Answer:
The cost of large drinks are $5 and the small drinks are $3.
Explanation:
5+5+5+3+3=21
2x5=10 4x3=12 10+12=22 OR (2)5+(4)3)=22
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
The first blank is 857 and i think the second one is 8.570
Answer: sum of the first 12 terms is
158944
Step-by-step explanation:
In a geometric series, successive terms differ by a common ratio. The formula for the sum of n terms, Sn in a geometric sequence is expressed as
Sn = a(r^n - 1)/(r - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of the terms in the sequence.
From the information given, we want to determine S12, so
n = 12
a = 4
r = 10/4 = 25/10 = 2.5
S12 = 4(2.5^12 - 1)/(2.5 - 1)
S12 = 4(59605 - 1)/1.5
S12 = (4×59604)/1.5
S12 =238416/1.5 = 158944