Algebra

Problem 901

Find the values of $x$ where $x+2 > 5-x$ .

See Solution

Problem 902

Find the solutions to the quadratic equation $(x+4)(x-9)=0$ .

See Solution

Problem 903

Solve for $t$ in the formula $F = U + Urt$ . Simplified answer: $t = \frac{F - U}{Ur}$ .

See Solution

Problem 904

Solve the linear equation $-2(y-6)-3=1$ by eliminating the constant on the left side.

See Solution

Problem 905

Suav pays a flat $\$ 39$ monthly fee and $\$ 4$ per GB. He wants to keep his bill at $\$ 45.40$ . Find the number of GB $x$ he can use within his budget.

See Solution

Problem 906

Solve the equation $x^2 + \left(\frac{1}{\sqrt{2}}\right)^2 = 1$ and find the value of $x$ .

See Solution

Problem 907

Find the set of all $x$ where $2x + 5 \geq 13$ .

See Solution

Problem 908

Find the value of $x$ that makes the fraction $\frac{12 x}{5+x}$ undefined.

See Solution

Problem 909

Rewrite $\left(\frac{11}{9}\right)^{s}$ as a quotient of powers.

See Solution

Problem 910

Find the price elasticity of demand given the slope of a linear demand curve $\frac{\Delta Q}{\Delta P} = -2$ , and two price-quantity pairs.

See Solution

Problem 911

Solve for $x$ in the following linear equations: $x+x+x+3=15$ , $6x+11+5x=66$ , $6x-3=4x+9$ .

See Solution

Problem 912

Simplify $\sqrt[3]{y^{14}}$ by factoring, where $y$ is a positive real number and the radicand does not contain negative quantities raised to even powers.

See Solution

Problem 913

Multiply the expression $(7 r-9)(5 r-3)$ and write the result in standard form.

See Solution

Problem 914

Solve for $v$ in the equation $6+3v=-9$ . Simplify the solution $v=$ .

See Solution

Problem 915

Determine if the car's value follows a linear or exponential function. Then find the slope or growth factor.
Malik bought a car for $\$15,000$ . Its value drops by $15\%$ annually. The function is $v(t) = \$15,000 \cdot (0.85)^t$ . The growth factor is $0.85$ .

See Solution

Problem 916

Find the values of $a$ , $b$ , and $c$ given the system of proportions $\frac{5}{a}=\frac{b}{27}=\frac{12 \sqrt{3}}{c}=\frac{9}{b}$ .

See Solution

Problem 917

Find the sum of $2f$ , $5f$ , $6f$ , and $7f$ .

See Solution

Problem 918

To solve the equation $9x - 6 = 12$ , Marion first adds 6 to both sides. What operation is needed next to isolate the variable x?

See Solution

Problem 919

Solve for $y$ in the equation $3x - 4y + 24 = 0$ . The solution is $y = \square$ .

See Solution

Problem 920

Determine if the statement "Every line in the rectangular coordinate system has an equation that can be expressed in $y = mx + b$ form" is true or false.

See Solution

Problem 921

Find the value of $x$ in the equation $\frac{2}{5}(4 x-3)-2 x=\frac{4}{5}-x$ .

See Solution

Problem 922

Solve the equation $x^{2}-10x-19 = (x-p)^{2}+q$ for $x$ , where $p$ and $q$ are constants.

See Solution

Problem 923

Simplify the expression $(-6)^{-2}$ .

See Solution

Problem 924

Solve the quadratic equations: a) $3x^2 = 9x$ , $2x^2 = 10x$ , $4x^2 = 8x$ , $2.5x^2 = 20x$ b) $1.5x^2 - 15x = 0$ , $0.1x^2 + 3x = 0$ , $7x^3 - 28x = 0$ , $0.5x^2 - 2.5x = 0$

See Solution

Problem 925

Identify the property that explains $3(-3y + 1) = -9y + 3$ .

See Solution

Problem 926

Two partners split profits evenly. Find the equation, graph, and determine if proportional for $x$ (profit) and $y$ (each partner's share).

See Solution

Problem 927

Solve for $x$ in the equation $2(2.25 x + 8) = ?$ .

See Solution

Problem 928

Describe the transformations that transform $y=x^2$ into $y=-(x-7)^2+4$ .

See Solution

Problem 929

Solve the equation $6+\frac{6}{w-3}=\frac{5}{w+1}$ for the unknown variable $w$ .

See Solution

Problem 930

Find the value of $c$ that gives the equation $|x - 4| + 3 = c$ exactly one solution.

See Solution

Problem 931

Find the value of $x$ that satisfies the equation $-2x + 3 = -15$ .

See Solution

Problem 932

Solve for $y$ in the equation $2(3y+5) = 3(5y+\frac{1}{3})$ .

See Solution

Problem 933

Solve the cube root equation $\sqrt[3]{6 x-9}=4$ by graphing. Determine if a solution exists and explain.

See Solution

Problem 934

Solve the system of linear inequalities: $12t - 20 < 2t$ , $t < 2$ , $t > 2$ , $t > -2$ , $t < -2$ .

See Solution

Problem 935

Find the value of $n$ when $w=6$ using the function $n=15w$ .

See Solution

Problem 936

Solve the absolute value equation $\frac{|11x+10|}{5}-2=13$ for real value of $x$ .

See Solution

Problem 937

Draw graphs for $y=\frac{1}{2}|x-3|-5$ and $y=-2^{(x+1)}+4$ , identifying all key points and asymptotes.

See Solution

Problem 938

Find the product of $a(x) = 2x$ , $b(x) = -x + 7$ , and $c(x) = 3x - 5$ .

See Solution

Problem 939

Solve the linear system using Cramer's Rule. Find the determinants $D$ , $D_x$ , and $D_y$ . The solution is $(x, y) = ($ $\frac{D_x}{D}$ $,$ $\frac{D_y}{D}$ $)$ .

See Solution

Problem 940

Solve for s: 3 + (6s - 5s) = (1/12) - (1/6). Express the answer as a fraction.

See Solution

Problem 941

Kennedy has $\$ 0.81$ in pennies and nickels, with 9 more nickels than pennies. Define variables $x$ for pennies and $y$ for nickels, then write a system of equations to solve for the number of each coin.

See Solution

Problem 942

Solve the equation $x\left(\frac{9}{4} x^{2}+\frac{9}{2} x\right)$ and find the value of $x_{1}$ .

See Solution

Problem 943

Find two consecutive even integers whose difference of squares is 12. If $x$ is an even integer, then $x+2$ is the next consecutive even integer.

See Solution

Problem 944

Evaluate the absolute value of the product of 3 and -6, then subtract from 5. Options: A) -49, B) 49, C) -59t, D) 59.

See Solution

Problem 945

Find intervals where $f(x) = \sqrt{-2x^2 - 2x}$ is continuous. If multiple intervals, separate with $\cup$ or comma. If not continuous, output $\varnothing$ .

See Solution

Problem 946

Determine if the inequality $2^{3} \leqslant 8$ is true.

See Solution

Problem 947

Solve the equation $34=28-2(x-1)$ . Check the solution by substituting it into the original equation. The solution set is { $\frac{3}{2}$ }.

See Solution

Problem 948

Find the standard form of $y+4=-6(x+6)$ .

See Solution

Problem 949

Lola's number is the value that, when multiplied by 57, added 5, and divided by 2, equals 145. The number Lola is thinking of is $\frac{145 \cdot 2 - 5}{57}$ .

See Solution

Problem 950

Simplify $\frac{(x+5)(x^{2}-25)}{(x+5)^{2}(x-5)^{2}}$ . What is the domain? A. $\frac{x+5}{x-5}$ ; all real numbers except -5 and 5

See Solution

Problem 951

Add the expressions $(y+2)$ and $(2y+6)$ .

See Solution

Problem 952

Solve the linear equation $6x + 14 = 32$ for $x$ .

See Solution

Problem 953

Find the current $I$ given the resistance $R$ and voltage $E$ in the equation $R=\frac{E}{I}$ .

See Solution

Problem 954

Rewrite $f(x) = \frac{8x}{x^2 - 4x + 3}$ using partial fractions.

See Solution

Problem 955

Solve a system of equations to find two numbers where one number added to three times the other is 24, and five times the first number plus three times the second is 36.

