So your equation is y = x² - 20x + 15. what you'll want to do is complete the square, so take half of 20 and square it. 20/2 = 10. 10² = 100. add 100 to both sides. and simplify x²-20x+100+15 to (x²-10)²+15. now subtract 100 from both sides to get y alone. this leaves you with y = (x²-10)-85. that's your vertex form.
Answer:
g(x) = 2x - 3
Step-by-step explanation:
The inverse of a function is the equation where x and y have switched places. If when you solve for y again, the function passes the vertical line test, the inverse if a function.
g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to y = (x-3)/2. This is a line and is a function y = 1/2 x - 3/2.
k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to . This is a function but only for certain values of x.
f(x) = |x+2| is an absolute value function. All absolute value functions do not have inverses which are functions.
w(x) = -20 does not have an inverse which is a function.
This means A is the solution.
Answer:
Transitive property of inequality.
Step-by-step explanation:
Transitive property of inequality states that if
Now, the given conditions are x ≤ 5 and 5 ≤ y, then x ≤ y
It is same as the transitive property stated above. When we compare, we get
a = x, b = 5, c = y
Therefore, the given inequalities is transitive property of inequality.
Answer:
$160
Step-by-step explanation:
You can set up an equation that will work for any time period, but since it is only 4 months we can do this simply too:
10 x 2 = <em>20</em>
<em>20</em> x 2 = <u>40</u>
<u>40</u> x 2 = 80
80 x 2 = 160
$160
Think i got it
E= 75
F= 90
G= 25