Find the angle a between the vectors 5 2 and 2 -1 x = 48.37

Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-6 s(x)=x-4…

A: Given: Now, (s-r)(x)=s(x)-r(x)           =(x-4)-(2x-6)           =-x+2 (s.r)(x)=s(x)r(x)…

Q: Choose the correct answers given the following quadratic equation. Complete Steps 1-2 in order

A: y=x2+4x-5y=x2+5x-x-5y=x(x+5)-1(x+5)y=(x+5)(x-1)zeros:0=(x+5)(x-1)x=-5, x=1(-5, 0),(1, 0)Y-intercept:…

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

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Q: Solve the exponential equation using like bases. (Enter your answers as a comma-separated list.)…

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Q: 14. Which statement best describes the end behavior of the function f(x)=3-5x+2x²-7x³? O f(z)…

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Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: a. Sign of the leading coefficient D. Vertex C. Axis of symmetry d. Intervals where f is increasing…

A: Given query is to find the character of the function.

Q: 17x sin 6 cos(-210°) cos270° tan450° undefined a. b. 0 1 C. 73 d. -√5 2

A: I am attaching image so that you understand each and every step.

Q: The point P = (-3, y) lies on the unit circle shown below. What is the value of y in simplest form?…

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Q: An initial sample of 446 g of a radioactive substance decays according to the function…

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Q: 1. State the solution set for each system below using either the substitution or addition (by…

A: We solve the systems using elimination method.

Q: 1. If the roots of the quadratic function f(x)=x²+2x+1 are to be obtained by paper folding, exactly…

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Q: (d) T: R³ R² defined by T(1, 2, 3) = (x1 - 5x2 + 4x3, x2 - 6x3). 8. Is the transformation in 7 (d)…

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Q: Find the minimum and maximum values of the objective function, and the points at which these values…

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Q: 15. What are the x-intercepts of the equation y = x² + x - 20? O4 and -5 O 10 and -2 O-20 O-4 and 5

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Q: 5) a₁ = -8, a = -48, n = 6 A) -336 B) -1344 C) -672 D) -168

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Q: 13 Solve 2 log₂ (x + 4) - log₂ (2x + = 1 2

A: we have to solve for x.

Q: How many real roots does the quadratic equation 3x² + 2x - 9 = 0 have?

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Q: When the eigenvalues of a b *-[88] A = 0 d are ₁ = 0 and ₂ = 2, what are the possible values of a…

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Q: (1.0) Find the value of the integral defined 1 [²(t ; t ² ; e²) dt t;

A: To evaluate: ∫01t; t12;etdt

Q: Let T be a linear transformation from M2,2 into M2,23 such that -1 0 2 3 = ([:)-[-) (8))-[:) ((:…

A: Given that T be a linear transformation from M2,2 into M2,2 .

Q: × 5 matrix is given below. Find the eigenvalues and th -8 (multiplicity 1) 9 (multiplicity 1) -8…

A: We have to choose the correct option from the given options according to the given information

Q: 125. T 00 6 4 2 y = f(x) 2 46 8 a. f(4) b. f¹(0) c. f¹(6) d. (fo f¹)(4) ·00

A: Given problem:-

Q: 8. Simplify the following expression using the change-of-base formula: log27 729. ○ 2 O 01 0 3

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Q: (a) √15 +9 5 (b) 32+ - 6 (c) 4 x 21 9 11 (d) X 14 13 Result is Rational O O O O Result is Irrational…

A: (1)JustI have ueed the property of sum of two rationals is rational. (2) sum of rational and…

Q: (4) Evaluate the following 36 (b) (√900)³ -8y05 (c) 4y9t11 (d) Add 5x² - 7x + 3, -8x² +2x-6 and…

A: To find the values of the given expression in simplified form.

Q: b) log² T

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Q: Find the real solutions of the following equation. 8t+9 = -9 Select the correct choice below and, if…

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Q: Find the inverse laplace of s+5 s²+5s-14 01/e²t - e-7t 2t Oet-e-t 7 0e²+ e-t O Oe-t-et 27t 0 ²/1 e ²…

A: To evaluate the inverse Laplace transform.

Q: The logistic growth function P(x)=901+271e−0.122x models the​ percentage, P(x), of Americans who…

A: The logistic growth function, Px=901+271e-0.122x models the percentage, P(x) of Americans who are x…

Q: For the equations below, q is the total number of units produced per day by m employees of a…

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Q: Joyce can plant a garden in 120 minutes, and Jim can do the same job in 80 minutes. How long will it…

A: We have to find time in which both will work together.

Q: if 6 seamstresses can sew 15 skirts in 16 hours, how many skirts can 4 seamstresses sew in 8 hours

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Q: Let f(x) = x²+x+ 2 = Z₂ (x) prove that f(x) irreduciable Poly

A: The given function is  f(x)=x2+x+2.

Q: 10. DETAILS HARMATHAP12 0.5.073. MY NOTES ASK YOUR TEACHER Suppose that you have $3000 to invest,…

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Q: Solve the following system of equations 10x^2+7x-y=15 7x^2-2x-y=3

A: The given system of equation is: 10x2+7x-y=15...(1)7x2-2x-y=3...(2)

Q: You have answered 1 out of 2 parts correctly. Determine all minors and cofactors of 45 -45 90 M C =…

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Q: The exponential model A=421.4e0.032t describes the​ population, A, of a country in​ millions, t…

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Q: 3 an eigenvector of -4 F 2 19. Is ·- 9] -5 1? If so, find the eigenvalue. 4

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Q: (3) Use any two points from the table to find the slope of the line connecting the points in the…

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Q: 14. The property tax on a $31,000 car is $1767. At this rate, what is the property tax on a car…

A: topic - rate and percentage

Q: [ 2 3 13 13 14 2 3 13 R₁ R₂ 1 3 14 R₂R₂ Given the matrix perform the indicated row operations.…

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Q: a. Sign of the leading coefficient b. Vertex c. Axis of symmetry d. Intervals where f is increasing…

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Q: Find the inverse of the following one-to-one function, f(x) = 6√x+7-9 for x ≥ -7 Of-¹(x) = (23)²-7…

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Q: Find all real sixth roots of 64. If there are multiple answers, separate them with commas. Write…

A: Given problem:- Find all real sixth roots of 64.

Q: Graph the solution of the system of inequalities -8 x+2y ≥ 4 3x-2y4 -6 x ≥ −2 y 4 -4 * -2 81 6 2 -2…

A: The solution of the system of inequalities  is the intersection region of the solution of the all…

Q: Writing logu- log av+2 logaw as a single logarithm results in which of the following expressions?…

A: We can simplify the logarithmic expression as below.

Q: Evaluate 5 Ps

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Q: 3. a) Solve the following using Gauss elimination: x₁ + x₂ + x3 = 2 2x₁ + 3x₂ + 4x3 = 3 X₁ - 2x₂x3 =…

A: Answer is in below steps.

Q: 口 U 16. Choose the correct answer. Solve by completing the square. Check all that apply. x² + 2x=3…

A: x2+2x=3Adding 1 on both sidesx2+2x+1=3+1