See Solution

Problem 956

Find the number of TV panels produced by Plant B, if the two plants together produced 740 defective panels, where Plant A produced 3000 fewer panels than Plant B and the defective rate was $2\%$ for Plant A and $3\%$ for Plant B.

See Solution

Problem 957

Solve the linear equation $6 x - 4 = 3 + 5 x$ .

See Solution

Problem 958

Solve $5 u^{2}-60=0$ for real $u$ . Round answer to nearest hundredth. If multiple solutions, separate by commas. If no solution, click "No solution".

See Solution

Problem 959

Find the next term in the sequence: $\frac{1}{10}, \frac{3}{12}, \frac{7}{14}, \frac{13}{16}, \ldots$

See Solution

Problem 960

Find the simplest form of $\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{7}}$ .

See Solution

Problem 961

Find the value of $\operatorname{sim}_{1} i_{12} a i^{12} i^{23} i^{80}$ given that $i^{100} = 1$ .

See Solution

Problem 962

Solve the absolute value equation $-5|6-\frac{13}{10}p|+6=-4$ for the unknown $p$ .

See Solution

Problem 963

Solve for the value of $X$ in the equation $X-23=16$ .

See Solution

Problem 964

Find the value of $10x + 3y + 7$ given that $10x + 3y = 2$ is true.

See Solution

Problem 965

Evaluate the complex expression $(5+7i)+(-3-i)$ and express the result in the form $a+bi$ .

See Solution

Problem 966

Find the values of $x$ that make $5x(x-7) = 0$ .

See Solution

Problem 967

Solve the equation $\frac{3}{x^{2}-2x-15}-\frac{1}{x^{2}-25}=\frac{3}{x^{2}+8x+15}$ and determine the solution set.

See Solution

Problem 968

Find the coordinates of the point where the two lines $y = 6x$ and $y = 8x - 2$ intersect.

See Solution

Problem 969

Simplify the expression $4^{5} \div 4^{2}$ to find the value.

See Solution

Problem 970

Find the expression for the sum of $16x$ and $40y$ .

See Solution

Problem 971

Solve the linear equation $0.2(x+3)-4(2x-3)=0.9$ for the unknown variable $x$ .

See Solution

Problem 972

Solve $3(-6+6x) = 15x - 25$ for $x$ . The solution is $x = a/b$ .

See Solution

Problem 973

Is the equation $x - 4x^2 = 0$ a valid operation on $7 - 4x^2 + x = 7$ ? If so, what is the operation?

See Solution

Problem 974

Solve for the value of $u$ given the linear equation $-5u = 4w$ .

See Solution

Problem 975

Find the value of $a$ if $2-\sqrt{5}$ is a root of a polynomial $w(x)$ , and $2+a$ is also a root.

See Solution

Problem 976

Talent show with 16 solo acts ( $x$ min) and 3 ensemble acts ( $y$ min). First show lasts 151 min, second 95 min with 8 best solo acts. Write a system of equations to model the situation.
$16x + 3y = 151$ $8x + 3y = 95$
Solve the system.
(x, y)

See Solution

Problem 977

Solve the equation $\sqrt{5 x}-x+10=0$ .

See Solution

Problem 978

Evaluate the expressions without a calculator: $7+(3 \times \sqrt{49}-1)^{2}$ and $16 \div \sqrt{64}+\sqrt{10^{2}-6^{2}}$ .

See Solution

Problem 979

Simplify the equation $3(1-x)=2 x-(6 x+3)$ to find an equivalent equation.

See Solution

Problem 980

Solve for $s$ where $-25=\frac{s-375}{-15}$ .

See Solution

Problem 981

Find the factors of the cubic polynomial $f(x) = x^3 + x^2 - 26x - 30$ , given that $f(-5) = 0$ .

See Solution

Problem 982

Solve the linear equation $4(v+1)-v=3(v-1)+7$ . Determine if the equation has a unique solution, no solution, or all real numbers are solutions.

See Solution

Problem 983

Solve the quadratic equation $x^{2} - 7x - 8 = 0$ for real values of $x$ .

See Solution

Problem 984

Determine if the solution to $2 \cdot x=6$ , $-2 \cdot x=6.1$ , $2.9 \cdot x=-6.04$ , or $-2.473 \cdot x=-6.859$ is positive or negative.

