Answer:
Step-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
__
<u>f(x) = 1/3(x +5)^2 +7</u>
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
__
<u>f(x) = -5(x -3)^2</u>
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
Answer:
2.2 grams
Step-by-step explanation:
We can use the compound decay formula shown below to solve this:
Where
F is the final amount (what we want to find)
P is the present amount (490 grams)
r is the rate of decay, in decimal (28.6% = 28.6/100 = 0.286)
t is the time in minutes (16)
Substituting, we get:
So, after 16 minutes, 2.2355 grams will be remaining.
<em>Rounded to nearest tenth of a gram (1 decimal place) = </em><em>2.2 grams remaining</em>
Answer:
u=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
11u=−22
Step 1: Divide both sides by 11.
11u
11
=
−22
11
u=−2
Answer:
u=−2
Mixed number: 9/4 = 2 1/4
