Answer: Positive
Step-by-step explanation:
A scatter plot for speed and distance is created.
We know that distance = speed x time
Hence when speed increases , distance increases and similarly when speed decreases, distance decreases.
Thus if we plot on x axis distance, we find that x increases when y increases.
So we find that there is a strong positive relationship between the two variable
D=tS
where D= distance S=speed and T=time.
Since D varies directly as speed, we have positive relationship.
Hope this helps! :)
Answer:
z=3.3 repeating
Step-by-step explanation:
Move all terms that don't contain z to the right side and solve.
Answer:
X intercepts are points where a function intersects or cuts through the x axis where y=0.
Step-by-step explanation:
In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.
For finding the X intercepts let f(x) = 0
therefore 0= x^2 + 4x + 3 now we solve for x
0= (x+1)(x+3)
(x+1)= 0 or (x+3)=0
therefore x=-1 or x=-3
now if you substitute these values onto the function they give f(x)= 0,
f(-1) = (-1)^2 + 4(-1) + 3 = 0
f(-3) = (-3)^2 + $(-3) + 3 =0
now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.
Hello,
number of letters:26
In each 3 first position ,we can put 26 possibilities
=>26^3
Last position: 10 posibilities
==>26^3*10 =175 760
Answer A
