Write the quadratic function in vertex form. y = x2 + 8x + 18

Answers

Answer 1

for vertex form, half the middle term and square it
(x2 + 4x + 16) + 18 - 16
so...
(x + 4) ^2 + 2

Related Questions

The sum of 16 and a number x is equal to 20

Answers

" the sum " means add

16 + x = 20 <= ur equation
x = 20 - 16
x = 4 <== the number

The sum of 16 and 4 is equal to 20.
This is how I know:
20-16=4
How do I know this?
Sum means to add. To get the sum of something that equals another number, you must see what number adds up with 16 to get 20. So, this means that 16+4=20.

Hope this helps. <3 :)

Round 894-352 to the nearest ten

Answers

the correct answer is 540

the answer is 540 because you just subtract the round your answer.

Which property justifies the following equation 7 [6+5+(-6)=7 [6+(-6)+5]

Answers

Commutative property

I believe that is the commutative property because u r moving the numbers around.

The width of a rectangle is 3 inches shorter than the length. the perimeter of the rectangle is 18 inches. what is the length of the rectangle

Answers

6 is the length and 3 is the width. 6+6+3+3=18

Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function. y=-2(x) and y=-2(x)-3

Answers

The graph y=-2(x)-3 is shifted down 3 units from y=-2(x)

The graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equations of the functions are:

y -2x

y = -2x - 3

The graph of the function y = -2x will be a straight line that is passing through origin (0, 0).

Applying transformation to the graph of the function y = -2x

y = -2x - 3

As we can see in the graph:

The graph y=-2x - 3 is shifted down 3 units from y = -2x

Thus, the graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Rita bought a table on sale for $278.80 . this price was 66% less than the original price. what was the original price?

Answers

if it was 66% less then the original, then u paid 34%

34% of the original price = 278.80
0.34x = 278.80
x = 278.80 / 0.34
x = 820 <== original price was $ 820

HELP ME PLEASE NEED ANSWER NOWWWWWWWWWW solve the following system of equation. Round your answer to the nearest tenth. Your answer will be in the form (M,N). Find M+N, rounded to the nearest tenth.
5x+2y=21
-2x+6y=-34

Answers

(A) 5x+2y=21
(B) -2x+6y=-34

multiply (A) by - 3→ -15x - 6y = - 63 (C)

Now add (C) to (B):

-15x - 6y = - 63 (C)
-2x + 6y =-34 (B)
----------- --------
-17x = - 97 and x = 97/17

Now replace x value in any of the equation and you'll find y = - 64/17

1st Answer (97/17 , - 64/17)
2nd Answer : 97/17 + (-64/17) = 97/17 - 64/17 = 33/17 ≈ 2

Rivka and Sara are sisters and contestants on a survival reality tv show. They must each build a raft that will ultimately carry them off the island. Rivka can build her raft in 5 days. Sara can build her raft in 6 days. Though, as sisters, they sometimes fight, they decided to work together to build their rafts. How many days will it take Rivka and Sara to build their two rafts? (Round your answer to one decimal.)

Answers

Rivka's working rate is
x = (1 raft)/(5 days) = 1/5 rafts/day.
Sara's working rate is
y = (1 raft)/(6 days) = 1/6 rafts/day.

When working together, their combined working rate is
x + y = 1/5 + 1/6 = 11/30 rafts/day

The days required to build 2 rafts together is
( 2 rafts)/(11/30 rafts/day) = 60/11 days = 5.45 days

Answer: 5.5 days

Final answer:

Rivka and Sara can build their two rafts together in approximately 5.5 days, as they have a combined work rate of 11/30 rafts per day when they work together.

Explanation:

Rivka and Sara, working together to build their rafts, would combine their work rates to find out how many days it will take to build two rafts. Rivka can build a raft in 5 days, which means her work rate is 1 raft per 5 days or 1/5 raft per day. Sara can build a raft in 6 days, equating to a work rate of 1/6 raft per day.

When they work together, their combined work rate is 1/5 + 1/6 rafts per day. To combine these, we find a common denominator:

1/5 + 1/6 = (6 + 5) / 30 = 11/30 rafts per day

The question asks how long it takes to build two rafts. Therefore, we divide the total number of rafts by their combined work rate:

2 rafts / (11/30 rafts per day) = (2 * 30) / 11 days = 60/11 days ≈ 5.5 days

Hence, Rivka and Sara will take approximately 5.5 days, or 5.5 days rounded to one decimal, to build two rafts if they work together without stopping.

solve for y, 3xy+x=9 Then find f(x) when x=2

Answers

3xy+x=9
3xy = 9 - x
y = 3/x - 1/3

if x = 2
f(2) = 3/2 - 1/3
f(2) = 9/6 - 2/6
f(2) = 7/6
f(2) = 1 1/6

If two cards are drawn without replacement, what is the probability of drawing at least one ace

Answers

It would be 50%. Since there are 2 cards and the maximum for percents are 100%, 100 divided by 2 would be 50.

