Browse Math problems in the Studdy Learning Bank!

Problem 3001

Solve the linear equation $\frac{3}{7} y - 10 = -7$ to find the value of $y$ .

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Problem 3002

Estimate the area under $f(x)=\frac{1}{x+1}$ on $[3,5]$ using 8 right-endpoint rectangles. Repeat with left endpoints. $R_{n}$ and $L_{n}$ formulas.

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Problem 3003

Find the value of $x_2$ given the iterative formula $x_{n+1} = x_n + 4$ and $x_1 = 24$ .

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Problem 3004

Encuentra la ecuación equivalente a la edad de Diego $d = 2s + 5$ , donde $s$ es la edad de su hermana.

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Problem 3005

Graph the function $h(x) = -\frac{1}{x^2}$ . Find its domain, $x$ -intercepts, $y$ -intercept, and vertical asymptotes.
The domain of the function is $\mathbb{R} \setminus \{0\}$ . The $x$ -intercept(s) is/are $(0,0)$ . The $y$ -intercept is $(0,-1)$ . The function has one vertical asymptote at $x = 0$ .

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Problem 3006

Find the sum of $a$ and $b$ given $a=-1.5$ and $b=-3.2$ .

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Problem 3007

Find the values of $A$ and $B$ in the equivalent ratio $A: 7: 5=8: 28: B$ .

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Problem 3008

Solve the linear equation $-12y - 9 + 7y = 26$ for $y$ . Simplify the solution.

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Problem 3009

Find the roots of the function $f(x) = 0.5x^3 - 4.5x$ .

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Problem 3010

Find real and complex zeros of $x^3 - 2x^2 + 4x - 8 = 0$ using synthetic division, given $(x - 2)$ .

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Problem 3011

Find the value of $7-m$ when $m=\frac{7}{9}$ . Express the answer as a fraction or whole/mixed number.

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Problem 3012

Find the linear equation in slope-intercept form that best fits the given table of $(x, y)$ values: $y = 1.6x - 5$ .

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Problem 3013

Find the value of $x$ that satisfies the equation $f(x)=4x$ and $0=4x$ .

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Problem 3014

Find the 6th term in the Taylor series expansion of $f(x)=3e^{4x}$ around $x=4$ .

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Problem 3015

Solve for $p$ where $99 > 13 - 2p$ .

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Problem 3016

Encuentra la media de los números $2, 3, 5, 6, 8, 8, 11$ dividiendo su suma entre $2+3+5+6+8+8+11$ .

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Problem 3017

Find the 4th term of a geometric sequence with first term $a_{8}=50$ and common ratio $r=0.5$ .

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Problem 3018

Solve for $c$ in the equation $0.4c = -14$ .

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Problem 3019

Solve for the value of $c$ in the equation $12=\frac{c}{4}-8$ .

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Problem 3020

Find the values of $x$ that satisfy the equation $8^{x-4}=64^{x+1}$ .

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Problem 3021

Find the solution for the expression $\$(3y - 2z) 5\$$ .

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Problem 3022

Solve the linear equation $-6(v+2)+4v+6=7v+11$ .

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Problem 3023

Solve the given systems of linear equations (a) $4x_1 - 3x_2 + 6x_3 = 0, 2x_1 - x_3 = 5, 4x_1 = -2$ , (b) $4x_1 - x_2 + 3x_3 = 2, x_1 + 3x_2 = 5, 4x_2 = 8$ , (c) $5x_1 = 10, 5x_2 - 3x_3 = 9, 4x_1 + x_2 = 0$ , (d) $a + b = 3, a + b - c = 0, b + c = 4$ , (e) $r + s - t = 0, r + t = 2, r - 2s + t = 2$ , (f) $0.6y + 1.8z = 3, 0.3x + 1.2y = 0, 0.5x + z = 1$ .

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Problem 3024

Find the most accurate statement about the given $6 \times 6$ matrix $A$ , which could be the adjacency matrix of a graph or a digraph.

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Problem 3025

Solve for $x$ in the equation $x(6+x)=2-[3x-(x+1)^2]-4$ , rounding the answer to the nearest thousandth.

