Answer:
the intercepts are (-10,3)
answer;
x=0
Step-by-step explanation:
4 + 2 (x + 3x) = 4 - x(2-3) + 2x
let remove d brackets
4 + 2x + 6x = 4 - 2x + 3x + 2x
llet collect like terms
2x + 6x - 3x -2x + 2x = 4-4
5x = 0
x = 0
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
Answer:
Step-by-step explanation:
theres 2 possible solutions for each equation and each one is right
or for dummies, just reverse the +/- inside the l x +/- y l. and make 2 different equations the first with a + and the second with a -
1. lb-6l = 1
b - 6 = 1
b = 7
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b + 6 = 1
b = -5
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2. lb+2l=7
b + 2 = 7
b = 5
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b - 2 = 7
b = 9
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Answer:
The percentage of people who are satisfied with this car model is 30%.
Step-by-step explanation:
Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :
1,900 = 100
570 = X
((570 x 100) / 1,900) = X
57,000 / 1,900 = X
30 = X
Therefore, the percentage of people who are satisfied with this car model is 30%.