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:
Step-by-step explanation:
Answer:
A, 0.29
Step-by-step explanation:
Since 16 ounces cost 4.69, 1 ounce costs 4.69 divided by 16. This is roughly 0.29, which would then be A.
Answer: v <= 1
Step-by-step explanation:
When you have a variable by a number, you do the opposite of multiplying, so you divide
Since there's only 14v you divide 14 from itself leaving just the variable
14 ÷ 14 = 1
You repeat this and divide on the other side
14 ÷ 14 = 1
Since you arent dividing by a negative on both sides, the arrow stays the same
v <= 1
Hope this helps!