Answer:
1) y = (x-3)²-12
2) y = 5(x-2)²-9
Step-by-step explanation:
Given the quadratic expressions
y=x²-6x-3
We are to transform it in the form y=ax²+bx+c
y=(x²-6x)-3
Complete the square of the expression in parenthesis
y = (x²-6x + (6/2)² - (6/2)²)-3
y = (x²-6x+3²-3²)-3
y = (x²-6x+9-9)-3
y = (x²-6x+9)-12
y = (x²-3x-3x+9)-12
y = x(x-3)-3(x-3)-12
y = (x-3)(x-3)-12
y = (x-3)²-12
Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12
For the quadratic equation
y=(5x²-20x)-5
y = 5(x²-4x)- 5
Complete the square of the expression in parenthesis
y = 5(x²-4x+4-4)- 5
y = 5(x²-4x+4)-9
y = 5(x-2)²-9
Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9
Your are on a roller coaster that begin 1/5 mile above ground. The roller coaster descends 1/2 mile. What is the roller coatser new location after descending
Answer:
Roller coaster is 3/10 miles in ground.
Step-by-step explanation:
Given:
Height at point = 1/5 mile
Descends height = 1/2 miles
Find:
Current location
Computation:
Current location = Height at point - Descends height
Current location = 1/5 - 1/2
Current location = -3/10
So,
Roller coaster is 3/10 miles in ground.
agenthammerx please help What is BPEMDAS
Answer:
BPEMDAS is the order of operations that every mathematician must follow.
General Formulas and Concepts:
Order of Operations: BPEMDAS
1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction
- Left to Right
Step-by-step explanation:
When we are given an evaluative expression, we must follow Order of Operations: BPEMDAS to evaluate the given expression. Here’s an example:
[2 + (4 / 2)] * 10
Evaluating this:
1. [Brackets] (Parenthesis) Divide: [2 + 2] * 10
2. [Brackets] Add: 4 * 10
3. Multiply: 40
Here we see that we use Order of Operations: BPEMDAS to evaluate a given expression.
PLS HELP!!
Pls help it’s due today!!!!
Answer:
the last on bottom right :)
Step-by-step explanation:
Answer:
D (bottom right)
Step-by-step explanation:
y - intercept is 7 and slope is 3
Hope this helps. Pls give brainliest.
The radius of a circle is 8 yards. What is the circle's area?
Answer:
201.06 trust me
Step-by-step explanation:
تفتطع شركة الهاتف مبلغ (275) درهم إماراتي كاشتراك شهري بالإضافة لمبلغ (150) درهم إماراتي كرسوم لتفعيل الخدمة تدفع لمرة
واحدة.
اكتب تعبيرا يميل التكلفة الإجمالية لرسوم شركة الهاتف حيث (m) تمثل عدد الأشهر.
EXCUSE ME write IN ENGLISH LANGUAGE WE DONT UNDERSTAND YOUR question
Solve the equation. −2+j=−22
Answer:
j = - 20
Step-by-step explanation:
-2 + j = -22
-2 + 2 + j = -22 + 2
j = - 20
j= -20 hope that helped
Which equation describes the line with slope 5 that contains the point (-2,4)?
(Question 20)
Answer:
4x-3
Step-by-step explanation:
Bc i said so
what is 100000x5+900-705=?
Answer:
500195
Step-by-step explanation:
The required value of the given expression 100,000 × 5 + 900 - 705 is 500,195.
The expression is given as follows:
100,000 × 5 + 900 - 705
To evaluate the expression 100,000 × 5 + 900 - 705, we follow the order of operations (also known as PEMDAS). Here's how we can solve it step by step:
Perform the multiplication: 100,000 × 5 = 500,000.
Add the result from the multiplication to 900: 500,000 + 900 = 500,900.
Subtract 705 from the previous result: 500,900 - 705 = 500,195.
Therefore, the value of the expression 100,000 × 5 + 900 - 705 is 500,195.
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
#SPJ6
Find the width w of a box with volume V = 120 cm3, l = 3 cm and h = 5 cm.
Answer:
8
Step-by-step explanation:
the volume of a box is L x W x H
so if you take the length x height, you can divide the volume by that to get your width.
hope this helps!! :)
The width of the rectangular box will be; 8cm
What is the volume of a rectangular box?Given that the formula for calculating the volume of a rectangular box is expressed as:
V= w l h
Where L is the length
w is the width
h is the height
Given the following parameters;
Length l = 3 cm
Volume V = 120cm³
Height = 5cm
Find the width of the box as :
V= w l h
120 = w x 3 x 5
w = 120/ 15
w = 8
Hence, the width of the rectangular box will be 8 cm.
Learn more about rectangles here;
https://brainly.com/question/15019502
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Please help with question 6 (last one)❤️
Answer:
14
Hope this helps
Step-by-step explanation:
yw
Answer:
First choice, 13
Step-by-step explanation:
1/16 times 208 = 208/16 = 13
A dairy cow can fill a ½ gallon container every ¼ of an hour. At this rate, how many gallons can it fill in five hours?
Thomas and Audrey ordered 1 salad for $8, 2 pizzas for x dollars each, and 2 glasses of juice for $3 each. Their total cost in dollars can be represented by the expression 8 + 2 ( x + 3) . Which expression is equivalent to 8 + 2 ( x + 3)?
Graph x≥2.
A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.
A graph showing a range of negative three to two on the x and y axes. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
A graph showing a range of negative three to two on the x and y axes. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.
A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends that passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
Answer:
The graph is attached
x ≥ 2Covers the shaded space to the right from solid vertical line x = 2, which is parallel to y-axis
Option C is likely the answer
A graph showing a range of negative three to two on the x and y axes. A solid line with arrows at both ends passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the right of the line.Answer:
The answer is option C.
