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3 years ago

13. How many solutions does this equation have: 8d-10=4(2d-6)?

1 answer:

6 0

13. 8d - 10 = 4(2d - 6)
8d - 10 = 8d - 12
8d - 8d = -12 + 10
0 = -2......incorrect....NO SOLUTIONS

14. 3.50c > = 500
c > = 500/3.50
c > = 142.857....she can sell (minimum) of 143

15. 14c - 10 = 20
14c = 20 + 10
14c = 30
c = 30/14 reduces to 15/7 (or 2 1/7)

16. c = 1.50g + 3

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EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

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3 years ago

What are the botanical names of all flowers in the world

taurus [48]

Answer: Common Name Scientific Name

Lilac More about Lilac... Syringa

Lily Lilium

Lotus Flower More about Lotus Flower... Nelumbo

Marigold More about Marigold... Tagetes

Step-by-step explanation:

1) Carnations. These ruffly flowers are perfect for the romantic on a budget. ...

2) Irises. Purple is the color of royalty, so it's no wonder that these flowers stand for faith and hope. ...

3) Lavender. This sweet-smelling flower is given to others as a sign of devotion. ...

4) Roses. ...

5) Tulips. ...

6) Sunflowers. ...

7) Gardenias. ...

8) Orchids.

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2 years ago

Read 2 more answers

Write the additive inverse of *<br> 1 point

Shkiper50 [21]

The additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number),[1] sign change, and negation.[2] For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself.

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2 years ago

Graph of a line containing the following points: (–1, 5) and (1, –3). Which is the equation of the given line in slope-intercept

cupoosta [38]

The slope intercept form looks like this y=mx+b
m=slope
b=y-intercept
Hope this helps.

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2 years ago

Write an explicit formula for an, the nth term of the sequence 11,2,-7

abruzzese [7]

Answer:

$a_{n}$ = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

$a_{n}$ = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

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2 years ago