4x^2+6x=12
16x+6x=12
22x=12
x=12/22 or 0.55
The decimal is rounded to the nearest hundreth
-5/8 divided by -3/4 is the same as -5/8 multiplied by -4/3. Multiply the tops to get 20. Multiply the bottoms to get 24. A negative over a negative is positive and you end up with 20/24! :)
Answer:
point A coordinates are (-2,-6)
Step-by-step explanation:
Point A (-2,y)
point B (4,2)
x_1= -2, y_1= y_1 (unknown)
x_2= 4, y_2=2
distance=10
using the formula for distance between two points;
distance=
10=
10=
square both sides
The first term is 138
The difference is 55
The iterative rule for the amount of money Mr Speas has after n weeks is
55/2 n² + 221/2 n
During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.
The first term will be 138 .
The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…
The difference = 193 - 138 = 55.
The iterative rule for the amount of money Mr Speas has after n weeks can be represented below
n = number of weeks
a = first term = 138
d = common difference = 55
Using AP formula,
sₙ = n/2(2a + (n - 1)d)
sₙ = n/2 (2(138)+ (n - 1)55)
sₙ = n /2(276 + 55n -55)
sₙ = n /2(221 + 55n)
sₙ = 55/2 n² + 221/2 n
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