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2 years ago

Y + 5 = -4(x + 1) Please help and explain! Thank you :)

Mathematics

2 answers:

Karolina [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Add '-5' to each side of the equation.

5 + -5 + Y = -4 + -5 + -4x

Combine like terms: 5 + -5 = 0

0 + Y = -4 + -5 + -4x

Y = -4 + -5 + -4x

Combine like terms: -4 + -5 = -9

Y = -9 + -4x

Simplifying

Y = -9 + -4x

Y=-13x

lana [24]2 years ago

4 0

Answer:

y= -4x-9

Step-by-step explanation:

first you distribute the -4: y+5= -4x-4

then you subtract 5 from both sides to isolate the variable but keep the equation balanced: y= -4x-9

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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

$TR=(580-10x)\cdot x\\TR=580x-10x^2$

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

3 years ago

Explain why y^2 = x (X input, y output) is not a function.

sveta [45]

y^2 = x isn't a function because there is at least one value of x that produces multiple values of y. In fact, any x value greater than 0 yields two y values. If x = 0, then y = 0 is the only solution. ... Graphically, the equation fails the vertical line test, which is another way to determine that it is not a function.

7 0

3 years ago

Read 2 more answers

the volume of cube A is 216 cubic inches. the length of each edge in cube B is 2 inches longer than the length of each edge in c

Aleonysh [2.5K]

If the side lengths of B are 2x as long as the side lengths of A then the volume of B should be the volume of A^2
216^2=46,656
46,656-216=46,440

This can be more easily displayed with smaller numbers

If cube X were 2*2*2 then the volume would be 8
If cube Y were 4*4*4 then the volume would be 64
8(volume of cube X)^2=64(volume of cube Y)

7 0

3 years ago

Which area model represents 0.4 x 0.7 = 0.28?

sammy [17]

Answer:

the one with pink and white at the top, and the same one with purple and blue on the bottom

Step-by-step explanation:

8 0

2 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Paraphin [41]

Answer: