please help checking my answers

droptimus

New member
Joined
Aug 3, 2013
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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
 
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

You can check this yourself:

y + 4x = 2 → -4.22 + 4(1.55) = ??

x - 2y = 10 → 1.55 - 2(-4.22) = ??

In these problems, you should leave the answers as fractions.

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

again check it yourself:

y + 2x = 6 → (-2) + 2(4) = ?? & 6 + 2(0) = ??


3) Solve 2x^2 + 4x = 15 by using the quadratic formula.

x = -1 +/- 2sqr34

again check it yourself:

4) Determine whether the given pairs of lines are parallel, perpendicular, or neither.

a) y = -4x + 3 b) x - 4y = 4

My answer: Perpendicular ................................. Correct

5) Express .00024 in Sci Notation

My answer: 2.4 x 10^(-4)................................. Correct

6) Factor the following completely: 3x^3 - 18x^2 + 24x

My Answer: (3x)(x - 4)(x - 2)again check it yourself:

7) Simplify (5x^3yz^2)^2(-3x^3y^4z)

My answer: -75x^9y^6z^5................................. Correct

8) Simplify the problem below using positive exponents only.

8a^-2b^3c^4
18a^5b^-3c

My Answer: ................................. Correct
4b^6c^3
9a^7
9) Solve for all X: |2x-5| + 3 = 18again check it yourself:

My Answer: x = 10, x = -5

10) Subtract and simplify: (5x^2 - 3x + 8) - (-4x^2 - x + 10)

My Answer: 9x^2 - 2x - 2................................. Correct

11) Find the vertex of f(x) = -2x^2 - 8x + 3 algebraically.

My Answer: (-2,0)again check it yourself - by graphing

12) Multiply and simplify: (6 - 5i) (4 + 3i)

My Answer: 39 - 2i................................. Correct

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................................. Incorrect

b) (f - g)(2)

My Answer: 17................................. Correct

c) (fg)(x)

My Answer: 14z^3 - 31x^2 + 5x

d) g^-1(x)

My Answer: 1/2x + 3/2again check it yourself using f(f-1(x)) = x

Figure out the problems that you can check yourself - check those
 
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