 - 7y(10-x)$ is linear or not linear.

See Solution

Problem 2154

Solve the system of linear equations $-4x - 8y = 8$ and $3x - 5y = 16$ using the elimination method.

See Solution

Problem 2155

Simplify $5x^2 + 7x - 2x^2 + 9y + 8y^2 - 3x$ .

See Solution

Problem 2156

Find the inverse function of $y=\sqrt{x-1}+3$

See Solution

Problem 2157

Solve the absolute value equation $|h-4|=7$ . Rewrite as a compound statement, solve for $h$ , and write the solution set.

See Solution

Problem 2158

Find the $x$ that satisfies the equation $\frac{1}{3x+5} \cdot 25^{4x-1} = \sqrt[8]{625}$ .

See Solution

Problem 2159

Find the value of $x$ that makes the exponent of $f(x)=2^{x-1}$ zero.

See Solution

Problem 2160

Simplify the expression $6x^{2} - 24x$ .

See Solution

Problem 2161

Solve for $w$ given the equation $w - 454 = -832$ .

See Solution

Problem 2162

Solve the linear equation $\frac{3}{6}x - 11 = 16$ for $x$ .

See Solution

Problem 2163

Find the value of $x-y$ if $7(x-y)=2$ .

See Solution

Problem 2164

Find the value of the function $F(x)=-x^{2}+6x-3$ when $x=-3$ .

See Solution

Problem 2165

Solve for $v$ in the equation $\frac{v}{3}-13=-11$ . Find the value of $v$ .

See Solution

Problem 2166

Find the cost of 33 inches of wire if 19 inches costs $0.76, given the same rate.

See Solution

Problem 2167

Solve the quadratic equation $11 n^{2} - 2 n - 1 = -11 n$ and find the roots. Then, calculate the given radical expressions.

See Solution

Problem 2168

Factor $56w + 72x$ and express the result as a product with a whole number greater than 1.

See Solution

Problem 2169

Solve for the variable $m$ given $m=4n+k$ , $n=5$ , and $k=12$ .

See Solution

Problem 2170

Solve for $y$ in the equation $-2x - 8y = 2$ .

See Solution

Problem 2171

Identify the special product that describes the multiplication of $(2x+3)(2x-3)$ .

See Solution

Problem 2172

Which quadratic inequality has solution $\frac{-7}{2}<x<3$ ? A. $(2x+7)(x-3)>0$ B. $(2x-7)(x+3)>0$ C. $4(2x+7)(x-3)<0$ D. $-3(2x-7)(x+3)>0$

See Solution

Problem 2173

Determine which of the given numbers, $-1, 0$ , satisfy the equation $x(3+x)-2(x+2)-8 x=4$ .

See Solution

Problem 2174

Solve for $m$ in the equation $m^{3/4} + n^{3/4} = 5$ , where all variables are nonzero. Express $m$ as an integer or fraction.

See Solution

Problem 2175

Find the value of $x$ that satisfies the equation $-0.3 x^{2} + x + 6 = -8$ .

See Solution

Problem 2176

Create a rational function with domain restrictions of $-6$ and $-3$ . State the domain using Set-Builder Notation.

See Solution

Problem 2177

Find the inverse function $j^{-1}(x)$ given $j(x)=9x^2$ for $x\geq 0$ .

See Solution

Problem 2178

Solve the linear equation $12(x+8)=11x-5$ for the value of $x$ .

See Solution

Problem 2179

Solve the equation $(x-1)^{2/3} = 9$ . Select the correct solution: A. The solution set is $\{x\}$ , where $x = \sqrt[3]{9} + 1$ . B. The solution set is the empty set.

See Solution

Problem 2180

Find the product of binomial factors using the appropriate special product (difference of two squares, binomial sum/difference square).

See Solution

Problem 2181

Find the value of $f(-2)$ given the piecewise function $f(x)$ .