I need help with this

Answers

The expression would be: 11.5-1 1/2x
x represents the number of weeks she would cut her hair off.

Please vote my answer brainliest. thanks!

y=-1.5x+11.5
This is the correct expression because it shows how much hair she has left per week in consideration of how much hair she started out with.

22>= 5(2y+3)-3y how do I solve this

Answers

Final answer:

To solve the inequality 22 >= 5(2y+3)-3y, we distribute the 5, combine like terms, then isolate and solve for y, showing that y must be less than or equal to 1.

Explanation:

To solve the inequality 22 >= 5(2y+3)-3y, follow these steps:

Distribute the 5 into the parentheses: 22 >= 10y + 15 - 3y.Combine like terms on the right side: 22 >= 7y + 15.Subtract 15 from both sides to isolate the term with y: 7 >= 7y.Divide both sides by 7 to solve for y: y <= 1

The final answer is that y must be less than or equal to 1.

Name the property shown by the statement.
2 + 5 = 7

Answers

Property of addition

What is the answer to question 3. Letter A?

Answers

Your answer should be Line Graph.

The answer is a bar graph because a bar graph is used to measure more than one thing. In this case, each bar would represent each species of birds, x would represent the years and y would represent the number of birds.

is 5.75 greater than 5 8/12

Answers

Yes, as 5 8/12 is equal to 5.667

Yes, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given two numbers as

5.75 and 5 8/12

To determine the value 5.75 is greater than or less than 5 8/12

We have to convert the fraction 5 8/12 into the decimal,

⇒ 5 8/12

⇒ (60 + 8)/12

⇒ (68)/12

Apply the division operation,

⇒ 5.67

Therefore, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.

Learn more about the fractions here:

brainly.com/question/10354322

#SPJ2

How to you solve this problem

Answers

5x + x = 90
6x = 90
x = 90/6
x = 15

9y + 18 = 90
9y = 72
y = 8

Hope this helps!

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

Answers

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance

Answer:d

Step-by-step explanation:

If JK LM , which statement is true ?

Answers

The answer to this question would be: B. JK and LM meet at a right angle.

The reversed T symbol in this question means "perpendicular". That means the JK and LM line have 90-degree angle difference. A straight angle is 180 degree and right angle mean 90 degrees.
A perpendicular line should be in the same plane and intersect each other.

Simplify

4.4² + 5 =

5.10÷15−3=

6.2 ⋅ 72−10(9+1)3=2 · 72−10(9+1)3=

Answers

4.4^2 = 19.36
19.36 + 5 = 24.36
Answer: 24.36

5.10 ÷ 15 = 0.34
0.34 -3 = -2.66
Answer: -2.66

6.2(72) = 446.4
446.4 - 10 = 436.4
9 + 1 = 10
436.4(10) = 4,364
Answer: 346.4

just break down the problems so you can understand it better

good luck on your assignment

~MeIsKaitlyn :)

I'm stuck on this problem also
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth

Answers

The perimeter is 14.47

Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result. Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5 Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5 Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47 Now add the length of each side together 5 + 5 + 4.47 = 14.47

A rectangle is twice twice as long as it is wide and has the same perimeter as a square whose area is 9 square feet feet larger than that of the rectangle. what are the dimensions of both the rectangle and the square?

Answers

The dimension of rectangle : 6 and 12 units

square= 9 units

What is Perimeter ?

Perimeter is the distance around the edge of a shape.

Given:

let the width of rectangle be x.

length= 2x

let the side of square is y units.

Perimeter of rectangle = Perimeter of square

and, Area of square= Area of rectangle + 9

First, Perimeter of square= 4* side

= 4y units

Perimeter of rectangle,

=2(l+b)

=2(2x+x)

=6x units

Since, Perimeter of rectangle = Perimeter of square

6x=4y

3x=2y

Now, Area of square= Area of rectangle +9

y²= x*2x+9

y²= 2x²+9

y²= 2(2y/3)²+9

y²= 8y²/9+9

1/9 y²= 9

y²=81

y=±9

So, x=2y/3= 2*9/3

x= 6

Hence, dimension of rectangle is 6 and 12.

dimension of square is 9 units.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ2

put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301

Answers

6.8,6.827,6.86,6.9

1.2,1.203,12.03, 12.301,12.31

Answer:

6.8,6.827,6.86,6.9

Step-by-step explanation:I hope it helps

Evaluate [(21 + 6) − 3squared] ÷ 9 ⋅ 2.
choices are

4
4.6
1
52

Answers

The answer is 4 hope this helps. Good Luck!

