Here the correct expression for the derivative of P(x) is: option B
What is mean by derivative?The fact that the initial function f implies a second, distinct function f′(x) gives origin to the name "derivative" (x). As a result, we have deduced one from another. When we deduce one from the other, the terms differential, etc. pertain more to the real mathematics that is taking place.
The definition of a derivative in mathematics is a technique for displaying the simultaneous rate of change. The amount by which the provided function is changing at a certain instant is thus represented by it.
The following are some uses for derivatives: to ascertain the pace at which one item is changing in relation to another. The saddle points of a function are used to calculate maximum and minimum. to establish a function's concavity and convexity.
P(x) = \(\frac{f(x)}{1-f(x)}\)
or, \(\frac{d}{dx} P(x) =\) \(\frac{d}{dx} \frac{f(x)}{1-f(x)}\)
or, \(\frac{d}{dx} P(x) =\) \(\frac{f'(x)}{1-f(x)}\)
Correct option: B
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Yesterday, Jack drove 44 miles. He used 1 1/3 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
33 miles per gallon
Step-by-step explanation:
How do you know how many real solutions?
The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.
What are real solutions of an equation?A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.
How many real solutions does the discriminant have?When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.
So that we can find real solution of quadratic equation by finding discriminant of given equation.
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Does someone mind helping me with this? Thank you!
4. The image below is a cube. Edge BC is along the x-axis. Edge BA is along the y-axis. Edge BF
is along the z-axis. What are the coordinates of point G?
E
F
3
2
Bo 1
D
In order to precisely locate a point, you must identify its location relative to a coordinate system.
How to find the coordinates of a pointThis system assigns numerical values to points in space and is thus equipped to uniquely pinpoint any position.
Firstly, ascertain the distance from the point to the coordinate system's origin.
Applying this knowledge to a Cartesian-style grid, consider both the horizontal (x-coordinate) as well as vertical (y-coordinate) distances between the specified point and the origin.
Finally, render the coordinates of the target point in the correct style of notation.
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What kind of triangle is this?
54°
95°
31°
acute
right
obtuse
54° is acute
95° is obtuse
31° is acute
Please help ill give brainliest and more points
Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.
If there are 8 entrees and 6 sides available, how many different meal combinations could she order?
Enter your answer as an integer, like this: 42
Answer:
5
Step-by-step explanation:
Answer:
560
Step-by-step explanation:
To find the total combination you have to multiply the combination of entrees by the combination of sides. You have to use the nCr equation to find these separate equations. n is the number of items in the total of the set and r is the number of items you want to choose from the set.
nCr(8,2) = 28
nCr(6,3) = 20
28 * 20 = 560
Given that CA = 2 and AT = 10, find CT.
Answer:
CT = 12
Step-by-step explanation:
CA = 2
AT =10
CT = CA + AT
=12
Answer:
CT = 12
Step-by-step explanation:
CT = CA + AT = 2 + 10 = 12
please help me
will mark brainliest
Answer:
4
-20
-12
Step-by-step explanation:
g(4)
= 4(4)-12
= 16-12
= 4
g(-2)
=4(-2)-12
=-8-12
=-20
g(0)
=4(0)-12
=0-12
=-12
Does anyone know this answer??
Answer:
Whole numbers
Step-by-step explanation:
Integers and whole numbers are similar, but integers contain negatives and whole numbers do not. Since a city cannot have a negative population count, we'd prefer whole numbers.
Rational numbers allow for non-whole numbers, but again, a city can't havea population of something and a half person. We again prefer whole numbers.
Answer:
Whole Numbers
Step-by-step explanation:
So cities Have complete number the represent it so integers are negative numbers and fractions and rational numbers are fractions so whole number is the only number that are complete and is not a fraction so therefore the only answer it could be is whole numbers
If 7x = 24 y, find the ratio of x to y.
Answer:
7:24 or \(\frac{7}{24}\)
Step-by-step explanation:
a ratio is usually defined as a fraction ( the first to the next)
Triangle PQR was dilated according to the rule DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q. On a coordinate plane, (0, 0) is the center of dilation. Triangle P Q R is dilated to create triangle P Q prime Q. Triangle P Q R has points (negative 2, 2), (negative 2, 4), and (negative 1, 2). Triangle P prime Q prime Q has points (negative 4, 4), (negative 4, 8), and (negative 2, 4). Which statements are true? Select two options. ∠R corresponds to ∠P'QQ'. ∠PQR corresponds to ∠QPQ'. Segment QQ' is parallel to segment PP'. Side RQ corresponds to side QQ'. △PQR ≅ △P'Q'Q
Answer:
i second the answers 1 (∠R corresponds to ∠P'QQ') & 4 (Side RQ corresponds to side QQ')
Step-by-step explanation:
e d g e 2020
have a good day bruvs :)
Answer:
1 and 4. got it right edu2020.
Step-by-step explanation:
Triangle PQR was dilated according to the rule DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q.
On a coordinate plane, (0, 0) is the center of dilation. Triangle P Q R is dilated to create triangle P Q prime Q. Triangle P Q R has points (negative 2, 2), (negative 2, 4), and (negative 1, 2). Triangle P prime Q prime Q has points (negative 4, 4), (negative 4, 8), and (negative 2, 4).
Which statements are true? Select two options.
∠R corresponds to ∠P'QQ'.
∠PQR corresponds to ∠QPQ'.
Segment QQ' is parallel to segment PP'.
Side RQ corresponds to side QQ'.
△PQR ≅ △P'Q'Q
is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.
Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.
For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.
Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.
