By differentiable polynomial f(x) = 0 for some x such that a < X < b , A is correct
What is an example of a differentiable function?
If a function's derivative is present at every location inside its domain, the function is said to be differentiable. If a function f(x) is differentiable at x = a, in particular, then f′(a) exists in the domain.
Let's examine a few instances of differentiable polynomial and transcendental functions, such as f(x) = x4 - 3x + 5.
A is correct
F receives two equal values in different places .
consider the line between them .
it cannot be in a coustant ascent nor descent, since it must return to the minimal value .
therefore, A, either coutant or has an surprising and descending area ,
thus from Fermat's rule the derivate must be equal to zero .
Learn more about differentiable function
brainly.com/question/30079101
#SPJ4
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on blue, P(not blue).
0.375
0.625
0.750
0.875
Answer:
Below
Step-by-step explanation:
5 out of 8 are NOT blue 5/8=.625
Make x the subject of the formula
√d= x -z^3
3a
After maxing x as a subject the solution becomes: x = z³ + √d 3a. This can be solved using the concept of solving equation.
What is an equation?Equations simultaneously, or a system of equations Multiple equations in algebra must be solved simultaneously. There must be an equal number of equations and unknowns for a system to have a singular solution. When two or more equations use the same variables, they are said to be in a system of equations. Graphing, substitution, and elimination are the three techniques used to solve systems of equations.
For instance, two equations with the identical variables, x and y, are x + y = 12 and 2x + 5y = 8. They are an equalization system.
Given that,
[tex]\sqrt{d} =\frac{ x - z^3}{3a}[/tex]
or, x - z³ = √d 3a
or, x = z³ + √d 3a
To know more about equations refer to:
brainly.com/question/25976025
#SPJ1
if x has a geometric distribution what does (1-p)n-1 represent
The probability of having n-1 failures before the first success in a Geometric distribution, given a specific probability p.
The formula (1-p)n-1 represents the probability of having n-1 failures (or successes, depending on which outcome the probability p is associated with) in a Geometric distribution. For example, if p=0.3, then the formula (1-p)n-1 would represent the probability of having two failures before the first success. This would be equal to (1-0.3)2-1, or 0.49. This means that there is a 49% chance of having two failures before the first success in this example. In general, this formula can be used to calculate the probability of having n-1 failures before the first success in a Geometric distribution, given a specific probability p.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
Complete question:
What does (1-p)n-1 represent in a geometric distribution?
Find the inverse of k(x)=x²-3. Define the restrictions to the domain.
Answer: The inverse of the function k(x)=x²-3 is k^(-1)(x)=±√(x+3). The domain restrictions for the inverse are x≥-3, since the square root is only defined for non-negative values.
The inverse of a function is the reflection of the original function over the line y=x. To find the inverse of k(x)=x²-3, we first swap the x and y variables: y=x²-3. Then, we solve for x: x=±√(y+3). This gives us the inverse function k^(-1)(x)=±√(x+3).
However, it is important to note that the square root function is only defined for non-negative values. Therefore, we must restrict the domain of the inverse function to x≥-3. This means that the inverse function can only be applied to input values that are greater than or equal to -3. For values less than -3, the inverse function is undefined.
Step-by-step explanation:
Answer:
Inverse function: [tex]\pm \sqrt{x + 3}[/tex]
Domain: [tex]x \ge -3[/tex]
Step-by-step explanation:
[tex]k(x) = x^2-3[/tex]
To find the inverse, set y = k(x)
==> y = x² - 3
Swap x and y
x = y² - 3
Add 3 to both sides
x + 3 = y²
y² = x + 3
[tex]y = \pm \sqrt{x + 3}[/tex]
or, in other words:
[tex]y = \sqrt{x +3} \:\;and\; y = -\sqrt{x + 3}[/tex] are the two solutions
Replace Swap x and y again to get the inverse as a function of x
[tex]k^{-1}(x) = \sqrt{x+3},\:-\sqrt{x+3}[/tex]
Since square roots of negative numbers are not defined, the term under the square root must be ≥ 0
x + 3 ≥ 0
==> x ≥ -3
There is no restriction on the upper bound it can go upto infinity
Domain of [tex]\sqrt{x + 3} : \:x\ge \:-3[/tex]
Which of the following tables represents a linear relationship that is also proportional?
xy
00
42
84
xy
01
23
45
The table which represents a linear relationship that is also proportional is table 1.
