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3 years ago

Which statement is true about the extreme value of the given quadratic equation?

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

Answer:

Option B. The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

The correct quadratic equation is

$y=-3x^{2}+12x-33$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Convert to vertex form

Factor -3

$y=-3(x^{2}-4x)-33$

Complete the square

$y=-3(x^{2}-4x+2^2)-33+12$

$y=-3(x^{2}-4x+4)-21$

Rewrite as perfect squares

$y=-3(x-2)^{2}-21$

The vertex is the point (2,-21)

therefore

The equation has a maximum value with a y-coordinate of -21

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1.3.12

kondaur [170]

Answer:

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;

X = (x1+x2)/2

6 = (0+x2)/2

cross multiply

12 = 0+x2

x2 = 12-0

x2 = 12

For 2;

Y = (y1+y2)/2

-2 = (2+y2)/2

cross multiply

-4 = 2+y2

y2 = -4-2

y2 = -6

<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>

3 0

3 years ago

The volume of a sphere is 5000 pi m^3 what’s the surface area of the sphere

VMariaS [17]

Volume of sphere is given by:
V=4/3πr³
the radius of the sphere will therefore be given by:
5000π=4/3πr³
solving for r we get:
r³=3750
hence
r=15.54 m
the area will therefore be:
A=4πr²
A=4π(15.54)²A=965.49π m²

8 0

3 years ago

Read 2 more answers

I don’t know how to do this. HELP!

Karo-lina-s [1.5K]

Answer:

1/4

Step-by-step explanation:

coins have 2 sides, tails and heads, so for it to land on tails is a 1/2 chance. Dice have 6 sides and 1,3,5 are all odd so its a 3/6 chance. Simplify 3/6 to 1/2 and multiply by 1/2 to get 1/4. im not sure, its my guess.

3 0

3 years ago

Q: suppose the florist has 18 roses and 36 tulips. What is the GFC (greatest common factor) of the numbers of roses and tulips?

TEA [102]

The common factor would be 3

6 0

3 years ago

Anya makes a scale drawing of a bug. The scale of the drawing’s length to the actual bug’s length is 2 inches: 1/8 inch. The act

ioda

<h2>Hello!</h2>

The answer is: The Anya's drawing is 6 inches long.

Have a nice day!

To solve this problem, we need to consider the drawing's length with respect to the actual bug's size, so, the scale factor is:

$2in:\frac{1}{8}in\\\\2x(in):\frac{3}{4}in$

So, how long is Anya's drawing of the bug?

We can find it, using the following equation:

$(2x)in=\frac{2in*\frac{3}{4}in}{\frac{1}{8}in}=\frac{\frac{6}{4}in}{\frac{1}{8}in}=\frac{\frac{3}{2}in }{\frac{1}{8}in}\\\\(2x)in=\frac{\frac{3}{2}in }{\frac{1}{8}in }=\frac{3}{2}in*\frac{8}{1}in=12in^{2}\\\\(2x)in=12in^{2} \\\\x=\frac{12in^{2} }{2in}=6in$

Hence, the Anya's drawing is 6 inches long.

Have a nice day!

7 0

3 years ago