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lorasvet [3.4K]
3 years ago
14

G(-j)=-j-3 find g( - j). Simplify your answer.

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

-4

Step-by-step explanation

g x negative Jay if you don't have a number in front of the G or J than the numbers going to be one so then you will multiply 1 by -1 which will equal negative one and then negative one minus three what to equal -4

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If the sales tax rate is 8.25% how much would pay for an item that costs $24.00?
Blizzard [7]

Answer:

$25.98

Step-by-step explanation:

8.25% of 24 = 0.0825 × 24 = 1.98

1.98 + 24 = 25.98

8 0
3 years ago
A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write
sweet-ann [11.9K]

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where  

FC=Fixed cost  = 24,000

pcost=costs  to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where  

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost.  We cover the total cost with the sales.

So,  FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

3 0
3 years ago
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x3 − 27x + 3 (a) Find the interval of increase. (E
xxTIMURxx [149]

Answer:

(-∞,-3) and (3,∞)  

Step-by-step explanation:

f(x) = x³ − 27x + 3

1. Find the critical points

(a) Calculate the first derivative of the function.

f'(x) = 3x² -27  

(b) Factor the first derivative

f'(x)= 3(x² - 9) = 3(x + 3) (x - 3)

(c) Find the zeros

3(x + 3) (x - 3) = 0

x + 3 = 0      x - 3 = 0

     x = -3          x = 3

The critical points are at <em>x = -3</em> and x = 3.

2. Find the local extrema

(a) x = -3

f(x) = x³ − 27x + 3 = (-3)³ - 27(-3) + 3 = -27 +81 + 3 = 57

(b) x = 3

f(x) = x³ − 27x + 3 = 3³ - 27(3) + 3 = 27 - 81 + 3 = -51

The local extrema are at (-3,57) and (3,-51).

3, Identify the local extrema as maxima or minima

Test the first derivative (the slope) over the intervals (-∞, -3), (-3,3), (3,∞)

f'(-4) = 3x² -27 = 3(4)² - 27  = 21

f'(0) = 3(0)² -27 = -27

f'(4) = 3(4)² - 27 = 51

The function is increasing on the intervals (-∞,-3) and (3,∞).

The graph below shows the critical points of your function.

6 0
3 years ago
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