<span>Let x=0.8888...
x=0.8888 Start with the given equation
10x=8.8888 Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right)
Now subtract the equation x=0.8888 from 10x=8.8888 to get
10x-x=8.8888-0.8888
9x=8 Combine like terms. Notice how the decimal portions cancel out.
x=8/9 Divide both sides by 9 to isolate x
So the answer is x=8/9 which means that 8/9=0.8888 (where the 8's repeat)</span>
Answer:
12¾
Step-by-step explanation:
x - ¾ = 12
x = 12 + ¾
c = 12¾ or 12.75
The correct statement regarding the function plotted in the graph is:
C) The maximum value of the quadratic function occurs at y = 4.
<h3>What is the rate of change of the linear function?</h3>
When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:
R = [8 - (-7)]/-5 - 0 = 15/-5 = -3
<h3>What is the maximum value of the quadratic function?</h3>
It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.
More can be learned about functions at brainly.com/question/25537936
Answer:
And we can solve for 
and we got:
And we can solve for and we got:
So then the coordinates for B are (3,8)
Step-by-step explanation:
For this case we know that the midpoint for the segment AB is (2,5)
And we know that the coordinates of A are (1,2)
We know that for a given segment the formulas in order to find the midpoint are given by:
And we can solve for and we got:
And we can solve for and we got:
So then the coordinates for B are (3,8)
Answer:
17
Step-by-step explanation:
3 caterpillars double every minute (3×2=6). after 4 minutes (6×4=24). He captured 7 caterpillars within the four minutes (24-7=17).
