For
y=ax²+bx+c
the x value of the axis of symmetry is -b/(2a)
so test them
A., -b/(2a)=-(-8)/(2*-2)=8/-4=-2, yep
B. -b/(2a)=-2/(2*1/2)=-2/1=-2, yep
C. -b/(2a)=-(-16)/(2*4)=16/8=2, nope, need -2
D. -b/(2a)=-12/(2*3)=-12/6=-2, yep
answer is C
Answer:
$30
Step-by-step explanation:
She paid $24.72 for the 2 packages of chicken because $12.36×2=$24.72.
She paid $0.99 for the broccoli because $1.98×1/2=$0.99.
She paid $3.49 for the milk because one gallon of milk costs $3.49.
$24.72+$0.99+$3.49=$29.20.
$29.20+$0.80=$30.00.
She used $30.00 to pay for the items.
Answer:
1 problem every 5 minutes
Step-by-step explanation:
the way you write the unit type depends on which values are on which axis.
I divided 15 by 3 and got 5
and when dividing the time by problems solved you always get 5 for the values in the table
hope this helps chu <3
Find a common denominator first
2 24/40 - 1 15/40 = 1 9/40
it is already in simplest form so you can not reduce it
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
