Show that the vector x = 0 3 is in the span of the vectors 3 ------C = y = 0 -3 2 W= 0 1/2 = 12 11

Q: x-3 <-2x+3 write the solution to the inequality in interval notation

A: We have given an inequality  x-3&lt;-2x+3 x+2x&lt;3+3 3x&lt;6 x&lt;63 x&lt;2 Interval notation :…

Q: Automotive Excellence Inc. borrowed ​$15,000.00 on June 21 with an interest rate of 8.1​% per annum.…

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Q: C (X-h)² + (8-k) 1.21 To four significant figures, compute the two intersections of a line whose…

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Q: The formula S = C(1 + r) models inflation, where C = the value today, r = the annual inflation rate…

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Q: a. Find the equation of the line in slope-intercept form that passes through (1,2) and (-2,-7).…

A: (a) To find the equation of the line in slope-intercept form that passes through 1, 2 and -2, -7.…

Q: Let A and B be the following matrices. Perform the following operations: A. B = B. A = -37 67 28 -26…

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Q: Solve the given equation for x. e6x-8-e=0 X= (Simplify your answer. Type a fraction or an integer.…

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Q: At one family reunion, every niece was a cousin. Half of all aunts were cousins. Half of all cousins…

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Q: Several research papers use a sinusoidal graph to model blood pressure. Suppose an individual's…

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Q: |0 1J (a) Write A in terms of A and I. (b) Find A5 for the matrix Similarly, multiplying both sides…

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Q: Mulitple choice section (a) If A and B are n x n matrices, then det (AB) = A. det(A) + det (B) B. -…

A: Given that A and B are square matrices of same order

Q: Describe the transformation from the graph off to the graph of g. -2 -1 0 1 f(x) -9 -2 -1 0 g(x) =…

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Q: 20. Given f(x) = (x - 3)(x+5) + 3. When f(x) is divided by (x - k), the remainder is k. Find k.

A: Given;  f(x)=(x-3) (x+5)+3.

Q: Given that f(x) = 3x+2 and g(x) = 3 3x-3 O 3 X-1 O 3x X-1 +2 +2 +2 1 3x + 1 1 x-1 find f(g(x))…

A: Given query is to find the composit function.

Q: For each relation, decide whether or not it is a function. Relation 1 Domain Range V O Function ONot…

A: The given relations, 1. Domain Range v s v e b x h y h h 2. Domain Range -2…

Q: Transform into standard the funct y=(x-1)^(2)+9

A: Given,  y=(x-1)^(2)+9

Q: A farmer purchased 235 acres of land for $4,900/acre. He paid 25% down and obtained a loan for the…

A: Given:   First we will find the amount of loan the farmer has taken    Calculating the amount of…

Q: A farmer has 5,000 ft of fencing to enclose a rectangular region. ab L Write a function that…

A: Given that , perimeter = 5000 ft Write a function that represents the enclosed area of the region as…

Q: Express sin60in terms of powers of sin @only

A: To express above trigonometric ratio in form power of sin

Q: Write down the linear system of equations for the coefficients of a linear polynomial f(x) = ax+b,…

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Q: MULTIPLE CHOICE If x and y vary directly and Y=8 when x = 12, what is the constant of variation for…

A: To find the value of k.

Q: a) Find the length of x (to 2 decimal places) in Figure 2. 11 6 X 2 Figure 2: A right-angled…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10. (9x² + y-1)-(4y - x) y = 0, y(1) = 0 which the gi

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Q: -616+4√81+√192

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Q: Please written by computer source Simplify. Write your answers in the form of a+ib, where a and b…

A: We have given square of a complex number  Let, z=8+3i2 z=82+2×8×3i+3i2 z=64+48i+9i2 As , i2=-1…

Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: Given query is to find the time when velocity is 140 m/sec.

Q: Let A = -6 6 Find two different diagonal matrices D and the corresponding matrix S such that A =…

A: Consider det[A-λI]=1-λ1-66-λ=0⇒1-λ6-λ+6=0⇒λ2-7λ+12=0The eigenvalues are:λ=4,3

Q: Find the measure of each marked angle. Assume the lines are parallel. (2x-23) = O (x+2) = °…

A: we know alternative interior angles are equal there for  (2x-23)°=(x+2)°

Q: Find the measure of each marked angle. Assume the lines are parallel. x+1=° 9x-31 = (Simplify your…

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Q: Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x is…

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Q: Consider the system of linear equations 2x₁ + 2x₂ - 2x3 -5 x₁ + x₂ - X3 4x₁8x₂ + 8 x3 (a) Write down…

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Q: Below is the graph of y=x. Transform it to make it the graph of y = 3 x−2| +1. N -2- 6

A: Given: Parent function y=|x| transform it to make it the graph y=3|x-2|+1

Q: What properties of multiplication make it easy to compute these values mentally? (a) 54 13+46-13 (b)…

A: Given:- (a) 54·13+46·13 (b) 22·44+22·56 (c) 60·25-12·125

Q: nd the measure of each marked angle. Assume the lines are parallel. 1= -61= mplify your answers.…

A: From the graph -   one angle is : (x+1)° Second Angle is : (9x-61)°

Q: -1 5 A = 3 B = 2 1 The graph above shows the function f(x). The graph below shows g(x). -1 -2 -3 -4…

A: Explanation of the answer is as follows

Q: Find the measure of each marked angle. The larger angle measures . (9x+9)° (6x+6)°

A: we know that (9x+9)°+(6x+6)°=180°

Q: Write a statement that models d is at most −37.

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Q: Near the surface of a planet far away, the distance an object falls is a function of time. It is…

A: d(t)=5.3333t2from t=2 to t=4average velocity=∆d∆t

Q: What is the square of pi?

A: pi=π=3.1415926536

Q: 2 3 1] ²0 X -45 14 x= y=

A: 2311-45-1xy=114

Q: A = 0 3 ΟΑ OB ос OD 8 The square matrix is O E 5 $7.c-[ 2 6 4, D = 7 PE 5-2 3 6 -3, E= 5 do 2 6 7-4…

A: Types of matrix : 1.1. Row Matrix - Only One row i.e 1 x n abcde1x52. Column Matrix - only one…

Q: The graph above is a transformation of the function x² Write an equation for the function graphed…

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Q: Par (p^q) →r 9 TTT TTF TFT T F F F TT FTF FFT FF F T T TI F LL F F LL. F M FL OVO X ローロ ロロ ローロ 5

A: Solution:

Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 4 + 3x3,…

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Q: what is the fourth term of the binomial (3x-2y)^5?

A: To find the fourth term of the binomial expansion

Q: B. Define the given relation of a person's femur length and height as it is given below Length of…

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Q: Find the average rate of change on the interval specified for real numbers b. h(x) = 4x2 on [1, b]…

A: Topic - Average rate of change of function over interval We are given a function  h(x)=4x-2 on [1,b]

Q: Solve the given equation for x. 102-5x - 5x = 106x-8 X= (Type a fraction or an integer. Simplify…

A: The given equation 102-5x=106x-8. We have to find the values of x.

Q: Use the properties of the logarithms to expand the following expression as much as possible.…

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Q: The height (in ft) of a projectile launched off a cliff over water is given by: h (t) = -16 t² + 205…

A: Given that height of a projectile launched off a cliff over water is  h(t) = -16t2 +205t + 140…