See Solution

Problem 985

Multiply the expression $4 x(2 x^{2} + y)$ such that the terms are in descending order with respect to the power of $x$ and the variables within each term are in alphabetical order.

See Solution

Problem 986

Solve for the unknown variable $n$ in the linear equation $6n + 8 = 44$ .

See Solution

Problem 987

Solve the linear equation $3y + 22 - 15y = 0$ for the value of $y$ .

See Solution

Problem 988

Simplify the expression $(v-d)(v+d)(v^2-d^2)$ .

See Solution

Problem 989

Find the equivalent algebraic expression for $-4(6x-13)$ using the Distributive property.

See Solution

Problem 990

Find the coefficient in the equation $y=2$ .

See Solution

Problem 991

Find the value of $-1-(4)^{2} \div(-3-5) \cdot 2$ using the order of operations.

See Solution

Problem 992

Find $q$ when $f=108$ and $h=6$ , given $f$ varies jointly as $q^2$ and $h$ , and $f=64$ when $q=4$ and $h=2$ .

See Solution

Problem 993

Solve the linear equation $x + 35 = 40$ .

See Solution

Problem 994

Find the least common denominator for the expression $\frac{4}{x^{3}-x^{2}}-\frac{x+1}{x^{2}-2 x+1}$ .

See Solution

Problem 995

Solve for $x$ in the linear equation $3x=24$ .

See Solution

Problem 996

Find the value of the expression $\sqrt{64} x^{3/4}$ .

See Solution

Problem 997

Simplify the expression $(x^{2}-36) \times \frac{2 x-3}{3 x-18}$ and select the correct answer.

See Solution

Problem 998

Find the number of units the company must manufacture and sell to make a profit, given $p=380-3x$ and $C(x)=3x^2+200x+750$ .

See Solution

Problem 999

If $f(x) = \log(x)$ , what is the transformation of $g(x) = 3\log(x)$ ? Compress by factor of 3, shift 3 right, stretch by factor of 3, shift 3 down.

See Solution

Problem 1000

Match the coefficients in the equation $x^2 + 4 = 0$ with the correct letter values.

See Solution

1 ...7 8 9 10 11 12 13 ...312

Algebra

Problem 901

Find the values of xxx where x+2>5−xx+2 > 5-xx+2>5−x.

Problem 902

Find the solutions to the quadratic equation (x+4)(x−9)=0(x+4)(x-9)=0(x+4)(x−9)=0.

Problem 903

Solve for ttt in the formula F=U+UrtF = U + UrtF=U+Urt. Simplified answer: t=F−UUrt = \frac{F - U}{Ur}t=UrF−U​.

Problem 904

Solve the linear equation −2(y−6)−3=1-2(y-6)-3=1−2(y−6)−3=1 by eliminating the constant on the left side.

Problem 905

Suav pays a flat $39\$ 39$39 monthly fee and $4\$ 4$4 per GB. He wants to keep his bill at $45.40\$ 45.40$45.40. Find the number of GB xxx he can use within his budget.

Problem 906

Solve the equation x2+(12)2=1x^2 + \left(\frac{1}{\sqrt{2}}\right)^2 = 1x2+(2​1​)2=1 and find the value of xxx.

Problem 907

Find the set of all xxx where 2x+5≥132x + 5 \geq 132x+5≥13.

Problem 908

Find the value of xxx that makes the fraction 12x5+x\frac{12 x}{5+x}5+x12x​ undefined.

Problem 909

Rewrite (119)s\left(\frac{11}{9}\right)^{s}(911​)s as a quotient of powers.

Problem 910

Find the price elasticity of demand given the slope of a linear demand curve ΔQΔP=−2\frac{\Delta Q}{\Delta P} = -2ΔPΔQ​=−2, and two price-quantity pairs.

Problem 911

Solve for xxx in the following linear equations: x+x+x+3=15x+x+x+3=15x+x+x+3=15, 6x+11+5x=666x+11+5x=666x+11+5x=66, 6x−3=4x+96x-3=4x+96x−3=4x+9.

Problem 912

Simplify y143\sqrt[3]{y^{14}}3y14​ by factoring, where yyy is a positive real number and the radicand does not contain negative quantities raised to even powers.

