Answer:
-4<_ 3
Step-by-step explanation:
Answer:
k=16
Step-by-step explanation:
Combine all the like terms
- 2k+10+5k-25+3k+35 =180
- (2k+5k+3k) + (10-25+35) = 180
- 10k + 20 = 180
Solve for k by subtracting 20 on both sides and then dividing by 10 on both sides
Answer:
309 miles per hour
Step-by-step explanation:
Divide the total distance traveled by the time. So the answer is 1236 miles divided by 4 hours, or 309 miles per hour
Answer: f(2) is 3.
Step-by-step explanation:
f(2) just means "what is the vale of the function, f, when x = 2? Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3. So f(2) = 3.
======
[One could also determine the equation for the line. Provided below.]
The slope is -(1/2) and the y-intercept is 4:
y = -(1/2)x + 4
For x=2,
y = -(1/2)*(2) + 4
y = 3
y(2) = 3
The discriminant for a quadratic polynomial gives you information about the polynomial's roots.
Given

, the discriminant is given by

.
There are three possible conclusions you can draw. If

, then the quadratic has two distinct real roots. If

, then there is one repeated real root. If

, then there are two complex (non-real) roots.
Since you found

, that means that

has two distinct real roots.