Answers
So the minimum value is y = -31. Dunno if -31 or you have to type =-31, I guess just '-31'?
With derivatives:
y' = 2x+12=0, x = -6, then y(-6) = 36-72+5 = -36+5 =-31
Just to be sure!!!! lol
Step 1: Figure out if the parabola is going up or down. If "a" is positive, the parabola will go up. If "a" is negative, the parabola will go down. In your case...
a = 1
Positive
Up
____________________________________________________________
Step 2: Find the Axis of Symmetry.
Formula: -b -12 -12
--------- = ------------ = ------------- = -6
2a 2(1) 2
The axis of symmetry is x = -6.
____________________________________________________________
Step 3: Plug in the value you found for the axis of symmetry for x into your original equation.
f(-6) = -6² + 12(-6) + 5
f(-6) = 36 - 72 + 5
f(-6) = -36 + 5
f(-6) = -31
The minimum gets written as an ordered pair: (-6,-31).
⊕ The axis of symmetry is the first number in the coordinate pair.
⊕ The answer that you get to step 3 is the second number in the pair.
____________________________________________________________
I hope that my answer helps you! This is the method that I use to solve these types of problems, but there are also other methods.
Related Questions
find the mean of the data
Answers
117/9=13
Final answer: 13
Hello There!
Mean: Average of numbers in a set of data.
STEP 1: Add the numbers in the data set. In this case, you would add
10 + 11 + 12 + 13 + 14 + 14 + 14 + 14 +15
Step 2: Divide the sum by the number of digits you added.
In this case you would divide 117 by 9 and you will get a quotient of 13
ANSWER
THE MEAN OF THE DATA IS 13
PLEASE HELP!! 18 POINTS
16.
(08.06 MC)
A zoo train ride costs $5 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 17, and the total money collected was $65. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers? (1 point)
5 childrenand 12 adults
Equation 1: a + c = 17
Equation 2: 5a – c = 65
12 childrenand 5 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65
12 childrenand 5 adults
Equation 1: a + c = 17
Equation 2: 5a – c = 65
5 childrenand 12 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65
Answers
This equation is correct because adult tickets cost five dollars (5 per adult) and childrens tickets cost one dollar (one per child), which need to be added together to get the total.
What value of x is in the solution set of 2x – 3 > 11 – 5x?
Answers
2x - 3 > 11 - 5x
2x > 14 - 5x <-- Add 3 to both sides
7x > 14 <-- Add 5x to both sides
x > 2 <-- Divide both sides 7
In order to be in the solution, x has to be greater than 2.
In interval notation: (2, ∞)
In set builder notation: {x | x ∈ R, x > 2}
NEED HELP FAST!
3.
The coordinate grid shows the graph of four equations:
Which set of equations has (5, 0) as its solution? (5 points)
A and B
C and D
B and D
A and D
Answers
Answer:
the answer is a and bbecause they both cross at (5,0)
Match the solution set of each of the following inequalities with its graph.
Answers
The following inequalities with its graph are:
For graph 1: x≤-2,
For graph 2: x≥2,
For graph 3: x≥2,
For graph 4: -2<x
For graph 5: x<2
Inequality is defined as a relationship between two expressions or values that are not equal to each other.
A number line is a representation of real numbers in the form of a graduated straight line.
The solution for the first graph is x less than or equal to -2.
1. x≤-2
The solution to the second graph is x higher than or equal to 2
x≥2
In the third graph, the solution x is greater than or equal to 2
x≥2
The solution x in the fourth graph is greater than -2.
x>-2 or -2<x
The solution x in the fifth graph is smaller than 2.
x-2<0
x<2
As a result, the inequalities for the respective graphs are x-2, x2, x2, -2x, and x2.
What can be concluded from observing a 45-degree angle translated across the y-axis three times ?
Answers
A packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms. What is the probability that Dustin will choose a green apple sour worm, P(green apple)?
Answers
April works as a courier delivering and picking up packages for a shipping company. Three of the communities on her route form an isosceles right triangle as shown in the figure. There are approximately 48 miles between Old Mill and Clarksville and between Clarksville and Hamilton. Approximately how many miles are there between Old Mill and Hamilton? Round your answer to the nearest mile if necessary.
Answers
There will be two angles, equal to 45°, and a 90° angle as shown in the figure below.
The distance from Old Mill is the same as the distance from Clarksville to Hamilton, equal to 48 miles.
Let x = distance between Old Mill and Hamilton.
By definition,
cos 45° = 48/x
or
x = 48/cos 45° = 67.882 mi
Answer: 68 miles (nearest mile)
A $129.50 stereo is discounted 40%. The next month, the sale price is discounted 60%. is the stereo now "free"? If not, what is the sale price?