Which tables represents a linear relationship that is also proportional?There is a linear relationship between y and x when the rate of change of y with respect to x will be equal.
Table 1:
xy
00
42
84
When x = 4
y = kx
2 = k×4
2 = 4k
k = 2/4
k = 0.5
y = kx
y = 0.5x
when x = 8
y = 0.5(8)
y = 4
Table 2:
xy
01
23
45
y = kx
when x = 2
3 = k × 2
3 = 2k
k = 3/2
k = 1.5
when x = 4
y = 1.5x
y = 1.5(4)
y = 6
Therefore, table 1 is proportional and represents a linear relationship with the equation y = 0.5x.
Read more on linear relationship:
https://brainly.com/question/30232521
#SPJ1
Compose a jingle citing a situation in real life where linear inequalities in two variables are presented
Jingle cites a situation in real life -Men make up about 95% of those detained by the police.
99 percent of bricklayers are men.
Men make up 99 percent of soldiers' fatalities.
When you want to know something, it is often apparent and overwhelming. But it's rarely brought up since "women" simply don't engage in those kinds of behaviors. Voluntarily.
Jordan Petersen uses these examples frequently to silence liberals who support equality of all kinds because they don't want to talk about how the equality they claim to want would actually be totalitarian and authoritarian.
Know more about linear inequalities
https://brainly.com/question/29614696
#SPJ4
Assume you have a balance of $1200 on a credit card with an APR of 18%. You start
making monthly payments of $300 but at the same time charge an additional $75 a
month. Assuming that interest for a given month is based on the balance for the previous
month, how long does it take you to pay off the credit card debt?
Assuming that interest for a given month is based on the balance for the previous month, it will take 6 months to pay off the credit card debt of $1,200 when making a net payment of $225.
How is the period determined?An online finance calculator can determine the period for a compound interest system.
The length of payment uses the beginning credit card balance of $1,200 and the net payment of $225 (since a monthly payment of $300 is made when an additional charge of $75 is withdrawn from the card).
I/Y (Interest per year) = 18%
PV (Present Value) = $1,200
PMT (Periodic Payment) = $-225 ($300 - $75)
FV (Future Value) = $0
Results:
Period (N #) = 5.6
Sum of all periodic payments = $-1,260.08
Total Interest = $60.08
Thus, within six months you can pay off the credit card debt.
Learn more about compound interest systems at https://brainly.com/question/20406888
#SPJ1
Need help pls
Tyyyyyyy
The area of the base of the pyramid is 35/4 m².
The volume of the pyramid is 14 m³.
How to find the area of the base of the pyramid?A pyramid is a three-dimensional geometric shape that has a base and triangular sides that meet at a common point, called the apex.
The formula for the area of the base of the pyramid is given as:
A = 1/2 bh
where b and h are the base and height of the triangle at the base of the pyramid.
Given b = 7/3 meters and h = 15/2 meters
A = 1/2 * 7/3 * 15/2
A = 35/4 m²
That is B = 35/4 m²
The formula for the volume of the pyramid is given as:
V = 1/3 Bh
where h is the height of the pyramid and h = 24/5 meters
V = 1/3* 35/4 * 24/5
V = 14 m³
Learn more about pyramid on:
brainly.com/question/18994842
#SPJ1
is a line segment or a ray or a line that intersects a given line segment at a 90o, and also it passes through the midpoint of the line segment.
A perpendicular bisector is a line that intersects a given line segment at a 90°.
A perpendicular bisector is a line segment, ray, or line that goes through the middle of a given line segment and crosses it at a 90° angle.
A line, ray, or line segment is a perpendicular bisector if it divides another line segment in half proportionately and makes a right angle (90o) with it at its halfway.
In other words, the perpendicular bisector serves as both a perpendicular line to the line segment and a bisector, cutting it in half.
The intersection of the perpendicular bisector with the line segment represents its midpoint.
To learn more about angles.
https://brainly.com/question/28451077
#SPJ4
greatest common factor 42,63
If you divide 63 by 3 you get 21.
If you divide 42 by 2 you get 21.
63 / 3 = 21
42 / 2 = 21
Therefore, the GCF(Greatest Common Factor)is 21.
Adding subtracting , multiplying and dividing fractions worksheets provide a wide variety of interactive exercises and problems based on this topic for students to efficiently grasp these foundational concepts. By practicing these basic arithmetic operations on fractions students can easily attain the core fundamentals required to solve advanced algebraic equations and functions. These worksheets also come with self-explanatory answer-keys for instant doubt clarification and self-learning.
