Which of the following graphs represents the function f(x) = x2 + x − 6?
2 answers:
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Answer:
On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4
Step-by-step explanation:
The first function is given as:
The second function is given as:
First we graph both the functions.
We can see that one curves up and to the right from quadrant 3 into quadrant 1. This curve is of
The other curve curves down from quadrant 1 into quadrant 3
Both curves interest almost at (1,1)
See the graph attached below
Blue line represents first function
Green line represents second function
The solution lies on the Red line.
The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.
Answer:
Step-by-step explanation:
Easy way to solve
5^4 = 625.
5^12=244140625.
Thus, 625m=244140625.
Divide both sides by 625/
m=390625, or 5^8.
Better way to solve
When dividing by exponents
Thus, simply do 12-4=8 to know that m=5^8.
Hope it helps <3