Find the value of x.

The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].

A quadratic function is an algebraic function of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex], [tex]\forall \,x, y, a, b, c\,\in \mathbb{R}[/tex] (1)

Where:

The maximum/minimum of a quadratic function is represented graphically by the vertex, which is the only point that has no a "twin" point by any means of symmetry. We can get the x-coordinate of the vertex by means of the quadratic formula:

[tex]a\cdot x^{2} + b\cdot x + (c- y) = 0[/tex] (2)

[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot (c-y)}}{2\cdot a}[/tex], where [tex]b^{2}-4\cdot a\cdot (c-y) = 0[/tex].

Hence, the x-coordinate of the vertex is:

[tex]x = -\frac{b}{2\cdot a}[/tex] (3)

And the y-coordinate of the vertex is determined by evaluating (1) at (3):

[tex]y = f\left(-\frac{b}{2\cdot a} \right)[/tex] (4)

The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].

We kindly invite to check this question on maxima and minima: https://brainly.com/question/12870574

Answer:

x=50

Step-by-step explanation:

This is a vertical angle, so the angle on top and the bottom are equal

[2(x+10)]=3x-30

2(x+10)=3x-30

2x+20=3x-30

50=x

Answer:

0

Step-by-step explanation:

Answer:

Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y

Step-by-step explanation:

Let "Four less than the product of three and n"

From the given statement we get an algebraic expression 3x - 4 = y.

An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.

An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.

Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.

To learn more about algebraic expression

https://brainly.com/question/19864285

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Answer:

y = (1/2)x + 14

Step-by-step explanation:

y = (1/2)x + 14

Answer:

domain: -1<x    range:y<-1

Step-by-step explanation:

seeing as how the x value seems to start at -1, but keeps going past that to the right, we can get the equation x>-1.  seeing as how the y value seems to start at -1, but keeps going down, we can get the equation y<-1.

Answer:

option D is correct

Step-by-step explanation:

option D is correct

as, both 2 and 3 are positive integers and also the 2 integer is going towards negative sign but it lies in positive area so,

-2 is in bracket when bracket will be open it will be in positive sign,

so,

2 + 3 - (-2) is correct ans.

hope this answer helps you dear take care and may u have a great day ahead!.

Answer:

its not funny I get

even I am confused

Answer:

Step-by-step explanation:

They are both acute. They are both on the same side of the transversal. They are (incidentally) equal. They are corresponding angles.

Answer:

[tex]3(x + 4) = 3x + 11 \\ 3x + 12 = 3x + 11 \\ 3x - 3x = 12 - 11 \\ 0 = 1[/tex]

So; Not solution

Answer:

fort nite

Step-by-step explanation:

i dont know what brainiest means

Answer:

5.4

Step-by-step explanation:

Multiply 10x5 and add 4 to get 54/10. Divided 54 by 10 and get 5.4 as your decimal answer!

a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.

Answer:

it's corect

Step-by-step explanation:

just change the subject it is not mathematics

Answer:

correct

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Difference between value as the years pass, ($22,050-$19,600 = $2,450)

To find purchase price: $22, 050 + $2,450 = $24,500

Answer:

- 3 / 5

Step-by-step explanation:

3 / - 5

= - 1 x 3 / 5

= - 3 / 5

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

Answer:

16/9

Step-by-step explanation:

16/9=1.77777777778

(3/4)^-2=1.77777777778

Answer: 20

Step-by-step explanation:

3+2 = 5 yards

5 divided by 1/4 = 5 x 4 = 20 bookmarks

Answer: (3, 9)

Step-by-step explanation:

X: Midpoint between 0 and 6

X: Midpoint between 1 and 5

X: Midpoint between 2 and 4

X: Midpoint is 3.

Y: Midpoint between 13 and 5.

Y: Midpoint between 12 and 6.

Y: Midpoint between 11 and 7.

Y: Midpoint between 10 and 8.

Y: Midpoint is 9.

Answer:

P < -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 4 to both sides.

Therefore, the answer is P < -1! (Also, the graphed solution is below.)

Answer:

30 gallons

Step-by-step explanation:

find the 6 on the x axis, and it meets to the 30 on the y axis, therefore the answer is 30 gallons (sorry if this doesn't make sense or if it's incorrect)

Step-by-step explanation:

GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.

I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!

9514 1404 393

Answer:

  x = 25/9

Step-by-step explanation:

  3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given

  6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8

  6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses

  9x -21 = 4 . . . . . . . . . . . . . . . collect terms

  9x = 25 . . . . . . . . . . . . . . . .  add 21

  x = 25/9 . . . . . . . . . . . . . .  divide by 9

Answer:

I got =

[tex]2 \ \frac{7}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} [/tex]

[tex]6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} [/tex]

Answer:

72

Step-by-step explanation:

Answer:

28 + 44 = 4(7 + 11)

Step-by-step explanation: