9514 1404 393
Answer:
9. ±1, ±2, ±3, ±6
11. ±1, ±2, ±3, ±4, ±6, ±12
Step-by-step explanation:
The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.
Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.
__
9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...
±{1, 2, 3, 6}
__
11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...
±{1, 2, 3, 4, 6, 12}
_____
A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)
Answer:363
Step-by-step explanation:
We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)
The sequence actually is 3^5,3^4.,3^3.....
Therefore first 5 terms are 1) 3^5 I.e. 243
2) 3^4 I.e. 81
3) 3^3 I.e. 27
4)) 3^2 I.e. 9
5) 3^1 I.e. 3
Adding all those no. we get partial sum of first 5 no. of the sequence
So, 243 + 81 + 27 + 9 + 3
= 363
Hope it helps!!!
The general equation for any circle with its center at point (a, b) is
(x - a)² + (y - b)² = (radius)²
So the circle in the question is centered at (-3, -4), and its radius is 3 .
Answer:
3 million barrels
Step-by-step explanation:
Total crude oil=60 million barrels
gasoline 34% diesel 29% total crude oil -60 million barrel · =0.34 times 60
Diesel=20,400,000 and gasoline=17,400,000
Quantity of gasoline = 34% of total crude oil
=0.34 times 60 =20.4
Quantity of diesel = 29% of total crude oil
=0.29 times 60 { million barrels}
Clearly, Quantity of gasoline is more than Quantity of diesel
difference = Quantity of gasoline-Quantity of diesel
20.4 -17.4 milion barrels
Therefore,
The production of gasoline is 3 million barrels more than diesel last year.
