Answers
It is the local minimum as it is the minimum point in the neighboring. The term local is used, as it is the lowest point within a short interval and not for the entire function.
The interval which correctly shows the local minimum is [-3, -1]
So, the correct answer is option Third
Related Questions
Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40
Answers
The box plot representing the data set 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 will have the values at 5 (minimum), 12.5 (Q1 - 25th percentile), 25 (median), 37.5 (Q3 - 75th percentile), and 50 (maximum). The data is arranged in ascending order, divided into quartiles, and the median of each quartile is found.
Explanation:To determine which box plot represents the data, we need to obtain the five-number summary of the data which includes the minimum, Q1 (25th percentile), median (Q2 - 50th percentile), Q3 (75th percentile), and the maximum.
Arrange the data in ascending order: 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50Determine the minimum and maximum: Minimum is 5, Maximum is 50 Find the median (Q2): With 12 numbers, the median is the average of the 6th and 7th value, so (25+25)/2 = 25 Q1 is the median of the lower half of data (not including Q2): The median of 5, 5, 10, 15, 25, 25 is (10+15)/2 = 12.5 Q3 is the median of the upper half of data (not including Q2): The median of 30, 35, 40, 40, 45, 50 is (35+40)/2 = 37.5Therefore, the box plot that represents this data will have values at 5 (minimum), 12.5 (Q1), 25 (median), 37.5 (Q3), and 50 (maximum).
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Factor the trinomial below.
x2 – 14x + 45
A. (x – 3)(x + 15)
B. (x – 5)(x + 9)
C. (x – 5)(x – 9)
D. (x – 3)(x – 15)
Answers
The answer is C.
[tex] {x}^{2} - 14x + 45 = (x - 9)(x - 5)[/tex]
To find our answer we are looking for 2 integers. The sum of the integers must be -14 (since it must be equal to the number before the variable x). The product of both integers must be 45. Now we can conclude we are looking for the numbers -9 and -5.
[tex] - 9 + - 5 = - 9 - 5 = - 14 \\ - 9 \times - 5 = 45[/tex]
(Remember that multiplying 2 negatives makes you end up with a positive.)
~ Hope this helps you!
WILL MARK BRAINLIEST!!
Given: x - 5 > -10.
Choose the solution set.
{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}
Answers
Answer:
{x | x R, x > −5}
Step-by-step explanation:
x - 5 > -10
+ 5 + 5
__________
x > −5
I am joyous to assist you anytime.
classify 4x^5+2x^4-5x^3+12 by number of terms
Answers
The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).
What is a polynomial?Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic and so on. Polynomials can also be classified based on number of terms.
The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).
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A wise man once said, "500 reduced by 3 times my age is 200." What is his age?
Answers
_________________________________________________________
Explanation:
_________________________________________________________
Let "x" represent the numerical value of [the man's age].
500 - 3x = 200 ; Solve for "x" ;
Subtract "500" from each side of the equation:
500 - 3x - 500 = 200 - 500 ;
to get:
- 3x = -300 ;
Now, divide each side of the equation by "-3" ; to isolate "x" on one side of the equation; & to solve for "x" ;
- 3x / -3 = -300 / -3 ;
x = 100 .
_______________________________________________________
The answer is: " 100 " .
_______________________________________________________
If a population has a birth rate of 40 individuals per 1,000 per year and a death rate of 30 individuals per 1,000 per year, how will the population change each year
Answers
One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.
Answers
The angles of parallelogram are 40°, 140°, 40°, 140°.
What is parallelogram?
A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.
For the given situation,
One angle of parallelogram = 40°
Let the unknown angle be 'x'
The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
⇒ [tex]40+x=180[/tex]
⇒ [tex]x=140[/tex]
The opposite interior angles are equal.
Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.
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Bruno is designing his next skateboard. the skateboard store has 333 types of grip tape, 131313 types of decks, 777 types of trucks, 4 types of bearings, and 2 types of wheels. how many different skateboards can bruno create
Answers
Answer:
2184 is what i got.
Step-by-step explanation:
How much greater is the median number of pairs of shoes in the inventory at the Golf pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop?
Answers
To get this answer, you find the median of the golf pro shop data (a = 40) and the median of the tennis pro shop data (b = 20). Then you subtract to get a-b = 40-20 = 20. The median of any box plot is the vertical line inside the box plot.