Problem 913

Multiply the expression (7r−9)(5r−3)(7 r-9)(5 r-3)(7r−9)(5r−3) and write the result in standard form.

Problem 914

Solve for vvv in the equation 6+3v=−96+3v=-96+3v=−9. Simplify the solution v=v=v=.

Problem 915

Problem 916

Find the values of aaa, bbb, and ccc given the system of proportions 5a=b27=123c=9b\frac{5}{a}=\frac{b}{27}=\frac{12 \sqrt{3}}{c}=\frac{9}{b}a5​=27b​=c123​​=b9​.

Problem 917

Find the sum of 2f2f2f, 5f5f5f, 6f6f6f, and 7f7f7f.

Problem 918

To solve the equation 9x−6=129x - 6 = 129x−6=12, Marion first adds 6 to both sides. What operation is needed next to isolate the variable x?

Problem 919

Solve for yyy in the equation 3x−4y+24=03x - 4y + 24 = 03x−4y+24=0. The solution is y=□y = \squarey=□.

Problem 920

Determine if the statement "Every line in the rectangular coordinate system has an equation that can be expressed in y=mx+by = mx + by=mx+b form" is true or false.

Problem 921

Find the value of xxx in the equation 25(4x−3)−2x=45−x\frac{2}{5}(4 x-3)-2 x=\frac{4}{5}-x52​(4x−3)−2x=54​−x.

Problem 922

Solve the equation x2−10x−19=(x−p)2+qx^{2}-10x-19 = (x-p)^{2}+qx2−10x−19=(x−p)2+q for xxx, where ppp and qqq are constants.

Problem 923

Simplify the expression (−6)−2(-6)^{-2}(−6)−2.

Problem 924

Problem 925

Identify the property that explains 3(−3y+1)=−9y+33(-3y + 1) = -9y + 33(−3y+1)=−9y+3.

Problem 926

Two partners split profits evenly. Find the equation, graph, and determine if proportional for xxx (profit) and yyy (each partner's share).

Problem 927

Solve for xxx in the equation 2(2.25x+8)=?2(2.25 x + 8) = ?2(2.25x+8)=?.

Problem 928

Describe the transformations that transform y=x2y=x^2y=x2 into y=−(x−7)2+4y=-(x-7)^2+4y=−(x−7)2+4.

Problem 929

Solve the equation 6+6w−3=5w+16+\frac{6}{w-3}=\frac{5}{w+1}6+w−36​=w+15​ for the unknown variable www.

Problem 930

Find the value of ccc that gives the equation ∣x−4∣+3=c|x - 4| + 3 = c∣x−4∣+3=c exactly one solution.

Problem 931

Find the value of xxx that satisfies the equation −2x+3=−15-2x + 3 = -15−2x+3=−15.

Problem 932

Solve for yyy in the equation 2(3y+5)=3(5y+13)2(3y+5) = 3(5y+\frac{1}{3})2(3y+5)=3(5y+31​).

Problem 933

Solve the cube root equation 6x−93=4\sqrt[3]{6 x-9}=436x−9​=4 by graphing. Determine if a solution exists and explain.

Problem 934

Solve the system of linear inequalities: 12t−20<2t12t - 20 < 2t12t−20<2t, t<2t < 2t<2, t>2t > 2t>2, t>−2t > -2t>−2, t<−2t < -2t<−2.

Problem 935

Find the value of nnn when w=6w=6w=6 using the function n=15wn=15wn=15w.

Problem 936

Solve the absolute value equation ∣11x+10∣5−2=13\frac{|11x+10|}{5}-2=135∣11x+10∣​−2=13 for real value of xxx.

Problem 937

Draw graphs for y=12∣x−3∣−5y=\frac{1}{2}|x-3|-5y=21​∣x−3∣−5 and y=−2(x+1)+4y=-2^{(x+1)}+4y=−2(x+1)+4, identifying all key points and asymptotes.

Problem 938

Find the product of a(x)=2xa(x) = 2xa(x)=2x, b(x)=−x+7b(x) = -x + 7b(x)=−x+7, and c(x)=3x−5c(x) = 3x - 5c(x)=3x−5.

