The left hand side expression of the given equation is a difference of two squares. The first term, x², is a square of x and the second term, 25 is the square of 5. The factors of the expression are (x - 5) and (x + 5).
(x - 5)(x + 5) = 0
The values of x from the equation above are x = -5 and x = 5.
Answer:
$-1465.5
Step-by-step explanation:
Complete question
Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$2,931 from payments made on her car loan. Describe the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.
Given the following
Savings balance (after 1 year) =
−$2,931
If she pays the same amount on her car loan each month, we are to find the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan, this can be expressed as;
$x = 6months savings
Solving both equalities
Savings balance (after 1 year) =
−$2,931
Since 1year = 12months
-$2,931 =12months savings
$x = 6months savings
To get the total savings after 6months we will find x by cross multiplying;
12×x = -2931×6
Divide through by 12
12x/12 = (-2931×6)/12
x = -2931/2
x = -1465.5
Hence Ms. Thomas' savings account balance after making six monthly payments on her car loan is $-1465.5
4x + 2y = 5y + 7
4x - 3y = 7
4x - 3y = 7
8x + 3y = 41
----------------add
12x = 48
x = 48/12
x = 4
8x + 3y = 41
8(4) + 3y = 41
32 + 3y = 41
3y = 41 - 32
3y = 9
y = 9/3
y = 3
solution is (4,3)
1 over 5a to the 2nd power
