write h(x)=x2-6x + 3 in vertex form

Answers

Answer 1

Answer: The vertex form is h(x)=(x-3)^2-6

Step-by-step explanation:

Using the complete the square method, first complete any squares

X^2-6x+(-3)^2-(-3)^2+3

Use the binomial formula

(x-3)^2 - (-3)^2 +3

Simplify

(x-3)^2-6


Related Questions

Plz HELP!!!!!!!!!!!!!!!!!!!!!

Answers

They are Parallel, Intersecting, and perpendicular, if it's helpful let me know

ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)

Answers

Answer:

i hope this helps and its clear !

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).

What is an equivalent equation solved for y2?

Answers

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

Answer:

c

Step-by-step explanation:

edg

so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate

Answers

Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

How long is 139.5 minutes

Answers

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20

Answers

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?

Answers

Answer:

45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.

Step-by-step explanation:

Let t be the people who prefer tea, and let c be the people who prefer coffee.

The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products  give us 5t=9c.

Also, we have 36 more people prefer tea than coffee, so we have c+36=t

Thus we have: 5(c+36)=9c

5c+180=9c

180=4c

c=45

c+36=t

45+36=81

Evaluate the following expression

Answers

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9

Answers

The answer is 7 and 8
Answer is Between 7 and 8

Can someone please help me with this I don’t get it please help me

Answers

Answer:

13.3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

AM             AN

---------- = ------------

AM+AB          AC

6             8

---------- = ------------

6+4          AC

Using cross products

6AC = 8 * 10

6AC = 80

Divide by 6

AC = 80/6

AC =13 1/3

AC = 13.33333

Answer:

11

Step-by-step explanation:

add

In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?

Answers

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

[tex]a / sin(A) = c / sin(C)[/tex]

[tex]714 / sin(78) = c / sin(90)[/tex]

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

[tex]714 / 0.9781 = c / 1[/tex]

[tex]c = 714 / 0.9781 = 730\ cm[/tex]

What is the area of the triangle given below? 2 and 6

Answers

Answer:

6 sq. units

Step-by-step explanation:

The area of a triangle is base times height divided by 2.

[tex]\frac{bh}{2}[/tex]

[tex]\frac{6 \times 2}{2}[/tex]

[tex]\frac{12}{2} =6[/tex]

Answer:

D. 6

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:

A=1/2bh

A=1/2(6)(2)

A=1/2(12)

A=6

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Evaluate: (-2/3*3/4) -1

Answers

Answer:

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

[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]

[tex] = \frac{ + 2}{4} [/tex]

[tex] = + \frac{1}{2} [/tex]

Here's your answer girlfriend

Please follow me

y = 2 is a polynomial function.
True or false

Answers

Answer:

false

Step-by-step explanation:

I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5

Answers

Solve by Substitution
Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer: (2, 7)

Answer

C

Step-by-step explanation:

PRIMERO ENCUENTRAS x

y = 6x - 5

y =  x + 5 (-1)

      5x + 10

x = 10/5 = 2

ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES

ORIGINALES.

y = 62) - 5 = 7

B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C​

Answers

Answer:  C

Step-by-step explanation:

Translating  A'B'C' to A''B''C'' doesn't change the position of the vertices  and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.  

.Reflecting the figure  changes the position of the vertices so A and D can't be an answer choice.

another question I need help ! answer ASAP please .

Answers

Answer:

35

Step-by-step explanation:

Since we know the amounts of each vitamin per serving all we have to do is find the difference.

We do this by subtracting 90 from 125.

125 - 90 = 35

35, just subtract 90 from 125

Can I please get help with this?

Answers

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

A t-shirt increased in price by 14. After the increase it was priced at £30. What was the original price of the t-shirt?

Answers

So the increased price is 30 and it was increased by 14
So the cost before was 30 - 14 = 16

Answer:

Either £16 or £26.32 depending on what you meant in the question

Step-by-step explanation:

I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%

If its £14, then the original price is 30-14 = £16

If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.

