What is 1 2/3 as an improper fraction
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B.f(x) = (x – 4)2 + 0
C.f(x) = (x + 8)2 – 72
D.f(x) = (x + 4)2 – 32
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I'll rearrange it using y and x.
y = x² - 16x + 8
y - 8 = x² - 16x
y - 8 + 64 = x² - 16x + 64
y + 56 = (x-8)²
y = (x-8)² - 56
(x - 8)(x - 8) = x(x-8) - 8(x-8) = x² - 8x -8x + 64 = x² - 16x + 64
Choice A.) f(x) = (x-8)² - 56
By completing the square, the function in vertexform f(x) = (x - 8)² - 56 is equivalent to the function in standardform f(x) = x² + 8 - 16 · x. (Correct choice: A)
How to determine the vertex of the quadratic function by algebraic means
In this question we must transform a quadraticfunction in standardform into vertexform. An analytical approach is completing the square, which consists in transforming part of the polynomial into a perfect squaretrinomial. Now we proceed to present the procedure:
1) x² + 8 - 16 · x Given
2) x² - 16 · x + 8 Commutative property
3) x² - 16 · x + 64 - 56 Modulative property/Existence of additive inverse/Definition of addition
4) (x - 8)² - 56 Associative property/Perfect square trinomial/Result
By completing the square, the function in vertexform f(x) = (x - 8)² - 56 is equivalent to the function in standardform f(x) = x² + 8 - 16 · x. (Correct choice: A)
To learn more on quadratic functions: brainly.com/question/5975436
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The population density is 0.418 bacteria per mm².
What is Area of Circle?
A circle's area is the area that it takes up in a two-dimensional plane.
The formula for area of circle is, A = πr², where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.
Given:
Radius= 40 mm
So, Area of petri dish = πr²
= 3.14x(40 mm)²
= 3.14 x 1600 mm²
= 5024 mm²
and, Population Density
= 2100 / 5024
= 0.418 bacteria per mm²
Hence, the population density is 0.418 bacteria per mm².
Learn more about area of circle here:
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Area = πr^2
= 3.14•(40 mm)^2
= 3.14•1600 mm^2
= 5024 mm^2
Pop Density = 2100 / 5024
= 0.418 bacteria per mm^2
The answer is 0.42 bacteria per square mm
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9=
=
=27
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I belive the answer is no. Tell me if im doing this wrong, but the square root of 380 is a decimal number.
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5 x + 4 y = 10
4 y = 10 - 5 x
y = 10 - 5 x / 4
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15)
14 = 7 y - 6 x
7 y = 14 + 6 x
y = 14 + 6x / 7
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18)
3 + 6 x = 11 - 4 y
- 4 y = 11 - 3 + 6 x
- 4 y = 8 + 6 x
y = 1 / 4 ( 8 - 6 x )
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hope this helps!
PROBLEM 12
5x+4y=10
Subtract 5x from each side which equals-
4y=10-5x which also equals 4y=-5x+10
Divide 4y by 4 as well as the other numbers
y=-5x/4+10/4
y=-5x/4+2 1/2
PROBLEM 15
14=7y-6x
Add -6x to each side
14+6x=7y
7y=6x+14
Divide 7y by 7 as well as the other numbers
y=6x/7+14/7
y=6x/7+2
PROBLEM 18
3+6x=11-4y
Subtract 3 from both sides
6x=8-4y
Subtract 8 from each side
6x-8=-4y
Divide -4y by -4 as well as the other numbers
6x/-4+-8/-4=y
6x/-4+2=y
y=6x/-4+2
There you go! Just ask if you have questions!