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1 year ago

Identify the Vertex: x^2 - 12x + 44

Mathematics

1 answer:

nikklg [1K]1 year ago

3 0

The vertex of the given quadratic polynomial function is (6, 8)

A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.

Given polynomial function x² - 12x + 44

Now, x = (-b/2a)

x = (12/2)

=> x = 6

Now, y = 6² - 12×6 + 44

y = 36 - 72 + 44

=> y = 8

Therefore, Vertex = (6, 8)

Learn more about Vertex of quadratic polynomial at:

brainly.com/question/15385707

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You can fit 2 in each or 3 can have some in it

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3 years ago

-950-?= -379<br><br><br> Help Will give brainliest!!

Karolina [17]

Answer: -571

Step-by-step-explanation:
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8 0

2 years ago

Maureen and her roommates ate 1/8 of a pint of ice cream on Friday night and 3/4 of a pint of ice cream on Saturday night. How m

PilotLPTM [1.2K]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil

Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x y

days packs of printer paper used

0 0 (0 days , 0 packs used)

80 140 (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0) and (80,140)

$slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}$

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

$y= \frac{7}{4} x$

Standard form is Ax + By =C

$y= \frac{7}{4} x$

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

$y= \frac{7}{4} x$

$y= \frac{7}{4}(30)= 52.5$

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5

8 0

2 years ago

Find the coordinate of point P that lies along the directed line segment from A (3, 4) to B (6, 10) and partitions the segment i

AveGali [126]

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(3,4)\qquad B(6,10)\qquad
\qquad 3:2
\\\\\\
\cfrac{AP}{PB} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(3,4)=3(6,10)\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\
-------------------------------$

$\bf P=\left(\cfrac{(2\cdot 3)+(3\cdot 6)}{3+2}\quad ,\quad \cfrac{(2\cdot 4)+(3\cdot 10)}{3+2}\right)
\\\\\\
P=\left( \cfrac{6+18}{5}~~,~~\cfrac{8+30}{5} \right)\implies \left( \cfrac{24}{5}~~,~~\cfrac{38}{5} \right)\implies \left( 4\frac{4}{5}~~,~~7\frac{3}{5} \right)$

8 0

3 years ago