See Solution

Problem 2182

Solve the equation $7x + 6x + 3 + 9 = 4x + 5 + 8x$ and check the solution.

See Solution

Problem 2183

Solve the quadratic equation $3 x^{2} = -3 x + 7$ for real values of $x$ .

See Solution

Problem 2184

Find the values of $g(x)$ and $h(x)$ when $x = 10$ .

See Solution

Problem 2185

Find the equation representing 3 times the number of tires minus 8 equals 508 tires. Options: $3 J-8=508$ , $3 J+8=508$ , $8 J=508$

See Solution

Problem 2186

Solve the linear equation $0.8x + 0.6 = 2.2$ by eliminating the decimals and finding the value of $x$ .

See Solution

Problem 2187

Find the range of values for $x$ that satisfy the inequality $3 > -0.4x$ .

See Solution

Problem 2188

Solve for the variable $x$ in the equation $-29x = 116$ .

See Solution

Problem 2189

Solve the linear equation $2(x+13)=7.6$ for the value of $x$ .

See Solution

Problem 2190

Find the ordered pair that satisfies the equation $2x - 5y = 7$ when $y = 1$ .

See Solution

Problem 2191

Solve the quadratic equation $9x^2 - 4 = 0$ for real values of $x$ .

See Solution

Problem 2192

Solve for $y$ in the equation $y-28.8=-39.0$ .

See Solution

Problem 2193

Solve for $x$ where $\frac{9^{x}}{9^{3}}=9^{5}$ .

See Solution

Problem 2194

Find the sign of the product of $-4 \times\left(-\frac{8}{9}\right) \times 2.78 \times\left(1 \frac{1}{3}\right) \times\left(-\frac{2}{5}\right) \times(-6.2) \times(-0.2873) \times\left(3 \frac{1}{11}\right) \times A$ . Justify your answer.

See Solution

Problem 2195

Find the composite function $(g \circ f)(x)$ where $f(x) = x^2 - 5x + 11$ and $g(x) = 5x - 3$ , and express the result as a polynomial in standard form.

See Solution

Problem 2196

Find the solution to $f(x) \leq 0$ where the $x$ -intercepts are $(-4,0)$ and $(7,0)$ and the function opens upward.

See Solution

Problem 2197

Solve the system of linear equations: $25x - 5y = -15$ and $y = mx + n$ .

See Solution

Problem 2198

Calculate a student's final course grade given their test, assignment, and exam scores and their respective weightings.
$5\%$ test score: 63 $25\%$ test score: 96 $40\%$ assignment score: 75 $30\%$ final exam score: 74

See Solution

Problem 2199

Find the real solutions of the equation $|2-2t| + 6 = 12$ .

See Solution

Problem 2200

Complete the square for the quadratic equation $0 = x^2 - 8x + 18$ .

See Solution

Algebra

Problem 2101

Solve for the variable jjj given the equation 4j=18.84j=18.84j=18.8.

Problem 2102

Find the value of 9b9b9b if 4−2b=b4-2b=b4−2b=b.

Problem 2103

Solve the linear equation −4x=−8-4x = -8−4x=−8 for the unknown variable xxx.

Problem 2104

Solve for yyy in 3y=573y=573y=57. Simplify the solution to y=19y=19y=19.

Problem 2105

Simplify the expression 3(x−8)3(x-8)3(x−8) and show the step-by-step work.

Problem 2106

Find the y-intercept of the parabola y=x2+6x+194y=x^2 + 6x + \frac{19}{4}y=x2+6x+419​. Simplify the answer as a fraction or integer.

Problem 2107

Solve for the value of www when w3=3.75\frac{w}{3}=3.753w​=3.75.

Problem 2108

Find the average of x+15x+15x+15, 7x7x7x, and xxx in terms of xxx.

Problem 2109

Find the value of xxx where x8=4\frac{x}{8}=48x​=4.

Problem 2110

Solve the linear system and find the value of qqq.

