Answer: (13, -8)
Step-by-step explanation:
Subtract 5 from -3
Add 5 to 8
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Subtract all the numbers from 360 and there you go!
I believe it should be B.156 square feet because in order to find the area of a square, you gotta multiply 13ft and 12ft. Once that is solved your answer should be 156.
Answer: 97% growth rate.
Step-by-step explanation:
Hi, to answer this question we have to analyze exponential function:
A = P (1 + r) t
Where:
p = initial value
r = growth or decay rate (decimal form)
t= number of time intervals
A = value after t intervals
Replacing with the values given:
y=3400(1.97)^x
Where the term 1.97 = 1 + r
Solving for r:
1.97-1 = r
0.97 =r
Since the rate is positive, it is a growth rate.
To determine the percentage we have to multiply it by 100
0.97 x 100 = 97%
Feel free to ask for more if needed or if you did not understand something.
