Find a basis for the column space and the rank of the matrix. [ 1 (a) a basis for the column space 1 2 5 X 1 2 (b) the rank of the matrix 1 5

Q: Select the four points that appear on the line with the given slope and y-intercept. slope = A D 2 3…

A: standard form is  y=mx+c where m is slope and c is constant which is y intercept

Q: Click the best answer * y = (x + 1)²(x²+1) -1.5 D -0.5 5 3 2 0 0.5

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Q: Perform the indicated operations. (2x10-4) (6x10-9) (3x10-³)(4x10³)

A: Given expression ( 2×10-4 )( 6×10-9 )( 3×10-3 )( 4×105 )

Q: A clothing business finds there is a linear relationship between the number of shirts,n, it can sell…

A:

Q: Two linear functions, f(x) and g(x), are represented below. Compare the functions by stating which…

A: f(x)=4x-3 x -3 -1 1 3 g(x) 13 8 3 -2

Q: The area of a triangle is 384 square feet. If the base is 8 feet longer than the height, find the…

A: To find the length of base of triangle

Q: if a+b=√7 and a-b=√5 then answer to following a) find the value of 2a²+2b² b) show that,…

A: in the given question the value of c is not given there for the answer ofa abd b is possible given…

Q: 4. The graph of a function f(x) defined for -5 ≤ x ≤ 5 is shown below. The function g is given by…

A: Given  g(x) = | x |     a. y = g( f(x) ) as g(x) is absolute function , graph below x axis reflect…

Q: Find a basis for the column space and the rank of the matrix. [125] (a) a basis for the column space…

A:

Q: Question Select one: O True O False : The dimension of R2 is 1.

A: Dimension is the minimum number of linear independent set that can generate the vector space. Here…

Q: Zeros: 4. P(x)=x³+x²-3x-3 g(x)=(x-3) a. Use synthetic division to see if g(x) is a factor of P(x) b.…

A: Given query is to perform synthetic division.

Q: 2. From the list of equations below, CIRCLE ALL quadratics with complex roots. (a) y=2x²-7x+6 (b)…

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Q: Select which equation represents the line that is perpendicular to line k and goes through po - -or…

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Q: Find the laplace transform of the following equation: f(t)=41²-5 sin 3r

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Q: What is the focus of the parabola represented by the following equation? y=(x-6)²-5 20 A (6,-3) B с…

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Q: Suppose you translate the graph of y=(x-5)-7 left 4 units and up 3 units . What is the equation of…

A: Given query is to find the expression of the transformed graph.

Q: Joe earned a B- in his 5 cr math class, a B in his 4-cr English class, an F in his 3-cr chemistry…

A:

Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: Rewrite the expression log 5 Choose the correct answer below. O log 5 3√3x+7 1 O log 5 342 √3x +7 3x…

A:

Q: The sum and product of the roots of a quadratic equation are 4 and -21, respectively. What is the…

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Q: Write the equation of the line with a slope of -3 that contains the point (-4, 8). 3x

A: The equation of line with slope "m" and passing through a point (a,b) is given by y-b = m*(x-a)

Q: Solve the problem. 37) The population of a town is increasing by 200 inhabitants each year. If its…

A: we need to find out the population in year 1999

Q: 6. Jeff draws balls from the same jar. He draws three balls, this time with replacement. Find the…

A: Here no of red,blue and yellow balls is not given,so we assume that there are 2 red balls,4 blue and…

Q: Solve the system of linear equation. Check your solutions. 1 3x = -y + 2 3 9x - y = -6 Answer:…

A:

Q: What is the positive root of the incomplete quadratic equation 6m² - 8m = 0 ? Select one: a. 4/3 b.…

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

Q: (a) If the arithmetic progression whose common difference is nonzero, the sum of first 3n terms is…

A:

Q: 2. Factor completely. a) x²-5x+6=0 Factors: Zeros:

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

Q: Jorge invests $450 in an account earning 3.5% simple interest. Write an equation to represent the…

A:

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: As we know When tangent horizontal to given curve then critcial point exist or in simple way f'x=0…

Q: Simplify each expression, and eliminate any negative exponents. (a) s²t-6-2 5s-1t

A:

Q: Find all real solutions of the equation by factoring. (Enter your answers as a comma-separated list.…

A: The equation is given as , 3y2+16y+5=0 find all real solutions of the equation by factoring.

Q: How many 6-ounce glasses of wine can be poured from a 750-milliliter bottle of wine?

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Q: 64.37376(2.5) 3.6 + 64.37376² 2(9.81) (0.15+x) (3.6)² <60.03

A: Topic = Algebra

Q: If the graph of the linear equation y = 4x-1 was shifted 8 units down, what would be the equation of…

A: given  y=4x-1 for right and left shift in the graph , change in the value of x for up and down shift…

Q: 14. a. Show that x + 6 is a factor of p(x) = x² + 6x² - 16x-96. Then write p(x) as the product of x…

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Q: Solve and check for x : 10 x-3 + 10 x + 2 = 3

A: given     10x-3+10x+2=310(x+2)+10(x-3)(x-3)(x+2)=3

Q: Graph each function. A g(x)=(x-3) Complete the table of values and use it to help you graph the…

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Q: A hemisphere has a volume of 2,250π cubic meters. Find the radius of the hemisphere.

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Q: P.2.4 Date: The following table shows a person's age and the number of states they have Age of…

A: Solution: Given data,

Q: 1. Find the total area of a frustum of a right circular cone with slant height of 0.8 meters and…

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Q: Find the laplace transform inverse corresponding to the following:

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Q: Find the inverse function of f. f(x) = 5x³+3 F-¹(x) =

A: We need to find inverse function.

Q: 4. Let the function f: R - {2} → R be defined by f(x) = = x-5 2x - 3 Prove that ran(f) = R-{}}.

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Q: Use the graph off to determine each of the following. (a) the domain of f (b) the range of f (c) the…

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Q: Determine the amount of the ordinary annuity at the end of the given period. (Round your final…

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Q: Find the indicated term of the sequence. 35) The fourteenth term of the arithmetic sequence 0, 12,…

A: Given arithmetic sequence :  0, 12, 24, .......   The first term is : a=0 The common difference(d)…

Q: 12. Error Analysis A student was asked to graph the function g(x) = (x+3)-2. The student's work is…

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Q: Consider the vectors U₁ = 2.]. 0 3 U₂ = 2 0 = 1₁ 1² = 1 of L [belon 4 2 M2x2. The vector (U1, U2,…

A:

Q: Use f(x) = 3x - 5 and g(x) = 4 – x² to evaluate the expression. (a) (fog)(-2) (b) (gof)(-2)

A: Given f( x ) = 3x - 5g( x ) = 4 - x2

Q: 12. Find the domain of the function. (Enter your answer using interval notation.)

A: Given function f( x ) = ( x + 5 ) ( x2 - 1 )