Using basic arithmetic operations, the missing terms are a) 7/5 and b) 19/14.
There are four basic arithmetic operations which are addition, subtraction, multiplication, and division. These operations can be applied to whole numbers and fractions.
a) 14/16 x 8/7= y x 5/7
In order to solve for y, the numerator and denominator on LHS are simplified and multiplied:
14/16 x 8/7= 7/8 x 8/7 = (7 x 8)/(8 x 7)
As there are same numbers in both numerator and denominator, they are cancelled:
(7 x 8)/(8 x 7)=1
Hence,
1= y x 5/7
Multiply both side by 7/5
7/5 x 1= y x 5/7 x 7/5
y= 7/5
b) 1/2+ 4/7= y -2/7
In order to solve for y, add the fraction on LHS:
1/2+ 4/7= ((7 x 1)+(4 x 2))/((2 x 7)) = (7+8)/14=15/14
Hence,
15/14= y -2/7
Add 2/7 to both sides:
15/14+ 2/7= y -2/7 + 2/7
y = (15+4)/14=19/14
Note: The question is incomplete. The complete question probably is: Find the missing terms:
a) 14/16 x 8/7= y x 5/7
b) 1/2+ 4/7= y -2/7
Learn more about Basic arithmetic operations:
https://brainly.com/question/4721701
#SPJ4
The given graph represents the polynomial p(x). Find the number of zeros of the polynomial p(x).
The number of zeros of the polynomial p(x) is 3.
What does a polynomial mean?A polynomial is a mathematical expression that solely uses the addition, subtraction, and multiplication operations to combine variables (commonly called coefficients) and variables (often called x). The variables are raised to non-zero, and the coefficients can be any real value.
The number of x-intercepts, or the places where the graph crosses the x-axis, is equal to the number of polynomial roots, also known as zeros.
We can see from the above graph that the polynomial p(x) has three x-intercepts, which indicates that it has three roots or zeros. Consequently, the polynomial p(x) has three zeros.
To learn more about polynomial, Visit
brainly.com/question/4142886
#SPJ4
Complete question -
use elimination to solve the system of equations
Elimination.... my biggest enemy
Welp let's dive in.
Elimination is sort of like subtraction BUT it's subtraction of equations.
In Elimination we want to make sure that we are looking for a common/ opposite coefficient.
If we see 5x and 5x stacked on each other, GREAT! or maybe -5x and 5x stacked on each other.
Why am I happy? Welll that just made the whole process easier. You see, if you see those stacked on top of each other, that means free elimation. You can just cancel them out because it becomes zero.
then we solve the problem same old same old.
P.S: If it's opposites coefficients we add the equations if it's the same we subract.
In your elimination, we have the same coefficients.
(yay)
so we can minus ad and ad
6c with 5c and 111 with 103
c=8
so we pick an equation and sustitute every c with 8
6*8+ad=111
48+ad=111
ad=63
questiojns? feel free to ask
Round answer to the nearest hundredth
Using the cosine ratio, the measure of angle A, to the nearest hundredth is: 75.52°.
What is the Cosine Ratio?The cosine ratio, also known simply as the cosine, is a trigonometric function that represents the ratio of the adjacent side to the hypotenuse of a right triangle.
It is defined as cos(θ) = adjacent side/hypotenuse, where θ is the angle between the adjacent side and the hypotenuse.
Reference angle (∅) = A
Length of adjacent side = 2
Length of hypotenuse = 8
Therefore:
cos A = adj./hyp. = 2/8
cos A = 1/4
A = cos^(-1)(1/4)
A = 75.52°
Learn more about the cosine ratio on:
https://brainly.com/question/15793827
#SPJ1
Calculate the length of the diagonal for the given rectangular prism. Round to the nearest tenth. Length= 10 Width= 4 Height= 10
Length of the diagonal of the rectangular prism is 14.69694. Here is the solution below
Given that the information:
Length of the rectangular prism - 10
Width of the rectangular prism - 4
Height of the rectangular prism - 10
Length of the diagonal of the rectangular prism -
Diagonal (d) = √l²+w²+h²= √10²+4²+10² = 14.69694
A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid.
The correct answer of this question is 14.69
Learn more about rectangular prism:
https://brainly.com/question/21308574
#SPJ4
3. You have an inheritance of $100,000 from your grandparents, but you must invest the money in a
mutual fund until you are 21 years old, that will pay an annual interest rate of r% compounded
continuously. If you are 17 years old now, your balance, in dollars, can be defined as B = A(r).
