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2 years ago

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

Mathematics

1 answer:

RSB [31]2 years ago

6 0

The complete question is

"which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33

Oa. The equation has a maximum value with a y coordinate of -27

Ob. The equation has a minimum value with a y coordinate of -21

Oc. the equation has a minimum value with a y coordinate of -27

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

The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation is

y=-3x^2+12x-33

x = -b/2a

For the given equation the vertex :

x = -12/2(-3) = 2

The value of y at x = 2 is:

y = -3(2²) + 12(2) - 33

y = -12 + 24 - 33

y = -21

The extreme is the maximum for the given equation.

The correct choice is D.

Learn more about quadratic equations;

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A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?

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Formula
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Area of circle = πr²

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3 years ago

Read 2 more answers

What is the measure in each angle? A? B? C?

andrey2020 [161]

Answer:

∠A = 48°, ∠B = 48°, and ∠C = 84°

Step-by-step explanation:

AB = CB Given

m ∠A = m ∠C If opposite sides are =, then those opposite angles are =

6(x - 3) = 4(x + 1)

6x - 18 = 4x + 4

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3 years ago

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionali

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Answer:

The answer is most likely 5 shrimp eats 5 grams of food im one day,

Step-by-step explanation:

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionality and what does it tell us about the situation?

So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.

Now, We need to answer the question, What is the constant of proportionality and what does it tell us about the situation?

Then, That means '5, shrimp eats 5 grams of food in one day ' is correct.

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3 years ago

Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He

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Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = $\frac{30}{100}x=0.3x = 0.3x$

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

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Also Given:

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So we can say;

Amount paid in Old debts will be equal 30% of total amount receive

framing in equation form we get;

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Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

$x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400$

Hence Chan's Bonus amount was $2400.

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4 years ago