Raylene bought a roll of tape with a length of 18.9 feet. if she has used 6.3 feet, how much tape is left?

Answers

18.9 - 6.3= 12.6 ft of tape left

Please answer all 3 questions thank you.

Answers

1) Since 8 is 3 units away from 5 we know the radius is 3. When we put that in the circumference formula we get 6(pi) which is 18.8

2) When we use pythagorean thereom we get that the radius is 5 time the square root of 2. When we put this in the area formula we get 25(2)(pi) which is 157.1

Given that (-4,5) is on the graph of f(x), find the corresponding point for the function f(2x)

Answers

Answer:

the correct answer is (-2,5)

Step-by-step explanation:

you multiply 1/2 by -4 to get the x value

To find the corresponding point on the function f(2x) given a point on the original function f(x), simply multiply the x-coordinate by 2. In this case, the corresponding point is (-8,5).

Given: Point (-4,5) is on the graph of f(x).

To find: Corresponding point for the function f(2x).

Solution:

When x = -4, 2x = 2*(-4) = -8.So, the corresponding point for f(2x) would be (-8,5).

Dennis cutting 4.7 foot length of twine from a 240 foot spool of twine he needs to cut 42 lenghts and says that 45 feet of twine will remain. Show that this is reasonable

Answers

sorry i had sent something wrong

The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?

Answers

p = 390,00 + 4000x

450,000 people - (15years x 4000) = 390k in 2010

15 years is the difference between 2010 and 2025
subtract 60k (that is the 15 years multiplied by 4k) from 450k and you get 390k.

Sorry if my explanations suck, I'm not great at explaining my thought process

what seperates the places larger than 1 from those that are fractions of 1 such as tenths,hundreths

Answers

the decimal point separates them.

The measure of one of the acute angles in a right triangle is 59°. what is the measure of the other acute angle?

Answers

The answer is: 31° .
________________________________

59 + 90 + x = 180

59 + 90 = 149 ;

x + 149 = 180 ;

Subtract 149 from each side of the equation:

x + 149 - 149 = 180 - 149 = 31 .

The answer is: 31° .

in a right triangle, the acute angles will add to 90 degrees

that is because one of the angles is 90 and the sum of all the angles is 180
so if x and y are the acute angles and z is the right angle then
x+y+z=180, subsitutuing 90 for z
x+y+90=180
minus 90
x+y=90

so if one is 59 degrees then
59+y=90
minus 59 from both sides
y=31

the other acute angle is 31 degrees

Other Questions

What is the value of b?A 76 B 106 C 120 D 224 Is climes the stairs an adjective Identify the four postulates of natural selection. select all that apply. select all that apply. individuals with certain traits are more likely to survive and reproduce. individuals in a population all possess the same traits. all individuals in a population have equal reproductive success. survival and reproductive success are variable among individuals in a population. some trait differences are heritable. individuals in a population vary in the traits they possess. When formatting documents, ____ settings determine where text begins on a line in relation to the left margin? I have the answer but I have to show work help?the circled is the question and the uncircled is the simplified answer, or so I'm told. to mix solid fat into dry ingredients with a pastry blender, is called what ? What was thw direct cause of US involvement in WWII Four different beverages are sold at a fast-food restaurant: soft drinks, tea, coffee, and bottled water.a. explain why the type of beverage sold is an example of a categorical variable.b. explain why the type of beverage sold is an example of a nominal scaled variable. What are the comparative strengths and weaknesses of the two hypotheses little mito? 7) Which early culture ruled the area that would later contain the Inca capital?(1 point) a) Chavin b) Huari c) Nazca d) Tiahuanaco Vosotros ___________________ al restaurante sin Angela.a.fuistec.fueronb.fuisteisd.fuimos The ratio of the number of fiction books to the number of reference books in a library is 9:5. What is the fraction of the books are reference books? Explain how you would find the difference of - 45 and - 60 What is the best way to dress for an outdoor trip in cold weather answers? When the amount of water in a glass slowly decreases, this is due to _____? The situation that is best modeled by a discrete graph is Select all that apply.Sinclair Lewis resembled _____.Edith WhartonWilliam FaulknerJohn Don PassosBooth Tarkington HELP PLEASE!! GIVE EXPLANATION! 15 PTS!!What is the value of p?10p+5=18p62 A. 8 B. 18 C. 4 D. 8 what is the correct definite article for Chica? Parties more interested in managerial accounting data than in financial accounting data include Steam Workshop Downloader