Answer:
Step-by-step explanation:
The variables are defined, so we only need to express the given relations. The total of the two quantities is 14.
x + y = 14
The sum of costs is $72. Totts are $8 each, so x of them will cost 8x. Elentines are $3 each, so y of them will cost 3y.
8x +3y = 72
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Answer:
932/1000
Step-by-step explanation:
To write .932 as a fraction you have to write .932 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
.932 = .932/1 = 9.32/10 = 93.2/100 = 932/1000
And finally we have:
.932 as a fraction equals 932/1000
Answer:
A = 81.681409 (81.64 for 3.14 as pi) B = 4.65222141 (4.65458109 as 3.14 for pi) rotations
Step-by-step explanation:
To figure out how far one full rotation is (which is the circumference) you do the circumference formula: C = 2 pi r
C = 2 pi 13
C = 26pi
C = 81.681409
To figure out how many rotations C can fit into 380, divide 380 by C
380 / 81.681409 = 4.65222141
