Of equations to answer the questions.

Mathematics

1 answer:

iren [92.7K]2 years ago

4 0

2x + 3(8 - 3x) = 3
2x + 24 -9x = 3
-7x = -21
x = 3

y = 8 - 3x
y = 8 - 3(3)
y = 8-9
y = -1

Check the math:
2(3) + 3(-1) = 6 - 3 = 3

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What is the excluded value of x / x^2 +2x -3

Rzqust [24]

Answer:

x = - 3 and x = 1

Step-by-step explanation:

Given the rational expression

$\frac{x}{x^2+2x-3}$

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Thus x = 1 and x = - 3 are both excluded values

3 0

2 years ago

Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced te

muminat

Answer:

The answer is (Choice C) It is just right.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.

Now, to find which of the choice is correct.

So, we find first the unit rate of Peggy's iced tea bags per liter:

If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = $\frac{90}{12} =7.5\ tea\ bags.$