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Murljashka [212]
3 years ago
12

Which of the following methods would be the easiest to use to solve 12x2 – 48 = 0?

Mathematics
2 answers:
Katarina [22]3 years ago
7 0

\bf \stackrel{\textit{solving for \underline{x}}}{12x^2-48=0\implies 12x^2=48\implies x^2=\cfrac{48}{12}\implies x^2=4} \\\\\\ x=\pm\sqrt{4}\implies x=\pm 2

aksik [14]3 years ago
5 0

All three methods are easy and effective. Here's solving the equation using all three methods.

First Option:

12x^2-48=0\\ 12x^2=48\\ x^2=4\\ x=+/-\sqrt{4} \\ x=2,-2

Third Option (Remember that the equation for the quadratic formula is x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant):

x=\frac{-0+\sqrt{0^2-4*12*(-48)}}{2*12},\frac{-0-\sqrt{0^2-4*12*(-48)}}{2*12}\\\\ x=\frac{-0+\sqrt{2304}}{24},\frac{-0-\sqrt{2304}}{24}\\ \\ x=\frac{48}{24},\frac{-48}{24}\\\\ x=2,-2

Fourth Option:

12x^2-48=0\\12(x^2-4)=0 \\ 12(x+2)(x-2)=0\\ \\ x+2=0\\ x=-2\\ \\ x-2=0\\ x=2

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Janelle has a 12-ounce can of soft drink. She drinks 3/5 of the soft drink.
guapka [62]

Answer:

Answer:  4.8 ounces

Step-by-step explanation:

In total there are 12 ounces. If she drinks 3/5 of 12 you multiply 3/5 by 12.

3/5 * 12 would be equal to 3/5 * 12/1 which is 36/5. You have found how much she has drank. 36/5 is also equal to 7.2 ounces. Subtract 7.2 form 12 and you get 4.8 ounces.

Hope this helped!

7 0
3 years ago
Read 2 more answers
The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find
Anna [14]

Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.

5 0
2 years ago
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
9966 [12]
The C of the bowl is 43.98 because C can be calculated like,  C=pi×d
And pi is about 3.14, and 3.14×14 is about 43.98
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30 points!!! Help me on 1. 2. 3.
BaLLatris [955]
I think 1 is to press C
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3 years ago
WILL GIVE BRAINLIEST
prisoha [69]

Answer:

(c)hope

Step-by-step explanation:

2x + 44 = 72

14

hence

2x = 2*14

28

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3 years ago
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