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2 years ago

Identify the vertex for the graph of y = −3x^2 + 6x − 4

Mathematics

1 answer:

algol [13]2 years ago

3 0

Answer:

the vertex is (1,-1)

Step-by-step explanation:

y = −3x^2 + 6x − 4

the vertex is at

h= -b/2a where ax^2 +bx+c

h= -6/2(-3)

h= -6/-6

h=1

substitute this in to find the y value

y = -3(1)^2 +6(1)-4

y = -3+6-4

y = -1

the vertex is (1,-1)

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Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4

Mama L [17]

The age of the Harry in the terms of variable x, as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is a years and the age of his father is b years. Now Harry is one third as old as his father, thus

$a=\dfrac{1}{3}b$

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

$a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4$

The age of the Harry in the terms of variable x, as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$ $\sqrt{3}x+4$

Learn more about the algebraic expression here;

brainly.com/question/2164351

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2 years ago

) the top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. if the area of printed material on the pos

grin007 [14]

If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)

Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm

The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.

_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.

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3 years ago

Help ~ with this question ! <img src="https://tex.z-dn.net/?f=%20%5Ctiny%7B%20%5Csf%7B24%20%2B%2024%20%5Cdiv%206%7D%

Hitman42 [59]

Answer:

Step-by-step explanation:

24 + 24 ÷ 6

24 + 4

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2 years ago

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The bank offers two kinds of checking accounts. Account A charges a fee of $.20 for each check that is written and has no monthl

Leya [2.2K]

Account A.....with 250 checks
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so by using Account B, u r saving (50 - 26.50) = 23.50

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3 years ago

Click on the graph below to create a quadrilateral with vertices at the following points. (-4,9), (-8,9), (-9,7), (-9, 4)

Shalnov [3]

Given (-4,9) (-8,9),(-9,7,(-9,4)

...

To Find : plot the point and draw quadrilateral

Solution:

(-4,9)

go 4 left of origin and then go 9 up

(-8,9)

go 8 left of origin and then go 8 up

(-9,7)

go 9 left of origin and then go 7 up

(-9,4)

go 9 left of origin and then go join (-4,9) with (-8,9) and (-9,4) 4 up

join (-9,7) with (-8,9) and (-9,4)

Quadrilateral is constructed

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2 years ago