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Problem 3026

Solve for $x$ in the equation $-4x=5$ , then multiply both sides by $\frac{1}{3}$ to find the new equation.

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Problem 3027

Solve for $x$ in the equation $(x-4)^{2}+4=49$ . The solutions are $x=\pm 7$ .

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Problem 3028

Find the equation of the line passing through the points $(0,4)$ and $(-8,7)$ in function notation $f(x)$ .

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Problem 3029

Rewrite $y-2=\frac{1}{3}(x+6)$ in standard form $Ax+By+C=0$ .

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Problem 3030

Probability of selecting a Democrat followed by a Republican from a group of 8 Democrats, 4 Republicans, and 6 Independents.

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Problem 3031

Find the number of small ( $x$ ) and large ( $y$ ) boxes of paper shipped, given total weight of 1260 lbs and $x$ small boxes at 35 lbs each, $y$ large boxes at 70 lbs each.

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Problem 3032

Find $a$ when $a$ varies directly as $b^2$ and inversely as $c^3$ , given $a=176$ when $b=8$ and $c=4$ , and $b=3$ and $c=7$ . Round your answer to two decimal places.

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Problem 3033

Solve $20=5 x^{1/5}$ for $x$ . Options: A) $x=128$ B) $x=1,024$ C) $x=512$ D) $x=256$

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Problem 3034

Subtract the functions $f(x) = -5x^2 + x - 2$ and $g(x) = -3x^2 + 3x + 9$ .

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Problem 3035

Solve for the variable $x$ in the equation $76 = -43 + x$ .

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Problem 3036

Find the original number $m$ given that when multiplied by 3, the result is 27.

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Problem 3037

Find the value of $x$ that satisfies the equation $-3x + 27 = 8x + 5$ . Compare the variable and constant terms.

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Problem 3038

Find the 10th percentile of the number of cars sold per week by the 65 car salespersons. The data shows that 14 sell 5 cars, 19 sell 6 cars, 12 sell 7 cars, 9 sell 8 cars, and 11 sell 9 cars.

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Problem 3039

Solve a system of 2 linear equations with 2 variables. Find the highest common factor of the terms in the first equation, then write an equivalent equation. Solve the system.
$6x - 9y = 15$ $2x + 5y = -3$

See Solution

Problem 3040

Charm bracelet costs $65 plus$ 25 per charm. Equation $-25x+y=65$ gives cost $y$ (in $) where$ x$ is number of charms. Find cost of bracelet with 3 charms.

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Problem 3041

Find the equation of the line passing through (5,7) and perpendicular to $4x + y = 9$ .

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Problem 3042

Stress and happiness change with age. Find the slope of the line through (22,38) and (62,15), then use it to complete the statement about the rate of change in stress percentage.
a. Slope of the line = $\frac{15 - 38}{62 - 22} = \frac{-23}{40} = -0.575$
b. For each year of aging, the percentage of Americans reporting "a lot" of stress decreases by $\bar{\nabla} -0.6\%$ . The rate of change is $\dots$

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Problem 3043

Find the difference between $2.5$ and $12.2$ .

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Problem 3044

Find the exact solution to the equation $2^{2x} = 5^{x-1}$ .

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Problem 3045

Find the difference between 784 and 298.

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Problem 3046

Encuentra la pendiente de la recta definida por la ecuación $x=7$ .

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Problem 3047

Find the prime factorization of 125. $5 \times 5 \times 5$ , $5 \times 25$ , or $5 \times 100$ .

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Problem 3048

Estimate the true mean weight of all chocolates produced by a machine with a $99\%$ confidence interval, given a sample of 18 chocolates with mean $3.1$ grams and standard deviation $0.09$ grams.

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Problem 3049

Rewrite $x^2 + y^2 - 18x - 2y + 1 = 0$ in standard form of a circle equation by completing the square.

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Problem 3050

Evaluate $g(x)=6^{x}+9$ at $x=-1$ . Find the $x$ when $g(x)=225$ .

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Problem 3051

Solve for $x$ in the equation $2(x+7)^{\frac{2}{3}}=8$ .

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Problem 3052

Find the value of $5 + (-7)$ .

