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Nutka1998 [239]
3 years ago
11

What is the equation of the line that passes through (-2, 2) and (1,-4)?

Mathematics
1 answer:
Reil [10]3 years ago
7 0

Answer:

Equation  \ of \ the \ line =>  (y -y_{2})  =m(x -x_{2} )

slope, m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-4-2}{1--2} = \frac{-6}{3} = -2

Equation the line passing through (-2, 2) and ( 1, -4)

(y -- 4) = -2(x -1)\\\\(y +4) = -2x + 2\\\\y = -2x +2 -4 \\\\y = -2x -2

option D

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The average number of traffic tickets issued in a city on any given day
Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day  Sunday-Saturday  can be approximated by

T(x) = -6x^2 + 84x + 37

Where  x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute  x= 0

T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37

On Sunday 37 tickets were issued

Substitute  x= 1

T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115

On Monday 115 tickets were issued

Substitute  x= 2

T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181

On Tuesday 181 tickets were issued

Substitute  x= 3

T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235

On Wednesday 235 tickets were issued

Substitute  x= 4

T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277

On Thursday 277 tickets were issued

Substitute  x= 5

T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307

On Friday 307 tickets were issued

Substitute  x= 6

T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0
3 years ago
A store is having a sale where everything is discounted 30% find the discount and sales price if a customer buys an item that no
frez [133]

Answer:

£465.50

Step-by-step explanation:

\frac{30}{100} of 665\\

Divide the bottom: 665 / 100 = 66.5

66.5 x 30 = 1995

Divide by a hundred

199.5

665 - 199.5 = £465.50

7 0
3 years ago
How to write 6,532,654 in word form
Norma-Jean [14]

six million five hundred thirty-two thousand six hundred fifty-four

6 0
3 years ago
Read 2 more answers
Cindy and her two sisters have $72.75 for lunch. If they divide it equally, how much will each person get to spend?
hjlf

Answer:

24.25

Step-by-step explanation:

I divided 72.75 divided by3

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Trava [24]
1/3x - 2 = 1/4x + 11....it looks to me like one y was subbed in for another...

ur 2 equations are :
y = 1/3x - 2 and y = 1/4x + 11...but we need them in standard form...

y = 1/3x - 2
-1/3x + y = -2 ..multiply by 3
-x + 3y = -6.....or 3y - x = -6 <==

y = 1/4x + 11
-1/4x + y = 11 ...multiply by 4
-x + 4y = 44 or 4y - x = 44 <==
5 0
4 years ago
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