Answers
0.60(129.50) = 77.70....1st discounted price
discounted 60% means u r paying 40%
0.40(77.70) = 31.08 <=== sale price
At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the beach have blue towels
Answers
✯1 - (0.29 + 0.18) = 0.53
✯ 0.53 = 53%
✯Thus your answer: 53% of people on the beach have blue towels.
jim says that the output of the floor function is the number before the decimal point in the input. For what domain is Jim’s statement correct? Justify your answer.
Answers
Jim’s statement is correct for all numbers greater than or equal to 0 and negative integers. It does not work for negative non-integer numbers.
Step-by-step explanation:
Given :
The output of the floor function is the number before the decimal point.
Solution :
Jim’s statement is correct for all numbers greater than or equal to 0 and negative integers. It does not work for negative non-integer numbers.
For example, the floor of –5.5 is –6, the floor of -4.5 is -5 (the number before the decimal point).
For more information, refer the link given below
https://brainly.com/question/13666156?referrer=searchResults
The floor function outputs the number before the decimal point for non-negative real numbers.
Jim's statement is correct for non-negative real numbers.
The floor function rounds down to the nearest integer, which is always the number before the decimal point.
For example, if the input is 3.8, the output will be 3.
If the input is -2.5, the output will be -3.
The average (arithmetic mean) of 5,10,15 and x is 20..What is the x ?
Answers
[tex]20=\frac{5+10+15+x}{4}[/tex]
[tex]80=30+x[/tex]
[tex]x=50[/tex]
Answer:
x = 50 .
Step-by-step explanation:
Given : Mean of 5,10,15 and x is 20.
To find : What is the x.
Solution : We have given Mean of 5, 10 , 15 and x is 20.
Mean = 20 .
Mean = [tex]\frac{sum\ of \ data}{Number\ of \ data}[/tex].
Mean = [tex]\frac{5+10+15 +x}{4}[/tex].
20 = [tex]\frac{30 +x}{4}[/tex].
On multiplying both sides by 4
20 * 4 = 30 + x .
80 = 30 + x .
On subtracting both sides by 30.
50 = x
Therefore, x = 50 .
Describe how to transform this into an expression with a rational exponent. Make sure you respond with complete sentences.
[tex] \sqrt[3]{x^4} ^{5} [/tex]
Thank you !
Answers
Rational exponent is an exponent that is fractional in form. Let us dissect this one by one.
An n root means that the number or the variable has a power raised 1 / n. For example, if we have a square root of x, this means that x^(1/2).
So in this case since this is cube root, therefore our total variable is raised to the power of 1 / 3.
Since it is also raised to the power of 5, therefore the total power is 5 / 3. This makes the variable in the form:
(x^4)^(5 / 3)
To simplify this further, our variable x is raised also to the power of 4, therefore we multiply the powers. Which simplify this further into:
x^20 / 3
Answer:
x ^
(20 / 3)
or
[tex] x^{20/3} [/tex]
103,727,495 in word form and expanded form
Answers
Word form: one hundred three million, seven hundred twenty-seven thousand, four hundred ninety-five
Expanded form: 100,000,000+3,000,000+700,000+20,000+7,000+400+90+5
HOPE I HELPED YOU!
What is the 1st term when −5z2 + 7z4 + 11z − 8z3 is arranged in descending order
Answers
the largest one is the one with the biggest exponent
so the first term is : 7z^4
Answer:
7z^4
Step-by-step explanation:
Look at the exponent power. The largest exponent goes first, the second largest goes second (etc.). The number/variable with no exponent will always go last.
The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle.
Answers
Let the width of the rectsngle (b) be x
and the length of the rectangle (l) =x+4
Area of the rectangle (A)=?
Perimeter of the rectangle (P)=?
Now,
P= 2 (l+b)
= 2 (x+4+x)
= 2 (2x+4)
= 4x+8
And,
A= l×b
= x(x+4)
= x^2+4x
According to the question,
A=5P-4
or, x^2+4x =5 (4x+8)-4
or, x^2 +4x =20x+40-4
or, x^2 = 20x-4x+36
or, x^2 = 16x+36
or, x^2-16x-36 = 0
or, x^2-(18-2)x-36 = 0
or, x^2-18x+2x-36 = 0
or, x (x-18)+2 (x-18) = 0
or, (x-18) (x+2) = 0
Either, Or,
x-18 = 0 x+2 = 0
so, x = 18 so, x = -2
Taking the value of x = 18 ( Because the length is always positive)
Length = x+4 = 18+4 = 22 cm
Width = x = 18 cm
Which of the following is equal to 5 4/9
Answers
You need to cut a 9 foot piece of plywood into 12 inch sections. Every cut also removes 1/8 inch. How many 12 inch sections can you get out of the 9 foot piece of plywood?