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Problem 3053

Determine if the equation $c + d^2 = 36$ is linear or nonlinear.

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Problem 3054

Simplify the expression $4 \times 1 + 3 \times \frac{1}{10} + 9 \times \frac{1}{1,000}$ and enter the decimal form.

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Problem 3055

Find the roots of the quadratic equation $5v^2 - 125 = 0$ .

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Problem 3056

Simplify the equation: $-7 + 2 = 3x - 4$

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Problem 3057

Solve for $x$ in the equation $3^{x}=\frac{1}{9}$ .

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Problem 3058

Solve for $x$ : $-2x + 7 \leq 38$

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Problem 3059

Find the line of best fit for the median price of existing homes from 2000 to 2007. The price was $\$160,000$ in 2000 and $\$240,000$ in 2007. Write the equation in slope-intercept form, rounded to the nearest tenth for the slope and nearest dollar for the $y$ -intercept.

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Problem 3060

What is the value of $\frac{610}{0}$ ?

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Problem 3061

Rewrite the quadratic relation $5 x^{2} - 2 y = -x + y$ as a function of $x$ .

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Problem 3062

Find the missing factor: $Z \times 8 = 32$ . Solve for $Z$ .

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Problem 3063

Find the absolute value of the difference between 4 and 9.

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Problem 3064

Find the antiderivatives of $f(x)=-8 \sec^2 x$ and verify the solution by taking the derivative.

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Problem 3065

Graph $f(x)=2^{x}-128$ , find its zero, and solve $f(x)<0$ based on the graph.

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Problem 3066

Find the missing inputs and outputs for a machine that transforms $x$ to $0.6x$ based on the given examples.

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Problem 3067

Write an expression for "7 divided by $c$ ."

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Problem 3068

Find the base number for the expression $1.7^{3}$ .

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Problem 3069

Find the value of $t$ when $u=3$ given that $t$ and $u$ are in direct proportion with the equation $t=9u$ .

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Problem 3070

Simplify the sum of two rational expressions with a common denominator: $\frac{7y}{8y-8} + \frac{8}{8y-8}$ .

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Problem 3071

Solve for (x, y) using graphing. If no solution, enter "NO SOLUTION". System: $x+y=1, 4x-y=-26$ .

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Problem 3072

Order the fractions and mixed numbers in ascending order: $\frac{3}{2}, \frac{11}{4}, 1 \frac{1}{4}, 2 \frac{7}{8}$

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Problem 3073

Solve the linear equation $15-2 w-2=2(w-15)-1$ for the variable $w$ .

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Problem 3074

Find the velocity of a wave in shallow water with depth of 6.5 feet, given the equation $v=\sqrt{32 d}$ .

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Problem 3075

Solve each equation and match to the correct answer. $4n+9=25$ , $-10+6n=8$ , $26-2n=12$ , $8n+2=18$ .

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Problem 3076

Estimate the value of $y$ using the cubic model $y=10x^3-12x$ when $x=3$ .

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Problem 3077

Solve for the value of $a$ in the equation $\frac{80}{1}=\frac{a(-300)^{2}}{1}$ .

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Problem 3078

Raleigh has 10,500 registered voters. A poll of 200 voters showed $119$ for Brown, $77$ for Feliz, and $4$ undecided. Find the expected number of voters for each candidate and undecided.

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Problem 3079

Subtract the mixed number $12 - 6 \frac{11}{16}$ and write the answer in simplest form.

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Problem 3080

Simplify the expression $5 \cdot 3 - 8 \div 2 \cdot 3$ and enter the answer.

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Problem 3081

Simplify the ratio $\frac{9}{10} : 4 : \frac{12}{8}$ to its lowest terms.

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Problem 3082

Solve for $x$ in the equation $\sqrt{x+3}=m$

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Problem 3083

Find the domain of the function $f(x) = \log_6(-5x+4)$ .

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Problem 3084

Solve for the value of $p$ when $15=\frac{p}{4}$ .

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Problem 3085

Solve the differential equation $4 e^{t} \cdot(e^{t}-1)=0$ for the value of $t$ .