Just finished the test lol. Good luck!
What is the x -value of the solution to this system of equations?
x = 2 y − 4
7 x + 5y = −66
Answer:
It’s either a or b on edge
Step-by-step explanation:
Naveen is a video game designer creating a new video game in the racing genre. Outline the elements of the game that Naveen will focus on in his design.
Answer:
Hi
Step-by-step explanation:
it will be C
0.6 is...
a. irrational because it is a repeating decimal b. irrational because it can't be written as a fraction
c. rational because it can be written as a fraction d. rational because it is a decimal that goes on forever without repeating
You buy 3 bags of sand and 2 bags of pea gravel for $21. In a second purchase (at the same prices), you buy 2 bags of sand for $10. Let x represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel.
Answer:
the slope for your graph will be 3/5x
Step-by-step explanation:
in order to get our answer first we must use equations to find how much money a bag or pea gravel/sand then we can use this to make our graph.
Look at the demonstation I've shown you
356 kilograms of flour were packed into sacks holding 2 kilograms each. How many sacks were packed?_____sacks.
Answer:
178 should be the right answer
Step-by-step explanation:
356 divided by 2
Use the graph that shows the solution to f(x) = g(x).
f(x) = 27* - 4
g(x) = 2x² - 4
f(x)
-2
What is the solution to f (x) = g(x)?
Select each correct answer
9(X)
x = -1
x = 0
X = 1
913
-3 -2
x=2
13
f(x)
3
4
5
7
8
Finish
Answer:(9X+3Y
Step-by-step explanation:
MULTIPLY BY 4
a carpenter sands 1/2 of a dresser in 3/4 of an hour. At this rate, how long does it take the carpenter to sand 1 dresser
Answer:
hour and a half
Step-by-step explanation:
Preston started the summer owing $15 to his brother and $20 to his sister. He earned $75 mowing lawns, and paid his brother and sister back what he owed them. Which expression represents the amount of money that Preston has after paying back his brother and sister?
Answer:
$75 - $15 - $20 = $40
Step-by-step explanation:
Given that:
Money owed by Preston to his brother = $15
Money owed by Preston to his sister = $20
Total money earned by Preston = $75
Now, the money is paid back that he owed to his sister and brother.
To find:
The expression to represent the amount of money left with Preston after clearing all his dues?
Solution:
Once Preston pays back the money that he owed to his brother and sister, he will not have all $75 left with him.
He will have lesser amount of money.
Money left with Preston = Total money earned by Preston - Money owed to brother - Money owed to sister
Putting the values given as per the question statement, we get:
Money left with Preston = $75 - $15 - $20 = $40
Therefore, the expression to represent the amount of money left with Preston = $75 - $15 - $20 = $40
Pls help it for a final. I put picture
How many atoms sodium would a 4 mole sample of Na3P have?
400 atoms
O 7.22 x 10^24 atoms
0 2.41 x 10^24 atoms
O 1.99 x 10^-23 atoms
10 ni
2 × 10²⁴ atoms Na₃P
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightChemistry
Atomic Structure
Using Dimensional AnalysisAvogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.Step-by-step explanation:Step 1: Define
4 mol Na₃P
Step 2: Identify Conversions
Avogadro's Number
Step 3: Convert
[tex]\displaystyle 4 \ mol \ Na_3P(\frac{6.022 \cdot 10^{23} \ atoms \ Na_3P}{1 \ mol \ Na_3P} )[/tex] = 2.4088 × 10²⁴ atoms Na₃P
Step 4: Check
We are given 1 sig fig. Follow sig fig rules and round.
2.4088 × 10²⁴ atoms Na₃P ≈ 2 × 10²⁴ atoms Na₃P
In a cricket match, Rajat scored thrice as many runs as Devansh.
Together they fell short of 8 runs of a triple century. Find their scores.
Answer:
let jivesh score x runs so rajat scores 3x runs
total runs = 300-8 = 292 runs
so x+3x = 292
4x = 292
x = 292/4
x = 73
so jivesh score 72 runs and rajat scores 216 runs
Step-by-step explanation:
Answer:
73 for Devanesh. 219 for Rajat
Step-by-step explanation:
If a triple century is 300 then 300-8 = 292 runs that they made. They made a total of 3t+t=292. Means 4t=292. Means t=73. So 73 is the runs for Devanesh.219 for Rajat.
A triangle has squares on its three sides as shown below what is the value of x
Answer:
5 cm
Step-by-step explanation:
Change the word sentence into a mathematical equation. Tell what each variable represents.
1. A music club membership costs $17.00 and $7.00 per CD.
2. The total cost of a carpet is $3.00 times the number of square feet.
3. The amount of money you earn for allowance is $20 times the number of months.
4. The cost of belonging to a fitness club is $200 to join and $30 a month in membership dues.
Answer:
1. $17 + $7C.
This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.
2. $3A.
This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.
3. $20M.
This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.
4. $200 + $30M.
This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.
Step-by-step explanation:
Hope this helped!
WILL MARK BRAINLIEST IF CORRECT!
SOMEONE HELP I WILL KISS U!!!!! NEED THIS EXTRA CREDIT DONE BY MIDNIGHT!!
Answer:
A, C, D, F, G
Explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. :D
Christina must run around the rectangular soccer field during practice. The football field It measures 60 meters long by 45 meters wide. How far did Christina run?
Answer:
210 meters
Step-by-step explanation:
Amy has $250 in her account. She withdraws (take out) $25 each week. Mary has $100 in her account. She deposits $15 each week. After how many weeks will they have the same amount?
Answer:
16 weeks
Step-by-step explanation:
250 divided by 15