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Ronch [10]
3 years ago
13

-4k + 2(5k − 6) = −3k – 48

Mathematics
2 answers:
aev [14]3 years ago
8 0
So to answer your question i’m gonna have to say that the answer is 69.
nalin [4]3 years ago
5 0

Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer
Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

0=(3x+2)(x-4)

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply (3x+2)(x-4) i.e. 3x^2-12x+2x-8 = 3x^2-10x-8

So, the equation becomes:

0=3x^2-10x-8

Comparing this equation to standard quadratic equation:

ax^2+bx+c=0

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}

The answer is same from both the approaches.

So, the correct answer is:

C) Both

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The answers are B & C.

First thing to d o is convert Radians to Degrees. 1 radians = 180/pi . So, 3.5 radians times 180 divided by \pi = 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.

Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.

1 degree = 60 mins
1 minute = 60 seconds

Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
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