Both equations are equivalent, so there are infinitely many solutions.
Answer:
48
Step-by-step explanation:
f(x) = x³
f'(x) = 3x²
f'(-4) = 3(-4)²
f'(-4) = 48
The graph with the highest absolute value is the steepest. In this case, the answer is C.
Answer:
2 x^2 - 3 x + 6
Step-by-step explanation:
Simplify the following:
-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11
-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:
-3 x^2 - 4 x + 17 + 5 x^2 + x - 11
Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):
(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)
5 x^2 - 3 x^2 = 2 x^2:
2 x^2 + (x - 4 x) + (-11 + 17)
x - 4 x = -3 x:
2 x^2 + -3 x + (-11 + 17)
17 - 11 = 6:
Answer: 2 x^2 - 3 x + 6
Answer:
This system of equations has infinite points of intersection
Step-by-step explanation:
* To know the point of intersection of the system of equations,
you will solve the graphically or algebraically
- Graphically by drawing two lines on the coordinate plane
- Algebraically by substitution method or elimination method
* Lets use the substitution method
∵ y = 4 - x
∵ 2y = 8 - 2x
- Substitute y in the second equation by its value in the
first equation
∴ 2(4 - x) = 8 - 2x ⇒ open the bracket
∴ 8 - 2x = 8 - 2x
* The two sides equal each other, that means we can use any
vales of x, and on the graph they will be the same line for
the two equations
∴ This system of equations has infinite points of intersection
