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≤ 3³/₄, (-∞, 3³/₄]
The answer is B.

4.
`f(x) = (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.
`(5)/(√(2)) = (5)/(√(2)) * (√(2))/(√(2)) = (5√(2))/(√(4)) = (5√(2))/(2)`
The answer is A.