Answer: (-infinity,10]
Step-by-step explanation: 50n is less than or equal to 500. So, treat the less than or equal to sign as an equal sign. Then do like regular and divide 500 by 50 to get ten on the right while N stays on the left. To get n is greater than or equal to 10!
<span> <span> b< 4 or 4b>-8
b>-2
Final answer:
b<4 or b>-2 </span></span>
L=legnth
w=width
a=area
legnth is 3 more than twice its width
l = 3 + 2 times w
l=3+2w
a=65
a=l times w
subsitute
65=lw
l=3+2w
subsitute
65=(3+2w)(w)
65=3w+2w^2
subtract 65 from both sides
0=2w^2+3w-65
if we can factor then we can do
if zy=0 then assume z and/or y=0 so
to factor in ax^2+bx+c form when a is greater than 1,
aw^2+bw+c
2=a
3=b
-65=c
to factor first find
a times c=z
b=t+y
t times y=z
so
a times c=2 times -65=-130
b=3
factor -130
-130=
-1,130
-2,65
-5,26
-10,13
now add them together and see which ones make 3 or -3 (b)
-1+130=129
-2+65=63
-5+26=21
-10+13=3 match
seperate the middle number like that
3w=-10w+13w
so
2w^2-10w+13w-65=0
group
(2w^2-10w)+(13w-65)=0
factor
(2w)(w-5)+(13)(w-5)=0
reverse distribute ab+ac=a(b+c)
(2w+13)(w-5)=0
set each to zero
2w+13=0
w-5=0
solve
2w+13=0
subtract 13
2w=-13
divide 2
w=-6 and 1/2
impossible since width cannot be negative discard
w-5=0
add 5 to both sides
w=5
subsitute
65=wl
65=5l
divide 5
13=l
width=5 feet
legnth=13 feet
The first week, Sara spent a total of $47.49, with a mean of 9.5.
The second week, Sara spent $51.49 with a mean of 10.3.
The increase in mean from the first week to the second is 0.8
Hope this helps!