Monique sells nut mixes. She uses

Solve using the quadratic formula 2x^2+8x-5=0

Ede4ka [16]

Step-by-step explanation:

Hey there!!

Given,

${x}^{2} + 8x - 5 = 0$

Comparing it with ax^2+bx+c =0 we get,

a= 1, b= 8, c= -5.

Using formula,

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

Keep all values,

$x = \frac{ - 8 + - \sqrt{ {8}^{2} - 4 \times 1 \times ( - 5)} }{2 \times 1}$

$x = \frac{ - 8 + - \sqrt{64 + 20} }{2}$

$x = \frac{ - 8 + - \sqrt{84} }{2}$

$x = \frac{ - 8 + - 2 \sqrt{21} }{2}$

Taking negative,

$x = \frac{ - 8 - 2 \sqrt{21} }{2}$

$x = \frac{ - 2(4 + \sqrt{21}) }{2}$

$x = 4 + \sqrt{21}$

Similarly, taking positive,

$x = \frac{ - 8 + 2 \sqrt{21} }{2}$

$x = \frac{ - 2(4 - \sqrt{21} ) }{2}$

$x = 4 - \sqrt{21}$

Therefore, x= (4 + root 21, 4 - root 21).

Hope it helps.....

3 0

3 years ago

a cell phone plan offers 250 minutes each month for 15.00 dollars per month. what is the cost per minute when a person uses all

Nezavi [6.7K]

It costs 0.06 cents each minute.

Explanation : $15/250 minutes = $0.06

4 0

4 years ago

Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.

kenny6666 [7]

$\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }$

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ:</h3>

Here, we area provided a cone with:

Radius = 48m
Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

<h3>Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:</h3>

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

$\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }$

Therefore, Volume:

$\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }$

$\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }$

$\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}$

$\implies\quad \tt {V =3.14\times 768\times 68 }$

$\implies\quad \tt {V = 163,983.36}$

$\implies\quad \tt { V = 163,983.36 \times (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}$

$\implies\quad \tt {V = 163,983.36\times 35.30 }$

$\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}$

‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given cone is 5,790,806.5 ft³.

3 0

2 years ago

If you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax and you should tip the waiter 15%. How mu

zhuklara [117]

Answer:

$29.67

Step-by-step explanation:

first you would fin out how much the total would be with the sales tax( which is equal to $4.89) added to the initial cost which should add up to $77.39

the 15% tip would add $11.61 to the $77.39

divide 89 by 3 which should give you 29.67

6 0

3 years ago

Read 2 more answers

Find the distance traveled in 15 seconds by an object moving with a velocity of v(t)=20 + 7cost feet per second

AURORKA [14]

replace 15 for t in the equation

V915) = 20 + 7 cos(15) = 26.76148078 feet per second

26.76148078 x 15 = 401.4222118 feet

round off to 401.42 feet

3 0

4 years ago

Read 2 more answers