Answers
Jaime has 6 cups of milk. Each batch of cookies she is making will require 3/4 of a cup of milk. How many batches of cookies can Jaime make with milk she has?
Answers
6 * 4/3 =
24/3 =
8 batches of cookies can be made with 6 cups of milk
Answer:
8
Step-by-step explanation:
NEED DONE NOW!!!!!!
Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.
Answers
The company can find where to place the tower by determining the point of concurrency of these three (3) towns.
What is a triangle?A triangle refers to a two-dimensional shape that is typically made up of three (3) sides, three (3) vertices and three (3) angles. This ultimately implies that, a polygon that has three (3) lengths of sides is a triangle.
What is a point of concurrency?A point of concurrency can be defined as a single point that is shared by three (3) or more lines, segments, rays, or planes. Thus, a triangle is considered to be concurrent when at least three (3) lines intersect at a single point.
Based on geometry, the point (circumcenter) that is equidistant from the vertices of the triangular tower would be equal in distance from each of the centers of these three (3) towns.Generally, the circumcenter of a triangle can easily be determined by constructing the point of concurrency of the perpendicular bisectors of a triangle.In conclusion, the company can find where to place the tower by determining the point of concurrency of these three (3) towns, so that they all have the same distance from the centers.
Read more on point of concurrency here: https://brainly.com/question/11844452
Answer:
For the tower to be the same distance from each of the centers, the company must find the point that is equidistant from the vertices of the triangle. This is the circumcenter of the triangle and can be found by constructing the point of concurrency of the perpendicular bisectors of the triangle.
The tower needs to be equidistant from the vertices of the triangle.
The tower should be placed at the circumcenter of the triangle.
To find the circumcenter, find the intersection point of the three perpendicular bisectors of the triangle.
Step-by-step explanation:
2.8 in expanded form
Answers
The polnomial y=x^2-2x+1 has a repeated factor? True or false
Answers
49pts and brainliest i need this in by 2:33
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately?
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answers
Answer: A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
If a box plot is drawn with end points at 24 and 49, and the box extends from 28 to 44 and a vertical line is drawn inside the box at 34, it would show all data accurately and precisely.
An acrobat of mass m slides down a vertical rope of height h. For the first three quarter of her descent she grips the rope with her hands and legs so as to produce a fictional force equal to five-ninth of her weight.she then tighten her grip so that she comes to rest at the bottom of the rope. Sketch a (t .v) graph to illustrate her descent
Answers
The acrobat's descent on a time versus velocity graph would show an initial linear increase in velocity due to gravity minus frictional force, followed by a sharp negative slope as she comes to a stop at the bottom.
The acrobat's descent can be analyzed by plotting a time (t) versus velocity (v) graph. Initially, the acrobat experiences a frictional force equal to five-ninths of her weight, which creates constant deceleration. For the first three quarters of the descent, her velocity will increase linearly (assuming constant deceleration) until she tightens her grip, which will cause a sharp decrease in velocity until she comes to a complete stop at the bottom. The graph would show a slope that decreases in magnitude over time and then drops to zero when the acrobat comes to rest.
Example Graph Description:The graph starts at the origin (0,0), indicating that the descent starts from rest.As time progresses, the velocity increases linearly due to the effect of gravity partially opposed by frictional force.Before reaching the bottom, the acrobat applies enough force to stop, leading to a sharp negative slope on the graph that touches the t-axis, indicating a stop.Write the number in scientific notation.0.00000184
Answers
= 1.84 x 10^-6
hope it helps
Can someone help me in graphing
Answers
X | Y = 5/4x-2
____
0 | -2
4 | -1
Two pints enough for a line!
Same with the other one (it's parallel and one unit below)
Simplify. Rewrite the expression in the form of 5^n. What is 5^-5\5^8.
Answers
so
[tex] \frac{5^{-5}}{5^8}=5^{-5-8}=5^{-13} [/tex]
For which value of x should the expression be further simplified
√14x
56
11
5
Or 39
Answers
because it could be simplified to 28 where as the others would become decimals
The weight of an African elephant is 6x10^6 grams; the weight of a tiger is 3x10^5 grams. How many times heavier is the elephant than the tiger?
Answers
elephant= x times tiger
6 times 10^6=x times 3 times 10^5
divide both sides by (3 times 10^5)
remember that (x^m)/(x^n)=x^(m-n)
so
(6 times 10^6)/(3 times 10^5)=x
(6/3) times (10^6)/(10^5)=x
2 times 10^1=x
2 times 10=x
that would be 2 times 10^1 or 20 times
How many whole numbers between 99 and 999 contain exactly one 0?