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.
Answer:
y=4x+7
Step-by-step explanation:
You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)
11-3=8
1--1=2
8/2=4
Let's plug in a y value 3.
3=4*-1+b
b=7
Once you found b rewrite your equation in slope intercept form.
y=4x+7
You can check this equation by plugging in the unused coordinate (1,11) and find it balances.
Answer:
9-8
Step-by-step explanation:
60 divided by 7 is 8.5
<span>Total = Principal × ( 1 + Rate )^years
</span>
Total = 5,000 * (1.025)^3
Total = 5,000 *
<span>
<span>
<span>
1.076890625
</span>
</span>
</span>
<span><span><span>Total = 5,384.45
</span>
</span>
</span>
Source:
http://www.1728.org/compint.htm
