Show all work to solve 3x² + 5x - 2 = 0.

Q: Solve the system 21 +22 I2 +23 21 23 +24 +24 21 I2 23 +8 === = -2 ===== 4 = 7

A: Question: 1) First, we have the following system of equations:  x₁ + x₂ = 1  x₂ + x₃ = -2  x₃ + x₄ =…

Q: Please solve: Mr. Jones has 550 goats, which is 10% more than Mr. King has. How many more goats does…

A: From the problem, we know that:Mr. Jones has 550 goats.This number is 10% more than the number of…

Q: Exercise 11.5. Find: (1) gcd (x³-3x+2, x 4 + 4x² + 2x + 1) = Q[x]; (2) gcd (x³- 2x2 − x + 2, x² +…

A: Find ) in Step 1: Express PolynomialsWe are given two polynomials:,Step 2: Use Polynomial DivisionTo…

Q: Sketch to scale the orbit of Earth about the sun. Graph Icarus’ orbit on the same set of axesWhile…

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Q: A rectangular park is 8 miles long and 6 miles wide. How long is a pedestrian route that runs…

A: Step 1: Step 2: Step 3:

Q: Problem 13.3 Consider the network of streets with intersections A, B, C and D below. The arrows…

A: IMAGE 1:IMAGE 2:

Q: A tablet computer has a 1 inch border of plastic around the screen. What is the area of the plastic…

A: We find the area of the plastic border, you need to calculate the total area of the tablet…

Q: Question 1 (1 point) What are the correct steps to simplify the following problem? (4x² + 11x-1)…

A: Step 1:

Q: Kun je een algebra som maken van een VWO niveau en er dan een uitleg en antwoord naast zetten?

A: Laten we een algebraïsche vergelijking van VWO-niveau nemen. Bijvoorbeeld, de vergelijking is…

Q: 3. Consider the transformation T: R² R², T(= A defined by the matrix A = 82 - ( 33 ) 24 " Determine…

A: Transformed vertex: (0,0)Sketch:Below is a visual representation of the transformation. The dashed…

Q: Solve for the variable in each equation.

A: Step 1: Eliminate the square root by squaring both sides.     Squaring both sides removes the square…

Q: University of lub has three offier positions available and 10 active members. The positions…

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Q: Find and equation in the form y = mx + b of the line that satisfies the given conditions: Slope…

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Q: d³m4 -2 10 Consider the expression (dr when d = 6 and m = -1. d²m-1 , Evaluate the expression using…

A: Step 1: Step 2: Step 3: Step 4:

Q: Exercise 6.3. Let G be a finite group satisfying that for every positive integer m dividing |G|,…

A: This problem asks to determine whether a finite group G, which has exactly one subgroup of each…

Q: How much will a car purchased in 2014 for $35,750 be worth in 2022, if it is depreciated at 10.5%…

A: 4. Multiply by the Original Value:Finally, multiply the result by the original value of the car to…

Q: A casual fast food restaurant offers 5 different toppings that each can be served over one of 3…

A: We need to calculate the total number of distinct combinations of filling, base, and sauce a…

Q: Q1) If (R, +,.) is integral domain, then the characteristic of R is either zero or prime. ==== Q2)…

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Q: Problem 3. Let n € ZÃ with n ≥ 3, and let r, s Є DÅ be the elements defined by s(v) = Sov v Є R². n…

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Q: The cost of renting a canoe to use on River Y costs ​$22. The cost of renting a canoe to use on…

A: Let's denote the cost of renting a canoe on River Y as cY and the cost of renting a canoe on River Z…

Q: add the following hours and minutes: 2 hrs 15 min3 hrs 25 min3 hrs 26 min1 hr 07 min1 hr 15 min1 hr…

A: First, we add all the hours together. The given hours are:2, 3, 3, 1, 1, 1, 1, 1, 3, 2, 2, 3, 3, 2,…

Q: cuemath Percentage Word Problem worksheet 4 word Selve the following to the attached paper Show your…

A: Question# 1.Step 1:Maria claims that 32% of 89 is the same as 89% of 32. To check this, we calculate…

Q: Use the graph to solve 3x2-3x-8=0

A: To solve the equation 3x^2−3x−8=0 using the graph, you need to find the points where the parabola…

Q: part a) please

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Q: Refer to attached images

A: (a) Find the value of p and q The function  f(x)=4x2−13x+2​​  has restrictions x ≠ p and x ≠ q. The…

Q: Thank you.

