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Sphinxa [80]
3 years ago
12

If 2X +1= 27,032 is true then 2x+3= ?

Mathematics
1 answer:
maxonik [38]3 years ago
6 0
2x+1=27032
2x=27031
x=13515.5

2x+3
=2(13515.5)+3
=27034
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Read 2 more answers
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.

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2 years ago
7. Eduardo has $150 in savings and makes $9.75 per hour. Jennifer has $90 in savings and earns $15.25 for each
Stells [14]

Answer:

  a) 150-90 = h(15.25 -9.75)

  b) 10.91

Step-by-step explanation:

a) Jennifer has 150 -90 = 60 less in savings than Eduardo, but she is earning 15.25 -9.75 = 5.50 more per hour. An equation she can use to figure her hours is ...

  60 = 5.50h . . . . for h hours worked.

In 'raw' form, that might be ...

  150 -90 = (15.25 -9.75)h

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b) Solving the above equation, we get ...

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3 years ago
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