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Problem 3086

Find the perimeter and area of a parallelogram with sides of length $4.5$ feet and $9$ feet, and distance between $9$ -foot sides of $0.8$ foot.

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Problem 3087

Solve for the value of $x$ that satisfies the equation $x=2$ .

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Problem 3088

Find the least common denominator (LCD) of the given rational expressions: $\frac{3 x}{x-5}$ and $\frac{4}{x^{2}-25}$ .

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Problem 3089

Graph the line through $(2,3), (3,4.5), (4,6), (6,9)$ and determine if the line represents a proportional relationship.

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Problem 3090

Solve for y in $\sqrt{3y+4}=4$ . Find the value of y.

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Problem 3091

Find the value of $x$ in a triangle with angles $2x$ , $x$ , and $60$ degrees.

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Problem 3092

Find the solution to the quadratic equation $x^{2} + 5x + 7 = 0$ .

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Problem 3093

Solve for $i$ in the formula $A=IW$ . Options: A) $i=A-w$ , B) $i=\frac{W}{A}$ , C) $i=\frac{A}{w}$ , D) $i=WA$ .

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Problem 3094

Simplify the expression $d^{9} \div d^{4}$ .

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Problem 3095

Calculate milliliters per hour to infuse 1 liter of $D_{5} W I V$ in 10 hours using an infusion pump.
The answer is $\frac{1000}{10}$ milliliters per hour. (Round to the nearest whole number as needed)

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Problem 3096

Given a vector from (4,1) to (5,5), express the vector in component form. Assume each grid box is 1x1 unit.

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Problem 3097

Find the number of students in a school election where $\frac{3}{4}$ of the students vote and there are 1464 ballots. Solve the equation $\square=1464$ to find the total number of students.

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Problem 3098

Given a linear equation $y=5x$ , find the value of $x$ when $y=c$ .

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Problem 3099

Find the value of $x$ that satisfies the equation $2(x-2)=8x-3-6x$ .

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Problem 3100

Bill earns $0.25 per document mailed. He prepared 2,000 documents last week. What is his correct pay, and how much does his boss owe him?

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Math

Problem 3001

Solve the linear equation 37y−10=−7\frac{3}{7} y - 10 = -773​y−10=−7 to find the value of yyy.

Problem 3002

Estimate the area under f(x)=1x+1f(x)=\frac{1}{x+1}f(x)=x+11​ on [3,5][3,5][3,5] using 8 right-endpoint rectangles. Repeat with left endpoints. RnR_{n}Rn​ and LnL_{n}Ln​ formulas.

Problem 3003

Find the value of x2x_2x2​ given the iterative formula xn+1=xn+4x_{n+1} = x_n + 4xn+1​=xn​+4 and x1=24x_1 = 24x1​=24.

Problem 3004

Encuentra la ecuación equivalente a la edad de Diego d=2s+5d = 2s + 5d=2s+5, donde sss es la edad de su hermana.

Problem 3005

Problem 3006

Find the sum of aaa and bbb given a=−1.5a=-1.5a=−1.5 and b=−3.2b=-3.2b=−3.2.

Problem 3007

Find the values of AAA and BBB in the equivalent ratio A:7:5=8:28:BA: 7: 5=8: 28: BA:7:5=8:28:B.

Problem 3008

Solve the linear equation −12y−9+7y=26-12y - 9 + 7y = 26−12y−9+7y=26 for yyy. Simplify the solution.

Problem 3009

Find the roots of the function f(x)=0.5x3−4.5xf(x) = 0.5x^3 - 4.5xf(x)=0.5x3−4.5x.

Problem 3010

Find real and complex zeros of x3−2x2+4x−8=0x^3 - 2x^2 + 4x - 8 = 0x3−2x2+4x−8=0 using synthetic division, given (x−2)(x - 2)(x−2).

Problem 3011

Find the value of 7−m7-m7−m when m=79m=\frac{7}{9}m=97​. Express the answer as a fraction or whole/mixed number.

Problem 3012

Find the linear equation in slope-intercept form that best fits the given table of (x,y)(x, y)(x,y) values: y=1.6x−5y = 1.6x - 5y=1.6x−5.

