Answer:
Vertex: (-2, 2)
Step-by-step explanation:
The x-coordinate of the vertex would be as follows;
x = -b/2a = 8/2(-2) = -8/4 = -2
respectively the y-coordinate of the vertex would be y(-2) = -2(-2)^2 - 8(-2) - 6 = -2(4) + 16 - 6 = - 8 + 10 = 2
Your vertex would be a maximum of (-2, 2)
* I say maximum as the coefficient of x^2 is -2, and it is less than zero so the parabola opens downward
Time taken by Daniel to catch up with Frank is 4 minutes.
Step-by-step explanation:
The question is on relative speed; speed of a moving object with respect to another.
The two cars are travelling in the same direction at different speeds thus;
Relative speed = speed of Daniel - speed of Frank = 50-45= 5 mph
The time which the two meet = distance/ relative speed
Distance = 1/3 miles, which equals 0.33 miles
Time taken by Daniel to catch up with Frank is = 0.33/5 =0.066 hours = 4 minutes.
Learn More
Relative speed: brainly.com/question/10681729
Keywords: car, travelling, miles,started at the same point,catch up with
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Answer:
40.5
Step-by-step explanation:
!
Hey there!
22100 : 19.3
x : 100

Nearest whole number = 114508
Answer : Total employees = 114,508
Hope this helps. - M
Answer:
A
Step-by-step explanation:
Group the 4 terms into groups of 2 without changing their order. That looks like this:

Now within each group pull out what's common:

Now we have (x + 3) common between the 2 terms, so let's pull that out. With grouping, you know that it "works" if what's in the parenthesis are both exactly the same term. Ours are both (x + 3). What's "left over" are the things we originally pulled out, so group those together and you're done!
