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3 years ago

What is the vertex of the parabola? y + 1 = -1/4 (x-2)^2

Mathematics

1 answer:

DerKrebs [107]3 years ago

8 0

Answer: i took a screen shot hope it helps

Step-by-step explanation:

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You work two jobs. You earn $9.45 per hour as a salesperson and $11.34 per hour stocking shelves. Your combined earnings this mo

konstantin123 [22]

Answer:

11.34x + 9.45y = 141.75

y = (141.75 - 11.34x)/9.45

y = -1.2x + 15

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3 years ago

It costs $x for a round-trip bus ticket to the mall. You have $24. Select an inequality that represents how much money you can s

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3 years ago

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Help again? I still don’t understand and I have two wrong

GarryVolchara [31]

The equation is y=1/2x+2
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3 years ago

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Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

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3 years ago

Hello, this is math and I need help ❤️ pls and ty ONLY SERIOUS ANSWERS

Greeley [361]

The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.

How to solve:

First use the formula: C = 3.14d
Replace the d value with 30 and solve the equation:

C = 3.14 x 30 ⇒ 94.2477796077

Then solve the equation again but 21 as the d value:

C = 3.14 x 21 ⇒ 65.9734457254

Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8

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2 years ago

What is the vertex of the parabola? y + 1 = -1/4 (x-2)^2​

What is the vertex of the parabola? y + 1 = -1/4 (x-2)^2