A: The proof relies on group theory, specifically the multiplicative group G=(Z/pZ)∗, which consists of…

Q: Problem 2. Let n Є Z. Let G = R GLn(R) as a set, and define a binary operation on G by (v, A) (w, B)…

A: Checking closure of the binary operation '*':Checking associativity:Finding identity elementFinding…

Q: HOW DO YOU SEE IT? Ум -4 -2 2 4 6 x -2- 4 h k a. Match y = x²+4x+4 quadratic function with its…

A: Step 1: To match the given quadratic functions with the graphs given in the figure, we will use the…

Q: 모 What term should be in the blue box if the tabular method is being used to solve (6x² + 8x - 5)(3x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Rewrite the rational exponent 243 to the power of 2 over 5 end exponent as a radical expression.…

A: Given, (243)52​Express it as a radical expression,    ⟹(243)(2×51​)    ⟹(24351​)2    ⟹(5243​)2  (a…

Q: The population of village is 2500. The population is decreasing exponentially at a rate of 3% per…

A: The problem is about exponential decay. The initial population is 2500 and it is decreasing at a…

Q: Part A: A science class launched toy rockets. The quadratic equation -16+2 + 36t - 8 = 0 represents…

A: Given: The equation representing the height of a rocket at time t seconds is: −16t2+36t−8=0 We need…

Q: A large mixing tank currently contains 200 gallons of water, into which 10 pounds of sugar have been…

A: The concentration of sugar is given by: C(t) = (Sugar in tank at time t)/(Water in tank at time t).…

Q: Slope models the direction and steepness of a line, while the y-intercept defines the starting…

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Q: The county's new asphalt paving machine can surface 1 km of highway in 10 h. A much older machine…

A: To solve this problem, we can calculate the rate at which each machine surfaces the highway, add…

Q: Solve for x and prove whether or not your solution(s) is extraneous. Provide a written explanation…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: The table represents a quadratic function. Write an equation of the function in standard form. x 4 6…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2,…

A: To determine which vectors are in the span of {u1​,u2​,u3​}, we need to check if each of the given…

Q: Solve for the variable in each equation.

A: The given equation :6x−8​12​=3We have to solve the equation for x.  Now, 6x−8​12​=3⟹12=36x−8​    […

Q: 2. Find the distance between the point (1,-1,2) and the plane 2x + y -3z - 4 = 0 in R³.

A: Step 1:Step 2: Step 3: Step 4:

Q: 8. Which polynomial goes in the box when dividing polynomials? 3x 2x + 36x2 6x² Ex +7 + 9x

A: Step 1: Subtract the 6x2 - 5x + 7 and 6x2 + 9x 6x2-5x+7-6x2+ 9x ────────────────────────── (6x2 -…

Q: Exercise 7.6. Find the elementary divisors of the following factor groups: (1) (Z4 Z10)/((2,5)) (2)…

A: To find the elementary divisors of the given factor groups, we need to look at the group orders and…

Q: a) Find the scalars p, q, r, s, k1, and k2.  b) Is there a different linearly independent…

A: a)b) There are no other linearly independent eigenvectors associated with k1 = 1 or k2 ​= 2. Each…

Q: solve using square root

A: To solve the equation 7x2 + 5 = -7 using square roots, follow these steps: Step 1: Isolate the x2…

Q: Solve using synethetic division 4x² - 44x+74 x-9 TT √± 5

A: Step 1: Step 2: Step 3: Step 4:

Q: 7. Consider the optimization problem below. Maximize = -2x1 + 4x2 + 23 subject to 5x1 + 22 - 323 3…

A: Step 1:

Q: Identify the y-intercept of the graph of R(x) = Choose the correct y-intercept. ○ A. -1 OB. -7 ○ C.…

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Q: add the follwoing hours and minutes: 2 hrs 48 min, 6 hrs 33 min, 9 hrs 42 min

A: Given:Time 1: 2 hours 48 minutesTime 2: 6 hours 33 minutesTime 3: 9 hours 42 minutesAdd up the hours…

Q: a = b = Find a and b such that -35 -30 = a 3 +b 3 -25 2 3

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Q: Problem 4 Express the area of a rectangle with width x + 1 and height 2x - 2 as a polynomial.

A: Given:Width: x+1Height: 2x-2Area=width * heightA= ( x+1)*(2x-2)A=…