Solve by back substitution. y = 1 x-y-z=6 2y+z= -5

Q: Find the equation of the line passing through (– 2,1) and parallel to y = 3x - 4.

A: The equation of a line in slope-intercept form is                       y=mx+c,where m is the slope…

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A: Consider the graph

Q: System A System B -8x+9y=-13 [A1] 7x=-28 [B1] 5x-3y=-5 [A2] 5x-3y=-5 [B2] Answer the questions…

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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: Give a 3 x 3 elementary matrix E which will carry out the row operation (-6) R₂→ R₂. E= Test that E…

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Q: Estimate the x- and y-intercepts from the graph. Write each intercept as an ordered pair. 89

A: To estimate the x- and y-intercepts from the following graph.

Q: Find the Error  -9 + 8 -2(4 x -3) - 1 -9 + 8 - 2 (-12) - 1 -1 - 2(-12) -1 -1 - 24 -1 -26 slove it,…

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Q: A = 1 10 0-4 1 0 05 ) Compute the characteristic polynomial of A. det(A - AI)

A: Given,

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: For each ordered pair (x, y), determine whether it is a solution to the inequality x>2. (x, y) (8,2)…

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Q: Find a parametrization of the line in which the planes x + 2y + 4z = -4 and 2x + 3y + 6z = -7…

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Q: In a raffle where 7000 tickets are sold for $2 each, one prize of $2500 will be awarded.     What is…

A: The objective of this question is to calculate the expected value of a single ticket in a raffle.…

Q: K Determine whether the following problem involves a permutation or a combination and explain your…

A: Given letters are{ Q, R, S, T, U, V, W }How many different 5 - letters passwords can be formed from…

Q: Use properties of exponents to simplify the expression. Express answers in exponential form with…

A: Let assume,

Q: Solve the log equation. Write the solution set with the exact solutions 44) In x + In(x - 5) =…

A: Given,

Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given…

A: we need to find the mean.The mean is nothing but the average of the given set of values. It denotes…

Q: are Exercise 11.2.2 On C[-1, 1], which of the following functions orthogonal to each other? fi(x)=x,…

A: The definition of orthogonality of a function states that two functions p and q are orthogonal on…

Q: The functions s and t are defined as follows. s(x) = -2x+2 2 t(x) = x² + 1 Find the value of s (t…

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. 4 g(x) = 4x h(x) =…

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Q: Solve for X. X = -8 X = I.

A:

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

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

A:

Q: Suppose that $2000 is invested at a rate of 3.3%, compounded semiannually. Assuming that no…

A: Given that $2000 is invested at a rate of 3.3%, compounded semiannually.The given time is 9 years.

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Q: a) The volume is (Simplify your answer. Type an integer or a decimal.) b) The surface area is…

A: Given that the three-dimensional figure we have to find the volume of the figure and surface area

Q: Iodine-131 has a half-life of 8 days. Find the amount remaining after 7 days if we start with 11…

A: Iodine-131 has a half-life of 8 days.t1/2=8 days k=ln⁡(2)t1/2k=ln⁡(2)8

Q: A science class has a total of 37 students. The number of males is 13 more than the number of…

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Q: In a box there a total of four prizes: Two of them are worth $4, a single prize worth $14, and a…

A: The objective of this question is to calculate the fair price for a game where a player can draw one…

Q: A savings account is started with $20,000. After t years, the amount in the account is given by P(t)…

A: A savings account is started with $20000After t years, the amount in the account is given by…

Q: The Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice,…

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Q: Solve and check the equation. 1.4x + 4.3 = 0.6x - 1.94 O {-7.79} O {0.128} O {-7.8} O {-7.722}

A:

Q: 2. Let T: Mnxn → Mnxn be defined by T(A) = AT i) Show that T is a linear transformation ii) Show…

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Q: a. 4-2 Simplify all of the following, write answers with positive exponents: b. 3x¹y5 (9x³y – xy²)…

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Q: Suppose that the functions g and h are defined as follows. g(x) = x + 6 h(x) = (x-3)(x-5) (a) Find g

A: Given: To Find: (a) To find (b) To find the value that are not in the domain of .

Q: Find the general solution of the given system. 5-1 2 -150X -1 05 X(t) = X'=

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Q: In Mrs. Wade's class there are 13 boys and 18 girls. If one student is selected at random, what is…

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Q: A cylinder has a diameter of 16 feet and a height of 5 feet. What is the volume of the cylinder?…

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Q: Graph the inequality in the coordinate plane. x>1

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Q: 0.75 -1.5g - +30 2

A: To graph the line, we need only two points.xy=0.5x+6-12y=0.5(-12)+6=00y=0.5(0)+6=6Draw a line…

Q: 19 years ago, a certain home was worth $219,000.00. This home is currently worth $384,018. Assuming…

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Q: Calculate the slope of the line passing through the given points. If the slope is undefined, so…

A: I have appended the formula used in the solution procedure

Q: 18) с 9 in B 51° A

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: find the standard deviation for the group of data items   stem 1 = 6,7,7,6,5,6 stem 2 = 0,3,2,0

A: The objective of this question is to calculate the standard deviation of a group of data items. The…

Q: At a 3% rate of inflation, how much will a $2.80 half gallon of ice cream cost in 47 years?

A:

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 the FOIL method to multiply the binomials. (3x+2)(5x + 1) (3x+2)(5x+1)= (Simplify your answer.)

A: We need to evaluate :

Q: Solve the mixture problem. 47) A pharmacist wants to mix a 21% saline solution with a 31% saline…

A: we need to find out the amount of each saline that is mixed to produce the new mixture.

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

A: