Oh how I miss the days when math was as simple as 2+2=4.
Educated guess here: By putting parentheses.
Answer:
(-1, -2)
Step-by-step explanation:
4x - 7y = 10
3x + 2y = -7
The common multiple of the x coefficient is 12.
Multiple 3 to 4 to get 12; 4 to 3 to 12:
3(4x - 7y = 10)
4(3x + 2y = -7)
12x - 21y = 30
12x + 8y = -28
Subtract the two equations:
-29y = 58
y = -2
Substitute y = -2 to either 4x - 7y = 10 or 3x + 2y = -7. Typically, do the easier equation to solve:
3x + 2(-2) = -7
3x - 4 = -7
3x = -3
x = -1
The order pair solution is like a coordinate: (x, y)
You are welcome!
Kayden Kohl
9th Grade Algebra II Student
Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
Answer: 6 times 10 Superscript 11
Step-by-step explanation:
Scientific notation is in the form ;
A.0 x 
,
where :
A = any number from 1 to 9
n = integers , that is , n must be whole numbers
Following this rule , the correct answer is
6 x 
which is 6 times 10 Superscript 11
