Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answer: the number -5 is a real number
Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.
Hope this helps!
Answer:
the number -5 is a real number
Step-by-step explanation:
-5n-3(n+2)=18
what is n?
Please show all work
Answer:
n=-3
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Ben and Ella are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Ella filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?
Answer:
Ben
Step-by-step explanation:
25 goodies = 20 minutes
27 goodies = 24 minutes
Let's use ratio, divide both of them by their minute
25/20 = 20/20
27/24 = 24/24
1.25 goodies = 1 minute
1.12 goodies = 1 minute
1.25 is bigger than 1.12.
Answer:Ben
Step-by-step explanation:
people wont solve my question i need it ASAP
Answer:
A pig has 10,000 kg mass more than a mass
Step-by-step explanation:
[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]
help TWT ;-;-;-;-;-;-;
Answer:1
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation:
A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain
Answer:
Mia is incorrect. 32% of the students say climbing trees is their favorite.
Step-by-step explanation:
Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100
Number of students that chose climbing trees = 8
Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25
Therefore,
% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].
Mia is wrong.
32% say climbing trees is their favorite. NOT 40%.
When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:
Answer:
45mL hot cocoa is more chocolateyStep-by-step explanation:
When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.
20mL = 3 ounces
x = 1 ounce
cross multiply
3x = 20
x = 20/3
x = 6.67 mL
This means he must have add 6.67mL of chocolate to 1 ounce of water.
Similarly, if 45mL is added to every 6 ounces
45mL = 6ounces
x = 1 ounce
cross multiply
6x = 45
x = 45/6
x = 7.5mL
This means he must have add 7.5mL of chocolate to 1 ounce of water.
The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa
Answer:
eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|
Step-by-step explanation:
EASY You make a salad to share with friends. Your sister eats 1/3 of it before your friends arrive. You want to divide the leftover salad evenly among six friends. Which expression describes the situation? *
A. 6 ÷ 2/3
B .2/3 ÷ 6
Answer:
b
Step-by-step explanation:
Answer:
I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)
Step-by-step explanation:
· Evaluate f(2a + b), where f(x) = 4x2 – 3x.
Answer:
2af+bf = 2af+bf
Step-by-step explanation
f(x) = 4x2 – 3x. = x(4x−3)
2 5. 8 11 X 2 -4 8 у 14 What is the equation of the given table?
Answer:
8-6+-2
Step-by-step explanation:
A bakery sold a total of 500 cupcakes in a day, and 93% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)
Answer:
y = 3 x − 29
Step-by-step explanation:
First, let's find the slope of the line
y = 3 x + 2
As the equation is already in slope-intercept form
y = m x + c
Slope = 3
Let a point ( x , y ) be on the new line.
By finding the slope again,
y − 1 x − 10 = 3
y − 1 = 3 ( x − 10 )
y − 1 = 3 x − 30
Which can then be converted to different forms:
Standard form:
3 x − y = 29
Equation form:
3 x − y−29 = 0
Slope-intercept form:
y = 3 x − 29
graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}
Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?
Can someone please help
Answer:
( -1 , 0.5)
Step-by-step explanation:
Write 2.08 x 10^2 in standard form.
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
Learn more about Scientific notation here:
https://brainly.com/question/1740231
#SPJ2
if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet
Answer:
300 dollars
Step-by-step explanation:
Multiply 10 feet by 12 feet to get the total number of feet needed
10x12=120 feet
120 times $2.5= $300
The cost to carpet a rectangular floor is $300.
Given that,
The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feetBased on the above information, the calculation is as follows:
[tex]= 10 \times 12 \times \$2.50[/tex]
= $300
Learn more: brainly.com/question/17429689
2(5x+5) + 9(x-10) + 9-squared
Step-by-step explanation:
We'll use BODMAS to solve this
Open the brackets :
2(5x+5)+9(x-10)+9sq = 10x+10+9x-90+81Then we arrange them accordingly :10x+9x+10-90+81 We then calculate :19x+10-90+81BODMAS :19x+91-90 = 19x+1ANSWER :19x+1what is $3 as a decimal
Answer:
3.00
Step-by-step explanation:
Answer:
3.00
Step-by-step explanation:
Since three is a whole number, that means it would be in front of the decimal.
