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saw5 [17]
3 years ago
6

Sienna is solving the quadratic equation by completing the square.

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:  The correct option is (C) 3.

Step-by-step explanation: Given that Sienna is solving the quadratic equation by completing the square as follows:

3x2+9x-4=0\\\\\Rightarrow 3x^2+9x=4\\\\\Rightarrow a(x^2+3x)=4.

We are given to find the find the value of a.

We can see that in the second step of Sienna's solution, 3 is common in both the terms, 3x2 and 9x.

So, she took 3 out and then in the third step, the expression within the bracket remais x^2+3x.

Therefore, the complete steps are as follows:

3x2+9x-4=0\\\\\Rightarrow 3x^2+9x=4\\\\\Rightarrow 3(x^2+3x)=4.

Hence, the value of a is 3.

Thus, (C) is the correct option.

kari74 [83]3 years ago
4 0
3x^2 + 9x - 4
3x^2 + 9x = 4
3(x^2 + 3x) = 4

Therefore, a = 3
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alex41 [277]

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5 0
3 years ago
A firm producing 7 units of output has an average total cost of Rs. 150 and has to pay Rs.350 to its fixed factors of production
maria [59]

Rs 100 of the average total cost is made up of variable costs.

Step-by-step explanation:

Given:

Number of output the firm produces= 7 units

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How much of the average total cost is made up of variable costs=?

Solution:

we know that,

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150=\frac{\text{Total cost}}{7}

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5 0
3 years ago
The terms in the sequence decrease by the same amount each time:
luda_lava [24]

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3 years ago
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