Answer:
350% Increase
Step-by-step explanation:
If Julie creates a single bracelet for $2, then sells a single bracelet for $7, her profit increase would be 350%. Since $7 / $2 = 3.5, then 3.5 * 100 = 350%. Hope this helped!
The quadratic equation is f(x)=1/2x^2 -5
in order to find f(4) you simply insert 4 in place of C
f(4)= 1/2(4^2)-5
f(4)= 1/2 (16) -5
f(4)= 8-5
f(4)= 3
by double checking the graph you can verify the answer
Quadratic Formula:
-b +/- √b² - 4ac
x = --------------------------
2a
In your equation 3x² + 5x + 2 = 0:
a = 3
b = 5
c = 2
Now, plug in these values into the formula.
-5 +/- √5² - 4(3)(2) -5 +/- √25 - 4(6)
x = -------------------------------- ⇒ x = -----------------------------
2(3) 6
-5 +/- √25 -24 -5 +/- √1 -5 +/- 1
x = ------------------------ ⇒ x = --------------- ⇒ x = --------------
6 6 6
-5 +/- 1
Split x = ------------ into two solutions by solving it.
6
-5 + 1 -4
x = ------------ = ------
6 6
-5 - 1 -6
x = ----------- = ------ = -1
6 6
The two final solutions are x = -1 and x = -4/6
The <em><u>correct answer</u></em> is:
90° clockwise
Explanation:
Comparing the image points to the pre-image points, we can see that in every ordered pair, x and y have been switched and x has been negated. Algebraically, this means (x, y)→(y, -x).
This is the same mapping that a 90° clockwise rotation performs, so that is our answer.
