Answer:
vertex: (-1,25)
aos; -1
left x int: -6
right x int: 4
(not sure)
range is less than of equal to 25
45 new houses.....last month 1/3 were sold....
1/3(45) = 45/3 = 15 houses sold last month
this month, 1/5 of the remaining houses were sold...
remaining houses left are (45 - 15) = 30
1/5(30) = 30/5 = 6 houses sold this month
houses left : 45 - 15 - 6 = 45 - 21 = 24 houses remain <==
Answer:
The missing terms are 768, 192, 48.
Step-by-step explanation:
From the given geometric sequence
First term= a_1=3072
Fifth Term= a_5=12
The general form of a geometric sequence is:
a_n=ar^(n-1)
here a_nis the nth term, a is the first term and r is the common ratio.
We will use the general form for term 5 to calculate the value of r.
So the general form for term 5 will be
a_5=3072* r^(5-1)
Putting the value of a_5
12=3072* r^4
r^4= 12/3072
r^4= 1/256
r^4= 1/[(4)^4]
Solving for r
r= 1/4
Now
a_2= ar^(2-1)
a_2=3072*r
a_2=3072* 1/4
a_2=768
a_3= ar^(3-1)
a_3=3072*r^2
a_3=3072*(1/4)^2
a_3=3072* 1/16
a_3=192
a_4= ar^(4-1)
a_4=3072*r^3
a_4=3072*(1/4)^3
a_4=3072* 1/64
a_4=48
Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units
<h3><u>Question:</u></h3>
After the orchestra completed its program, there was a party to allow the patrons to mingle with the musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?
<h3><u>Answer:</u></h3>
The total bill for catering the party is $ 8689.86
<h3><u>Solution:</u></h3>
Kayla’s Catering provided the food, drinks, and service for the party
Total number of guests = 207
Charge for food for 1 guest = $ 27
Charge for drink for 1 guest = $ 10
Charge for service for 1 guest = $ 4.98
<em><u>To find: Kayla total bill for cater</u></em>
Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)

Thus total bill for catering the party is $ 8689.86