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Serga [27]
3 years ago
9

Which system of equation is represented​

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

D

Step-by-step explanation:

First, let us figure out what is graphed and then manipulate each answer to try to match it.

The one with a positive slope is

y\leq x-2

The one with the negative slope is

y\geq 3-2x

Now that we have our graphed system of inequalities, we can try to match them to an answer.

A. while the x-2 is the same, the other does not have an x, so it cannot match.

B. The second inequality has the wrong sign, so it is impossible for this to be our answer.

C. When each of these are solved for y, you get y\leq 2x-3\\\\y\leq 2-x. Neither of these match so this cannot be correct.

D. When the first inequality is solved you get y\geq 3-2x

When the second inequality is solved you get y\leq x-2

As both of these answers match our graphed inequalities, D is the correct answer.

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Masja [62]
The problem says that V(x) varies directly with its length. This is a proportionality problem. So, V(x) = kl. If you are given a length of 25 inches and a k (proportionality constant) of 15, you are required to find its volume V(x).  

V(x) = kl
V(x) = (15) (25 inches)
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The volume of the box is 375 cubic inches.

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8 0
3 years ago
Write the product in standard form: (x+4)(x-4)
Genrish500 [490]

Answer:

x² - 16

Step-by-step explanation:

Use the FOIL method here where

F = first

O = outer

I = inner

L = last

F = x * x = x²

O = -4 * x = -4x

I = 4 * x = 4x

L = -4 * 4 = -16

Combine the terms to get x² - 16.

8 0
3 years ago
(30x^4 - 6x^3- 25x^2- 5x - 6) /(5x - 1)
denis-greek [22]
150x^5-60x^4-119x^3+5x-6/5x-1
7 0
2 years ago
Find f(-11/5) if f(n) = 5n + 6
V125BC [204]

Answer:

f(-11/5) = -5

Step-by-step explanation:

f(n) = 5n + 6

Let x = -11/5

f(-11/5) = 5*-11/5 +6

          = -11 +6

           = -5

5 0
3 years ago
3. Theresa has 20 coins that are dimes and quarters. Together
KiRa [710]

Answer:

  • 15 dimes
  • 5 quarters

Step-by-step explanation:

Let q represent the number of quarters Theresa has. Then the value of her coins is ...

  0.25q + 0.10(20 -q) = 2.75

  0.15q = 0.75 . . . . . . . . . subtract 2.00, collect terms

  q = 0.75/0.15 = 5

Theresa has 5 quarters and 15 dimes.

3 0
3 years ago
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