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Sphinxa [80]
3 years ago
9

X

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

y= x-3

Step-by-step explanation:

The points are ;(0, -3), (5,2), (7,4), (10,7).

Plot the coordinates on a graph tool to visualize the graph

Select two points to find the slope ; take point (5,2) and (10,7)

m=Δy/Δx

Δy = 7-2=5

Δx=10-5 = 5

m=5/5 =1

The equation of the graph will be;

m= Δy/Δx

1=y-4/x-7

x-7 = y-4

x-7+4=y

x-3=y

y= x-3

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Factor this expression completely, then place the factors in the proper location on the grid. 9x2 - y2
andreev551 [17]

Answer:

{ \tt{ {9x}^{2} -  {y}^{2}  }} \\  = { \tt{( {3x)}^{2} -  {y}^{2}  }} \\  = { \tt{(3x - y)(3x + y)}}

6 0
2 years ago
Can you help me please.
Kamila [148]

9514 1404 393

Answer:

  a.  (-1/2, 5)

Step-by-step explanation:

The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.

  (2y -12x) +(3y +12x) = (16) +(9)

  5y = 25 . . . . . . simplify

  y = 5 . . . . . . . . .divide by 5

This matches only answer choice A.

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<em>Check</em>

The other part of answer choice A is x = -1/2. We can test this to make sure it works:

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5 0
3 years ago
What are the dimensions of the poster at 1/2 it’s current size
Zarrin [17]
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8 0
2 years ago
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
there were n signers of the declaration of independence. the oldest was benjamin franklin, who was y years old. 7 is 10% of y. w
Zigmanuir [339]

Answer:

70

Step-by-step explanation:

In this problem 7 is 10% of Ben Franklin's age. To solve you must find what 100% percent of his age is. To do this multiply 7 by 10. You do this because 10% times 10 is equal to 100%. Therefore, his age is 70.

7 0
3 years ago
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