Step-by-step explanation: The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
-3x + y = 4
Solve for y
y = 3x + 4
Plug this y value into the other equation.
-9x + 5y = -1
-9x + 5(3x + 4) = -1
Distribute 5(3x + 4)
-9x + 15x + 20 = -1
Subtract 20 from both sides
-9x + 15x + 20 - 20 = -1 - 20
-9x + 15x = -21
Combine like terms
6x = -21
Divide both sides by 6
6/6 x = -21/6
1x = -21/6
x = -7/2
x = -3.5 or -7/2
Plug this value into an equation to solve for y.
-3(-3.5) + y = 4
10.5 + y = 4
Subtract both sides by 10.5
10.5 - 10.5 + y = 4 - 10.5
y = -6.5
Check this answer by plugging the value of x into the other equation.
-9(-3.5) + 5y = -1
31.5 + 5y = -1
Subtract both sides by 31.5
31.5 - 31.5 + 5y = -1 - 31.5
5y = -32.5
Divide both sides by 5
y = -6.5 or -13/2
Therefore the solution is ( -3.5 , -6.5 )
The difference of the squares method is a short-cut method that is expressed a2 - b2 = ( a + b ) *(a-b). In this case, a2 and b2 should be perfect squares in which a and b are the square roots. In this case, 100 and 49 are perfect squares, hence the answer is C.
Answer: Graph f(x) = x2 x 6. 2. The domain of f x ex , is f f , and the range is 0,f . ... x) 0. An exponential function with a > 0 and b > 1, like the one above
Step-by-step explanation:
X1=-11/4,x2=1
hope this helps
