There are 40 houses in the neighborhood around CMS that have internet service

Let T:R²->R² be a linear transformation ,and assume that T (1,2)=(-1,1) and T(1,-1)=(2,3)

zavuch27 [327]

Answer:

(-4,-1)

Step-by-step explanation:

We are given T(1,2)=(-1,1) and T(1,-1)=(2,3) and T is a linear transformation.

This implies for scalars a and b that

T(a(1,2)+b(-1,1))=aT(1,2)+bT(-1,1)

T((a,2a)+(-b,b))=a(-1,1)+b(2,3)

T((a-b,2a+b))=(-a,a)+(2b,3b)

T((a-b,2a+b))=(-a+2b,a+3b)

This means we should be able to solve the system below to find a and b for T(3,3):

a-b=3 and 2a+b=3

Add equations to eliminate b and solve for a:

3a=6

Divide 3 on both sides:

a=2

If a-b=3 and a=2, then b=-1.

Plug in a=2, b=-1:

T((a-b,2a+b))=(-a+2b,a+3b)

T((2--1,2×2+-1)=(-2+2×-1,2+3×-1)

T(3,3)=(-4,-1).

4 0

3 years ago

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach h

Lyrx [107]

20 weeks long all you have to do is to 180\9

3 0

3 years ago

Create a budget that will allow you to save at least $100 by the end of October.

insens350 [35]

According to the updated budget, the net income should be at least $2100.

A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.

The following list explains why the figures shown above are accurate:

The factors for the costs in the previous budget are;

Net income =$1,850.00

Cost of rent =$600

Gas, vehicle payment, and insurance together = $475.

Cost of phone, online world, and utility companies = $230.

Cost of grocery stores= $300

Cost of amusement= $50

Cost of homeowners insurance = $20.

$75 has been set aside for recreational expenditures.

Net monthly savings = $100.

Modifications to the spending plan:

$50 is the allotted sum for a computer system.

Monthly net savings = $300

∴Savings increases= $300-$100=$200

Previous net income+ cost of computer system+ 200(extra savings than previous)

= $(1850+50+200)

=$2100

So,Net earnings = $2,100

Learn more about the budget plan:

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3 0

2 years ago

Find the solution to the system of equations.

Anna [14]

No solution it’s infinite

5 0

3 years ago

On a coordinate grid, Ming's house is located 2 blocks to the right and blocks up from (0. 0). Joe's house is located 3 blocks t

kolbaska11 [484]

If on a coordinate grid, Ming's house is located 2 blocks to the right and (I suppose also 2) blocks up from (0. 0), then the ordered pair that describes the location of Ming's house is (2,2) (moving right 2 units from some point you have to add 2 units to the x-coordinate of the point from which you are moving and moving up 2 units from this point you have to add 2 units to y-coordinate of the point from which you are moving up).

If Joe's house is located 3 blocks to the right and 2 blocks down from Ming's house, then the ordered pair that describes the location of Ming's house is (2+3,2-2), that is (5,0) (moving right 3 units from some point you have to add 3 units to the x-coordinate of the point from which you are moving and moving down 2 units from the point you have to substract 2 units from y-coordinate of the point from which you are moving down).

3 0

3 years ago