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sergij07 [2.7K]

3 years ago

12

How to to this problem

1 answer:

bulgar [2K]3 years ago

7 0

Can you post a clearer picture?

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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 booster club is selling boxes of chocolates. Each box sells for $8.25 and costs $2.75 to make. Fifteen percent of the profit

Alla [95]

Answer:

Step-by-step explanation:

8.25-2.75= 5.50 is profit.

5.50*15%=0.85

0.85*300 boxes= $255.00 the booster club will receive.

5 0

2 years ago

Question in picture solve

dimulka [17.4K]

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

<em>Check:</em>

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

3 0

2 years ago

Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BX-10%7D" id="TexFormula1" title="\frac{1}{X-10}" alt="\frac{1}{X-10}

mr Goodwill [35]

In the second fraction, factorize the denominator:

$x^2-9x-10=(x-10)(x+1)$

Then we have, as long as $x\neq10$ ,

$\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}$

which you could also write as

$\dfrac{x+1}{9x}=\dfrac x{9x}+\dfrac1{9x}=\dfrac19+\dfrac1{9x}$

4 0

2 years ago

Help plzzzzzzz i really need it

Oliga [24]

Answer:

2n+2*3-6n

(-2*-3)+4n-(4n*2)

3 0

2 years ago