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PilotLPTM [1.2K]
3 years ago
7

3/4x + 2 = 3/8x - 4 X= Please show how u got ur answer

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Answer:

Hope it helps u

Step-by-step explanation:

3/4x + 2 = 3/8x - 4

subtract 2 from both sides we get

(3/4)x=(3/8)x-6

subtract (3/8)x from both sides, we get

(3/4)x-(3/8)x= -6

now taking L.C.M we get

((6-3)/8)x= -6

(3/8)x= -6

x= -6*8/3

<h2>x= -16</h2>
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Consider the function f(x)=-3x^2 +7x -k. [3 Marks] a) For what values of k will the function have no zeros? b) For what values o
Anna35 [415]

Answer: a) k >4.08

b) k = 4.08

c) k<4.08

Step-by-step explanation:

Since we have given that

f(x)=-3x^2+7x-k

a) For what values of k will the function have no zeros?

It mean it has no real zeroes i.e. Discriminant < 0

As we know that

D=b^2-4ac

Here, a =-3

b = 7

c = -k

So, it becomes,

D

b) For what values of k will the function have one zero?

It means it has one real root i.e equal roots.

So, in this case, D = 0

So, it becomes,

D=b^2-4ac=0\\\\D=7^2-4\times -3\times -k=0\\\\49-12k=0\\\\49=12k\\\\k=\dfrac{49}{12}\\\\k=4.08

c) For what values of k will the function have two zeros?

It means it has two real roots.

In this case, D>0

So, it becomes,

D=7^2-4\times -3\times -k>0\\\\49-12k>0\\\\-12k>-49\\\\12k

Hence, a) k >4.08

b) k = 4.08

c) k<4.08

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3 years ago
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