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Write the equation of the given line in slope intercept form
veterinary assistant holds a dog and steps on a scale. The scale reads 193 pounds. Alone, the assistant weights 135 pounds how much does the dog weigh? define the variable first write an equation
Answer:
58
Step-by-step explanation:
x = 193 -135
x = 58
Hey guys- need help here. Topic- exponents.
Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.
Answer:
True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.
False- She has $3 left over.
Step-by-step explanation:
2 pounds of burgers for $3 each is $6
1 bag o bun equals $2
5 bags of chips for $4 each is $20
$20 + $6 +$2 = $28
She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.
Solve for x given that the polygons are similar. Then find the scale factor of the smaller figure to the larger figure.
The given polygons are similar and the scale factor of dilation is 3 : 2
Given data ,
Let the scale factor of the dilation be represented as k
Now , the value of k is
The measure of the ratio of corresponding sides are given as
21 / 14 = 12 : 8
3 : 2 = 3 : 2
Therefore , the dilation factor is 3 : 2
And , the measure of x is given by
21 / 14 = x / 12
3 / 2 = x / 12
Multiply by 12 on both sides , we get
x = 18
Hence , the dilation of polygon is solved
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The complete question is attached below :
Solve for x given that the polygons are similar. Then find the scale factor of the smaller figure to the larger figure
write an expanded form and find the sum . plzz solve it 100% right...
Step-by-step explanation:
n = 0 : 2(0) -1 = -1
n = 1 : 2(1) - 1 = 1
n = 2 : 3
n = 3 : 5
n = 4 : 7
n = 5 : 9
sum = -1 + 1 + 3 + 5 +7 + 9 = 25
Can you help me solve this please
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
Additional comment
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
4x + y = 0Put it in slope form
Given the equation:
\(4x+y=0\)we have that the slope form of the equation of the line is:
\(y=mx\)In this case, we have the following:
\(\begin{gathered} 4x+y=0 \\ \Rightarrow y=-4x \end{gathered}\)therefore, the equation in slope form is y = -4x
-18=7v+9-10v
slove for v.
Answer:
v=9
Step-by-step explanation:
-18 = 7v + 9 - 10v
combine like terms
-18 = -3v + 9
-9 -9
-27 = -3v
divide both sides by -3
9 = v
or
v = 9
Hope this helps!!!
which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63
The equation that can be used to find the length of the hypotenuse of a right triangle is the Pythagorean theorem, which states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
In the given triangle with side lengths 63, 16, and x, the length of the hypotenuse is represented by x. Thus, we can apply the Pythagorean theorem to find the value of x.
Using the Pythagorean theorem, we get:
x^2 = 63^2 + 16^2
Simplifying the equation, we get:
x^2 = 3969 + 256
x^2 = 4225
Taking the square root of both sides, we get:
x = 65
Therefore, the length of the hypotenuse of the right triangle is 65.
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PLEASE HELP ME PLEAAASWEEEE
Help pleaseeeeeeee!!!!????
Answer:
Clyde make 14 package if he uses all of the cards.
There are 3 triangles 6 squares what is the simplest ration of the triangles to total shape
Answer:
it either can be 3:6 or 6:3 but I think its 3:6
Answer:
1 : 3.
Step-by-step explanation:
The total number of shapes is 3 + 6 = 9.
So triangles : total shapes = 13 : 9
= 1 : 3.
Which expression is equivalent to 1/2a-4
Therefore, a - 9/2 is equivalent to a - 4 1/2.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to produce a value or result. Expressions can be simple or complex and can involve various operations such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Expressions are often used to represent mathematical relationships, formulas, or models in a concise and structured way. They can also be used to solve problems, simplify complex calculations, or manipulate mathematical quantities.
An expression that is equivalent to a - 4 1/2 is:
a - 9/2
To see why, you can simplify a - 4 1/2 as follows:
a - 4 1/2
= a - (8/2 + 1/2)
= a - 9/2
Therefore, a - 9/2 is equivalent to a - 4 1/2.
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-
-
5 What is the equation of the line that passes
through the point (3,-7) and has a slope of -4/3
Given that a line passes through the point (3,−7) and has a slope of −43. − 4 3 . Hence, the equation of the given line is 4x+3y+9=0.
Answer:
y = -4x/3 -3
Step-by-step explanation:
y - y1 = m( x - x1 )
y - -7 = -4/3 ( x - 3 )
y + 7 = -4x/3 + 4
y = -4x/3 -3
y = -4x/3 -3 is the equation of the line
according to your text, which of the following is the primary source of primate endangerment today? habitat destruction human diseases social stress and dislocation use of primates for pets
Based on the text, the primary source of primate endangerment today is habitat destruction.
Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.
Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.
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A club with 20 women and 17 men needs to choose three different members to be president, vice president, and treasurer. In how many ways is this possible if women will be chosen as president and vice president and a man as treasurer
To solve this problem, we'll use the concept of permutations.
First, we need to choose a woman for the position of president, then another woman for the position of vice president, and finally, a man for the treasurer position.
1. President: Since there are 20 women, we have 20 options for the president position.
2. Vice President: We're left with 19 women (since we already chose one for the president), so we have 19 options for the vice president position.
3. Treasurer: Since there are 17 men, we have 17 options for the treasurer position.
Now, multiply the number of options for each position together to find the total number of ways to form the committee:
20 (president) × 19 (vice president) × 17 (treasurer) = 6,460 ways.
So, there are 6,460 possible ways to choose three different members with women as president and vice president and a man as treasurer.
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Select the graphs that show a proportional relationship between x and y