Hello from MrBillDoesMath!
The first choice (y = 2x) is NOT the blue line because it has twice of the slope of the line y=x. That is, for a given positive x value the graph of y= 2x appears above the black line which is not the case for the blue line shown.
The second choice (y =.001x) is a possibility but the multiplier .001 is so small I think the graph of that line would be "close" to the x-axis. I don't think it's the blue line.
y = -x. Now here we can say NO! That line goes through the origin all right but has a slope of -1 so is heading "downward" from left to right. That is not the blue line either.
Well, then, it seems that the last equation ( y = 1/2x) is the only remaining reasonable answer.
Regards, MrB.
Answer:
http://eldata2.neu.topica.vn/TXTOKT02/Giao%20trinh/03_NEU_TXTOKT02_Bai2_v1.0014109205.pdf
Step-by-step explanation:
Answer:
4x-14
Step-by-step explanation:
8x-(14+4x)
8x-14-4x
8x-4x-14
4x-14
Answer:
Zeros of the given function are x=5 and x=-1.
Step-by-step explanation:
f(x)=x^2-4x-5
f(x)=x^2+1x-5x-5
f(x)=x(x+1)-5(x+1)
f(x)=(x-5)(x+1)
To find zeros, we need to set f(x)=0
0=(x-5)(x+1)
0=(x-5) or 0=(x+1)
0=x-5 or 0=x+1
5=x or -1=x
Hence zeros of the given function are x=5 and x=-1.
We can plug some random numbers like x=0,1,2,... into given function to find few points then graph those points and join them by a curved line.
That will give the final graph as attached below:
for x=0,
f(x)=x^2-4x-5
f(0)=0^2-4(0)-5
f(0)=0-0-5
f(0)=-5
Hence first point is (0,-5)
Similarly we can find more points.
Answer:
a) 
b) She needs 5 consecutive free throws in order to raise her percent to
85 %
Step-by-step explanation:
We know that a basketball player made 12 out of 15 free throws she attempted.
We can calculate its percent of successful free throws as :

%
Now, If she wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85 % we can write :
(I)
In the equation (I) ''n'' represents the number of consecutive free throws she must have to raise the percent to 85 %.
We answer
a) 
b) Now we need to solve the equation (I) :
⇒
⇒
⇒
⇒ 
We found out that she needs 5 consecutive free throws to raise the percent of successful free throws to 85 %.
We can verify by replacing the value of ''n'' in the equation (I) ⇒
⇒
⇒