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galben [10]
2 years ago
8

Write y=-3x^2+12x-21 in vertex form

Mathematics
2 answers:
tensa zangetsu [6.8K]2 years ago
6 0
The vertex form of any function is : <span>f(x) = a(x-h)^2 + k
 Hence the correct option would be: A): "</span><span>-3(x-2)^2-9</span>"
riadik2000 [5.3K]2 years ago
5 0
Complete the square: 
<span>y = 3x^2 - 12x + 4 </span>
<span>y = 3(x^2 - 4x) + 4 </span>
<span>y = 3(x^2 - 4x + 4 - 4) + 4 </span>
<span>y = 3(x^2 - 4x + 4) - 12 + 4 </span>
<span>y = 3(x - 2)^2 - 8</span>
You might be interested in
A right triangular prism has a height of 3 ft, a width of 4 ft, and a hypotenuse of 5 ft. The depth of the triangle is missing.
DiKsa [7]
Depth=15
x=(height(h)*width(w)*hypotenuse(y))/2
x=(3*4*5)/2=(60/2)=30
y=(x(x-h)(x-w)(x-y))^(1/2)
f=(-h^4+2(hw)^2+2(wy)^2-w^4+2(hy)^2-y^4)^(1/2)
f=(-3^4+2(3*4)^2+2(4*5)^2-4^4+2(3*5)^2-5^4)^(1/2)
f=576^(1/2)
f=24
Surface Area= 2f(.5)+(h+w+y)*depth
192=depth*(3+4+5)+24(.5)
180=(3+4+5)*depth
180=(12)(depth)
15=depth

8 0
3 years ago
What’s the answer to question 3?
attashe74 [19]

Answer: The mean is <em>14</em> and the median is <em>14.5</em>

Step-by-step explanation:

To find the mean, add up all of the numbers in the series and divide by the amount of numbers in the series. In this case, the answer comes out to 14.

For the median, you put the numbers in order of least to greatest, as they are listed in the question. You then cross out a number from the left, then a number from the right, one at a time until you are left with either one middle number, or in this case two middle numbers. In this case you are left with 13 and 16. You then find the average of the two middle numbers, which in this case is 14.5

Hope this helps!

7 0
3 years ago
Read 2 more answers
60 000 kg = how many tonnes
JulsSmile [24]

Answer:

66.138679

Step-by-step explanation:

1 ton = 907.185

60,000/907.185 = 66.138679

You're welcome

3 0
3 years ago
Read 2 more answers
If the measure of one interior angle of a regular polygon is 144 degrees, find
Dmitrij [34]

There are 10 sides becuase the equation set up is \frac{180(n-2)}{n} and equal it to 144.

Solve for n and get 10


6 0
2 years ago
What is 125^2/3 in simplest form? and What is \sqrt[5]({-245} ) ^{5} in simplest form?
Natasha_Volkova [10]
{ 125 }^{ \frac { 2 }{ 3 }  }\\ \\ ={ \left( { 125 }^{ \frac { 1 }{ 3 }  } \right)  }^{ 2 }\\ \\ ={ \left( \sqrt [ 3 ]{ 125 }  \right)  }^{ 2 }\\ \\ ={ 5 }^{ 2 }\\ \\ =25

This is because:

{ a }^{ \frac { m }{ n }  }\\ \\ =\sqrt [ n ]{ { a }^{ m } }

Remember that:

5 x 5 x 5 = 125
5 0
3 years ago
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