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3 years ago

F(1) = -16 f(n) = f(n-1) · (-1/2) f(3) =

Mathematics

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer:

-4

Step-by-step explanation:

Use the given value of f(1) to find f(2):

f(2) = f(1) · (-1/2) = (-16)(-1/2) = 8

Now, we can find f(3) using f(2):

f(3) = f(2) · (-1/2) = (8)(-1/2)

f(3) = -4

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Which equation is equivalent to x^2 + 36x = 88?

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Can someone show me how you get it and the answer

pochemuha

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Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

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3 0

3 years ago

A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of produc

lyudmila [28]

Answer:

0.1x+0.04y=4,000

x+y=352

Step-by-step explanation:

5 0

2 years ago

A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times a long as it is wide. Both the banner and

deff fn [24]

Answer:

The answer to your question is

a) Poster width = 3 in

lenght = 9 in

b) banner

width = 2 in

lenght = 10 in

Step-by-step explanation:

a) For the poster

width = x

lenght = 3x

Perimeter of a rectangle = 2base + 2 height

= 2(x) + 2(3x) = 24

2x + 6x = 24

8x = 24

x = 24/8

x = 3

width = 3 in

lenght = 3(3) = 9 in

b) For the banner

width = y

lenght = 5y

Perimeter of a banner = 2 base + 2 height

2 (y) + 2(5y) = 24

2y + 10y = 24

12y = 24

y = 24/12

y = 2

width = 2 in

lenght = 5(2) = 10 in

7 0

2 years ago