3 years ago

For the function y=-2x^2 + 4x + 1, what are the coordinates of the vertex? Is it a maximum or

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

the max is (1,3) and the vertical intercept it (0,1)

Step-by-step explanation:

if you need step by step use photomath it helps.

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Find the height of a cone with a diameter of 12 m whose volume is 226 m^3.

lozanna [386]

5m the answer because the height of the cone

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3 years ago

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

Differentiate both sides with respect to x.

$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

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3 years ago

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A student simplified the radical expression at the right. What mistake did the student make? What is the correct answer?

Leni [432]

X has to be inside the radical.
It would be
$\sqrt{ \frac{5x}{5} }$
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3 years ago

The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceedin

PSYCHO15rus [73]

We solve the inequality by subtracting 56.50 from both sides of the equation,
10.45b + 56.50 - 56.50 < 292.67 - 56.50
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Then, divide both sides of the inequality by 10.45
b < 22.6
The solution suggests that the number of boxes than can be loaded on a truck without exceeding the weight limit of the truck should always be lesser than 22.6. Since we are talking about number of boxes, the maximum number of boxes that can be loaded should only be 22.

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3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?

BabaBlast [244]

Answer: C.) $70,000

Explanation:
Assets - Liabilities = Net worth
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