You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6
Answer:
12 p - 8 p, 4p ( 3 - 2)
Step-by-step explanation:
p = equal the number of ounces of pasta salad in one container
then 12 × p = 12 p in 12 containers
the students finished the pasta salad in 8 containers which equals = 8 p
the number of ounces of pasta left = 12 p - 8 p
b) using the distributive property for example a ( b + c) = ( a×b) + (a ×c)
12 p - 8 p = 4p ( 3 - 2)
Answer:
4.8
Step-by-step explanation:
2 ÷ 5/12 = 4.8
Make sure to use a calculator or solve on a piece of paper. :)
F(x)=x+c, where c is an arbitrary constant.
if c is positive then translation above
if c is negative then translation down
reflection of f(x)=x^2 across x-axis then
f(x)=-x^2
