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SpyIntel [72]
3 years ago
13

How many solutions does 1/4 (x-3) = 3x - 11/4 x-3

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

the answer to this question is one solution

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Paul has a life insurance policy that will pay his family $30,000 per year if he
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Answer:

29550

Step-by-step explanation:

1.5 percent of 30000 is 450, so subtract 450 from 30000

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3 years ago
A motorcycle raced around a track at a speed of 110 miles per hour.
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If it’s going 110mph, and the question if asking how many mph will it go for half an hour. Simply just take 110 divided by 2.
Which gives u 55
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3 years ago
What is the volume of the milk truck?
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Answer:

12ft is the volume of the milk truck

Step-by-step explanation:

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3 years ago
Number 10 plzz???????
WARRIOR [948]
%error=(6.5g/mol - 7g/mol)/(7g/mol) * 100= 7.14% error
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3 years ago
2x^2=9-3x <br> Find the factors
d1i1m1o1n [39]

Answer:

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

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

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

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

5 0
3 years ago
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