Answers
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Related Questions
what is y= (5x+7) (2x+3) in standard form and identify values of a,b,c
Answers
Answer:
y = (5x+7)(2x+3)
= 10x^2 +14x+15x+21
= 10x^2 +29x+21
a= 10 b=29 c=21
How much change from a $100 bill would you receive if you bought 6 concert tickets at $15.99 each?
$95.94
$15.99
$4.06
$1.23
Answers
Answer:
$4.06
Step-by-step explanation:
15.99 times 6 is 95.94
so subtract that from 100 and you get 4.06 so C will be you answer :)
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.
Answers
Answer:
a = 16
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then the median is the average of the 2 values either side of the middle
a + 1 , 2a - 1 , a + 7 , 3a + 4
↑ middle
Then
[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )
3a + 6 = 54 ( subtract 6 from both sides )
3a = 48 ( divide both sides by 3 )
a = 16
A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answers
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
The value of y is directly proportional to the value of x.
If y = 12 when x = 15, what is the value of x when y = 40?
A.
12
B. 32
C.43
D.
50
Answers
Answer:
D
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 12 when x = 15
12 = 15k ( divide both sides by 15 )
0.8 = k
y = 0.8x ← equation of proportion
When y = 40 , then
40 = 0.8x ( divide both sides by 0.8 )
50 = x → D
ms.ngoc class has 25students. There are 13 girls and 12 boys. If a student is selected at random, what is the probality of not selecting girl
Answers
Answer:
48% of selecting a male 52%of selecting a female
Step-by-step explanation:
I need to find coordinates of Q please help!!!
Answers
Answer:
(4,3)
Step-by-step explanation: go right because it is positive to 4 and up because it is positive to 3
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answers
D the number is fewer than 4
Sophie can cut Two-fifths ft piece from a 4 ft length of wood.
Answers
Answer:
she can cut 2/20=18 left
Step-by-step explanation:
Answer:
the anser is 10 edge 2022
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answers
4(6t-4)
24t-16
Help pls! This is timed
Answers
Answer:
c. is correct
Step-by-step explanation:
hipe its attachments
0.009 ÷ 0.08 please help me I forgot how to divide decimals
Answers
Answer: 0.1125
Step-by-step explanation:
To divide decimals, you move the decimal (.) to the end.
In this case of 0.009 /0.08,
you move the period in 0.08 to the end so it become 8.
And since you moved it two spaces to the right, you do the same for the 0.009 (you move the period 2 spaces to the right), so it becomes 0.9
Then you divide.
Hopefully, that makes sense.
An online clothing company sells custom sneakers. The company charges $26.50 for each pair of shoes and a flat fee of $3.99 for shipping. Write a linear function that represents the total cost, y, in dollars, for a single order of x sneakers.
Answers
Answer:
6.50x + 3.99
Step-by-step explanation:
Every order of sweat shirts is charged $3.99
Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.
What is the slope of the line ( part 2 )
Answers
Answer:
-1/2
Step-by-step explanation:
Evaluate.
(−1/3+0.3(−1/3)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
Answer: 1.133333
Step-by-step explanation:
The value of the expression [tex]\frac{17}{15}[/tex] .
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. Fraction questions in mathematics frequently require lengthy calculations and complicated sums. Some pupils find it more challenging and require more time to solve. But don't worry—there is a solution for you in this article on math simplification. It will assist you in finding simple ways to simplify fractions. You'll discover what simplification is, how and where to simplify fractions, and the procedures involved in simplifying fractions in this article. Additionally, you'll learn the exact steps to take.
Here, do normal simplification using BODMAS rule.
Hence, the required value is [tex]\frac{17}{15}[/tex]
Learn more about simplification from given link
https://brainly.com/question/432678
#SPJ2
can someone PLEASE tell me the answer to this?
Show your work and explain please :D
Answers
Answer:
6ft: 25.667ft / 7ft: 22ft
Step-by-step explanation:
Since the question shows 7ft but the diagram shows 6ft I will show how to do both
FOR 6FT
Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft
Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x
6/28 = 5.5/x
6x = 154
x = 25.667ft
FOR 7FT
Same process as before, replace 6 with 7
7/28 = 5.5/x
7x = 154
x = 22ft
Write an equation for the line in the given form.
the slope is 4 and (−4, 5) is on the line; point-slope form
Answers
Answer:
y - 5 = 4(x + 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (-4, 5)
Slope m = 4
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - 5 = 4(x - -4)[Order of Operations] Simplify: y - 5 = 4(x + 4)Please help, I would really appreciate it.
Answers
PLEASE HELP GIVING BRAINLIEST :)
Answers
Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9. She marks up the candles 85%. How much does Jalisa charge per candle?
Answers
Answer:
$16.65Step-by-step explanation:
How much does Jalisa charge per candle?
$9 + 85% =$9 + $9*85/100 =$9*1.85 =$16.65If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?
Answers
f(2a)= 10+1/10-1
=11/9
What is the solution to the equation 4 = 6? y = 1 y = 4 y = 500 y = 2000.
Answers
Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?
Answers
Answer:6
Step-by-step explanation:
Solve the angles of this parallelogram
Answers
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
Can someone please help me please!!
Answers
Answer:
137 i am sorry if incorrect
Step-by-step explanation:
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
Answers
What is the distance between (-8, -1) and (-4, -9)?
Answers
Answer:
The distance formula between two points is
D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2
Whereas
d is distance
So in this case
(-8, -1)
(-4, -9)
x2 is -4
x1 is -8
y2 is -9
y1 is -1
Now we plug them in
d= √(-4 + 8)^2 + (-9+1)^2
Now solve
it’s about
8.94427
what is 5 minutes to four and how?
Answers
Answer:
4 minutes to 4 is actually 3 56 am or pm
Step-by-step explanation:
it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock
I NEED ANSWER ASP PLEASE
Answers
Answer:
n=72x9
Step-by-step explanation:
Because Marley is 9x as much, so that's 72x9.
The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW?
Answers
Answer:
Since you do not explicitly give any formal restrictions on whether or not the dimensions must be integers, nor any relation with the width dimension. I found a solution with height equally to 20.768cm × width (19.768cm) × length (73.072 cm) Multiplying this together, we get 30,000 cubic cm