Interpret the following statements related to your inheritance, use the appropriate units.
A. A(7) =13230
B. A'(7) =3307.50
On a principal of $100,000.00 with compound interest accrued at a rate of 7% per year compounded continuously over 4 years, the total sum is $132,312.98.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, You have an inheritance of $100,000 from your grandparents, you must invest the money in a mutual fund until you are 21 years old, which will pay an annual interest rate of r% compounded continuously.
From the general formula of compound interest:
A = Pe^rt,
where P is the principal balance,
r is the interest rate,
n is the number of times interest is compounded annually,
t is the number of years
In our case,
P = 100,000
t = 21 - 17 = 4
n = 12 for compounded continuously
thus,
A = 100,000(2.71828)^r4
For the value of r = 7
A = 100,000.00(2.71828)^(0.07)(4)
A = $132,312.98
Therefore, The total amount accrued, principal plus interest, with compound interest on a principal of $100,000.00 at a rate of 7% per year compounded continuously over 4 years is $132,312.98.
Learn more about compound interest here:
https://brainly.com/question/29335425
#SPJ1
write each of these ratios in its simplest form 7:21:35
Answer:
1:3:5
Step-by-step explanation:
[tex]\frac{7}{7}=1\\\\\frac{21}{7}=3\\ \\\frac{35}{7}=5[/tex]
1:3:5
Select the shapes that have 8 or more edges.
Right circular cylinder
Right pyramid
Right triangular prism
Sphere
A and B
A and C
B and C
B and D
B and C
Right pyramid has 8, Right triangular prism has 9
What is the area of triangle []
ABC
?
Triangle ABC. Angle A = 60 degrees. Angles B = 60 degrees. Angle D = 90 degrees. BC = 12.
Select the correct choice.
In a triangle ABC, angle B=90, angle C=60, angle A=30 and BC=12cm. The area of the triangle is 144 * (√3/2) sq cm
How did we get the value?In a right triangle with a 90 degree angle, the length of the side opposite the 90 degree angle is the height, and the length of the other two sides form the base. If angle C = 60 degrees, then angle A = 90 - 60 = 30 degrees.
If BC = 12 cm, then the height AC is equal to AB * sin(30) = 12 * (√3/2).
The area of the triangle is equal to (1/2) * base * height = (1/2) * 12 * (12 * (√3/2)) = (12 * 12 * (√3/2))/2 = 144 * (√3/2) sq cm
learn more about area of a triangle: https://brainly.com/question/17335144
#SPJ1
The complete question goes thus:
In a triangle ABC, angle B=90, angle C=60, angle A=30 and BC=12cm. What is the area of the triangle?
Can someone PLEASE help? I will give brainliest if possible and lots of points
Part A: Find the value of x
Part B: Find ABK
Part C: Show your work to support your answer to Part A and Part B
Answer:
1. x = 20
2. m<ABK = 137
Step-by-step explanation:
1.
(3x - 5) + (4x + 2) + (2x + 3) = 180
9x = 180
x = 20
2.
3x - 5 + 4x + 2
7x - 3
7(20) - 3
140 - 3
m<ABK = 137
Desk was 794 mm what is width of her desk in cm
Answer:
79.4cm
Step-by-step explanation:
1cm = 10mm so 794mm / 10mm = 79.4cm
EASY POINTS, WILL MARK FIRST ANSWER BRAINLIEST
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $60, plus $28 per hour. What is the slope of this situation?
28
32
60
88
Answer:
28
Step-by-step explanation:
The slope of a line represents the rate of change between two variables. In the case of Superior Segway Tours, the cost of the tour is changing as the number of hours for the tour changes. The rate of change can be calculated by dividing the change in the dependent variable (cost) by the change in the independent variable (hours). In this case, the slope is $28 per hour. This means that for every hour that is added to the tour, the cost will increase by $28.
The slope of this situation can be represented as the change in cost (y-axis) per unit change in time (x-axis). The slope in this case would be $28 per hour.
Write the equation of the line in fully simplified slope-intercept form.
Answer
Y=-2x+1
-2 is the slope, and 1 is the y intercept
Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share?
The ratios are opposites (negative five thirteenths and five thirteenths).
The ratios are both identical (five thirteenths and five thirteenths).
The ratios are reciprocals (five thirteenths and thirteen fifths).
The ratios are both negative (negative thirteen fifths and negative thirteen fifths).
