HELP ME NOW PLEASE IM BEGGING YOU PLEASE IM CRYING IM GOING INSANE I NEED HELP WITH THIS QUESTION IM TIRED OF ASKING THE SAME QUESTION OVER AND OVER AGAIN PLEASE HELP IF YOU ARE GOOD AT MATH
Answers
Answer:
-4
Step-by-step explanation:
Average rate of change: y / x = (f(x₁) - f(x₂)) / (x₁ - x₂)
Note: it does not matter which goes first- x₁ or x₂. Just keep them in the same order for both parts (just like when you find slope)
For example, if we were conducting a lab experiment and there was 40 rats in week 2 and 80 rats in week 4, then to find the average rate of change:
(40 - 80) / (2 - 4) = -40 / -2 = 20 rats per week
Now, let's apply this to the equation we have.
h(x) = -x² + 3x + 1 when x=2 and x= 5
When x = 2,
-x² + 3x + 1 = - 2² + 3*2 + 1 = -4 + 6 + 1 = 3
When x = 5,
-x² + 3x + 1 = -5² + 3*5 + 1 = -25 + 15 + 1 = -9
Now, plug these into the equation (f(x₁) - f(x₂)) / (x₁ - x₂)
Let's set x₁ as 2 and x₂ as 5. So,
(h(2) - h(5)) / (2 - 5)
Then, substitute h(2) and h(5) with the numbers we already know.
(3 - (-9)) / (2 - 5)
12 / (-3) = -4
Thus, the answer is -4
I hope this helps! Feel free to ask any questions!
Related Questions
Can somone pls tell me
I need help
Answers
Find the value of each variable. (x and y)
Answers
Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)
Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).
____ is the additional sum of money expected from an investment over and above the orginal investments.
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Answer:
interest is the additional sum of money
If the scale factor of figure A to figure B is 3:8 find x
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8x = 72
9
What is the cos A?Will give 15 points.
Answers
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
how many molecules Na are in 23 g Na?
Answers
The number of molecules is 6.023× 10²³ in 23 gram of Na.
What is molecules?
A single atom or more make up a molecule. If they have more than one atom, they may all be the same (for example, an oxygen molecule has two oxygen atoms) or they may all be different. Numerous thousands of atoms can be found in biological molecules like DNA and proteins.
What is one mole?
The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.023× 10²³ elementary entities.
The mass of one mole of sodium is 23 gram.
The number of molecules of 1 mole is 6.023× 10²³.
The number of molecules of in 23 g Na is 6.023× 10²³.
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The difference between 16.03 and 7.385 is …….
Need help asap
Answers
Answer:
8.645
Step-by-step explanation:
use the algorithim to show your work :
16.03
- 7.385
8.645
don't forget to line up the decimal points
5c + 7c simplify fytdtdecxsts
Answers
Answer:
12c
Step-by-step explanation:
Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.
In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:
5c + 7c = 12c
12c is your answer.
~
Determine whether each sequence is arithmetic. If so, identify the common difference. -34, -28, -22, -16
Answers
Answer:
Question:
Determine whether each sequence is arithmetic. If so, identify the common difference. -34, -28, -22, -16
The numbers are given below as
\(-34,-28,-22,-16\)Concept:
Define an arithmetic sequence
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The general form of an arithmetic sequence is given below as
\(\begin{gathered} a_n=a_1+(n-1)d \\ a_1=first\text{ }term \\ n=number\text{ of terms} \\ d=common\text{ difference} \end{gathered}\)To check if they have a common difference, we will use the formulas below
\(\begin{gathered} d=a_2-a_1=-28-(-34)=-28+34=6 \\ d=a_3-a_2=-22-(-28)=-22+28=6 \\ d=a_4-a_3=-16-(-22)=-16+22=6 \end{gathered}\)Hence,
Since the sequence has a common difference,
It is therefore an ARITHMETIC SEQUENCE
Their common difference is
\(\Rightarrow6\)How many grids would you need to represent 4.5 divided by .5
Answers
We need 9 grids to represent 4.5 divided by 0.5.4
Given, that we have to find the number of grids to represent 4.5 divided by the 0.5
Now, to find the number of grids,
we have to divide the number 4.5 by the number 0.5
On dividing, we get
4.5/0.5
= 9
So, 9 grids are the number of grids required to represent 4.5 divided by 0.5.
Hence, we need 9 grids to represent 4.5 divided by 0.5.
