Hi, thank you to all who helped me last time, this will be the last one i promise, next day is my finals.. Basically I don't know anyone in real life that can help me with this, so I need help checking to see if my answers are correct
PART A
1) Using a graphing utility solve the following system of linear equations. Round your answer to the nearest hundredth.
y = -4x+2
x - 2y = 10
My answer: x = 1.55 y = -4.22
2) Find the equation of the line that passes through the points (4,-2) and (0,6)
My answer: y = -2x + 6
3) Solve 2x^2 + 4x = 15 by using the quadratic formula.
x = -1 +/- 2sqr34
4) Determine whether the given pairs of lines are parallel, perpendicular, or neither.
a) y = -4x + 3 b) x - 4y = 4
My answer: Perpendicular
5) Express .00024 in Sci Notation
My answer: 2.4 x 10^-4
6) Factor the following completely: 3x^3 - 18x^2 + 24x
My Answer: (3x)(x - 4)(x - 2)
7) Simplify (5x^3yz^2)^2(-3x^3y^4z)
My answer: -75x^9y^6z^5
8) Simplify the problem below using positive exponents only.
8a^-2b^3c^4
18a^5b^-3c
My Answer:
4b^6c^3
9a^7
9) Solve for all X: |2x-5| + 3 = 18
My Answer: x = 10, x = -5
10) Subtract and simplify: (5x^2 - 3x + 8) - (-4x^2 - x + 10)
My Answer: 9x^2 - 2x - 2
11) Find the vertex of f(x) = -2x^2 - 8x + 3 algebraically.
My Answer: (-2,0)
12) Multiply and simplify: (6 - 5i) (4 + 3i)
My Answer: 39 - 2i
Part B
1) A golfer hits a nice iron shot and the ball's height above the ground is given by h(t) = -16t^2 + 80t, where t is the time in seconds since the ball was hit.
a) Evaluate h(4)
My Answer: 64
b) Explain the meaning of evaluating h(4) in the context of the problem.
My Answer: Evaluating h(4) will find the height in feet of the golf ball when it is 4 seconds after being struck by the golfer.
c) Determine the max height the golf ball reaches during the shot
My Answer: 100 feet
d) Determine the time, t, when the maximum occurs.
My Answer: 2.5 seconds
2) Given the functions f(X) = 7x^2 - 5x and g(x) = 2x - 3 determine and simplify the following:
a) (f-g)(x)
My Answer: 7x^2 - 7x - 3
b) (f - g)(2)
My Answer: 17
c) (fg)(x)
My Answer: 14z^3 - 31x^2 + 5x
d) g^-1(x)
My Answer: 1/2x + 3/2
PART A
1) Using a graphing utility solve the following system of linear equations. Round your answer to the nearest hundredth.
y = -4x+2
x - 2y = 10
My answer: x = 1.55 y = -4.22
2) Find the equation of the line that passes through the points (4,-2) and (0,6)
My answer: y = -2x + 6
3) Solve 2x^2 + 4x = 15 by using the quadratic formula.
x = -1 +/- 2sqr34
4) Determine whether the given pairs of lines are parallel, perpendicular, or neither.
a) y = -4x + 3 b) x - 4y = 4
My answer: Perpendicular
5) Express .00024 in Sci Notation
My answer: 2.4 x 10^-4
6) Factor the following completely: 3x^3 - 18x^2 + 24x
My Answer: (3x)(x - 4)(x - 2)
7) Simplify (5x^3yz^2)^2(-3x^3y^4z)
My answer: -75x^9y^6z^5
8) Simplify the problem below using positive exponents only.
8a^-2b^3c^4
18a^5b^-3c
My Answer:
4b^6c^3
9a^7
9) Solve for all X: |2x-5| + 3 = 18
My Answer: x = 10, x = -5
10) Subtract and simplify: (5x^2 - 3x + 8) - (-4x^2 - x + 10)
My Answer: 9x^2 - 2x - 2
11) Find the vertex of f(x) = -2x^2 - 8x + 3 algebraically.
My Answer: (-2,0)
12) Multiply and simplify: (6 - 5i) (4 + 3i)
My Answer: 39 - 2i
Part B
1) A golfer hits a nice iron shot and the ball's height above the ground is given by h(t) = -16t^2 + 80t, where t is the time in seconds since the ball was hit.
a) Evaluate h(4)
My Answer: 64
b) Explain the meaning of evaluating h(4) in the context of the problem.
My Answer: Evaluating h(4) will find the height in feet of the golf ball when it is 4 seconds after being struck by the golfer.
c) Determine the max height the golf ball reaches during the shot
My Answer: 100 feet
d) Determine the time, t, when the maximum occurs.
My Answer: 2.5 seconds
2) Given the functions f(X) = 7x^2 - 5x and g(x) = 2x - 3 determine and simplify the following:
a) (f-g)(x)
My Answer: 7x^2 - 7x - 3
b) (f - g)(2)
My Answer: 17
c) (fg)(x)
My Answer: 14z^3 - 31x^2 + 5x
d) g^-1(x)
My Answer: 1/2x + 3/2