Given the points (6, 1) and (-4,8). Find the distance between the points. Find the midpoint of the line segment between them.

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Use the correct compound interest formula: A = P(1 + 2) t A = Pert If $5000 is put aside in a money…

A: Given if $5000 is put aside in a money market account with interest compounded continuously at…

Q: -2 -1 and W₂ = 1 For each of the following vectors, determine whether it is orthogonal to W₁ and/or…

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Q: Solve the 2nd order differential equation. y'' - 2y' + y + x=0. Solve analytically using y(0) = 0…

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Q: X 1 3 5 7 9 h(x) 9 7.1 1 7.2 9.1 3/ -11- 10 9 -8- -7 -6- -5- 4 3- -2 -1 0 N 00 -15 6 7 8 20 9

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Q: Find the product and simplify 2 X-X-6 3 4x X 2 2x + 2x 2 X +5X+6

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Q: Use the graphing tool to graph the inequality. Click to enlarge graph ***

A: Given that expression we have to find the graph of the given expression

Q: Find the domain of each 1 a. f(x) = b. f(x): X X √x+5

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Q: Graph the system below and write its solution. y=-=√x+2 -x-4y=-4 Note that you can also answer "No…

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Q: Use the graph to find the domain of the function. S

A: By using the following graph to find the domain of the function.

Q: The percent of female smokers 18 years and older has decreased from 1965 to 2002. Use the table to…

A: Given Table is

Q: a. Solve each equation √3x + 4 = x b. √x 1 + 3 = x

A: There are two equations in radical form The objective is to solve them and find the value of x

Q: A principal amount of $11,200 is placed in a savings account with an APR of 2.88% simple interest…

A: A principal amount of $11,200 is placed in a savings account with an APR of 2.88% simple interest…

Q: 2. 3x²-2x-8 Factor by grouping

A: We have given a polynomial in one variable: 3x2-2x-8 To find the factors by grouping method, first…

Q: Find the domain of the following rational function. -5x² (x - 5)(x+8) H(x)= Select the correct…

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Q: For each of the following, set up either a system of equations in two variables or a quadratic…

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Q: 4. Show that the diophantine equation x - y = z² has no solutions in nonzero integers using the…

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Q: It turns out that there are none zero integer (whole numbers with no decimal points) solutions…

A: This is question of algebra Here Right angle triangle is given and use Pythagorean theorem.We have…

Q: First term is Common difference is

A: Given that the arithmetic sequence 9th terms is -38 and 17th terms is -62 we have to find first…

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

A: Given that  the lift L (in pounds) on a certain type of airplane wing  is given by formula Where v…

Q: 8. -3x² + 6x+9

A: Solution:Here -3x2+6x+9

Q: Consider the system 8 0 BALL] -4 6-4 a -26-8 a. Given that b-4, for which value of the parameter a E…

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Q: What is the correct way to notate the blue region indicated by this Venn Diagram? U A B Enter a, b,…

A: To find the correct way to notate the blue region indicated by the the following Venn diagram.

Q: 7) Maximize Use the graphical subject to: method to solve the linear programming problem. z = 6x +…

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Q: * Let be the vector space of all polynomials of degree 2 or less, and let H be the subspace anned by…

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Q: 15=40t-5t^2

A: To solve the following the quadratic equation.

Q: = Sketch the region D = {(x, y) | 0 < x < 1, 0 < y < a2} and then evaluate the integral SSD y√x² -…

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Q: Find the prime factorization of the following: a) 989 b) 9555 c) 8000

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Q: Solve the problem. A pharmacist wants to mix a 10% saline solution with a 40% saline solution to get…

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Q: For the investment described below, V is the investment amount in dollars, t is the elapsed number…

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Q: 6. Using the data from Table 1 in the paper, suppose we can create the results for the main exposure…

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Q: Let f: Z→ Z be defined by f(x) = x² - 1, and let C = {0, 1,3}. Find f(C), f-¹(C), f(f(C)) and…

A: Here we will find the given function on finding the inverse of the given function and after that we…

Q: Solve the system by the addition method. Be sure to check all proposed solutions. x + y = 2 x - y =…

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Q: Verify all vector space axioms and determine, if the set of all triples of realnumbers (?,?,?) is a…

A: The objective of the question is to verify if the set of all triples of real numbers (x,y,z) is a…

Q: Given the following Venn diagram, find n(BUA° ). A 65 B C 15 E 50 D 45 27 13 3 15 5 12 15 B 15 U

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Q: State the starting value a, the growth factor b, and the percentage growth rater for the given…

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Q: x+2y-z 2x + y + 3z x - 4y +9z is inconsistent unless c = 2b - 3a.

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Q: Silicon-32 decays according to a continuous exponential decay model. The half-life of silicon-32 is…

A: The formula of quantity of the substance remaining in terms of half life is as below:wherequantity…

Q: Find the domain and range. -5 +10+ -5- 0 LO LO 5

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Q: Write the sum using sigma notation: —2 – 4 – 8 + ... – 256 - Σ i=1

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: These triangles are similar. solve for the indicated sides: X X +4 3 5

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Q: 1. 6р - 6 р 2 2p 9p - 9

A: To simplify the following expression.

Q: 2 X²³² +8x²+12 Factor by grouping

A: Let P(x)=x2+8x+12

Q: Divide гр-ч P p Ч Op-zc 35p² 35р? 1p-zo

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Q: Solve the following system of equations: 2x1 + 2x2 = 3 x1 + x2 = 4 Find the least square solution…

A: The given system of equations

Q: On May 13 research-ers at Spirit Lake tagged 420 fish. When they returned afew weeks later, their…

A: On May 13 researchers at Spirit Lake tagged 420 fish. When they returned a few weeks later,their…

Q: Use your knowledge of the properties of logarithms to match equivalent expressions: m logb (77)…

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Q: For the function f(x) = -6x +9 a. Find the inverse b. Verify by finding f(f-¹(x)).

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Q: 5 » M2 REMEMBER Lesson 13 Write an expression that represents the word problem. Draw a tape diagram…

A: The objective of the question is to find out the total number of students in the school. We are…