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Shtirlitz [24]
3 years ago
11

1) How would you test whether (2, -2) is a solution of the system?

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

When you’re given two coordinates, recall that the coordinates are in the format of (x, y).

Knowing this, you know that in the coordinate (2, -2) the value of x equals 2 and the value of y equals -2.

Thus, we can put these variables into the two given equations and see if the equations hold.

-2 < -2(2) + 3

-2 < -4 + 3

-2 < -1

As you can tell, the first equation holds since -1 is bigger than -2.

Onto the second equation.

-2 ≥ 2 - 4

-2 ≥ -2

As you can tell, the second equation holds as well since -2 equals -2.

This means that yes, (2, -2) is a valid solution.

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the number of buckets of paint n needed to paint a wall varies jointly with the total area a and the thickness t of the wall, an
Nat2105 [25]
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:

n = k · (a · t) / p

where k is the proportionality constant which we do not know.

We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:

k = (n · p) / (<span>a · t)
   = (5 </span>· 2) / (100 · 3) = 0.0333

Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:

a =  (n · p) / (k<span> · t)
   = (8 </span>· 2) / (0.0333 · 6)
   = 80 ft²

Please, note that we made sure to have the exact same units of measurements than the previous case.

Therefore, the correct answer is an area of 80 ft².
4 0
3 years ago
(2x - y + 3) (2x - y - 3)using identities ​
Tems11 [23]

Step-by-step explanation:

(2x-y+3)(2x-y-3)=

4x²-2xy-6x-2xy+y²+3y+6x-3y-9=

4x²-4xy+y²-9=

(2x-y)²-9

6 0
3 years ago
Mr. Ruarks evergreen trees grow 10 inches per year. His customer would like to purchase the trees when they reach 2 meters in he
djyliett [7]
Isn't it 5?                           



I think it's 5 , I may be wrong idk.
          
5 0
4 years ago
PLEASE HELP!!
lidiya [134]
Divide f(x) over g(x). To simplify, factor everything as much as possible and cancel out any common terms. In this case "4x+3" is a common term that shows up in the numerator and denominator.

(f/g)(x) = [ f(x) ]/[ g(x) ]
(f/g)(x) = (16x + 12)/(4x + 3)
(f/g)(x) = (4(4x+3))/(4x+3)
(f/g)(x) = 4

So the answer is choice C
3 0
3 years ago
If AC=3x, AB=15, and BC=2x-1, how could we solve for x? A. Set 3x=15 B. Set 3x=2x-1 C. Set 3x+15=2x-1 D. Set 3x=15+ (2x-1) E. No
k0ka [10]
Hmm this is a very challenging question good luck finding someone who can answer it lol
5 0
4 years ago
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