I am trying to find out if my answer's are correct. Can someone please verify.
What is the equation for the line that passes through the (-2,2) and has a slope of 5?
Answer-
Y=5x + 2
Y=5x +12
Y=5x -2
None of these ¨C I believe this is the answer
Find the value of x^3+¡¼2x¡½^2-3 when x =3.
Answer- 42
Solve 5x+3=13 for x.
Answer-2
Compare the quantity in Column A with the quantity in Column B.
Column A Column B
The solution of The solution of
2(x-3) = 6x 3x + 2 + 5x + 6
Answer-The quantity of Column B is greater
Solve for x in |x-3| >8.
Answer-
Compare the quantity in Column A with the quantity in Column B.
Column A Column B
6z-5 if z=-2 -6z ¨C 5 if z = 2
Answer-The quantities are equal
What is the equation for the line that passes through the point (5, 5) and a slope of 2?
Answer-y=2x+ 2
Evaluate ¡¼2y¡½^(2 ) (x+y) when x =8 and y+3
Answer-198
Solve 5x-4 = 41 for x.
Answer-9
What is the equation for the line that passes through the point (0, 0) and has a slope of -1/2?
Answer-y=1/2x
Which is the solution of 2x + 5 > -1?
Answer-
X > 6
X < -6
X > 2
None of these- I believe the answer is this one
1. none of the given answers is correct
2. can't make out your typing
3. 5x 3 = 13
5x = 10
x = 2
4. ??
5. |x-3| >8
x-3 > 8 or -x + 3 > 8
x > 11 or x < -5
6. ???
7. your point doesn't satisfy your equation, you should have realized that by substituting it back in.
equation is y = 2x + b
plug in the given point (5,5)
5 = 10 + b
b = -5 , so ......... y = 2x - 5can't make out your typing
8. can't make out your typing
9. your answer should be +9 , not -9
10. correct
11. 2x + 5 > -1
2x > -6
x > -3 , so none of the ones given
Find the value of x^3+¡¼2x¡½^2-3 when x =3.
I don't know how to type x to the 3rd power it keeps putting a little triangle there. How do I do this? When I type it here or in word it does the same thing. Help!
Typing here is done using the HTML codes. They are NOT the same as in Microsoft Word. If you copy and paste Microsoft Word documents, be sure that symbols show up correctly before and after you have sent your post.
x^3 means x to the third power, or you can type it as x³, or :
x & s u p 3 ;
but without the spaces between the characters.
What we do not understand are:
¡¼ and ¡½, do they actually mean ( and )?
To verify your answers, we can go through each question and explain how to find the correct answer.
1) What is the equation for the line that passes through the point (-2,2) and has a slope of 5?
To find the equation, you can use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values (-2,2) and 5 into the equation gives us y - 2 = 5(x - (-2)). Simplifying this equation gives us y - 2 = 5(x + 2), which leads to y = 5x + 12. So, the correct equation is Y = 5x + 12.
2) Find the value of x^3 + 2x^2 - 3 when x = 3.
To find the value, you simply substitute x = 3 into the equation x^3 + 2x^2 - 3. Plugging in the value gives us 3^3 + 2(3^2) - 3, which simplifies to 27 + 18 - 3 = 42. So, the correct value is 42.
3) Solve 5x + 3 = 13 for x.
To solve for x, you want to isolate the variable on one side of the equation. Start by subtracting 3 from both sides: 5x + 3 - 3 = 13 - 3. This simplifies to 5x = 10. Then, divide both sides by 5: 5x/5 = 10/5. This gives us x = 2. So, the correct solution is x = 2.
4) Compare the quantity in Column A with the quantity in Column B.
Column A: The solution of 2(x-3) = 6x
Column B: 3x + 2 + 5x + 6
To compare the quantities, you need to solve the equation in Column A and simplify the equation in Column B. Solving 2(x-3) = 6x gives us 2x - 6 = 6x. Simplifying the equation in Column B gives us 8x + 8. Comparing the two, we can see that the equation in Column B is greater. So, the answer is: The quantity in Column B is greater.
5) Solve for x in |x-3| > 8.
To solve this absolute value inequality, you need to consider two cases: x - 3 > 8 and -(x-3) > 8. Solving the first case gives us x > 11, and solving the second case gives us -x + 3 > 8, which simplifies to x < -5. So, the solution is x < -5 or x > 11.
6) Compare the quantity in Column A with the quantity in Column B.
Column A: 6z - 5 if z = -2
Column B: -6z - 5 if z = 2
To compare the quantities, substitute the given values and simplify. For Column A, plugging in z = -2 gives us 6(-2) - 5 = -12 - 5 = -17. For Column B, plugging in z = 2 gives us -6(2) - 5 = -12 - 5 = -17. Both quantities are equal, so the answer is: The quantities are equal.
7) What is the equation for the line that passes through the point (5,5) and has a slope of 2?
Using the point-slope form of a line, we plug in the values (5,5) and 2 into the equation y - y1 = m(x - x1). Simplifying this equation gives us y - 5 = 2(x - 5), which leads to y - 5 = 2x - 10. This further simplifies to y = 2x - 5. So, the correct equation is y = 2x - 5.
8) Evaluate 2y^2 * (x+y) when x = 8 and y = 3.
To evaluate this expression, substitute x = 8 and y = 3 into the equation 2y^2 * (x+y). Plugging in the values gives us 2(3^2) * (8 + 3), which simplifies to 2(9) * 11 = 18 * 11 = 198. So, the correct value is 198.
9) Solve 5x - 4 = 41 for x.
To solve for x, start by adding 4 to both sides of the equation: 5x - 4 + 4 = 41 + 4. This simplifies to 5x = 45. Then, divide both sides by 5: 5x/5 = 45/5. This gives us x = 9. So, the correct solution is x = 9.
10) What is the equation for the line that passes through the point (0,0) and has a slope of -1/2?
Using the point-slope form of a line, substitute the values (0,0) and -1/2 into the equation y - y1 = m(x - x1). This gives us y - 0 = (-1/2)(x - 0), which simplifies to y = -1/2x. So, the correct equation is y = -1/2x.
11) Which is the solution of 2x + 5 > -1?
To solve this inequality, start by subtracting 5 from both sides: 2x + 5 - 5 > -1 - 5. This simplifies to 2x > -6. Then, divide both sides by 2: 2x/2 > -6/2. This gives us x > -3. So, the correct solution is x > -3.