In Exercises 7-10, determine the values of the parameter s for which the system has a unique solution, and describe the solution. 7. 68x₁ + 4x₂ = 5 9x1 + 28x₂ = -2 8. 38x1 + 5x₂ = 3 12x1 + 58x₂ = 2

Q: Write equation of the circle described. 10) Endpoints of diameter are (7,10) and (9,-4)

A: Endpoints of diameter are (7,10) and (9,4)

Q: Three numbers form a geometric progression. If the second term is increased by 2. then the…

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Q: Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave 50% of…

A: Given Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave…

Q: ectangle is 4m longer than its width. If the perimeter of the rectangle is 36m, find its area.

A: Given: The length of a rectangle is 4m longer than its width. If the perimeter of the rectangle is…

Q: 2x + 5 Rewrite g(x) a x + 2 x-h describe the graph of g as a transformation of f(x): translation As…

A: To rewrite gx=2x+5x+2 in the form gx=ax-h+k. Then to describe the graph of g as a transformation of…

Q: Use the same technique as in 4 and 5 above to factorise the following show all the steps x²-2x+1

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Q: domain range || = 0

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Q: Find the linearization L(x,y) of the function f(x,y) = (x+3y + 1)² at each point. a. (0,0) b. (2,1)…

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Q: Write equation of the circle described. 8) Center (4,-5); radius 7

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Q: List the elements of the set. (Enter your answers as a comma-separated list. Enter your answers…

A: The given set h, i, s, t, o, r, y∪m, u, s, i, c. We have to list the elements in the set.

Q: 28) h(x)=-2/x+1-4 -10 -5 10 -10+ 5 王 10x

A: Given: hx= - 2 x+13 - 4

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Q: Question 2 of 25 : Select the best answer for the question. 2. What is $3,850 minus $925 ? A. $925…

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Q: The perimeter of a rectangle is 94 cm. If the length is 22 cm, how wide is the rectangle? A) First…

A: Given the length of rectangle is, l=22cmPerimeter=94 cmLet the width be w cm

Q: List the elements of the set. (Enter your answers as a comma-separated list.) {4, 2, 8, 3} ∪ {6, 7,…

A: The set A is {4,2,8,3}. The set B is {6,7,0}. Then, A U B means the elements of set A and set B.

Q: Multiply. (8 +9i)(4+2i) Use the FOIL method to identify each term that results from multiplying…

A: In the product (a+b)(c+d)First is the product acOuter is the product adInner is the product bcLast…

Q: 4. Which expression represents 180 written as a product of prime factors? A2×3×5 B 2x9x5 22x3x5 22 x…

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Q: Solve for the unknown: 4? − 5 ≡ 10^200 + 56 * 12^2023 (??? 11)

A: To solve for the unknown, we need to use modular arithmetic. First, let's simplify the right-hand…

Q: b) Divide 132 into the ratio 2:7:3 c) If a person is 246 months old. Express the person's age in…

A: (b) Divide 132 into the ratio 2:7:3    2 + 7 + 3 = 12   212×132 = 1326= 22   712×132 = 7×11 = 77…

Q: 5. Describe the transformations on the logarithmic function g(x) = -log[(x − 2)] +

A: we need to write down the transformations.

Q: You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents…

A: Let the numbers of minute talked = t first plan charges 22 cents per minuteC1=0.22tsecond plan…

Q: A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $20…

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Q: Write equation of the circle described.  11) Endpoints of diameter are (-10,12) and (8,-2)

A:

Q: 5 In a survey, 1500 primary school children selected their preferred ice cream flavours: Mango,…

A: Given Data : Total number of primary school students is 1500. The all ice cream flavours are  Mango,…

Q: 0.5x1.2 =

A: Here we have to multiply.

Q: f(x)= X g(x)= = 3 x+1 33) h(x)=√√√x+1 (B) (x) d(x) = x² − 4 t(x) = −2x² +5

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Q: Graph the given system of inequalities. 2x + y 2 -8 8x + 4y ≤ 0 www Use the graphing tool to graph…

A: Topic = Inequality

Q: amp John and Mark shared $170. John spend of his money and Mark spent $10 5 more than John. The…

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Q: 8. The table shows the prices for admission tickets at a science museum. A group purchases 4 adult…

A: We can solve the given problem by using basic arithmetic operations.

Q: Let II be the plane x + y = 3. Let P = (2, 0, 2) and Q = (0, -4, 6). Let II₂ be the plane that…

A: Given that  The equation of plane π1 is x + y =3........(1)  given two points are P =(2, 0,2)…

Q: I have 20 coins consisting of quarters, dimes and nickels. There are 2 more nickels than quarters. I…

A: I have 20 coins consisting of quarters, dimes and nickels. There are 2 more nickels than quarters.…

Q: Identify any local minimums in the graph below. Write your answer as an ordered pair with no spaces.…

A: Graph of the function is given, we have to find its local minimums.

Q: Let L. be the line with parametric equations y=-8-31 ==-1-2t Find the vector equation for a line…

A: Please see the below picture for detailed solution.

Q: wo cyclists, 63 miles apart, start riding toward each other at the same time. One cycles 2 times as…

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Q: x) = √3-x x) = = 2√x - =) = -2x - 4 ) = 2x + 4

A: We have to choose the correct option according to the given functions

Q: Over 50 515,000 530,000 But Not Over $15,000 $30,000 Tax Due 2.5% of taxable income $375 plus 6.3%…

A: Given if income 0 ≤ I ≤ 15000      2.5% of taxable income if income 15000 < I  ≤ 30000…

Q: For the equation y = a) Complete the table: (Choose any Integer for x) C = -21-2 -10-9-8-7-6-5-4-3-2…

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Q: D 14 F (354.0.64) -2 M (7461) (-∞, -3.54) (-3.54,-0.7) (-0.7, 2) (2,00)

A:

Q: Use the following theorem: If T:Rn → Rm is a linear transformation, and e₁,e2, ..., en are the…

A: To find the standard matrix for T, we need to find the images of the standard basis vectors for R^2…

Q: Fill in the blank: A function must be inverse function. real valued one-to-one linear pass vertical…

A: If f is invertible, then the function g is unique, which means that there is exactly one function g…

Q: Find and simplify the expression if f(x)=x²-2. f(3+h)

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Q: (bv d) ↔ (b^ d)- b (d← b) ← (b←d) (bvd) ↔ (bnd) H a P→ (pVq)

A:

Q: a) Evaluate: 21-12 + (4-10)

A: Given 21 - 12 ÷ ( 4 - 10 )

Q: Which of the following sets are equal? Please Explain. A = {x € R|-2≤x≤2} B = {x € Z-2≤x≤2} C = {x €…

A: To determine which of the following sets are equal. A=x∈R -2≤x≤2B=x∈Z -2≤x≤2C=x∈Z+ -2<x<2D=0,…

Q: Solve the linear equation algebraically and graphically: 4x – 5y = 22, x + 2y = 12 Find the length…

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Q: 3) y = x-3

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Q: 5) y = √√2x-3

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Q: A function is given. Determine the average rate of change of the function between  the given values…

A: Given that the function is       g(x) = 1/(x+1) ; x=2, x=3 .  Here we have to determine the average…

Q: 7 16 a. Find A -24 15 3 20 1 and use it solve the four equations Ax=b₁, Ax=b₂ Ax=b3, and Ax=b4- b.…

A: Given

Q: > f(x) = f(x) = x-5 3 x-1 3. 4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…