Problem 3013

Find the value of xxx that satisfies the equation f(x)=4xf(x)=4xf(x)=4x and 0=4x0=4x0=4x.

Problem 3014

Find the 6th term in the Taylor series expansion of f(x)=3e4xf(x)=3e^{4x}f(x)=3e4x around x=4x=4x=4.

Problem 3015

Solve for ppp where 99>13−2p99 > 13 - 2p99>13−2p.

Problem 3016

Encuentra la media de los números 2,3,5,6,8,8,112, 3, 5, 6, 8, 8, 112,3,5,6,8,8,11 dividiendo su suma entre 2+3+5+6+8+8+112+3+5+6+8+8+112+3+5+6+8+8+11.

Problem 3017

Find the 4th term of a geometric sequence with first term a8=50a_{8}=50a8​=50 and common ratio r=0.5r=0.5r=0.5.

Problem 3018

Solve for ccc in the equation 0.4c=−140.4c = -140.4c=−14.

Problem 3019

Solve for the value of ccc in the equation 12=c4−812=\frac{c}{4}-812=4c​−8.

Problem 3020

Find the values of xxx that satisfy the equation 8x−4=64x+18^{x-4}=64^{x+1}8x−4=64x+1.

Problem 3021

Find the solution for the expression $(3y−2z)5$\$(3y - 2z) 5\$$(3y−2z)5$.

Problem 3022

Solve the linear equation −6(v+2)+4v+6=7v+11-6(v+2)+4v+6=7v+11−6(v+2)+4v+6=7v+11.

Problem 3023

Problem 3024

Find the most accurate statement about the given 6×66 \times 66×6 matrix AAA, which could be the adjacency matrix of a graph or a digraph.

Problem 3025

Solve for xxx in the equation x(6+x)=2−[3x−(x+1)2]−4x(6+x)=2-[3x-(x+1)^2]-4x(6+x)=2−[3x−(x+1)2]−4, rounding the answer to the nearest thousandth.

Problem 3026

Solve for xxx in the equation −4x=5-4x=5−4x=5, then multiply both sides by 13\frac{1}{3}31​ to find the new equation.

Problem 3027

Solve for xxx in the equation (x−4)2+4=49(x-4)^{2}+4=49(x−4)2+4=49. The solutions are x=±7x=\pm 7x=±7.

Problem 3028

Find the equation of the line passing through the points (0,4)(0,4)(0,4) and (−8,7)(-8,7)(−8,7) in function notation f(x)f(x)f(x).

Problem 3029

Rewrite y−2=13(x+6)y-2=\frac{1}{3}(x+6)y−2=31​(x+6) in standard form Ax+By+C=0Ax+By+C=0Ax+By+C=0.

Problem 3030

Probability of selecting a Democrat followed by a Republican from a group of 8 Democrats, 4 Republicans, and 6 Independents.

Problem 3031

Find the number of small (xxx) and large (yyy) boxes of paper shipped, given total weight of 1260 lbs and xxx small boxes at 35 lbs each, yyy large boxes at 70 lbs each.

Problem 3032

Find aaa when aaa varies directly as b2b^2b2 and inversely as c3c^3c3, given a=176a=176a=176 when b=8b=8b=8 and c=4c=4c=4, and b=3b=3b=3 and c=7c=7c=7. Round your answer to two decimal places.

Problem 3033

Solve 20=5x1/520=5 x^{1/5}20=5x1/5 for xxx. Options: A) x=128x=128x=128 B) x=1,024x=1,024x=1,024 C) x=512x=512x=512 D) x=256x=256x=256

Problem 3034

Subtract the functions f(x)=−5x2+x−2f(x) = -5x^2 + x - 2f(x)=−5x2+x−2 and g(x)=−3x2+3x+9g(x) = -3x^2 + 3x + 9g(x)=−3x2+3x+9.

Problem 3035

Solve for the variable xxx in the equation 76=−43+x76 = -43 + x76=−43+x.

Problem 3036

Find the original number mmm given that when multiplied by 3, the result is 27.

Problem 3037

Find the value of xxx that satisfies the equation −3x+27=8x+5-3x + 27 = 8x + 5−3x+27=8x+5. Compare the variable and constant terms.