Problem 939

Solve the linear system using Cramer's Rule. Find the determinants DDD, DxD_xDx​, and DyD_yDy​. The solution is (x,y)=((x, y) = ((x,y)=(DxD\frac{D_x}{D}DDx​​,, ,DyD\frac{D_y}{D}DDy​​))).

Problem 940

Solve for s: 3 + (6s - 5s) = (1/12) - (1/6). Express the answer as a fraction.

Problem 941

Find the values of $x$ where $x+2 > 5-x$ .

Find the solutions to the quadratic equation $(x+4)(x-9)=0$ .

Solve for $t$ in the formula $F = U + Urt$ . Simplified answer: $t = \frac{F - U}{Ur}$ .

Solve the linear equation $-2(y-6)-3=1$ by eliminating the constant on the left side.

Suav pays a flat $\$ 39$ monthly fee and $\$ 4$ per GB. He wants to keep his bill at $\$ 45.40$ . Find the number of GB $x$ he can use within his budget.

Solve the equation $x^2 + \left(\frac{1}{\sqrt{2}}\right)^2 = 1$ and find the value of $x$ .

Find the set of all $x$ where $2x + 5 \geq 13$ .

Find the value of $x$ that makes the fraction $\frac{12 x}{5+x}$ undefined.

Rewrite $\left(\frac{11}{9}\right)^{s}$ as a quotient of powers.

Find the price elasticity of demand given the slope of a linear demand curve $\frac{\Delta Q}{\Delta P} = -2$ , and two price-quantity pairs.

Solve for $x$ in the following linear equations: $x+x+x+3=15$ , $6x+11+5x=66$ , $6x-3=4x+9$ .

Simplify $\sqrt[3]{y^{14}}$ by factoring, where $y$ is a positive real number and the radicand does not contain negative quantities raised to even powers.

Multiply the expression $(7 r-9)(5 r-3)$ and write the result in standard form.

Solve for $v$ in the equation $6+3v=-9$ . Simplify the solution $v=$ .

Find the values of $a$ , $b$ , and $c$ given the system of proportions $\frac{5}{a}=\frac{b}{27}=\frac{12 \sqrt{3}}{c}=\frac{9}{b}$ .

Find the sum of $2f$ , $5f$ , $6f$ , and $7f$ .

To solve the equation $9x - 6 = 12$ , Marion first adds 6 to both sides. What operation is needed next to isolate the variable x?

Solve for $y$ in the equation $3x - 4y + 24 = 0$ . The solution is $y = \square$ .

Determine if the statement "Every line in the rectangular coordinate system has an equation that can be expressed in $y = mx + b$ form" is true or false.

Find the value of $x$ in the equation $\frac{2}{5}(4 x-3)-2 x=\frac{4}{5}-x$ .

Solve the equation $x^{2}-10x-19 = (x-p)^{2}+q$ for $x$ , where $p$ and $q$ are constants.

Simplify the expression $(-6)^{-2}$ .

Identify the property that explains $3(-3y + 1) = -9y + 3$ .

Two partners split profits evenly. Find the equation, graph, and determine if proportional for $x$ (profit) and $y$ (each partner's share).

Solve for $x$ in the equation $2(2.25 x + 8) = ?$ .

Describe the transformations that transform $y=x^2$ into $y=-(x-7)^2+4$ .

Solve the equation $6+\frac{6}{w-3}=\frac{5}{w+1}$ for the unknown variable $w$ .

Find the value of $c$ that gives the equation $|x - 4| + 3 = c$ exactly one solution.

Find the value of $x$ that satisfies the equation $-2x + 3 = -15$ .

Solve for $y$ in the equation $2(3y+5) = 3(5y+\frac{1}{3})$ .

Solve the cube root equation $\sqrt[3]{6 x-9}=4$ by graphing. Determine if a solution exists and explain.

Solve the system of linear inequalities: $12t - 20 < 2t$ , $t < 2$ , $t > 2$ , $t > -2$ , $t < -2$ .

Find the value of $n$ when $w=6$ using the function $n=15w$ .

Solve the absolute value equation $\frac{|11x+10|}{5}-2=13$ for real value of $x$ .