Answer:
20
Step-by-step explanation:
2/3 (a-b) =c, solve for a
Answers
The perimeter of a rectangle is 68cm the length is 4cm less than three time its width write a system of equation to find the dimension of the rectangle
Answers
Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 0
16x + 9 = 4x
16x + 11 = 4x
Answers
16x + 9 = 4x
Its B
Answer: The correct option is (B) [tex]16x+9=4x.[/tex]
Step-by-step explanation: We are given to select the correct equation that could be used to solve the following equation :
[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the correct equation, we need to simplify the given equation (i).
From equation (i), we get
[tex]9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.[/tex]
Thus, the required equation is [tex]16x+9=4x.[/tex]
Option (B) is CORRECT.
Coach miller bought 5.15 pounds of ground beef to make burgers The cost of ground beef is $3.40 for each pound.What was the total cost for all of the ground beef?
Answers
The total cost of the ground beef bought by Coach Miller is calculated by multiplying the quantity (5.15 pounds) by the price per pound ($3.40). The total cost comes to $17.51.
Explanation:The subject of the question is a practical application of multiplication in Mathematics. Coach Miller bought 5.15 pounds of ground beef at a rate of $3.40 per pound. To calculate the total cost, you simply need to multiply the quantity (5.15 lbs) by the price per unit ($3.40/lb).
So the calculation will be: 5.15 (pounds) × $3.40 (cost per pound) = $17.51 So, the total cost for all of the ground beef would be $17.51.
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help a brother out lol
Answers
[tex]( \frac{g}{f} )(x)= \frac{x^2-6}{3x+1} [/tex]
Since the denoinatorcan't be zero:
[tex]3x+1 \neq 0[/tex]
[tex]x \neq - \frac{1}{3} [/tex]
We can conclude that the correct answer is A. [tex]\frac{x^2-6}{3x+1} [/tex] [tex]x \neq - \frac{1}{3}[/tex]
triangle ABC is similar to Triangle XYZ. AB=5x+25, BC=7x+44, YZ=29, XZ=45, XY=14 Find x
Answers
============================================================
Explanation:
Triangle ABC is similar to Triangle XYZ. This means that
AB/BC = XY/YZ
is one proportion we can form
Plug in the given expressions and then isolate x
AB/BC = XY/YZ
(5x+25)/(7x+44) = 14/29
29(5x+25) = 14(7x+44)
29(5x)+29(25) = 14(7x)+14(44)
145x+725 = 98x+616
145x-98x = 616-725
47x = -109
x = -109/47
note: its possible your teacher made a typo since we got a negative fraction here. I would ask your teacher to double check.
Which number is irrational A)25.23 B) 8 C)square root of 48
Answers
Reason:
=> √48 = √(2×2×2×2×3) = 4√3
As, we know√3 is irrational therefore √48 is also irrational no.
Hope this helps!
Short answer: C.
Why?
When a number is irrational, that means it goes on forever. It can't be A, because we know the end is .23. It can't be B because that is just a whole number. The only one that would make sense is answer choice C. √48.
Hope this helped you! ♥
i need help so bad asap
Answers
Substitute x=2 and y=2
2•2+3=3•2+1 ✔️
Substitute x=4 and y=4
11=13 ❌
Substitute x=3 and y= 3
9=10 ❌
Substitute x=5 and y= 5
13=16 ❌
What is the second term in the binomial expansion of (2r – 3s)12? –73,728r11s 73,728r11s 608,256r10s2 –608,256r10s2?
Answers
Solution:
A is the correct option.
Explanation:
We have been given that [tex](2r - 3s)^{12}[/tex]
The [tex]r^{th}[/tex] term of a binomial expansion [tex](a+b)^n[/tex] is given by
[tex]t_r=^{n}C_{r-1}a^{n-r+1}b^{r-1}[/tex]
For the given binomial expansion, we have
[tex]a=2r,b=-3s,r=2,n=12[/tex]
On plugging this value in the above formula, we have
[tex]t_2=^{12}C_{2-1}(2r)^{12-2+1}(-3s)^{2-1}\\\\t_2=^{12}C_1 (2r)^{11}(-3s)^{1}\\\\t_2=\frac{12!}{1!11!}(2)^{11}r^{11}(-3)s\\\\t_2=12\cdot (2)^{11}(-3)r^{11}s\\\\t_2=-73728r^{11}s[/tex]
Therefore, the second term is -73728r^11 s
A is the correct option.
