$500 - $200 = $300 dollars left.
$300 divided by $10 = 30 weeks.
An aritmetic sequence is like this

where a1=first term and d=common difference
geometric is

where a1=first term and r=common ratio
can it be both aritmetic and geometric
hmm, that means that the starting terms should be the same
therfor we need to solve

what values of d and r make all natural numbers of n true?
are there values that make all natural numbers for n true?
when n=1, then d(1-1)=0 and r^(1-1)=1, so already they are not equal
the answer is no, a sequence cannot be both aritmetic and geometric
this is a 2x2 system of equations.
Let:
-2x = 4y + 6 (1)
and
2(2y+3) = 3x - 5 (2)
Let's rewrite (1) as:
2x + 4y = -6 (1)
and (2) as:
3x - 4y = 11 (2)
Now, from (1)
Let's solve for x:
2x + 4y = -6
Subtract 4y from both sides:
2x + 4y - 4y = -6 - 4y
2x = -6 - 4y
Divide both sides by 2:
2x/2 = (-6 - 4y)/2
x = -3 - 2y (3)
Replacing (3) into (2)
3x - 4y = 11
3(-3 - 2y) - 4y = 11
Using distributive property:
-9 - 6y - 4y = 11
Add like terms:
-10y - 9 = 11
Add 9 to both sides:
-10y - 9 + 9 = 11 + 9
-10y = 20
Divide both sides by -10:
(-10y)/-10 = 20/-10
y = -2
Finally, replace the value of y into (3)
x = -3 - 2y
x = -3 - 2(-2)
x = -3 + 4
x = 1
Therefore the solution is :
x= 1 and y=-2
(x,y) = (1,-2)
Answer:
A Maximum of 60 Pieces of Fried Chicken
Step-by-step explanation:
32 pieces ÷ 25 guests = 1.28 pieces per guest.
Therefore, 1.28 pieces per guest × 45 guests = 57.6 pieces of Fried Chicken should be ordered. (60 Pieces instead, for accuracy)
Answer:
1.) 5
2.) 14
Step-by-step explanation:
As given,
the expression - 3x + 2
1.)
Evaluate the expression when x is 1
⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5
2.)
Evaluate the expression when x is 4
⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14