Problem 3038

Find the 10th percentile of the number of cars sold per week by the 65 car salespersons. The data shows that 14 sell 5 cars, 19 sell 6 cars, 12 sell 7 cars, 9 sell 8 cars, and 11 sell 9 cars.

Problem 3039

Solve a system of 2 linear equations with 2 variables. Find the highest common factor of the terms in the first equation, then write an equivalent equation. Solve the system.6x−9y=156x - 9y = 156x−9y=15 2x+5y=−32x + 5y = -32x+5y=−3

Problem 3040

Charm bracelet costs 65plus65 plus 65plus25 per charm. Equation −25x+y=65-25x+y=65−25x+y=65 gives cost yyy (in )where) where )wherex$ is number of charms. Find cost of bracelet with 3 charms.

Problem 3041

Solve the linear equation $\frac{3}{7} y - 10 = -7$ to find the value of $y$ .

Estimate the area under $f(x)=\frac{1}{x+1}$ on $[3,5]$ using 8 right-endpoint rectangles. Repeat with left endpoints. $R_{n}$ and $L_{n}$ formulas.

Find the value of $x_2$ given the iterative formula $x_{n+1} = x_n + 4$ and $x_1 = 24$ .

Encuentra la ecuación equivalente a la edad de Diego $d = 2s + 5$ , donde $s$ es la edad de su hermana.

Find the sum of $a$ and $b$ given $a=-1.5$ and $b=-3.2$ .

Find the values of $A$ and $B$ in the equivalent ratio $A: 7: 5=8: 28: B$ .

Solve the linear equation $-12y - 9 + 7y = 26$ for $y$ . Simplify the solution.

Find the roots of the function $f(x) = 0.5x^3 - 4.5x$ .

Find real and complex zeros of $x^3 - 2x^2 + 4x - 8 = 0$ using synthetic division, given $(x - 2)$ .

Find the value of $7-m$ when $m=\frac{7}{9}$ . Express the answer as a fraction or whole/mixed number.

Find the linear equation in slope-intercept form that best fits the given table of $(x, y)$ values: $y = 1.6x - 5$ .

Find the value of $x$ that satisfies the equation $f(x)=4x$ and $0=4x$ .

Find the 6th term in the Taylor series expansion of $f(x)=3e^{4x}$ around $x=4$ .

Solve for $p$ where $99 > 13 - 2p$ .

Encuentra la media de los números $2, 3, 5, 6, 8, 8, 11$ dividiendo su suma entre $2+3+5+6+8+8+11$ .

Find the 4th term of a geometric sequence with first term $a_{8}=50$ and common ratio $r=0.5$ .

Solve for $c$ in the equation $0.4c = -14$ .

Solve for the value of $c$ in the equation $12=\frac{c}{4}-8$ .

Find the values of $x$ that satisfy the equation $8^{x-4}=64^{x+1}$ .

Find the solution for the expression $\$(3y - 2z) 5\$$ .

Solve the linear equation $-6(v+2)+4v+6=7v+11$ .

Find the most accurate statement about the given $6 \times 6$ matrix $A$ , which could be the adjacency matrix of a graph or a digraph.

Solve for $x$ in the equation $x(6+x)=2-[3x-(x+1)^2]-4$ , rounding the answer to the nearest thousandth.

Solve for $x$ in the equation $-4x=5$ , then multiply both sides by $\frac{1}{3}$ to find the new equation.

Solve for $x$ in the equation $(x-4)^{2}+4=49$ . The solutions are $x=\pm 7$ .

Find the equation of the line passing through the points $(0,4)$ and $(-8,7)$ in function notation $f(x)$ .

Rewrite $y-2=\frac{1}{3}(x+6)$ in standard form $Ax+By+C=0$ .

Find the number of small ( $x$ ) and large ( $y$ ) boxes of paper shipped, given total weight of 1260 lbs and $x$ small boxes at 35 lbs each, $y$ large boxes at 70 lbs each.

Find $a$ when $a$ varies directly as $b^2$ and inversely as $c^3$ , given $a=176$ when $b=8$ and $c=4$ , and $b=3$ and $c=7$ . Round your answer to two decimal places.

