Y=x^2-10x-18
Write down the information that can be obtained from the equation above?
Determine the vertex form

Answers

Answer 1

Answer:

Vertex form is y=(x-5)^2-43

Step-by-step explanation:

Given expression: x^2-10x-18

Take half of b:

-10/2=-5

Square the result:

-5^2=25

Add and subtract into original expression:

x^2-10x+25-25-18

Factor and simplify:

(x^2-10x+25)-25-18

(x-5)^2-25-18

(x-5)^2-43

So the vertex form is y=(x-5)^2-43


Related Questions

The relationship between the number of pounds (lb) of cereal and the price in dollars is shown in the graph. What is the unit price of cereal? ​

Answers

Answer:

D

trust me I got it right

Molly is making bags of trail mix for the hiking club. She will use 20 ounces of walnuts. 11.1 ounces of almonds, and 24.8 ounces of cashews. This amount makes 26 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a

Answers

Answer:

[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]

[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Question : Subtract the following using horizontal method :

i. 2x from -5x-5a from -18a

Step - by - step Explanation :

2x from -5x

In horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.

[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]

[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]

Likewise , Let's do next too:

-5a from 18 a

[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]

Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]

And we're done!

Hope I helped!

Have a wonderful time ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

i)-7x ii)23a

Step-by-step explanation:

i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a

The axis of symmetry of the graph of h is x = - 3. which ordered pair represents the additional point on the graph of h?​

Answers

Answer: (1,-5)

Step-by-step explanation:it’s the answer

pls help me do last question, step by step for understanding

Answers

Let's ignore the four corners for now.

Along the top, the length is 145 cm. Each tile is 25 mm, which is equivalent to 2.5 cm. So she'll need 145/2.5 = 58 tiles across the top

Similarly, she'll also need 58 tiles across the bottom as well because that length is also 145 cm.

Along the left side, she'll need 75/2.5 = 30 tiles and the right side is the same story.

So far we calculate 58+58+30+30 = 176 tiles

Add in the four corners to get 176+4 = 180 tiles total

-------------------------

A quicker method is to divide the perimeter (440 cm) over the side length of each tile (2.5 cm) and we get 440/2.5 = 176, which represents the number of tiles along the top, bottom, left and right sides. Again we're ignoring the corners. So we'll have to add them back in to get 176+4 = 180.

A 150-foot fence encloses a garden.What is the length of each side of the garden.

Answers

Answer:

15 ft 45 ft 30 ft 60 ft

Step-by-step explanation:

Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²

Answers

Answer:

[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]

Step-by-step explanation:

i will give brainliest 6th grade math

Answers

Answer:

A

Step-by-step explanation:

when you divide a fraction, you actually multiply by the reciprocal

Answer:

The correct answer is A, 4/5 x 5/4.

Step-by-step explanation:

I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...

Answers

Answer:

1/10

I hope this helps!

Answer:

1/10

Step-by-step explanation:

6/20, 5/20, 4/20, 3/20 2/20

Consider the line segment below.

А

M

B

(7x + 8) cm

(9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of a?

Part B - What is the length of AM?

AM

cm.

Part C - What is the length of BM?

BM

cm.

Part D - Is point M the midpoint of AB? Justify your answer.

Answers

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM

what must be added to -3/8 to get 5/16 ?

Answers

Answer:

[tex]\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}[/tex] + x = [tex]\frac{5}{16}[/tex]

x = [tex]\frac{5}{16}[/tex] - ( [tex]-\frac{3}{8}[/tex] ) = [tex]\frac{5}{16}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{5 + 6}{16}[/tex] = [tex]\frac{11}{16}[/tex]

x = [tex]\frac{11}{16}[/tex]

-3/8=5/16

put x after -3/8 to find 5/16

-3/8+x=5/16

find x

move -3/8 to the other side

sign changes from -3/8 to 3/8

-3/8+3/8+x=5/16-3/8

x=5/16-3/8

find the common denominator which is 16

multiply by 2 for -3/8

(-3)(2)=-6

(8)(2)=16

x= 5/16--6/16

negative sign and negative sign= +positive sign

x= 5/16+6/16=11/16

answer: x=11/16

Evaluate the expression (ab)² for a=4 and for b=3

Answers

Answer:

144

Step-by-step explanation:

(3 × 4)² = 144

You solve 3 × 4 first because parentheses come before exponents in PEMDAS.


A construction crew built
1/2
miles of road in
1/8 days.
What is the unit rate in miles per day?
Write your answer in simplest form.

Answers

Answer:

4 miles in 1 day

Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.

(1.2 x 105)2 + (3.11 x 1010) = ?

Answers

(1.2 x 105)2 + (3.11 x 1010) = 3393.1

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

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A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the bike is
rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the number of hours
and y represent the total cost of the rental. If another customer rents a bike for 8 hours, how much
should he expect to pay?

Answers

Answer:

34

Step-by-step explanation:

lifa a tarinici de alallqule sie~$1s de 0,sile s  umamos $24 ($3 por cada hora) da 34


Where is the angle of depression?

Where is the angle of elevation?

How far apart are the two buildings?

What’s the height of the taller building?

Answers

Answer:

angle of elevation is at top and depresseion on bottom.

Step-by-step explanation:

far apart and height is calculated with more information

Please help mee. Please help mee.
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Please help mee.

Answers

What do you need help with
The thing won’t load bro

Solve for b. ab + c = d
b = (d-c)/a
b = a + c/d
b = a/(c-d)​

Answers

Answer:

1st Option

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

ab + c = d

Step 2: Solve for b

Subtract c on both sides:          ab = d - cDivide both sides by a:              b = (d - c)/a

Answer:

B = (d-c)/a

Step-by-step explanation:

What is the slope???

