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Mila [183]
3 years ago
13

Plz help...Ross simplifies the expression as shown. Explain why Ross method works​

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0
Let me see what I can solve for you
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Use the Quadratic Formula to solve the equation 4x^2−7=4x.
tino4ka555 [31]

Answer:

\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}

Step-by-step explanation:

\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2

6 0
3 years ago
The pie chart below illustrates the future plans of 200members of St.Thomas graduating class.
ruslelena [56]

Answer:

<h2>a) approximately 133 graduates</h2><h2>b) approximately 120°</h2>

Step-by-step explanation:

a) the number of graduates planning to continue studying :

= (37 1/2% + 12 1/2% + 16 2/3%) × 200

=\frac{\left( 37\frac{1}{2} +12\frac{1}{2} +16\frac{2}{3} \right)  }{100} \times200

= (37.5 + 12.5 + 16.666666666667)×2

= 133.333333333334

…………………………………

b) the measurement of the angle representing those who plan to work :

= (360× 33 1/2)÷100

= (360× 33.333333333333)÷100

=119.999999999999

8 0
2 years ago
If 59% was 2687 what is 29% of the unmentioned number?
wariber [46]

Answer:

2687

2687×100/59=4554.2

29×4554.2/100= 2686.97 aprox. 2687

6 0
3 years ago
Find the 15th term of the arithmetic sequence 13,8,3,-2
Lunna [17]

Answer:

-57

Step-by-step explanation:

13,8,3,-2 (decreasing by 5)

13,8,3,-2,-7,-12,-17,-22,-27,-32,-37,-42,-47,-52,-57.

The 15th term is -57.

<u><em>Ace</em></u>

4 0
3 years ago
Which expression is the radical form of m to the power of -0.3333
Evgen [1.6K]

Answer:

A1/ ∛m

Step-by-step explanation:

m ^ (-1/3)

this is m to the cubed root in the denominator

1/ ∛m

8 0
3 years ago
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