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Subtract 8−2x from 3−6x .
Answer in this format:
Answers
Answer:
\(4x + 5\)
Step-by-step explanation:
\((8 - 2x) - (3 - 6x)\)
\(8 - 2x - 1 \times 3 - (6x)\)
\(8 - 2x - 3 + 6x\)
\( - 2x + 5 + 6x\)
\(4x + 5\)
Hope it is helpful....The product of 46 and a number added to the reciprocal of a number squared.
Answers
The expression for the given word phrase is
46M + M² + 2 + 1/M²
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = M
Reciprocal of M = 1/M
Now,
46 x (M + 1/M)²
Step 1:
46M + M² + 2 + 1/M²
Thus,
The expression is 46M + M² + 2 + 1/M²
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The number of children's books at a library was 2/5 of the total number of books. After 298 children's books were added to the library, the number of children's books was 4/7 of the total number of books. How many books were there in the library at first?
Answers
Answer:
745
Step-by-step explanation:
You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.
RatioWe often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...
(2x +298)/(5x +298) = 4//7
SolutionCross multiplying gives ...
7(2x +298) = 4(5x +298)
3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))
149 = x
745 = 5x . . . . . . the original number of books in the library
There were 745 books in the library at first.
__
Additional comment
If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...
2/5x +298 = 4/7(x +298)
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Find the measure of each marked angle.
(9x-27)
(4x)
Answers
Answer:
(9×-27)
= (243×4)
= 972
which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
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Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
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8.5 m
What is the perimeter of the office?
Exit
5 m
4.25 m
m.
14 m
22.5 m
< Back
5 m
4.25 m
8.5 m
What is the permeter?
Answers
Answer: 72
Step-by-step explanation:
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (1,6), endpoint (-2,1)
Answers
Answer:
(4,11)Step-by-step explanation:
Given two coordinates (x₁, y₁) and (x₂,y₂), the midpoint of the coordinates is expressed as M(X,Y) = \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\) where;
\(X = \dfrac{x_1+x_2}{2}\ and \ Y = \dfrac{y_1+y_2}{2}\)
Given the midpoint (X, Y) = (1,6) and one end point to be (-2,1), to get the unknown endpoint (x,y), we will apply the formula above. from the coordinates given X = 1, Y = 6, x₁ = -2 and y₁ = 1
\(Given \ X = \dfrac{x_1+x_2}{2}\\1 = \dfrac{-2+x}{2}\\cross \ multiply\\2 = -2+x\\x = 2+2\\x = 4\)
Similarly to get y;
\(Given \ Y = \dfrac{y_1+y}{2}\\6 = \dfrac{1+y}{2}\\cross \ multiply\\2*6 = 1+y\\12 = 1+y\\y = 12-1\\y = 11\)
Hence the unknown endpoint (x,y) is (4,11)
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
Answers
(a) 58 = 2(w + 5 + w)
(b) I. The width of the rectangle is 12 cm.
II. The length of the rectangle is 17 cm.
III. The area of the rectangle is 204 cm².
Let's solve the problem step by step:
(a) To write an equation for the perimeter of the rectangle, we know that the perimeter is the sum of all four sides. Let's denote the width of the rectangle as "w" (in cm). Given that the length is 5 cm more than the width, the length would be "w + 5" (in cm). The formula for the perimeter is:
Perimeter = 2(length + width)
Substituting the values, we have:
58 = 2(w + 5 + w)
Simplifying the equation, we get:
58 = 2(2w + 5)
(b) Now let's solve for the width and length of the rectangle:
I. To find the width, we solve the equation:
58 = 2(2w + 5)
Dividing both sides by 2, we get:
29 = 2w + 5
Subtracting 5 from both sides, we have:
24 = 2w
Dividing both sides by 2, we find:
w = 12 cm
Therefore, the width of the rectangle is 12 cm.
II. To find the length, we substitute the value of the width into the equation:
Length = w + 5 = 12 + 5 = 17 cm
Therefore, the length of the rectangle is 17 cm.
III. The area of the rectangle can be calculated using the formula:
Area = length × width
Substituting the values, we have:
Area = 17 cm × 12 cm = 204 cm²
Therefore, the area of the rectangle is 204 cm².
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Four students have interviews for summer internships. One is a first-year student, two are second-year students, and one is a third-year student. They are interviewed in the following order: third-year student, second-year student, first-year student, and second-year student. The following conditions apply:
Ashley interviewed after Carlos but before Brianna.
