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aleksandr82 [10.1K]
3 years ago
12

Which statement is correct?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

We can conclude that only option B is correct.

Step-by-step explanation:

A. The equation 3(3x - 2) - 4 = 5x has a solution.

Solving it we get,

3(3x - 2) - 4 = 5x

⇒ 9x - 6 - 4 = 5x

⇒ 4x = 10

⇒ x = 2.5

B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.

Solving it we get,

4(2x - 3) - 5 = 4x

⇒ 8x - 12 - 5 = 4x

⇒ 4x = 17

⇒ x = 4.25

C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.

Solving it we get,

5(3x - 2) - 2 = 3x

⇒ 15x - 10 - 2 = 3x

⇒ 12x = 12

⇒ x = 1

D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.

Solving it we get,

6(2x - 3) - 3 = 2x

⇒ 12x - 18 - 3 = 2x

⇒ 10x = 21

⇒ x = 2.1

Therefore, we can conclude that only option B is correct. (Answer)

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240(25/100)

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Step-by-step explanation:

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Answer:

p = 19.18

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

a^2 = b^2 + c^2 - 2bcCosA

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

g^2 = s^2 + p^2 - 2spCosG

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s = 10

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The equation becomes

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p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}

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