MATH 100 Midterm: MATH 100 KSU m100x3f06

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turquoisegnu128

15 Feb 2019

School

Kansas State University

Department

Mathematics

Course

MATH 100

Professor

All

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Document Summary

November 7, 2006: rewrite the formula y. 3 x taking the logarithm of both sides (you may assume x > 0): rewrite the formula y = (1. 2)8x taking the logarithm of both sides, if log(a) = 1. 3 and log(b) = 2. 2 , what is log. 2 log(4: 4 8, solve e, solve, what is the domain of the function f x log(5 2 ) 3 x. , where t is the time in years rate of return is given by the function from the initial investment. Name: ______________________________________________: ph (potential of hydrogen) is defined as where |h +| is the concentration of h + ions in moles per liter. Battery acid has ph of around 0. 5 while stomach acid has a ph of around 1. 5. |h + log : find all real and complex solutions to is x = 3. For full credit, write your answers na x a x a. Name: ______________________________________________: find all real and complex solutions to.

Related Questions

Q18. A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 20). Find a formula for the inverse of the function described.
a. f ^-1(x) = (x - 20)/2
b. f ^-1(x) = x - 20
c. f ^-1(x) = (x/2) - 20
d. f ^-1(x) = (x/2) + 20

Q19. If f(x) = 4^x and g(x) = 12, find the point of intersection of the graphs of f and g by solving f(x) = g(x). Give an exact answer.
a. (log ₄ 12, 12)
b. (log ₄ 12, 4)
c. (log ₄ 12, 0)
d. (12, 12)

Q20. Find functions f and g so that f â g = H(x) = (5 - 2x³)².
a. f(x) = 5 - 2x³ ; g(x) = x²
b. f(x) = (5 - 2x)³ ; g(x) = x²
c. f(x) = x² ; g(x) = 5 - 2x³
d. f(x) = x³ ; g(x) = (5 - 2x)²

Q29. Solve the system of equations using Cramer's Rule if it is applicable.

a. x = 9, y = 2, z = 5; (9, 2, 5)
b. x = 8, y = 4, z = 5; (8, 4, 5)
c. x = 4, y = 5, z = 4; (4, 5, 4)
d. x = 8, y = -4, z = -5; (8, -4, -5)

Q30. Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

a. x = 2, y = 3, z = -7; (2, 3, -7)
b. x = 1, y = 3, z = -4; (1, 3, -4)
c. x = 5, y = 13/2, z = -3; (5, 13/2, -3)
d. x = 1, y = -3, z = -16; (1, -3, -16)

Q33. Write the partial fraction decomposition of the rational expression (4x³ + 4x²)/(x² + 5)².
a. (4x - 4)/(x² + 5) + (-20x + 20)/(x² + 5)²
b. (4x + 4)/(x² + 5) + (-20x - 20)/(x² + 5)²
c. (4x + 4)/(x² + 5) + (20x - 20)/(x² + 5)²
d. (4x + 4)/(x² + 5) + (20x + 20)/(x² + 5)²

Q34. Solve the linear programming problem. Minimize z = 11x + 6y + 7 subject to: x = 0, y = 0, x + y = 1.
a. minimum: 7
b. minimum: 18
c. minimum: 24
d. minimum: 13

Q35. Solve the system of equations by elimination.

a. x = 10, y = 0; (10, 0)
b. x = 10, y = 10; (10, 10)
c. x = 0, y = 10; (0, 10)
d. x = 0, y = 0; (0, 0)

Q36. Perform the row operations on the given augmented matrix.

a.
b.
c.
d.

Q37. Solve the system of equations using Cramer's Rule if it is applicable.

a. x = -4, y = 3; (-4, 3)
b. x = -3, y = -4; (-3, -4)
c. x = 4, y = 3; (4, 3)
d. x = 3, y = 4; (3, 4)

Q38. Write the partial fraction decomposition of the rational expression x/(x² - 9x + 20).
a. -4/(x - 4) + 5/(x - 5)
b. -5/(x - 4) + 4/(x - 5)
c. 4/(x - 4) + -5/(x - 5)
d. -4/(x - 4) + -5/(x - 5)

Q39. Solve the system of equations.

a. x = -4, y = 4, z = -3; (-4, 4, -3)
b. x = -3, y = 4, z = -4; (-3, 4, -4)
c. x = -4, y = -3, z = 4; (-4, -3, 4)
d. inconsistent

Q40. Find the value of the determinant.

a. 224
b. 24
c. -72
d. 72

Show transcribed image text

indigowildebeest263

(A)Section 1.2 talks about modeling with equations. Our everyday livesare filled with models and applications of mathematics. Give anexample where you had to APPLY a formula or math principles tosolve a situation in real life. Such as using a formula or workingout an equation. Describe the problem and work it out

Section 1.3 talks about modeling with quadratic equations.Create a unique, real-world word problem that models either, (1)the area of a rectangle, (2) distance, speed, & time, or (3)the path of a projectile.

Describe your problem and work out the quadratic equation youfind

EXE

(B) An equationinvolving a rational power is given. Find all solutions of theequation 1-10.

1. x^3/ 2 =27 2.x^2/3 = 4

3. x^2/5 ?16 =0 4.x^5/ 2 + 32 = 0

5.32x^5/3 +1 =0 6.64x^3/ 4 ?125 = 0

7. (x? 2)^1/5 =?2 8.(2x ?3)^2/3 = 4

9. 5(x+3)^2/3 -45=0 10.(x-3)^3/4 +1/8 = 0

(C)Section 2.4 dealswith lines and slopes. Give an example where the concept of slopeis used in real life. Describe the increase/decrease in the contextof the example and why it is important in the real world.

(D )Section 3.2 dealswith lines and slopes. Give an example where the concept of slopeis used in real life. Describe the increase/decrease in the contextof the example and why it is important in the realworld

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MATH 100 Midterm: MATH 100 KSU m100x3f06

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1. x^3/ 2 =27 2.x^2/3 = 4

3. x^2/5 ?16 =0 4.x^5/ 2 + 32 = 0