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3 years ago

Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?

Mathematics

1 answer:

SashulF [63]3 years ago

6 0

Answer:

It has two solutions.

Step-by-step explanation:

Let as consider the given options are

It has no solution.

It has one solution.

It has two solutions.

It has infinitely many solutions.

The given equation is

$\dfrac{3}{4z}=\dfrac{1}{4z-3}+5$

Multiply both sides by 4z(4z-3).

$3(4z-3)=4z+5(4z(4z-3))$

$12x-9=4z+80z^2-60z$

$0=-12x+9+80z^2-56z$

$0=80z^2-68z+9$

It is a quadratic equation.

Therefore, it has two solutions.

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Answer:

60 pumpkins

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3 years ago

Three hundred new ones cost $2100. what would be the cost of 120 new ones

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3 years ago

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Step-by-step explanation:

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2 years ago

Find all solutions to the equation in the interval [0, 2pi). COS X = sin 2x

Lera25 [3.4K]

Answer:

Step-by-step explanation:

cos x=sin 2x

sin 2x-cos x=0

2 sin x cos x-cos x=0

cos x(2 sin x-1)=0

either cos x=0

$x=\frac{\pi }{2},\frac{3\pi }{2}$

2 sin x-1=0

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2 years ago

What is the common point between lines y = ½ x + 4 and y = x – 4?

nirvana33 [79]

1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X

(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12

point: (16,12)

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2 years ago