Algebra
What is the slope-intercept form of the equation of a line?
y = mx+b
Find the value of f(3) for the function f(x) = 2x + 1.
7
Find the value of cos(45°).
1/√2
Solve the inequality: 3x - 2 > 10
x>4
Solve the equation: 3x - 5 = 4x + 7
x=-12
Simplify the expression: (x + 2)^3 - (x + 1)^3
3x^3 + 12x^2 + 15x + 8
Find the y-intercept of the function f(x) = x^3 - 6x^2 + 9x + 2 on the interval [0, 4].
narighttriangle,oneanglemeasures x°,where sinx°=4/ 5.What is cos(90°−x°)?
4/5
Solve the inequality: 2x + 5 < 13
x<4
Solve the equation: 2(x - 4) = 10
x=9
If for x: 2x + 5 = 13
Then what is 4x8-x
64
Find the inverse function of f(x) = (3x + 1)/(x - 2).
Answer: f^(-1)(x) = (2x + 1)/(x - 3)
Given that sin(A) = 0.8 and cos(A) = 0.6, what is the value of tan(A)?
1.333
Find the values of x that satisfy the inequality |2x - 5| < 7.
x<6 ; x>-1
Solve the equation: 2x^2 + 5x - 3 = 0
x = 1 and x = -3/2.
What is the equation of the line perpendicular to y = 2x + 3 that passes through the point (4, -2)?
y= -x(1/2)
g(x)=ax^2 For the function g defined above, a is a constant, and g(4)=8. What is the value of g(−4)?
8
(400) What is the tangent of angle B in a right triangle with sides of length 7, 24, and 25?
7/24
x^2 - 5x + 6 = 0. Does this equation has two distinct roots, two equal roots or no roots?
Two
Solve the system of equations: x^2 + y^2 = 25, x + y = 7
(3, 4) and (4, 3).
Simplify the expression: (x^2 + 3x - 2)/(x + 1) - (x^2 - 2x - 3)/(x - 2)
Answer : (5x + 9)/(x^2 - x - 2)
Find the co-ordinates of the vertex of the parabola y = 2(x - 3)^2 + 4.
(3,4)
A ladder is leaning against a wall. The ladder makes an angle of 60° with the ground and reaches a height of 15 feet on the wall. How long is the ladder?
30 feet
2x + 3y = 7 and 2x + 3y = 11
How many solutions does this pair of equations have?
No (0)
Solve the quadratic equation by completing the square: x^2 + 4x - 7 = 0
(x + 2)^2 = 11 ( Equation)
x= -2 + √11 and x = -2 - √11.