Please help !!
Question posted below
Answers
24 - 12 = 12
A sum of money is divided among peter paul and jane in ratio 13:12:7 calculate how much paul gets if amount peter gets more than jane is 78$
Answers
x: Money Peter receives
y: Money Paul receives
z: Money Jane receives
We write the system of equations:
x / y = 13/12
x / z = 13/7
x = z + 78
Solving the system we have:
x = $ 169
y = 156 $
z = 91 $
Answer:
Paul gets 156 $
Broderick answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?
Answers
84 hundredths
HELP ASAP PLEASE!1!! Determine the factors of a2b + 2a2 + 3b + 6. (b + 3)(a2 + 2) (b + 2)(a2 + 3) (ab + 2)(a + 3) (ab + 3)(a + 2)
Answers
Hope this helps!
Answer:
B. (b + 2)(a2 + 3)
Step-by-step explanation:
If there is a very strong correlation between two variables, then the coefficient of correlation must be
Answers
Final answer:
If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1.
Explanation:
The correlation coefficient measures the strength and direction of the relationship between two variables. If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1. A correlation coefficient of 1 indicates a perfect positive correlation, meaning the variables increase and decrease together.
A correlation coefficient of -1 indicates a perfect negative correlation, where one variable increases while the other decreases.
Danielle ran 3 1/8 miles on Tuesday and 4 and 1/2 miles on Wednesday and 5 1/4 miles on Thursday how far did Danielle run all together this
Answers
3 1/8
4 1/2
5 1/4
the common denominator would be 8. so multiply all the fractions by the number that would give you 8 on the bottom of the fraction
1/8 x 1 = 1/8
1/2 x 4 = 4/8
1/4 x 2 = 2/8
now you would set up your problem
3 1/8 + 4 4/8 + 5 2/8
first add the fractions
1/8 + 4/8 + 2/8 = 7/8
then add the whole numbers
3 + 4 + 5 = 12
now put the number and fractions together and you have your answer
12 and 7/8
Find the surface area of the equilateral triangular pyramid.
Answers
good luck
Answer:
i think the answer is C.
GOOD LUCK!!!
Need help on this as soon as possible!
Answers
Area of the base of the prism: Ab=Area of the equilateral triangle
Height of the prism: h=6
Ab=A triangle= sqrt(3)/4*s^2
Ab=sqrt(3)/4*3^2
Ab=sqrt(3)/4*9
Ab=9 sqrt(3)/4
V=Ab*h
V=[9 sqrt(3)/4](6)
V=54 sqrt(3) /4
V=27 sqrt(3) / 2
V=27/2 sqrt(3)
Find 2 positive real numbers that differ by 1 and have a product of 1
Answers
B) x * y =1
B) y = 1/x
A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0
Solving by the quadratic formula
x = 1.618 and
y = .618
Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio
To find the length ab of a small lake, a surrounding veyor measured angle acb to 96, ac to be 91 yards, and bc to be 71 yards. what is the approximate length of the lake?
Answers
c² = a² + b² − 2ab cos(C)
Applying this in our problem, we get:
AB²= 71²+91²- 2x91x71 cos96
AB²=14627.7 yard²
AB=121 yard
Two similar cones have volumes of 8pi and 64pi find the ratios of the radio
Answers
volume larger cone=64*pi unit³
volume smaller cone=8*pi unit³
we know that
volume larger cone=[scale factor]³*volume smaller cone
[scale factor]³=volume larger cone/volume smaller cone
[scale factor]³=64*pi/(8*pi)-----> 8
[scale factor]=∛8------> [scale factor]=2
Find the ratios of the radio
[radio larger cone/radio smaller cone] is equal to the scale factor
so
[radio larger cone/radio smaller cone]=2
or
[radio smaller cone/radio larger cone]=1/2
Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?
Answers
25c -.05(25c) = 66.50
0.95*25*c = 66.50
c = 66.50/(0.95*25) = 2.80
The best quality of editing that Maria can afford is ...
Basic Proofreading