Answer:
Step-by-step explanation:
slope=(-2-2)/(-2-6)=-4/-8=1/2
eq. of line is
y-2=1/2(x-6)
2y-4=x-6
2y=x-6+4
2y=x-2
or y=1/2x-1
(2x-1)(x+4)=0
Step-by-step explanation:
A random zero property of multiplication is taken to find the solution
(2x-1)(x+4)=0
consider a=2x-1 and b=x-4 a.b=0
either a or b or both must be 0
equating both the equations
2x-1=0 or x=4=0 x-4=0
2x-1=0 x=4
2x=1
x=1/2
substitute the values of x in the main equation
[2(1/2)-1][(1/2)+4]=0
Answer: D. 40
Step-by-step explanation:
Given: Number of students liked vanilla or chocolate ice cream =
Number of students liked chocolate =
Number of students liked vanilla=
Now, Number of students liked vanilla and chocolate ice cream is given by :-

Number of students liked vanilla and chocolate ice cream= 40
Answer: the answer is : you write a compound inequality for the amount of money she would spend, subtract the money she did spend and divide by the cost of what she has yet to buy she can buy between 1-7 shirt
Step-by-step explanation:
I took quiz
Let cost of 1 box of red pen = x
Let cost of 1 box of black pen = y
Gaga bought 5 red box and her sister 4 black box then total cost is given by
5x+4y
Given that total cost was $44
so equation will be 5x+4y=44...(i)
After exchange
Gaga= 4 red box + 1 Black box
Sister = 1 red box + 3 Black box
then cost for Gaga = 4x+1y
cost for sister = 1x+3y
Given that cost for both after exchange is same so we get
4x+1y = 1x+3y
or 4x-1x = 3y-1y
or 3x = 2y
or 3x/2=y ...(ii)
plug (ii) into (i)
5x+4y=44
5x+4(3x/2)=44
5x+12x/2=44
5x+6x=44
11x=44
x=4
Now plug value of x into (ii)
y=3x/2=3*4/2=12/2=6
Hence cost of 1 box of red pen = $4
And cost of 1 box of black pen = $6
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If you want to get solution without solving both equations then just graph both equations and find the intersection point.
You will see that graph intersect at (4,6) which gives x=4, y=6