Solve $20=5 x^{1/5}$ for $x$ . Options: A) $x=128$ B) $x=1,024$ C) $x=512$ D) $x=256$

Subtract the functions $f(x) = -5x^2 + x - 2$ and $g(x) = -3x^2 + 3x + 9$ .

Solve for the variable $x$ in the equation $76 = -43 + x$ .

Find the original number $m$ given that when multiplied by 3, the result is 27.

Find the value of $x$ that satisfies the equation $-3x + 27 = 8x + 5$ . Compare the variable and constant terms.

Solve a system of 2 linear equations with 2 variables. Find the highest common factor of the terms in the first equation, then write an equivalent equation. Solve the system.
$6x - 9y = 15$ $2x + 5y = -3$

Charm bracelet costs $65 plus$ 25 per charm. Equation $-25x+y=65$ gives cost $y$ (in $) where$ x$ is number of charms. Find cost of bracelet with 3 charms.

Find the equation of the line passing through (5,7) and perpendicular to $4x + y = 9$ .

Find the difference between $2.5$ and $12.2$ .

Find the exact solution to the equation $2^{2x} = 5^{x-1}$ .

Encuentra la pendiente de la recta definida por la ecuación $x=7$ .

Find the prime factorization of 125. $5 \times 5 \times 5$ , $5 \times 25$ , or $5 \times 100$ .

Estimate the true mean weight of all chocolates produced by a machine with a $99\%$ confidence interval, given a sample of 18 chocolates with mean $3.1$ grams and standard deviation $0.09$ grams.

Rewrite $x^2 + y^2 - 18x - 2y + 1 = 0$ in standard form of a circle equation by completing the square.

Evaluate $g(x)=6^{x}+9$ at $x=-1$ . Find the $x$ when $g(x)=225$ .

Solve for $x$ in the equation $2(x+7)^{\frac{2}{3}}=8$ .

Find the value of $5 + (-7)$ .

Determine if the equation $c + d^2 = 36$ is linear or nonlinear.

Simplify the expression $4 \times 1 + 3 \times \frac{1}{10} + 9 \times \frac{1}{1,000}$ and enter the decimal form.

Find the roots of the quadratic equation $5v^2 - 125 = 0$ .

Simplify the equation: $-7 + 2 = 3x - 4$

Solve for $x$ in the equation $3^{x}=\frac{1}{9}$ .

Solve for $x$ : $-2x + 7 \leq 38$

Find the line of best fit for the median price of existing homes from 2000 to 2007. The price was $\$160,000$ in 2000 and $\$240,000$ in 2007. Write the equation in slope-intercept form, rounded to the nearest tenth for the slope and nearest dollar for the $y$ -intercept.

What is the value of $\frac{610}{0}$ ?

Rewrite the quadratic relation $5 x^{2} - 2 y = -x + y$ as a function of $x$ .

Find the missing factor: $Z \times 8 = 32$ . Solve for $Z$ .

Find the antiderivatives of $f(x)=-8 \sec^2 x$ and verify the solution by taking the derivative.

Graph $f(x)=2^{x}-128$ , find its zero, and solve $f(x)<0$ based on the graph.

Find the missing inputs and outputs for a machine that transforms $x$ to $0.6x$ based on the given examples.

Write an expression for "7 divided by $c$ ."

Find the base number for the expression $1.7^{3}$ .

Find the value of $t$ when $u=3$ given that $t$ and $u$ are in direct proportion with the equation $t=9u$ .

Simplify the sum of two rational expressions with a common denominator: $\frac{7y}{8y-8} + \frac{8}{8y-8}$ .

Solve for (x, y) using graphing. If no solution, enter "NO SOLUTION". System: $x+y=1, 4x-y=-26$ .

Order the fractions and mixed numbers in ascending order: $\frac{3}{2}, \frac{11}{4}, 1 \frac{1}{4}, 2 \frac{7}{8}$

Solve the linear equation $15-2 w-2=2(w-15)-1$ for the variable $w$ .

Find the velocity of a wave in shallow water with depth of 6.5 feet, given the equation $v=\sqrt{32 d}$ .