Given the equation x + 2y = 0, which equation will form a system of linear equations without a solution?

vredina [299]

Answer:

$\large\boxed{\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)}$

Step-by-step explanation:

$\dfrac{dy}{dx}=(2x\sin(3x))'\\\\\text{use}\ \bigg(g(x)\cdot f(x)\bigg)'=g'(c)f(x)+g(x)f'(x)\\\\\text{and}\ \bigg(f(g(x))\bigg)'=f'(g(x))\cdot g'(x)\\\\\dfrac{dy}{dx}=(2x)'(\sin(3x))+(2x)(\sin(3x))'\\\\\dfrac{dy}{dx}=2\sin(3x)+(2x)(\cos(3x)\cdot(3x)')\\\\\dfrac{dy}{dx}=2\sin(3x)+2x\cos(3x)\cdot3\\\\\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)$

6 0

3 years ago

a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the

frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

Solution:

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

Find and interpret C(90)

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0

2 years ago

PLEASE HELP! I will mark as brainliest if you help me. Solve for x. −ax + 2b > 8

anyanavicka [17]

Answer:

x < ( 8 - 2b ) / -a

Step-by-step explanation:

For this problem, we simply will solve the inequality for x.

-ax + 2b > 8

-ax > 8 - 2b

x < ( 8 - 2b ) / -a

Note, the comparison is flipped since a negative multiplicand was used to isolate x.

Cheers.

4 0

3 years ago

There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?

Sloan [31]

There are 41 dogs in the shelter

8 0

3 years ago

Read 2 more answers

Find the source area of the space figure represented by the net

sergejj [24]

I assume you meant "surface area" :)

Looking at the net, it looks like if you folded it back together it would form to become a triangular prism.

To calculate the surface area of a triangular prism, you would use the formula: A = bh + 2ls + lb, where b is the base of the triangular faces, h is the height of the prism, l is the length of the prism, and s is the side length of the prism.

I attached a picture to help you see what these labels are.

Looking at the diagram you've provided, we can assume that b = 7 cm, h = 4 cm, l = 8 cm, and s = 5 cm. Substitute these into the formula.

A = bh + 2ls + lb ==> A = (7)(4) + 2(8)(5) + (8)(7)

Multiply from left to right.

28 + 80 + 56

Add.

164

The surface area of this triangular prism is A) 164 cm^2.

6 0

3 years ago