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
The answer is a hexagon
Hope this helped
Answer:
20 mm
Step-by-step explanation:
If it si proportional
y/x=k or y=kx
if k is same throuout, then it is proportional
find their ratio
so
0/0=undefined, ignore
2/3=k
4/6=2/3=k
6/9=2/3=k
yes, proportional
y=kx
3=2k
1=2/3k
2/3 is answer
proprtional (2nd and 3rd)
graph is proprtional, first table is poroprtional
other ones are not
2nd picture is proportional, 3rd is not
(x,y), y is rise, x is run
unit rate is rise/run=15/6=5/2=2.5
unit rate is 2.5
unit rate is (1/2)/(2/5)=(1/2)(5/2)=5/4=1.25
unit rate is 1.25
Answer:
Hence dimension on drawing= 12 in by 6.4 in
Step-by-step explanation:
Actual dimension of the soccer field is 120 ft by 64 ft
Scale during drawing = 1in to 10 ft
Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in
