Answer:
21 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 3 bracelets
Using cross products
7*3 = 1x
21 = x
21 inches
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
For this, you simply plug in 0 for "x" and solve:
2(0) - 3y = 12 multiply 2x0 to get 0
0 - 3y = 12 0 - 3y is -3y
-3y = 12 Isolate your variable by diving both sides by -3
y = -4 you're left with y = -4
Answer: if x is 0, y is -4
12 not sure if it's true or not.
Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!