The relationship the ratios of sin x° and cos y° share is The ratios are both identical (five thirteenths and five thirteenths). Option B
What are trigonometric identities?Trigonometric Identities are defined as the qualities involving trigonometry functions and also holds true for all the values of the variables given in the equation.
The different types of trigonometric identities are given as;
secantsinecosinetangentcotangentcosecantFrom the information given, we have that
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
But;
Hypotenuse= 13
Opposite = 5
Adjacent = 12
Substitute the value
sin x = 5/13
cos y = 5/13
Hence, the values are identical
Learn about trigonometric identities on:
https://brainly.com/question/7331447
#SPJ1
Answer:
B!
Step-by-step explanation:
took the testt
The volume of a gas was measured as
its temperature was increased from 10 K
to 15 K at intervals of 1 K. The volumes
were 1. 5, 2. 2, 3. 38, 5. 1, and 7. 6 cm.
Would a linear or exponential function
better approximate the data described?
Explain why.
An exponential function would better approximate the data described about the volume of a gas.
The relationship between the volume of a gas and its temperature is described by the Ideal Gas Law, which states that the volume of a gas is proportional to its temperature raised to the power of the ratio of specific heat to the universal gas constant. Therefore, as the temperature of a gas increases, its volume will increase exponentially.
The data given in the problem, with the volume increasing as the temperature increases, supports the use of an exponential function to model the relationship between temperature and volume. On the other hand, a linear function, which models a constant rate of change, would not accurately capture the exponential increase in volume as the temperature increases.
Learn more about An exponential function:
https://brainly.com/question/30127596
#SPJ4
Given h(x) = -x + 1, solve for x when h(x) = 0.
Answer:
Step-by-step explanation:
2
BECUASE YEA
Answer:
Step-by-step explanation:
h(x) = -x + 1
h(x) = 0
0 = -x + 1
-1 = -x
x = 1
find the orthogonal projection p of v = 10i 8j 3k on u = 2i 10j 3k
The projection of vector v on u is =[tex]\=109/\sqrt{113}(2i+10j+3k)[/tex]
Sometimes the inner product and the dot product are considered to be the same. The formal definitions of projection and rejection employ the inner product rather than the dot product whenever they don't coincide. The concepts of projecting a vector onto another and rejecting a vector from another can be applied to the concepts of projecting a vector onto a plane and rejecting a vector from a plane for a three-dimensional inner product space.
A vector's orthogonal projection on a plane is the vector's projection on that plane. A vector is rejected from a plane when it is projected in an orthogonal direction on a straight line. They're both vectors. The first is orthogonal to the plane, while the second is parallel.
we have v=10i+8j+3k and u=2i+10j+3k,
[tex]The\ projection\ v\ on\ w= ((v.u)/|u|)u\\\\the \proj=((20+80+9)/\sqrt{4+100+9})(2i+10j+3k)\\\\=109/\sqrt{113}(2i+10j+3k)[/tex]
learn more about projection.
https://brainly.com/question/29564005
#SPJ4
81 1/4 evaluated please help
Answer: 324/4
Step-by-step explanation:
I know i'm doing this totally wrong I don't know.
Point P i on line egment O Q. Given O Q = 11 OQ=11 and O P = 9 , OP=9, determine the length P Q ‾. PQ
The numerical length of PQ is 20
Determine the length P Q ‾. PQ ?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that the line segments are: -
OQ=11 O P = 9
The numerical value of PQ will be calculated as below.
OP+OQ=PQ
11+9=PQ=11+9=PQ
Therefore PQ=20=PQ
To know more about length visit:
https://brainly.com/question/8552546
#SPJ4
find f^1(x) and its domain
(image attached)
The solution is Option C.
The inverse of the function is f⁻¹ ( x ) = ( x + 5 )² and the domain is x ≥ 0
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is given as
f ( x ) = √x - 5 be equation (1)
On simplifying the equation , we get
y = √x - 5
To calculate the inverse of the function , solve for x , we get
Adding 5 on both sides of the equation , we get
√x = y + 5
Taking the square on both side of the equation , we get
x = ( y + 5 )²
Substitute the value of x = f⁻¹ ( x ) and y = x , we get
f⁻¹ ( x ) = ( x + 5 )²
And , the domain of the function is [ 0 , ∝ ]
Hence , the function is f⁻¹ ( x ) = ( x + 5 )²
To learn more about domain and range click :
https://brainly.com/question/28135761
#SPJ1