Answer:
one solution
(second option listed)
Step-by-step explanation:
We can that these two lines, each representing one equation/function, only meet at one specific value.
In a system of equations, we are essentially looking for a solution that works for both equations.
So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.
Because these lines only overlap at one point, this system of equations has one solution.
4x+1 = 2x+23
4x = 2x+22
2x = 22
x = 22/2 = 11
x = 11
3x-8 = 3(11)-8 = 33-8 = 25
BC=25
Step-by-step explanation:
The next step is
12 = - 2x
12 / - 2 = x
-6 = x
Answer:
$10511.075
Step-by-step explanation:
Given :
Interest rate, r =. 1.25% = 0.0125 compounded semianually
Principal = 10000
Number of years, t = 4 years
Compound interest :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
n = 2 (quarterly)
A = 10000(1 + 0.0125/2)^2*4
A = 10000(1 + 0.00625)^8
A = 10000(1.00625)^8
A = 10000 * 1.051107529
A = 10511.075
Final. Amount to. Be repaid = $8515.13
Answer:
V = 6x²(2x - 5)
Step-by-step explanation:
Factor the dimensions, that is
24x² + 6x = 6x(4x + 1) ← common factor of 6x
x² - x = x(x - 1) ← common factor of x
The product lwh can now be written
V = 
× (2x - 5) × 
Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominators
V = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form