This means that

£30 = 114%

To make it easier, reduce the 114% to 1 %

1% = 30/114

1% = £0.26316

100% = £26.32 (rounded to 2 decimal places)

Therefore the original price was £26.32

U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.

Answers

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100

75p - 50p = 25p = change in cost

Percentage profit= [tex]\frac{25}{50}[/tex] × 100

= 50%

A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters

Answers

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:


10 ft
8 ft


Find the perimeter of this figure to the
nearest hundredth. Use 3.14

Answers

Answer:

48.56 ft

Step-by-step explanation:

==>Given:

A rectangular figure joined with a half circle with the following dimensions:

Length of rectangle (l) = 10ft

Width of rectangle (w) = 8ft

Diameter of the half circle (d) = the width of the rectangle = 8ft

π = 3.14

==>Required:

Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle

==>Solution:

Perimeter of rectangle = 2(l + w)

Perimeter of half circle = ½ of circumference of a circle = ½πd

Perimeter of the figure = 2(10 + 8) + (½*3.14*8)

= 2(18) + (3.14*4)

= 36 + 12.56

Perimeter = 48.56 ft (to the nearest hundredth)

Answer:56.56

Step-by-step explanation:

For the perimeter of a rectangle

P = 2 × (a + b)

P = 2 × (8 + 10)

P = 2 × 18

P = 36

For the perimeter of a semicircle

P = (pi × r) + (2 × r)

Diameter = 8

Radius = 8/2

Radius = 4

P = (3.14 × 4) + (2 × 4)

P = 12.56 + 8

P= 20.56

Perimeter of this figure

P = r + c

P = 36 + 20.56

P = 56.56

The function of fx has been transformed to give go. Witch of the following functions represent gx?

Answers

Answer:

Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry

Step-by-step explanation:

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:

Answers

Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

25 points !!! 3 1/3 x 52

Answers

Answer:

Irrational

Step-by-step explanation:

3 1/3 × √52

= 10/3 × √52

= 20/3√13

= 24.037009

Irrational, the product cannot be written in the form p/q as a fraction.

Answer:

irrational

Step-by-step explanation:

3 1/3 * sqrt(52)

Changing to an improper fraction

10/3 * sqrt(52)

10 /3 * sqrt( 4*13)

10/3 * sqrt(4) sqrt(13)

10/3 * 2 sqrt(13)

20/3 sqrt(13)

Since sqrt(13) is irrational the product is irrational

in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years​

Answers

Answer:

252 bags of maize

Step-by-step explanation:

From the question, we are told that a farmer harvested maize

In the year 2012 = 144 bags of maize

In the year 2013(following year) the harvest decreased in the ratio 3:4

This means

3:4 = 2013: 2012.

Where number of bags harvested in 2013 = unknown = x

3/4 = x/ 144

Cross multiply 4x = 3 × 144

x = 3 × 144/ 4

× = 108

This means 108 bags of maize was harvested in 2013

The total number of bags harvested is = 108 + 144

= 252 bags of maize.

I REALLY NEED HELP MY DAD YELLED AT ME

Answers

Answer:

2/3

Step-by-step explanation:

f(x)=g(x)

-3x+4=2

Add 3x

3x+2=4

subtract 2

3x=2

divide by 3

x=2/3

Answer:

x= 2/3

Step-by-step explanation:

The value where f(x) = g(x) is where the two functions intersect

That would be at

f(x) = g(x)

-3x +4 = 2

Subtract 2 from each side

-3x = -2

x = 2/3

We know the y value.  Substitute x into the equation

g(2/3) = 2

y = 2

The point is (2/3,2)

What is the range of f(x)?
-3, -2, -1, 0,1
-2.-1.0.1
all real numbers such that -3 all real numbers such that -2

Answers

It -2,-1 I hope this help

The range of f(x) would be -2, -1, .0, 1.

What is the range of the function?

The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.

The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.

Learn more about the range of a function here:

https://brainly.com/question/7954282

#SPJ2

calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high​

Answers

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

Answer:

432 cm²

Step-by-step explanation:

The formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

336+96

= 432

The surface area of the open cuboid is 432cm²

help me, please asap

Answers

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

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