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3 years ago

Need answers ASAP, thank you in advance!

Mathematics

1 answer:

BabaBlast [244]3 years ago

6 0

Graph A)

Vertex : (-4,4)

Domain: All real numbers

Range: y <= 4

x-intercepts: (-2,0) (-6,0)

how many solutions: 2 solutions because x-intercepts already give you the solution.

Axis of Symmetry : x = -4

Graph B

Vertex: wait for better image

maximum or minimum: The graph has minimum point because it is the lowest point in the graph or rather say that the point gives the least value and that's why it is callled minimum.

describe the end behavior:

when x approaches negative infinity, f(x) will approach positive infinity.

when x approaches positive infinity, f(x) will appeoach positive infinity

why no solution:

when

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melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

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3 years ago

If A is between X and Y, and XA = 3x, AY = 2x + 5, and XY = 60, find.<br> the value of 'X'.

andreyandreev [35.5K]

Answer:

x = 13

Step-by-step explanation:

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5x + 5 = 60

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Answer: 64.39 dollars

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Explanation:

Before the discount, he would spend 59.99+32 = 91.99 dollars. This is before sales tax is added.

However, he gets 30% off, so he saves 0.30*91.99 = 27.597 = 27.60 dollars.

Meaning that he actually spends 91.99 - 27.60 = 64.39 dollars

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As a shortcut, we can multiply 91.99 by 0.70 to get 64.393 which rounds to 64.39

The 0.70 is due to the fact that if he saves 30%, then he still has to pay the remaining 70%

Keep in mind that sales tax would need to be added on; however, your teacher doesn't mention the sales tax rate.

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