Problem 2111

Solve the linear equation: −86=−8y+2-86 = -8y + 2−86=−8y+2

Problem 2112

Find the quadratic equation with two xxx-intercepts from the given options: −2x2−5=0-2 x^{2}-5=0−2x2−5=0, x2−4x+4=0x^{2}-4 x+4=0x2−4x+4=0, −x2−x=0-x^{2}-x=0−x2−x=0, x2+12=0x^{2}+12=0x2+12=0, −x2−12=0-x^{2}-12=0−x2−12=0.

Problem 2113

Find the value of the linear function g(x)=19.60+1.74xg(x) = 19.60 + 1.74xg(x)=19.60+1.74x evaluated at x=30x = 30x=30.

Problem 2114

Simplify (2x+3)2(2 x+3)^{2}(2x+3)2 and subtract it from 2x2−42 x^{2}-42x2−4 to get the result in standard polynomial form.

Problem 2115

Solve the linear equation −9x−g=−27g-9x - g = -27g−9x−g=−27g for xxx and ggg.

Problem 2116

Find the solutions for the absolute value equation ∣x∣=9|x| = 9∣x∣=9.

Problem 2117

Solve for the variable yyy in the equation −2=43y-2=\frac{4}{3}y−2=34​y.

Problem 2118

Find the composition of the functions g(t)=t−3g(t) = t - 3g(t)=t−3 and f(t)=t2+5tf(t) = t^2 + 5tf(t)=t2+5t.

Problem 2119

Find the simplified expression for 2x+9+7x2x + 9 + 7x2x+9+7x.

Problem 2120

Find the location of 31\sqrt{31}31​ on the number line, between 5 and 6.

Problem 2121

Plot the complex number −2-2−2 on the complex plane.

Problem 2122

Use long division to show a−5a-5a−5 is a factor of a3−5a2−6a+30a^3 - 5a^2 - 6a + 30a3−5a2−6a+30.

Problem 2123

Solve the linear equation 0=4+n50=4+\frac{n}{5}0=4+5n​ for the unknown variable nnn.

Problem 2124

Solve the exponential equation 39x=37x+83^{9x} = 3^{7x+8}39x=37x+8 for xxx.

Problem 2125

Solve for the expression: 34+3−734 + 3 - 734+3−7

Problem 2126

Find the value of xxx that satisfies the equation 2(x−3)=9−x2(x-3)=9-x2(x−3)=9−x.

Problem 2127

Find the remaining distance for a linear function with slope -0.95 miles/minute, given 64 miles remaining after 37 minutes of driving. Determine the remaining distance after 57 minutes of driving.

Problem 2128

Solve the linear equation 2(w+1)+4w=3(2w−1)+82(w+1)+4w=3(2w-1)+82(w+1)+4w=3(2w−1)+8 for www. The equation has no unique solution, and all real numbers are solutions.

Problem 2129

Find the value of zzz that satisfies the equation 10(z−1)=5010(z-1)=5010(z−1)=50.

Problem 2130

Evaluate the piecewise function g(x)g(x)g(x) at different values in its domain: g(−4),g(−2),g(0),g(3),g(4)g(-4), g(-2), g(0), g(3), g(4)g(−4),g(−2),g(0),g(3),g(4).

Problem 2131

Find xxx that satisfies 5x−3=12x+115x - 3 = 12x + 115x−3=12x+11. The solution set is...

Problem 2132

Find the zeros of the quadratic relation y=−3(x−5)(x+7)y=-3(x-5)(x+7)y=−3(x−5)(x+7) and determine if the parabola opens upward or downward.

Problem 2133

Solve the linear equation −8(−x+7)=8(x−7)-8(-x+7)=8(x-7)−8(−x+7)=8(x−7) and determine the number of solutions.

Problem 2134

The red car is 150150150 feet up a straight road from a police car 505050 feet to the side. The police radar reads the distance between the cars is decreasing at 909090 feet/second. Find the red car's actual speed along the road in feet/second.

Problem 2135

Simplify the expression (38)−12×(23)3\left(\frac{3}{8}\right)^{-\frac{1}{2}} \times (2 \sqrt{3})^{3}(83​)−21​×(23​)3.

Problem 2136

Solve the linear equation p−5=72(t−4)p - 5 = \frac{7}{2}(t - 4)p−5=27​(t−4) for the variable ppp.

Problem 2137

Multiply (8−y)(8+y)(8-y)(8+y)(8−y)(8+y) and simplify the result.

Problem 2138

Solve for the value of xxx in the equation 20=5x20 = 5x20=5x.

Problem 2139

Find equations with the same solution as x2−16x−8=−7x^2 - 16x - 8 = -7x2−16x−8=−7.

Problem 2140

Solve for the variable $j$ given the equation $4j=18.8$ .

Find the value of $9b$ if $4-2b=b$ .

Solve the linear equation $-4x = -8$ for the unknown variable $x$ .

Solve for $y$ in $3y=57$ . Simplify the solution to $y=19$ .

Simplify the expression $3(x-8)$ and show the step-by-step work.

Find the y-intercept of the parabola $y=x^2 + 6x + \frac{19}{4}$ . Simplify the answer as a fraction or integer.

Solve for the value of $w$ when $\frac{w}{3}=3.75$ .

Find the average of $x+15$ , $7x$ , and $x$ in terms of $x$ .

Find the value of $x$ where $\frac{x}{8}=4$ .

Solve the linear system and find the value of $q$ .

Solve the linear equation: $-86 = -8y + 2$

Find the quadratic equation with two $x$ -intercepts from the given options: $-2 x^{2}-5=0$ , $x^{2}-4 x+4=0$ , $-x^{2}-x=0$ , $x^{2}+12=0$ , $-x^{2}-12=0$ .

Find the value of the linear function $g(x) = 19.60 + 1.74x$ evaluated at $x = 30$ .

Simplify $(2 x+3)^{2}$ and subtract it from $2 x^{2}-4$ to get the result in standard polynomial form.

Solve the linear equation $-9x - g = -27g$ for $x$ and $g$ .

Find the solutions for the absolute value equation $|x| = 9$ .

Solve for the variable $y$ in the equation $-2=\frac{4}{3}y$ .

Find the composition of the functions $g(t) = t - 3$ and $f(t) = t^2 + 5t$ .

Find the simplified expression for $2x + 9 + 7x$ .

Find the location of $\sqrt{31}$ on the number line, between 5 and 6.

Plot the complex number $-2$ on the complex plane.

Use long division to show $a-5$ is a factor of $a^3 - 5a^2 - 6a + 30$ .

Solve the linear equation $0=4+\frac{n}{5}$ for the unknown variable $n$ .

Solve the exponential equation $3^{9x} = 3^{7x+8}$ for $x$ .

Solve for the expression: $34 + 3 - 7$

Find the value of $x$ that satisfies the equation $2(x-3)=9-x$ .

Solve the linear equation $2(w+1)+4w=3(2w-1)+8$ for $w$ . The equation has no unique solution, and all real numbers are solutions.

Find the value of $z$ that satisfies the equation $10(z-1)=50$ .

Evaluate the piecewise function $g(x)$ at different values in its domain: $g(-4), g(-2), g(0), g(3), g(4)$ .

Find $x$ that satisfies $5x - 3 = 12x + 11$ . The solution set is...

Find the zeros of the quadratic relation $y=-3(x-5)(x+7)$ and determine if the parabola opens upward or downward.

Solve the linear equation $-8(-x+7)=8(x-7)$ and determine the number of solutions.

The red car is $150$ feet up a straight road from a police car $50$ feet to the side. The police radar reads the distance between the cars is decreasing at $90$ feet/second. Find the red car's actual speed along the road in feet/second.

Simplify the expression $\left(\frac{3}{8}\right)^{-\frac{1}{2}} \times (2 \sqrt{3})^{3}$ .

