Step-by-step explanation:
Answer:
f(x) = x² + 8 - 16x
= x² - 16x + 8
= (x² - 16x + 64) - 64 + 8
= (x + 8)² - 56
No, you only reverse the symbol when the divisor is negative
Step-by-step explanation:
for such regular figures the volume is always
ground area × height.
the volume of the green box (bar on a rectangle) at the bottom is therefore
16×7×3 = 336 in³
the volume of the red object on top (based on a right-angled triangle) we get
5×3/2 × 6 = 5×3×3 = 45 in³
so, the total volume is the sum of both sub-volumes :
336 + 45 = 381 in³
Answer:
8/21
Step-by-step explanation:
The total job is 1
Mike has done 1/3 and Dena has done 2/7 of the job We still need to do x of the job to complete it
1/3 + 2/7+ x = 1
We need to get a common denominator 3*7 = 21
Multiply each side by 21
21(1/3 + 2/7+ x) = 1*21
21(1/3) + 21*(2/7)+ 21x = 21
7+ 3*2 +21x =21
7+6+21x = 21
13+21x = 21
Subtract 13 from each side
13-13+21x=21-13
21x = 8
Divide each side by 21
21x/21 = 8/21
x = 8/21
We need to complete 8/21 of the job
