Answer: x = 17.5
Step-by-step explanation:
Simplifying
8x + -30 = 110
Reorder the terms:
-30 + 8x = 110
Solving:
-30 + 8x = 110
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + 8x = 110 + 30
Combine like terms: -30 + 30 = 0
0 + 8x = 110 + 30
8x = 110 + 30
Combine like terms: 110 + 30 = 140
8x = 140
Divide each side by '8'.
x = 17.5
Simplifying
x = 17.5
First, since both of the equations are equal to y you can set the equations equal to each other.
y=-2x +1
y=-2x^2 + 3x +1
-2x + 1= -2x^2 + 3x + 1
Second, add 2x^2 and subtract 3x and 1 from both sides.
-2x + 1 = -2x^2 + 3x + 1
-3x -1 +2x^2 +2x^2 -3x -1
________________
2x^2 - 5x = 0
Third, factor out an x.
x(2x - 5) = 0
Fourth, solve for x by setting each factor equal to 0.
x= 0 2x-5=0
+5 +5
_______
2x = 5
---- ----
2 2
________
x=5/2
So the values of x that satisfy the system of equations is 0 and 5/2.
Answer:
yes he is correct because if you where to graph B it would have a greater slope
Step-by-step explanation:
Answer:
C. Yes, because A does not have a pivot position in every row.
Step-by-step explanation:
The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.