EASY MATH QUESTION PLEASE I NEED HELP!
Answer:
x=8/3
Step by step
determine the defined range
remove parentheses
move the terms
collect like terms and calculate
divide both sides
A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?
Answer:
Profit = $18.8 per meal
Step-by-step explanation:
Chef ordered beef = 4 pounds
Cost of beef = $3.25 per pound
Total cost of beef = 4 × 3.25 = $13
Amount of potatoes ordered = 6 pounds
Cost of potatoes = $1.96 per pound
Total cost of potatoes = 6 × 1.96
= $11.76
Amount of carrots ordered = 5 pounds
Cost of carrots = $1.81 per pound
Total cost of carrots = 5 × 1.81 = $9.05
Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05
= $33.81
Number of meals prepared with material purchased = 28
Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075
Selling price of one meal = $20
Profit per meal = Selling price - Cost price
= 20 - 1.2075
= 18.7925
≈ $18.8
Therefore, he will make $18.8 for each meal.
)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month
Answer:
Stefan should rent a phone accessory store
Step-by-step explanation:
The given information are;
The total of the estimated income and expenses are given as follows;
Sales
Type [tex]{}[/tex] Amount [tex]{}[/tex] Frequency
Sales [tex]{}[/tex] $ 950 [tex]{}[/tex] Each week
Services [tex]{}[/tex] $2,875 [tex]{}[/tex] Each month
Rent [tex]{}[/tex] -$4,500 [tex]{}[/tex] Each month
Travel [tex]{}[/tex] -$7.50 [tex]{}[/tex] Each day
Merchandise [tex]{}[/tex] -$1,650 [tex]{}[/tex] Each month
Therefore;
Total sale = 4×950 = $3,800
Total services = $2,875
Total income = $3,800 + $2,875 = $6,675
Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375
Total profit = Total income - Total expenses = $6,675 - $6,375 = $300
Therefore, the net profit = $300.
Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.
for how many tickets is the cost the same for club members and non-members?
Answer:
The cost will be the same for 2 club members as for 1 non-member.
Step-by-step explanation:
There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.
However, if two club members purchase tickets, their cost is 2($3) = $6.
If one non-member purchases a ticket, the cost is 1($6) = $6.
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Answer: 13% increase?
Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?
Answer:
1.13
Step-by-step explanation:
A 6% decrease would be 0.94 and a 19% increase after that would be 1.13
What is 78x6 =
please let me know if you have the asers
Answer:
468
Step-by-step explanation:
and this is how you spell answers
The value of 78 × 6 is 468
What is multiplication?Multiplication is the process of calculating the product of two or more numbers. The result of multiplication is called product.
If a × b = c , this means that a and b are the factors and c is the product.
For example if each student has 5 apples and there are 100 students in the camp, the total number of apples in the camp is
100 × 5 = 500 mangoes.
Similarly, 78 × 6
= 70 × 6 + 8 × 6
= 420 + 48
= 468
Therefore the product of 78 and 6 is 468
learn more about multiplication is
https://brainly.com/question/10873737
#SPJ6
Buddy downloaded 16 apps in 24 seconds. At this rate, how many apps could he download in one minute? (24 seconds = 2/5 of a minute) (1-1 Unit Rate)
I need help what is -0.5 _ -0.2
Estimate and then solve the equation.
x − 174
5
= − 131
5
The estimated equation is
.
The estimated solution is x =
.
The actual solution is x =
.
Answer:
Estimate and then solve the equation.
x − 174
5
= − 131
5
The estimated equation is
✔ x – 18 = -13.
The estimated solution is x =
✔ 5.
The actual solution is x =
✔ 4 3/5.
Hope this helps!
edugenuity
A can run 3 miles in 30 minutes. How long will it take
the runner to run 2.5 miles? Use the diagram to explain.
Answer:
It will take her about 25 minutes.
Step-by-step explanation:
30 divided by 3 is ten.
It takes ten minutes to run each miles.
I don't have a diagram, but try drawing a graph with the information.
what is the answer for −3x−6+(−1)
Answer:
-3x-7
Step-by-step explanation:
Combine like terms
-6+-1 = -6-1 = -7
Hence, it's -3x-7