write y=2x^2-12x+16 in vertex form

Answer:

y = 43

Step-by-step explanation:

(y-4)/3 = (y+9)/4

4(y-4) = 3(y+9)

4y-16 = 3y+27

4y-3y = 27+16

y = 43

Answer:

-3<x<_3

You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

x - 3 < -9

simplifies to x < -6, which is to the left with an open circle

x + 5> 12

simplifies to x > 7, which is to the right a closed circle

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

Answer:

[tex]x * (x - 2) = 143[/tex]

Where [tex]x = 13[/tex]

Step-by-step explanation:

Given

[tex]x (x - \_) = 143[/tex]

Required

Complete the blank

The complete question implies that the product include 2 consecutive odd numbers.

Two numbers whose products equal 143 are: 11 and 13

i.e. [tex]11 * 13 = 143[/tex]

So, we have:

[tex]x * (x - \_) = 13 * 11[/tex]

By comparison, we have:

[tex]x = 13[/tex]

[tex]x - \_ = 11[/tex]

Collect like terms

[tex]\_ = x - 11[/tex]

Substitute 13 for x

[tex]\_ = 13 - 11[/tex]

[tex]\_ = 2[/tex]

So, the complete equation is:

[tex]x * (x - 2) = 143[/tex]

Where [tex]x = 13[/tex]

Answer:

2

and

13

Step-by-step explanation:

Got it right on edge.

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

[tex]4x-18=[4x+8]/2[/tex]

[tex]4x-18=2x+4[/tex]

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

Answer:

C) postulate

An axiom or a postulate is an accepted statement of fact.

OAmalOHopeO

Answer:

Im pretty sure its definition

Answer:

sir Malcolm darling

Step-by-step explanation:

he has said Indian farmer is born in dept lives in dept and die in dept.

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]

The number N thought by Samantha divided by5 is expressed as;

[tex]\dfrac{N}{5}[/tex]

If the result is added to 4 and stored as R, then;

[tex]R = \dfrac{N}{5}+4[/tex]

This gives the required result

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]

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Answer:

45 and 23

Step-by-step explanation:

Let x equal the first number and y equal the second number.

We can set the following equations up with our information:

[tex]x+y=68[/tex]

[tex]x-y=22[/tex]

Adding the two equations together, we get:

[tex]2x=90[/tex]

Dividing by two, we receive [tex]x=45[/tex]

We can plug this into our first equation to get [tex]45+y=68[/tex].

Subtracting 45 from both sides, we get [tex]y=23[/tex].

The two numbers are 45 and 23, solved using system of equations.

A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.

In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.

We assume the two numbers to be x and y.

The sum of the two numbers is given to be 68.

This can be shown as an equation, x + y = 68 ... (i).

The difference of the two numbers is given to be 22.

This can be shown as an equation, x - y = 22 ... (ii).

Equations (i) and (ii) together makes a system of equation in the variables x and y.

To solve for the system of equation, we add (i) and (ii), to get:

x + y = 68

x - y = 22

_________

2x  = 90,

or, x = 45.

Substituting x = 45 in (i), we get:

x + y = 68,

or, 45 + y = 68,

or, y = 23.

Thus, the two numbers are 45 and 23, solved using system of equations.

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Answer: the first table.

Step-by-step explanation:

The terms in the domain (x) should have only one range (y)

Answer:

A) x: -3, 0, -2, 8

    y: -1, 0, -1, 1

Step-by-step explanation:

Function has only one output for each input.

OAmalOHopeO

Answer:

(x + 1)² + (y - 2)² = 9

Step-by-step explanation:

Equation of the circle with center (h, k):

(x - h)² + (y -k)² = r²  where r is radius

Center(-1 , 2) ;  r =3

(x - [-1])² + (y - 2)² = 3²

(x + 1)² + (y - 2)² = 9

Answer:

The house is 6274.8 feet from the pilot.

Step-by-step explanation:

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

Answer:

Step-by-step explanation:

xy-3x-5y+15

x(y-3)-5(y-3)

(y-3)(x-5)

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )

Answer:

Hello,

Step-by-step explanation:

[tex]x(a-b)=a(b-x)\\\\x(a-b)=ab-ax\\\\x(a-b)+ax=ab\\\\x(a-b+a)=ab\\\\x(2a-b)=ab\\\\\\x=\dfrac{ab}{2a-b} \ if\ 2a-b\neq 0[/tex]

Answer:

[tex]{ \sf{x(a - b) = a(b - x)}} [/tex]

Open the brackets:

[tex]{ \sf{ax - bx = ab - ax}} \\ { \sf{2ax - bx= ab }}[/tex]

Factorise out x:

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

=====================================================

Explanation:

Let's go through the answer choices to see which are true and which are false.

Answer:

The base angles are congruent.

The two sides opposite the base angles are congruent.

The bisector of the vertex angle is the perpendicular bisector of the base.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

As the graph depicts, the function is increasing in the interval [-2,3]

Answer:

4 : 0

Step-by-step explanation:

10 red and 4 green

There are 0 yellow peppers

green: yellow

4 : 0

Answer:

I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just

Answer:

its octagon. first and last one it has total 8 sides

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

Answer:

sqrt(65)

Step-by-step explanation:

To find the distance between the two points

d = sqrt(  (x2-x1)^2+ (y2-y1)^2)

   = sqrt( (4-3)^2 +(1 - -7)^2)

    = sqrt( 1^2 + (1+7)^2)

    = sqrt( 1+8^2)

    = sqrt(1+64)

sqrt(65)

[tex] \large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \: (y_2 \: - \: y_1) ^{2} } }}}}}\end{gathered}[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ \bigg(4 \: - \: 3 \bigg) ^{2} \: + \: \bigg(1 \: - \: [ - 7 ]\bigg) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ (1) ^{2} \: + \: (1 \: + \: 7 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 1 \: + \: (8 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 65 }[/tex]

[tex]\Large \purple \diamond \: \: \underbrace {\rm {{{\color{blue}{Distance \: = \: \sqrt{65} }}}}} \: \: \purple \diamond[/tex]

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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Answer:

y = 2x -4

Step-by-step explanation:

2y = 4x - 8

Divide each side by 2

2y/2 = 4x/2 - 8/2

y = 2x -4