Answers
Answer:
(a) Local Maximum (x,y) = (0,12)
Local Minimum (x,y) = (-9,6) (smaller x-value)
Local Minimum (x,y) = (6,3) (Larger x-value)
(b) Increasing = [tex](-9,0)\cup (6,\infty)[/tex]
Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]
Step-by-step explanation:
(a)
Local Maximum: The function gives maximum value in small neighborhood.
From the given graph it is clear that the maximum value of the function is 12 at x=0. So,
Local Maximum (x,y) = (0,12)
Local Minimum: The function gives minimum value in small neighborhood.
It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,
Local Minimum (x,y) = (-9,6) (smaller x-value)
Local Minimum (x,y) = (6,3) (Larger x-value)
(b)
The function is increasing on -9<x<0 and after 6.
Increasing = [tex](-9,0)\cup (6,\infty)[/tex]
The function is decreasing on 0<x<6 and before -9.
Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]
Related Questions
A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute
Answers
Answer:
D: Acute triangle
Step-by-step explanation:
First check whether this could be a right triangle. Using the Pythagorean Theorem, we get:
5^2 + 6^2 = ? = 7^2 This equation is not true, and therefore the triangle is not a right triangle.
The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute. Answer D is correct: This is an acute triangle.
Answer: D) Acute
Step-by-step explanation:
Trying to find the missing segment to the triangle in the attached image.
Answers
Answer:
44 units length
Step-by-step explanation:
The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:
20/10 = x/22
20/10*22 = x
44 = x
Zack's science class is learning about ways to find the volume of irregularly-shaped objects. For his first experiment, Zack finds that a small marble statue weighs 1.3 kilograms. Then, he uses its density to find its volume in liters. If the density of marble is approximately 2.6 grams per milliliter, what is the volume of Zack's statue?
Answers
Answer:
The volume of the small marble is 500ml or 0.5 liters
Step-by-step explanation:
Mass of the small marble = 1.3kg
Convert it into grams
Mass of the small marble = 1300 grams
Density of the small marble = 2.6 grams/ml
Volume of the small marble = ?
The formula for density is given as:
Density = Mass / Volume
Where we need to find the volume, so rearrange the equation with respect to Volume.
Volume = Mass / Density
Volume = 1300 (grams) / 2.6 (grams/ml)
Volume = 500 ml
Thus, the volume of the small marble is 500ml or 0.5 liters
A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.
Answers
Answer:
sample.
Step-by-step explanation:
It is given that a department store wants to know what motivated customers to visit their store on that particular day.
We need to fill the blank.
Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10 survey participants are male.
For survey, researchers need small part of whole data, i.e., sample.
So, the required answer is "sample".
Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10 survey participants are male.
Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.
What is a Sampling Error?A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.
To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.
Learn more about sampling errors at:
https://brainly.com/question/5137866
To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?
Answers
Answer:
30.24/16= $1.89 per gallon = c/g
Step-by-step explanation:
c = $30.24
g = 16
Divide c/g
Answer:
g gallon = $1.89 g
Step-by-step explanation:
Gallon = g
16 gallons = 16 g
Cost = $30.24
So,
16 gallons = $30.24
1 gallon = $30.24/16
1 gallon = $1.89
g gallon = $1.89 g
How many terms are in the following expression 55+ 14n -2m +3p
Answers
Answer:
4 terms
Step-by-step explanation:
There are 4 terms in the given expression:
=> 55
=> 14n
=> -2m
=> 3p
Based on the graph, what is the initial value of the linear relationship?
A coordinate plane is shown. A line passes through the x axis at negative 3 and the y axis at 5.
−4
−3
five over three
5
Answers
Answer: The slope is five over three
Step-by-step explanation:
The equation for this graph would be: y= 5x/3 +5
Answer:
5
Step-by-step explanation:
Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.
Hope this helps :)
Find the missing length indicated.
