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Lerok [7]
2 years ago
15

Please help will give brainlist

Mathematics
2 answers:
SpyIntel [72]2 years ago
4 0
6(x²-4x+4-4)+1=0, 6(x-2)²-24+1=0, 6(x-2)²=23, x-2=±√(23/6), x=2±√(23/6)=2±1.95789, so x=3.95789 or 0.04211 approx. These are the zeroes.
baherus [9]2 years ago
4 0

Answer:

Option D. x=2+\sqrt{\frac{23}{6}},2-\sqrt{\frac{23}{6}}

Step-by-step explanation:

The given function is f(x) = 6x² - 24x + 1

The zeros of the given quadratic function can be calculated by quadratic formula

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

By putting values a = 6, b = -24, c = 1 in the quadratic formula

x=\frac{24\pm \sqrt{(-24))^{2}-4(6)(1)}}{2(6)}=\frac{24\pm \sqrt{576-24}}{12}=\frac{24\pm \sqrt{552}}{12}=2\pm \sqrt{\frac{552}{144}}=2\pm \sqrt{\frac{23}{6}}

x=(2+\sqrt{\frac{23}{6}}),(2-\sqrt{\frac{23}{6}})

Option D. is the correct option.

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A student makes and sells designer T-shirts to earn extra cash. The material needed to make each T-shirt costs $4.25. Currently,
natita [175]

Step-by-step explanation:

Let x be the number of designer T shirts.

To break even,

Total Cost = Total Sales

Fixed Cost + Variable Cost = Total Sales

given the promotional advertising is classified under fixed cost,

500 + 4.25x = 15x  \\ 15x = 500 + 4.25x \\ 15x - 4.25x = 500 \\ 10.75x = 500 \\ x = 500 \div 10.75 \\  = 46.5 \\  = 47 \: (round \: off \: to \: nearest \: whole \: number)

5 0
2 years ago
What is Three to the power of negative three
Rom4ik [11]

Answer:

0.04

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of
mixer [17]
The answer is 11.25 mm.

A diameter of a circle is twice of its radius: d = 2r    ⇒ r = d/2

small circle                                       large circle
radius: r1                                           radius: r2 = ?
diameter: d1 = 15 mm
⇒ r1 = d1/2 = 15/2 mm

Since t<span>he ratio of the radii of two circles is 2:3, we have:
r1 : r2 = 2 : 3
which can also be expressed as:
</span>\frac{r1}{r2}= \frac{2}{3}
<span>
We know that r1 is 7.5, so let's implement it:
</span>\frac{7.5}{r2} = \frac{2}{3}

Let's multiply both sides of the by 3r2:
3r2* \frac{7.5}{r2} =3r2* \frac{2}{3}
⇒ 3 * 7.5 = 2*r2
     22.5 = 2*r2
⇒ r2= \frac{22.5}{2} =11.25 mm

5 0
3 years ago
Read 2 more answers
Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
2 years ago
Use the substitution method to solve the system of equations. y=4x 8x+y=18
RUDIKE [14]

Answer:

x=3/2, y=6

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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