Answers

Answer:

[tex]m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -1)

Point (1, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0+1}{1-0}[/tex]Add/Subtract:               [tex]m=\frac{1}{1}[/tex]Divide:                          [tex]m=1[/tex]

My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild. Determine all possibilities for the ages of my grandparents’ grandchildren.

Answers

Answer:

lets say they are a,b,c,d

a*b*c*d=67184

a<10

a=d-30

also bear in mind that b and c are in between

the rest is just trial and error as long as you satisfy all those equations above

Step-by-step explanation:

I’m not smart but I guessed 40

How do I solve this radical and then check all the solutions?

Answers

Answer:

This problem of equations involving surds can be solved by :

Firstly,square both sides of the equation to do away with the surd

(√x+3)²=(x-3)²

Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS

x+3=x²-6x+9

Rearranging leads to:

x²-6x-x+9-3=0

x²-7x+6=0 which factorises to:

(x-6)(x-1)=0

Finding the zeros leads to

x=6 or 1

We now conduct a test to see which value(s) of x satisfy the equation

√6+3=6-3

√9=3

3=3, so x=6 is true

Now for 1,

√1+3=1-3

√4 is not equal to -2

Therefore we conclude that x=6

When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7100 7 100 said mashed potatoes. Which food is more popular? How do you know?

Answers

Answer:

Turkey is more popular

Step-by-step explanation:

Turkey is more popular

From the given information:

We are being informed that 9% of the people said turkey;  &

7/100  said mashed potatoes.

The percentage of people that chose mashed potatoes = 7%

This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.

HELP ASP ON KITCHEN MATH !!!

Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring
How make 6 dozens cookies

Answers

Answer:

6 Dozen

Shortening: 6/4

Granulated Sugar: 18/4

Beaten Eggs: 2/4

Vanilla Extract: 2/2

Butter Flavoring: 2/4

Salt: 2/2

Baking Soda: 6/2

Cake Flour: 4

Food Coloring x 2

Step-by-step explanation:

6 ÷ 3 = 2

3 Dozen

Shortening: 3/4

Granulated Sugar: 9/4

Beaten Eggs: 1/4

Vanilla Extract:1/2

Butter Flavoring: 1/4

Salt: 1/2

Baking Soda: 3/2

Cake Flour: 2

Food Coloring

--------------------------------------------------

Shortening: 3/4 x 2

Granulated Sugar: 9/4 x 2

Beaten Eggs: 1/4 x 2

Vanilla Extract: 1/2 x 2

Butter Flavoring: 1/4 x 2

Salt: 1/2 x 2

Baking Soda: 3/2 x 2

Cake Flour: 2 x 2

Food Coloring x 2

--------------------------------------------------

6 Dozen

Shortening: 6/4

Granulated Sugar: 18/4

Beaten Eggs: 2/4

Vanilla Extract: 2/2

Butter Flavoring: 2/4

Salt: 2/2

Baking Soda: 6/2

Cake Flour: 4

Food Coloring x 2

6 Dozen cookies make with;

The amount of Shortening = 3/2

The amount of Salt = 2/2 = 1

The amount of Granulated Sugar = 9/2

The amount of Baking Soda = 6/2 = 3

The amount of Beaten Eggs = 1/2

The amount of Vanilla Extract = 1

The amount of Cake Flour = 4

The amount of Food Coloring = 1

The amount of Butter Flavoring = 1/2

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

For, 3 Dozen cookies we use;

The amount of Shortening = 3/4

The amount of Salt = 1/2

The amount of Granulated Sugar = 9/4

The amount of Beaten Eggs = 1/4

The amount of Vanilla Extract = 1/2

The amount of Butter Flavoring = 1/4

The amount of Baking Soda = 3/2

The amount of Cake Flour = 2

The amount of Food Coloring = 1/2

Since, We have to calculate all amount of things for 6 dozen cookies.

And, 3 x 2 = 6

Hence, 6 Dozen cookies make with;

The amount of Shortening = 3/4 x 2 = 3/2

The amount of Granulated Sugar = 9/4 x 2 = 9/2

The amount of Beaten Eggs = 1/4 x 2 = 1/2

The amount of Vanilla Extract = 1/2 x 2 = 1

The amount of Butter Flavoring = 1/4 x 2 = 1/2

The amount of Salt = 1/2 x 2 = 1

The amount of Baking Soda = 3/2 x 2 = 3

The amount of Cake Flour = 2 x 2 = 4

The amount of Food Coloring = 1/ 2 x 2 = 1

So, 6 Dozen cookies make with;

The amount of Shortening = 3/2

The amount of Salt = 2/2 = 1

The amount of Granulated Sugar = 9/2

The amount of Baking Soda = 6/2 = 3

The amount of Beaten Eggs = 1/2

The amount of Vanilla Extract = 1

The amount of Cake Flour = 4

The amount of Food Coloring = 1

The amount of Butter Flavoring = 1/2

Learn more about the product visit:

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.53х^2 – .6х^3
Standard form

Answers

well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)

1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D

Answers

He paid 6.99 because each pound cost 0.99

Answer:

B. $5.94

Step-by-step explanation:

rewrite the equation by completing the square x^2-2x+1=0

Answers

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.​

Answers

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]


15. In the drawing, find the perimeter of triangle BIS.

Answers

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

[tex] BI \cong ST.... (given) \\[/tex]

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

[tex] \frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\

\frac{x}{12} = \frac{4}{x}\\\\

x\times x = 12\times 4\\\\

x^2 = 48\\\\

x=\sqrt{48}\\\\

x = 6.92820323\\\\

x = 6.93\\[/tex]

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?

Answers

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

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