Show that the vectors ( 1, 0,1) ; ( -1, 2,3) and (0, 1; -1) spans R³

Q: Two numbers differ by 5. Four times the smaller number is 5 less than three times the larger. Find t...

A: SOLUTION-

Q: 1. Write the equation of the parabola in factored form.

A: Given that:                    

Q: Suppose that X is an eigenvector of a matrix A with corresponding eigenvalue 3. Then X is an eigenve...

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Q: 5. Solve for the product of: 4 B= 2 0 |-5 1 1. -4 A- : -31 15 6 12 1 1. 2 A. A*B b. B*A

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Q: Use the elimination method to find all solutions of the system 3x? – y? = 11 22 + 4y? = 8 The four s...

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Q: · 7(m + 5) = 21 -2v + 9 = 25 y- 18 = 2 . 6- 8p = 38 15 = 5k – 13

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Q: Find the axis of symmetry and the vertex of function has a minimum or a maximum valu 1. f(x) = 2x2 –...

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Q: At In-N-Out, the El D bas 18 drinks for $234. The Redwood team purchased 10 hamburgers and 175 What ...

A: Assume x denotes price of one hamburger and y be the price of a drink Then, from given problem 30x+1...

Q: 2. The value of a collectable toy is increasing exponentially. The two points on the graph show the ...

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Q: Find (fo g)(x) and (g o f)(x). f(x) = 4x +8. g(x) = 2x (fo g)(x) = (Simplify your answer.) (g o f)(x...

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Q: 2. For all positive integer n, the expression n -n+ 3 is always divisible by A) 6 only B) 2 and 3 on...

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Q: 3) f (x) -on| -1, 2]| x²+2

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Q: A ball is thrown vertically upward. After t seconds, its heighth (in feet) is given by the function ...

A: Answer: The solution is given below as: 

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f•g)(x), and d. f(x) = x- 8, g(x) =7x...

A: Solved below

Q: Complete each table.

A: Part a,Given,            The table is shown below :            

Q: 25. How many positive integersns 20000 have the properties that 2n has 64 positive divisors includin...

A: Let the number n can be written as: n=∏i=1kaipi=a1p1×a2p2×....×akp2k. Here, ai=Prime factors pi=The ...

Q: Use the distributive property to multiply. Then, if possible, simplify the resulting expression. 7 (...

A: Topic = Algebra

Q: Tyler’s walking rate is 5 yard per one second. How long will it take him to travel 1 mile (1760 yard...

A: We need to find time Tyler will take to walk one mile.

Q: 19, 3.1.99 > Part 1 of 2 A carpenter is building a rectangular room with a fixed perimeter of 336 ft...

A: Topic:- geometry and calculus

Q: Given the following matrix perform the necessary operation

A: Topic:- Matrix algebra

Q: Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to...

A: The given function g(x)=-x-4-1

Q: 1 9 1 What is the largest eigenvalue of the matrix 1 11 6. 11

A: This question is based on matrix .With the help of eigenvalue finding method we got the largest eige...

Q: 1 f(x) = x²- 4x %3D

A:

Q: Use the graph to find the following. If there is more than one answer, separate them with commas (a)...

A:   Given graph  

Q: Name/Date Circumference and Area of Circles 2 A farmer has three silos. The largest silo has a diame...

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Q: 2. 81x4 16у8 b4

A: (a2-b2) =(a-b)(a+b)

Q: what is the answer of [8+(12-6)] times 5

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Q: A ball is thrown upward and outward from a height of 5 5 feet. The height of the​ ball, f(x), in​ fe...

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Q: 10. A survey conducted over the last 25 years indicated that in 10 years the winter was mild, in 8 y...

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Q: If a soft drink galatin capsule contains 4½ml of cod liver oil, what will be the total dose if 20 su...

A: We can find the answer as below

Q: Scientists measure a bacteria population and find that it is 10,000. Three days later, they find tha...

A: Scientists measure a bacteria population and find that it is 10,000. Three days later, they find tha...

Q: 160 (5, 160) 80 (4, 80) 400 • (2, 400) (1, 10) •(3, 40) 22 20) (3, 80) (4. 16) (5,3.2) 0. 2 4 6. 8. ...

A: Recursive rule for the geometric sequence is  an= ran-1     

Q: Ava was traveling in her car at 74 miles per hour (miles/h). Use the fact that 1 km is approximately...

A: We can convert the speed as below.

Q: tell whether this is a increase or decrease, then find the percent change. original amount: $5000, n...

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Q: The L norm (column sum norm) of the following matrix is evaluated as -21 -3 2 1 -1 7 1 2 O 14 O 18 O...

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Q: 12. For each part, use the graph given to determine the solution. Write the solution using math nota...

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Q: 1. Consider the line L that passes through the points A(1,-2, 5) and B(7,-5, 14). Let P(8,4, 7) be a...

A: We need to find P and distance P to L.

Q: 14. A bungee jumper always rebounds 70% of the distance fallen. If the jumper falls 150 ft for the f...

A: To find: The distance travel upward before coming to a rest. Given: A bungee always rebound 70% of t...

Q: Need help

A: Given, a2-2a-3

Q: 4. what is the cofactor of the following. a. C4 bC12 c. C32 d. C21 1 2 0 1 -2 0 3 8 5 4 2 -3 1 -41 3...

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Q: 5) For the following problem, please do each of the following: (i) Match each equation to a situatio...

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Q: This table shows the amount of money a booster club makes for washing cars for a fundraiser. Use the...

A: Given points, (5,40) (10,70) (15,90) (20,100)    

Q: 4, 24, 144, 864, ...; 11th term

A: Given: 4,24,144,864... To find: 11 th term.

Q: Use the matrix form of the Euclidean algorithm to find the greatest common divisor (165,312) for the...

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Q: 3. 2. 1. -x - 1 if - 2 2 5- 3. -2 -4 -5 Clear All Draw: Note: Be sure to include closed or open dot...

A: Given: fx=1, x≤-2-x-1, -2<x≤20, x>2   The equation of the line slope-intercept form is: y=mx+c...

Q: Let T : R" → R™ be a linear transformation, and let {v1,.., Vp} be a linearly dependent set in R". S...

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Q: Vyatt wants to buy pears and apples to make a fruit tart. Pears cost $3.50 per pound and apples cost...

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Q: 13. STEM A chemist records the temperature of a solution every 5 minutes as it cools. The recorded t...

A: topic - geometric sequence

Q: Lin is baking cakes. Each cake needs cup of brown sugar, and Lin uses 4, cups of brown sugar for the...

A: 1 cake needs 34 cup of sugar Total sugar used 412 cups =92cups   Number of cakes =Total cups of suga...

Q: Suppose that the function f is defined, for all real numbers, as follows. -5x+3 if xs2 f(x) = X-4 if...

A: Given that: f(x)=-5x+3 if x≤2x-4  if x>2