2(4.25 + 2.25) = 2(6.50) = 13...this is the cost without the tax
13 + 0.05(13) = 13 + 0.65 = 13.65 <=== total with the sales tax added
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:
27
Step-by-step explanation:
2h+11=65
2h= 65-11
2h=54
then divide both side by two to find h
Answer:
y = -1/2x + 3
Step-by-step explanation:
y = mx + b
The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3
b = 3
Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.
m = -1/2
plug these into the slope-intercept equation to find the answer
y = -1/2x + 3
