Answer:
Step-by-step explanation:
Part A:
Mark did not round to the nearest hundreds, he rounded to the nearest tens.
Option A (Incorrect):
271 and 582 are normally not rounded down, unless we are using limits coming from the left and a unique equation.
Option B (Incorrect):
271 as the same problem as option A, but 582 rounding to 600 is correct. It doesn't make sense to round both numbers differently, unless stated.
Option C (Incorrect):
271 rounding to 300 is correct, but 582 is not normally rounded down to 500 unless we are using limits coming from the left and a unique equation. Unless stated, don't round both numbers differently.
Option D (Correct):
271 rounded to 300 and 582 rounded to 600 looks correct for rounding to the hundreds.
Part B:
There are two ways to solve this question:
One way:
271 + 582 = 853
Round 853 to the nearest hundred for 900
(Note: Round 853 to the nearest tens for 850.)
Second way:
271 + 582
Round Numbers:
300 + 600
= 900
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29

Then we will multiply both sides of the equation by 2 π :
x + π ( 1 - x ) = 0
x + π - π x = 0
x ( 1 - π ) = - π / · ( - 1 )
x ( π - 1 ) = π
x = π / ( π - 1 )