Draw graphs for $y=\frac{1}{2}|x-3|-5$ and $y=-2^{(x+1)}+4$ , identifying all key points and asymptotes.

Find the product of $a(x) = 2x$ , $b(x) = -x + 7$ , and $c(x) = 3x - 5$ .

Solve the linear system using Cramer's Rule. Find the determinants $D$ , $D_x$ , and $D_y$ . The solution is $(x, y) = ($ $\frac{D_x}{D}$ $,$ $\frac{D_y}{D}$ $)$ .

Kennedy has $\$ 0.81$ in pennies and nickels, with 9 more nickels than pennies. Define variables $x$ for pennies and $y$ for nickels, then write a system of equations to solve for the number of each coin.

Solve the equation $x\left(\frac{9}{4} x^{2}+\frac{9}{2} x\right)$ and find the value of $x_{1}$ .

Find two consecutive even integers whose difference of squares is 12. If $x$ is an even integer, then $x+2$ is the next consecutive even integer.

Find intervals where $f(x) = \sqrt{-2x^2 - 2x}$ is continuous. If multiple intervals, separate with $\cup$ or comma. If not continuous, output $\varnothing$ .

Determine if the inequality $2^{3} \leqslant 8$ is true.

Solve the equation $34=28-2(x-1)$ . Check the solution by substituting it into the original equation. The solution set is { $\frac{3}{2}$ }.

Find the standard form of $y+4=-6(x+6)$ .

Lola's number is the value that, when multiplied by 57, added 5, and divided by 2, equals 145. The number Lola is thinking of is $\frac{145 \cdot 2 - 5}{57}$ .

Simplify $\frac{(x+5)(x^{2}-25)}{(x+5)^{2}(x-5)^{2}}$ . What is the domain? A. $\frac{x+5}{x-5}$ ; all real numbers except -5 and 5

Add the expressions $(y+2)$ and $(2y+6)$ .

Solve the linear equation $6x + 14 = 32$ for $x$ .

Find the current $I$ given the resistance $R$ and voltage $E$ in the equation $R=\frac{E}{I}$ .

Rewrite $f(x) = \frac{8x}{x^2 - 4x + 3}$ using partial fractions.

Find the number of TV panels produced by Plant B, if the two plants together produced 740 defective panels, where Plant A produced 3000 fewer panels than Plant B and the defective rate was $2\%$ for Plant A and $3\%$ for Plant B.

Solve the linear equation $6 x - 4 = 3 + 5 x$ .

Solve $5 u^{2}-60=0$ for real $u$ . Round answer to nearest hundredth. If multiple solutions, separate by commas. If no solution, click "No solution".

Find the next term in the sequence: $\frac{1}{10}, \frac{3}{12}, \frac{7}{14}, \frac{13}{16}, \ldots$

Find the simplest form of $\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{7}}$ .

Find the value of $\operatorname{sim}_{1} i_{12} a i^{12} i^{23} i^{80}$ given that $i^{100} = 1$ .

Solve the absolute value equation $-5|6-\frac{13}{10}p|+6=-4$ for the unknown $p$ .

Solve for the value of $X$ in the equation $X-23=16$ .

Find the value of $10x + 3y + 7$ given that $10x + 3y = 2$ is true.

Evaluate the complex expression $(5+7i)+(-3-i)$ and express the result in the form $a+bi$ .

Find the values of $x$ that make $5x(x-7) = 0$ .

Solve the equation $\frac{3}{x^{2}-2x-15}-\frac{1}{x^{2}-25}=\frac{3}{x^{2}+8x+15}$ and determine the solution set.

Find the coordinates of the point where the two lines $y = 6x$ and $y = 8x - 2$ intersect.

Simplify the expression $4^{5} \div 4^{2}$ to find the value.

Find the expression for the sum of $16x$ and $40y$ .

Solve the linear equation $0.2(x+3)-4(2x-3)=0.9$ for the unknown variable $x$ .

Solve $3(-6+6x) = 15x - 25$ for $x$ . The solution is $x = a/b$ .

Is the equation $x - 4x^2 = 0$ a valid operation on $7 - 4x^2 + x = 7$ ? If so, what is the operation?

Solve for the value of $u$ given the linear equation $-5u = 4w$ .