Answers
Answer:
x=65
Step-by-step explanation:
h²=25*(169-25)=25*144=3600
x²=h²+25²=3600+625=4225
x=√4225
x=65
The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.
Answers
Answer:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Step-by-step explanation:
Please, always share the instructions with every question you post. I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x. Note that there must be 5 such terms.
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
Multiplying this out, we get:
f(x) = (x + 2)(x^2 - 1)(x - 3), or
f(x) = (x^3 - x + 2x^2 - 2)(x - 3), or:
f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:
f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6
Combining like terms, we get:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4. As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.
You are playing a board game. All even numbers are positive, and all odd numbers are negative. A positive number indicates forward movement, and a negative indicates backward movement. During your last 10 turns, you have gone back 90 spaces. if you spun the same number each time which number did you spin?
Answers
Answer:
Step-by-step explanation:
We khow that a positive number means going forward whereas a negative one means going bachward positive ⇒even negative⇒oddwe moved 90 spaces back so we are dealing with a an odd number we played ten timesLet o be the number we spinned ten times :
90= 10 o0= 90/10 o=9We spinned 9 ten times
if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the range
Answers
Answer:
Range remains the same.
Step-by-step explanation:
(1,3),(-2,1),(-5,-1) and (1,-2)
The range is { -2 ≤ y≤ 3 } .
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Reflection is to create a mirror image of the coordinate or the figure.
After reflection along any axis, the coordinate of the other axis changes to its additive inverse.
(x,y) ----> when reflected along y axis ----> ( -x , y)
The domain is all the values a function can have as input and the range is all the values that a function can have.
The original coordinate changes to (-1,3),(2,1),(5,-1)and(-1,-2).
When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.
So the value of the domain changes while the range remains the same.
The range is { -2 ≤y≤3}
To know more about Transformation
brainly.com/question/11709244
#SPJ5
32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is
A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x
Answers
Answer:
B. a^2x
Step-by-step explanation:
squaring a^x gives. (a^x)²
by applying the rules of indices, ^2 multiplies x therefore making it a^2x
In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?
Answers
Answer:
Z = 8
Step-by-step explanation:
4 5/8 = 37/8
1/Z = 37/8
So..
Z = 8
Hope this helps! :)
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Answers
Answer: Neither angle measures nor segment lengths
p/3=5 please i need help on this one as well
Answers
Answer:
if p/5=3 then the answer is p=15
Step-by-step explanation:
the first step is to isolate the variable and this is done by multiplying both sides by 5
the result of this is p= 5 times 3 which equals 15
in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?
Answers
Answer:
2775.9
Step-by-step explanation:
options are
A) 578
B) 2775.9
C) 134.591
D) 31.757
Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal
0.5 = 5/10
ten times of this value = 5/10*10 = 5
Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.
In the given question
A) 578
here 5 is at hundredth place
other way to represent is is 500+70+8
B) 2775.9
here 5 is unit place and is correct option
it can be represented as
2000+ 700+ 70+ 7 + 9/10
c)C) 134.591
here 5 is tenth place after decimal
it can be represented as
100+ 30+ 5 + 5/10+9/100 + 1/1000
d)31.757
here 5 is hundredth place after decimal
it can be represented as
30+ 1 + 7/10+5/100 + 7/1000\
Hence, 2775.9 is correct choice.
Need help finding the missing length to the attached triangle.
Answers
Answer:
1500
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]
Answer:
1500
Step-by-step explanation:
Use the right triangle altitude theorem.
x/900 = 2500/x
x^2 = 900 * 2500
x = sqrt(900 * 2500)
x = 30 * 50
x = 1500
Use two unit multipliers to convert 50 square centimeters to square meters.
Answers
Answer:
0.005 square meters
Step-by-step explanation:
To convert a square centimeter to a square meter, divide the value by 10,000.
[tex]50/10000=0.005[/tex]
50 square centimeters is 0.005 square meters.
Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.
Outcome/Tally
Gerbil chooses left branch = 7 Tallys
Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?
Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?
Part C
Does the experimental probability equal the theoretical probability? Explain.
Answers
Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
which point is a solution to the solution≤8x-3
Answers
Answer:
-24
Step-by-step explanation:
8×-3=-24
hope you understood
What is the value of a?
Answers
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)
which expression is equivalent to 3 1/3?
Answers
Answer:
your answer is "A" 1/3
Step-by-step explanation:
Square ABCD has vertices at A(-1,3) B(0,7) C(4,6) and D(3,2). How many units is the perimeter of square ABCD
Answers
Answer:
16.492422502 units or 4√17 units
Step-by-step explanation:
The Perimeter of a Square can be defined as the Addition of it's 4 sides or the Multiplication of 4 and one of its sides.
This means,
The perimeter of square = a + b + c + d
or
4 × any of the sides because the sides of a square are equal to one another.
In the above question, we are given vertices at A(-1,3) B(0,7) C(4,6) and D(3,2)
The formula to solve for this is
√(x2 - x1)² + (y2 - y1)² when you have vertices: (x1 , y1 ) and (x2 , y2)
For Side AB: A(-1,3), B(0,7)
= √(x2 - x1)² + (y2 - y1)²
= √(0- (-1))² + (7 - 3)² = √1² + 4² = √1 + 16 = √17
For Side BC: B(0,7), C(4,6)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 0)² + (6 - 7)² = √4² + 1² = √16 + 1 = √17
For Side AD : A(-1,3), D(3,2)
= √(x2 - x1)² + (y2 - y1)²
= √(3- (-1))² + (2 - 3)² = √4² + (-1)² = √16 + 1= √17
For Side CD: C(4,6), D(3,2)
= √(x2 - x1)² + (y2 - y1)²
= √(3 - 4)² + (6 - 2)² = √-1² + 4² = √1 + 16 = √17
From the above calculations we can side that sides AB = BC = AC = CD
Hence the perimeter of square ABCD can be calculated as 4 × √17 or √17 + √17 + √17 + √17
= 16.492422502 units or 4√17 units
Which graph or equation represents a no proportional relationship?
-A
-B
-C
-D
Answers
Answer:
Graph A is not proportional
Step-by-step explanation:
To have a proportional relationship, the line must go through (0,0)
Graph A does not go through (0,0) so it is not a proportional relationship
what is pi rounded to the nearest 15th
Answers
Answer:
3.1415926535 8979
Step-by-step explanation:
bruh just search it in google
Please help me out i need it ASAP
Answers
Answer: C
Step-by-step explanation:
5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.
Which statement describes the slope of a graph of the data?
For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.
Answers
Answer:
For each additional pound, the price increases $1.50.
Step-by-step explanation:
Lets find the slope of the graph of othe given data.
Let x be the weight of pumpkin in pounds
Let y be the price of the pumpkin in dollars.
For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)
For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)
Find the slope between these points
m = y₂ - y₁ / x₂ - x₁
m = 12 - 6 / 8 -4
m = 6/4
m = 1.5
Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars
Answer:
B
Step-by-step explanation:
Help please, Mathematics!
Answers
Answer:
B. 3,300
Divide 28,875 by 109,800,724.
Answer:
B
Step-by-step explanation: I divide 109,800,724 and 28,875. I used calculator and estimated
There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?
Answers
Answer:
2
Step-by-step explanation:
A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.
Adrianne jogs for 15 minutes at 6 miles per hour. How many miles does she jog?
Answers
Answer: 3.2
Step-by-step explanation:
Answer:
1.5 miles
Step-by-step explanation:
Step 1: Convert 6 miles per hour to miles per minutes
6 mph = 0.1 mpm
Step 2: Multiply 15 and 0.1 mph
15(1/10) = 1.5