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MrRa [10]
3 years ago
14

Which statement is true about the extreme value of the given quadratic equation? A. The equation has a maximum value with a y-co

ordinate of -21. B. The equation has a maximum value with a y-coordinate of -27. C. The equation has a minimum value with a y-coordinate of -21. D. The equation has a minimum value with a y-coordinate of -27.
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

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

Step-by-step explanation:

From the given equation:

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

This parabola is vertical and is goes downward via the negative path

Where the vertex represents the maximum value;

\mathbf{y = -3 (x^2 + 4x) -33}

Using completing the square method;

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

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

To perfect square:

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

The vertex point is (2, -21)

Hence ; the equation has a maximum value with a y-coordinate of -21.

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Vlad1618 [11]

Answer:

Let x= number of games bowled.

Amount spent at Vista Bowl=2+3.5x

Amount spent at Pinz Bowl=5+3.25x

Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:

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                             3.5x-3.25x=5-2               combining like terms

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                             x=(3)(4)                         multiply both sides by 4 to isolate the x

                             x=12                              answer

Step-by-step explanation:

3 0
3 years ago
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
MakcuM [25]
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The area of one of the clear parts = 1/2 area of square - area semicircle

= 1/2 * 10^2  -  1/2 pi *5^2 = 50 - 12.5pi 

So area of shaded parts =  area of square -  4 (50 - 12.5pi)
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Adam bought A new pair of baseball cleats for $65 the sales tax is 5.5% what is the total cost in dollars that Adam will pay
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3 years ago
Solve x^2 +14x=15 by completing the square
ivanzaharov [21]

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form x^{2}+2ax+a^{2}=(x+a)^{2}.

This results in x^{2} + 14x + 7^{2} = 15 + 7^{2}.

Next, we <u>simplify the equation</u> to get x^{2} +14x+7^{2} = 64.

<u>Factoring </u>the left side gives us (x+7)^{2} = 64.

Finally we <u>solve the equations</u>: x+7=\sqrt{64} and x+7=-\sqrt{64}.

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6 0
3 years ago
Read 2 more answers
Simplify the expression. Assume all variables are positive. <br> (r/32s)^8/5
balandron [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

(\frac{r}{32s} )^{\frac{8}{5} }

It could be written as

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }

32 could be written as 2^{5}

So, replacing that in our expression

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(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}

\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }

This is the simplified form of given expression.  :  Answer

Hope it will help :)




6 0
3 years ago
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