Tell whether the ordered pair (−1, 4) is a solution of the system. -2x-3y=-10 -3x+y=7

MATH Intervention Math - Unit 2: Expressions, Sequences, and Logic

scZoUnD [109]

Huh this gives out no information to answer

7 0

3 years ago

Joe went on holiday to Spain.

Hunter-Best [27]

Answers:

a. £2,090
b. My answer would be less because my total in euros would be divided by a greater number when converting euros to pounds.

Work for part a:

Apartment: 560•3= 1680 euros

Car: 20.16•15= 302.4 euros

1680+302.4=1982.4

1982.4/1.12 = £x/1

1982.4 / 1.12= £1,770

£1,770 + £320 = £2,090 total

Work for part b:
Example:
(instead of 1.12 I put 2 to see what would happen with a greater number)
1982.4 / 2 = 991.2

991.2 is less than 1,770 (the answer I got with 1.12)

Let me know if you need any clarification! :)

7 0

3 years ago

A square pool has a side length of x feet.A uniform border around pool is 1 footwide.The total area of the pool and the border o

lions [1.4K]

The total area of pool and border = 361 square feet.

Length of square pool = x

Length of square pool plus border = (x + 1 +1 ) = x + 2

There is 1 foot length on each side on the x length.

The other length of the square pool and border = (x + 2)

Area = (x+2)(x+2)

   (x + 2)(x +2) = 361.    Let A = x +2

A*A = 361
    A² = 361    Take square root of both sides
   A = √361
   A = 19

A = x + 2 = 19
   x = 19 - 2
   x = 17

Area of square pool = x*x = 17*17 = 289

Area of the pool = 289 square feet.

8 0

2 years ago

9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,

labwork [276]

Answer:

The correct answer is B. $310 at $2 per kilogram

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

The correct answer is B. $310 at $2 per kilogram

7 0

2 years ago

I need how you found the answers?

lara31 [8.8K]

Answer:

2x + 6 = -18

x + 1 = -11

3x = -36

Step-by-step explanation:

First find the solution! Then you can create your own equations

2x+9=-15

2x=-24

x=-12

Thus u need solutions with:

x = -12

Knowing the equation of a line as:

y = mx + b

we can can start by making y = -12 (our solution)

mx + b = -12

Now we can pick a value for m and b by adding and miltiplying on both sides

We do this to keep both sides equal.

if we make m = 2 and b = 3:

2x + mb = -12*m + 2b

2x + 6 = -24 + 6

2x + 6 = -18

Solving this we also get x = -12, as we expect.

An alternative way to think about it is to imagine that we start with a simple equation and make it more complex. We have our solution:

x = -12 => lets add a b value!

x + b = -12 + b => Lets add a slope (m)

xm + bm = -12m + bm

Giving values for this can give you multiple equation of the same solution.

General Formula:

m(x+b) = m(y+b)

mx + bm = my + bm

8 0

3 years ago