(6a²b⁶)³
(6a²b⁶)(6a²b⁶)(6a²b⁶)
(6 · 6 · 6)(a² · a² · a²)(b⁶ · b⁶ · b⁶)
216a⁶b¹⁸
If k=20 minutes
Each day Sasha will exercise 2 times more. 2 times more than k is 2k.
So first week Sasha will exercise k+2k+3k+4k+5k+6k=20+40+60+80+100+120=440 minutes
The formula to show how long Sasha will exercise each day next week is:
440 + 20*x
where 440 is initial exercise time, and x is number of day in next week.
Let's rewrite the system of equations:
y = three over four times x squared minus 3
y = (3/4) x ^ 2 - 3
y = negative three over four times x squared plus 3
y = (-3/4) x ^ 2 + 3
The system of equations is:
y = (3/4) x ^ 2 - 3
y = (-3/4) x ^ 2 + 3
The solutions are:
(-2, 0)
(2, 0)
Answer:
See attached image
Answer:
x^2-6x+7
Step-by-step explanation:
You can use synthetic division since you are dividing by a linear factor with leading coefficient 1. (You can also do synthetic division when dividing by a linear factor whose leading coefficient is not 1 but it is a bit trickier.)
So since we are dividing by x-2, 2 goes on the outside.
(If we were dividing by x+2, -2 would go on the outside.)
Now the thing that goes on top inside is the dividend, the numerator which is 1x^3-8x^2+19x-14. If you were missing any terms you would have to place a zero but we aren't. All exponents between 3 and 0 (inclusive meaning to include the 3 and the constant term) on variable x is accounted for.
2| 1 -8 19 -14
| 2 -12 14
-----------------------------
1 -6 7 0
So the remainder is 0 and the quotient is x^2-6x+7.