Solve the linear equation $p - 5 = \frac{7}{2}(t - 4)$ for the variable $p$ .

Multiply $(8-y)(8+y)$ and simplify the result.

Solve for the value of $x$ in the equation $20 = 5x$ .

Find equations with the same solution as $x^2 - 16x - 8 = -7$ .

Find the two integers between which $x$ lies when $2^{x} = 50$ .

Solve the linear equation $84x + 6 = 2(2x + 43)$ for $x$ .

Solve the equation $-6u-13=3-8u$ . The solution set is $\{u\}$ .

Solve the equation $-3(3y+8)=48$ and express the solution as an integer or simplified fraction.

Solve the quadratic equation $7(5 x-4)^{2}+7=350$ for $x$ .

Solve the linear equation $3.25(x-2)=19.5$ for the unknown variable $x$ .

Identify which statements about the polynomial function $y=(x-5)^{2}(x+3)$ are true: $x$ -intercepts, degree, domain, range.

Solve the linear inequality $5x/8 \geq 30$ . Graph the solution set.

Find the time $t$ when the ball reaches the ground, given the height function $H = -5(t - 3)(t + 5)$ .

Evaluate $2^{x}$ for (a) $x=-2$ and (b) $x=3$

Find the algebraic expression for "Eight divided by the difference of $x$ and $m$ ". Options: A) $\frac{8}{m}-x$ , B) $8-\frac{x}{m}$ , C) $\frac{x-m}{8}$ , D) $\frac{8}{x-m}$

Find two numbers whose sum is -12 and difference is -4. $x=$ $y=$

Simplify $\sqrt{24 p^{13} q^{6}}$ , assuming all variables are positive. Express exponents as positive values.

Determine if the equation $7x(y+2) = 3 - 7y(10-x)$ is linear or not linear.

Solve the system of linear equations $-4x - 8y = 8$ and $3x - 5y = 16$ using the elimination method.

Simplify $5x^2 + 7x - 2x^2 + 9y + 8y^2 - 3x$ .

Find the inverse function of $y=\sqrt{x-1}+3$

Solve the absolute value equation $|h-4|=7$ . Rewrite as a compound statement, solve for $h$ , and write the solution set.

Find the $x$ that satisfies the equation $\frac{1}{3x+5} \cdot 25^{4x-1} = \sqrt[8]{625}$ .

Find the value of $x$ that makes the exponent of $f(x)=2^{x-1}$ zero.

Simplify the expression $6x^{2} - 24x$ .

Solve for $w$ given the equation $w - 454 = -832$ .

Solve the linear equation $\frac{3}{6}x - 11 = 16$ for $x$ .

Find the value of $x-y$ if $7(x-y)=2$ .

Find the value of the function $F(x)=-x^{2}+6x-3$ when $x=-3$ .

Solve for $v$ in the equation $\frac{v}{3}-13=-11$ . Find the value of $v$ .

Solve the quadratic equation $11 n^{2} - 2 n - 1 = -11 n$ and find the roots. Then, calculate the given radical expressions.

Factor $56w + 72x$ and express the result as a product with a whole number greater than 1.

Solve for the variable $m$ given $m=4n+k$ , $n=5$ , and $k=12$ .

Solve for $y$ in the equation $-2x - 8y = 2$ .

Identify the special product that describes the multiplication of $(2x+3)(2x-3)$ .

Which quadratic inequality has solution $\frac{-7}{2}<x<3$ ? A. $(2x+7)(x-3)>0$ B. $(2x-7)(x+3)>0$ C. $4(2x+7)(x-3)<0$ D. $-3(2x-7)(x+3)>0$

Determine which of the given numbers, $-1, 0$ , satisfy the equation $x(3+x)-2(x+2)-8 x=4$ .

Solve for $m$ in the equation $m^{3/4} + n^{3/4} = 5$ , where all variables are nonzero. Express $m$ as an integer or fraction.