Why is 3÷0.5 is 6, why is it?
1 answer:
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Answer:
The graphs are posted.
Step-by-step explanation:
the method to solve such inequalities is assume the line and then draw the line then search for the inequality
The y < 0.5x-3
First plot the line y=0.5x-3
Now all the values of y which are below the line satisfies the inequality.
similarly for the second question x+y ≥ 5.
Now assume the line x+y=5
All the values of (x , y) above the line satisfies the equation including the points on the line .
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:
Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:
Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:
Substitute:
Solve for <em>k</em>. Simplify:
Solve:
Thus, our answer is indeed A.