David interviewed before Carlos.
Brianna interviewed last.
Who is the first-year student?
Answers
Answer:
Ashley
Step-by-step explanation:
Lets understand the conditions.
Carlos < Ashley < Brianna
David < Carlos
Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is
David, Carlos, Ashley, Brianna
Since Ashley was interviewed third, she is the first year student
Cheers
The figure below will be rotated 90º clockwise about the origin, translated 9 units down, and then reflected about the y-axis.
Answers
When the figure passed through the transformations the image formed is similar to the image at B as attached
How to get the image of the transformationThe figure is in the second quadrant
clockwise rotation 90degrees about the origin will being the figure to the first quadrant
Translation 9 units down will bring an image to the -6 of the y direction in the fourth quadrant
reflection over the y axis will create a mirror image of the figure and make the image at the third quadrant
The option B correctly shows the final image
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a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
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If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.
Answers
He bought 2 watches for $400
400/2=200
Each watch was $200
He gained 5% on one watch
200•1.05=210
He lost 5% on the other
200•0.95=190
210+190=400
Therefore he neither made nor lost any money
Solve for x
A) 42
B) 40
C) 45
D) 38
Answers
Answer:
x = 40
Step-by-step explanation:
Using similarity theorem, we have the following:
\( \frac{24}{24 - 15} = \frac{x}{x - 25} \)
Solve for x
\( \frac{24}{9} = \frac{x}{x - 25} \)
Cross multiply
\( 24(x - 25) = x(9) \)
\( 24x - 600 = 9x \)
Subtract 24x from each side
\( - 600 = 9x - 24x \)
\( - 600 = -15x \)
Divide both sides by -15
40 = x
x = 40
(Set up and solve the system, then answer the associated question)
An indoor soccer team has a blue and a red division. There is one more team in the red division than the blue division. The average number of goals scored per week in the blue division is 4.2 and the average number of goals scored per week in the red division is 4.5. The average number of goals scored per week in both leagues combined is 48 total goals. How many teams are in each division?
(I think I’m mostly stuck on how I would set this problem up, but I would appreciate any help at all!! Thank you ^^)
Answers
9514 1404 393
Answer:
red division: 6 teamsblue division: 5 teamsStep-by-step explanation:
We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.
r - b = 1 . . . . . . there is 1 more red team than blue
4.5r +4.2b = 48 . . . . . . total goals scored per week
__
Solving by substitution, we have ...
r = b +1
4.5(b +1) +4.2b = 48 . . . . substitute for r
8.7b +4.5 = 48 . . . . . . . . simplify
8.7b = 43.5 . . . . . . . . . . subtract 4.5
b = 43.5/8.7 = 5 . . . . . divide by 8.7
r = b +1 = 6 . . . . . . . . . find r
There are 6 red teams and 5 blue teams.
_____
Additional comment
The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.
A company has 35% and 3% hydrogen peroxide solutions. They need an 8 L container with a
12% concentration of hydrogen peroxide.
How much of the 3% hydrogen peroxide solution should they include in the container?
Answers
Answer:
5.75l
Step-by-step explanation:
Company includes 5.75L of 3% hydrogen peroxide solution in the container.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Concentration of hydrogen peroxide solutions in different containers are 35% and 3%.
Since, company wants 8 liter container with 12% concentration of hydrogen peroxide.
Use mixture and allegation property,
35 3
12
9 : 23
Total quantity = 23x + 9x = 32x
Since, company wants 8 liters,
therefore, 32x = 8 ⇒ x = 1/4
The quantity of 3% hydrogen peroxide solution will be = 23x = 23/4 = 5.75
The required quantity of 3% hydrogen peroxide solution is 5.75L.
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if i have 100 dollars to spend and i get a 40 percent discount how much can i spend in all with the 40percent discount? to use the full 100$
Answers
Answer:
You will need to spend $250Explanation: 250 x 0.40 = 100
What is the missing angle in the triangle?
Answers
Answer:
59°
Step-by-step explanation:
there is a total of 180° in a triangle
therefore,
180-77-44= 59
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
Answers
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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a rectangular garden is 3 times as long as it is wide .the perimeter is 32m . find the dimensions of the garden
Answers
Answer:
Width= 4
length= 12
perimeter= (16+4)×2
3x+3x+x+x=32, let x be the dimensions
8x=32
x=4
so 3(4)=12
Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
Answers
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
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