Question

URGENT ALGEBRA HELP! Please help me I need this to day :)

1). What is the x intercept of -1/2x-5y=-10?
A). 2
B). 20
C). 1/2
D). 5

2). Line p passes through the points (5,1) and has a slope of -4/5. What is the equation of the line p in standard form?
A). 4x+5y=29
B). 4x+5y=25
C). 5x+4y=25
D). 5x+4y=29

3). Which inequality is equivalent to 5(2x-3)-6x ≤ 30?
A). 16x-15<_30
B). 4x-15<_30
C). 4x-3<_30
D). 10x-21<_30

4). What is the domain of the function f(x)=x-3/2x-5?
A). all real # except 3
B). all real # except -5/2
C). all real # except -3
D). all real # except 5/2

5). Which expression is the simplest form of 5/√2?
A). 5√2/2
B). √7/2
C). √10/2
D). √2/5

Answer 1

1.           ⁻¹/₂x - 5y = -10
        -2(⁻¹/₂x - 5y) = -2(-10)
  -2(⁻¹/₂x) - 2(-5y) = 20
              x + 10y = 20
           x + 10(0) = 20
                 x + 0 = 20
                       x = 20
The answer is B.

2.              y - y₁ = m(x - x₁)
                  y - 1 = ⁻⁴/₅(x - 5)
                  y - 1 = ⁻⁴/₅(x) - ⁴/₅(-5)
                  y - 1 = ⁻⁴/₅x + 4
                    + 1          + 1
                       y = ⁻⁴/₅x + 5
                 -5(y) = -5(⁻⁴/₅x + 5) 
                   -5y = -5(⁻⁴/₅x) - 5(5)
                   -5y = 4x - 25
            -4x - 5y = 4x - 4x - 25
            -4x - 5y = -25
      -1(-4x - 5y) = -1(-25)
-1(-4x) - 1(-5y) = 25
            4x + 5y = 25
The answer is B.

3. 5(2x - 3) - 6x ≤ 30
5(2x) - 5(3) - 6x ≤ 30
     10x - 15 - 6x ≤ 30
     10x - 6x - 15 ≤ 30
              4x - 15 ≤ 30
                  + 15 + 15
                     4x ≤ 15
                      4      4
                       x ≤ 3³/₄
Solution Set: {x|x≤ 3³/₄}, (-∞, 3³/₄]
The answer is B.

4. $f(x) = \frac{x - 3}{2x - 5}$
    2x - 5 ≠ 0
        + 5 + 5
         2x ≠ 5
          2     2
          x ≠ 2¹/₂
(-∞. 2¹/₂) ∨ (2¹/₂, ∞)
The answer is D.

5. $\frac{5}{\sqrt{2}} = \frac{5}{\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}} = \frac{5\sqrt{2}}{\sqrt{4}} = \frac{5\sqrt{2}}{2}$
The answer is A.