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Ad libitum [116K]
2 years ago
14

Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?

Mathematics
1 answer:
Mariulka [41]2 years ago
6 0

Answer:

\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}

Step-by-step explanation:

Quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}

x = \frac{3+-7}{4}

Hope this helps and God bless!

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Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi
m_a_m_a [10]
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide. 

 1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

 A2=LxW
 
 L=27 centimeters (The lenght of the rectangle)
 W=21 centimeters (The width of the rectangle)

 2. When you substitute the values of L and W into the formula, you obtain:

 A2=(27 cm)(21 cm)
 A2=567 cm</span>²
<span>
 3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

 A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches

 4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

 (9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
 How many of the patches can Leia cut from 33 pieces of the fabric?

 The answer is: 297 triangular patches</span>
6 0
3 years ago
The volume of a gas in cubic centimeters v,varies inversely with the pressure of the gas in liters per square centimeters,p when
scoundrel [369]

Answer:

The volume of the gas is 145.45\ cm^{3}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

Let

v------> the volume of a gas in cubic centimeters

p-----> the pressure of the gas in liters per square centimeters

so

p*v=k

we have

v=16\ cm^{3}, p=20\ l/cm^{2}

substitute and solve for k

k=16*20=320

The equation is p*v=320

<em>Find  the volume of the gas when the pressure is 2.2 L/cm2</em>

so

For p=2.2\ l/cm^{2} Find the value of v

substitute in the equation

(2.2)*v=320

v=320/2.2=145.45\ cm^{3}

8 0
3 years ago
Which statement describes the behavior of the function f (x) = 2 x Over 1 minus x squared
Nitella [24]
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3 years ago
Tell whether each statement is always (A), sometimes (S), or never (N) true.
AnnZ [28]
N an acute angle is 90 degrees or less and 90 + 90 is 180 and an obtuse angle is always more than 90 and always less than 180
7 0
3 years ago
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Mkey [24]

Answer:

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