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If a,b, and c are positive
a < x < b means ax < cx
If a,b , and c are negative
a < x < b means ax > cx
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∙ 14y ago
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What are quadratic equation by factoring?
ax^2 + bx + c = 0 (ax + (ac/b-c)) (x + (b-c)/a) = 0 if wrong, sorry
Write the equation of the line in the form Ax plus By equals C?
y = (c - Ax) / (B)
How can you describe the graph of the equation ax by c?
The graph of ax + by = c is a straight line going through the points (0, c/b) and (c/a, 0).
What can you say about the graph Ax plus By equals C about the graph Ax plus By equals C?
It is a straight line with gradient -A/B and intercept C/B.
What is the integral of a constant to the power of x with respect to x?
∫ ax dx = ax/ln(a) + C C is the constant of integration.
What are quadratic equation by factoring?
ax^2 + bx + c = 0 (ax + (ac/b-c)) (x + (b-c)/a) = 0 if wrong, sorry
Find the x value for point C such that AC and BC form a 23 ratio.?
It is (2*Ax + 3*Bx)/5 where Ax and Bx are the x coordinates of A and B.
What is the definition of betweenness of points?
The point B lies between points A and C is the distances AB, BC and AC are related by:AB + BC = AC.
Solve the equation ax-b equals c for x?
ax - b = c ax = b + c x = (b + c)/a
What is Ax plus bx plus c?
Ax + Bx + C is called an algebraic expression.
Ax plus b equals bx plus c then x equals?
Ax + B = Bx + C Ax - Bx = (C - B) x (A - B) = (C - B) x = (C - B) / (A - B)
What is the standard form equation?
Linear it is Ax + By = C This can be algebraically rearranged to :- By = -Ax + C or y = (-A/B)x + C/B or Ax + By + C = 0 Other conic forms are Parabola Ax^2 + Bx + C = 0 Circle Ax^2 + By^2 + 2Ax + 2By + C = 0 Ellipse x^2 /a^2 + y^2/b^2 = 1
How do you factor ax-xb-ay plus yb?
Recall distributivity a(b + c) = ab + ac = (b + c)a and associativity (ab)c = a(bc) (a + b) + c = a + (b + c) as well as commutativity ab = ba a + b = b + a we are gonna need those. See for yourself when I applied each to learn the trick: ax - bx - ay + yb = (ax - bx) + (-ay + yb) = x(a - b) + -y(a - b) = (x - y)(a - b)
Write the equation of the line in the form Ax plus By equals C?
y = (c - Ax) / (B)
How can you describe the graph of the equation ax by c?
The graph of ax + by = c is a straight line going through the points (0, c/b) and (c/a, 0).
What does linear relationship have?
In 2-dimensions, it is a relationship between two variables of the form ax + by + c = 0
The equation AX plus BY is the general equation for a?
AX + BY is not an equation .AX + BY + C = 0is the general equation for a straight line.
