Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!
Our work: -2x + 4 = 5 - 3x
Answer:
x=1
Step-by-step explanation:
-2x + 4 = 5 - 3x
Add 3x to each side
-2x+3x + 4 = 5 - 3x+3x
x +4 =5
Subtract 4 from each side
x+4-4 =5-4
x =1
An estate valued at $60 000 is divided among
three daughters Annette, Betty and Carol in the
ratio 1:2:3 respectively.
(a) Calculate the amount each received.
Answer:34 13
Step-by-step explanation:
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How do you show that f and G are inverses of each other?
First make the graph of the functions, then if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Symmetric
A figure or shape that can be divided into two equal parts by a line is called symmetric figures.
Inverse Functions
The inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.
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Find the x- and y-intercepts of the graph of -2x + 3y = 34. State each answer as an integer or an improper fraction in simplest form.
The x and y-intercept are the point at which graph cuts the respective axis thus the x-intercept of -2x + 3y = 34 is (-17,0) while y-intercept is (0,34/3).
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand the behavior of the graph.
As per the given graph,
-2x + 3y = 34
The x-intercept is the point on the x-axis where the function cuts and since at the x-axis the value of y is 0 thus its coordinate will be (x,0).
Substitute y = 0 into -2x + 3y = 34
-2x + 0 = 34 ⇒ x = -17 so coordinate (-17,0)
Similarly y-intercept (0,y)
0 + 3y = 34 ⇒ y = 34/3 so coordinate (0,34/3)
Hence "The x and y-intercept are the point at which graph cuts the respective axis thus the x-intercept of -2x + 3y = 34 is (-17,0) while y-intercept is (0,34/3)".
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Leah had $500 to spend shopping at the mall. She saw some clothes and shoes she liked and spent $345. She also wants to buy some video games for her younger brother, they are on sale for $20 each, including tax. Enter the maximum number of video games Leah can buy with the remaining money. _ (explain)
Answer:
To determine the maximum number of video games Leah can buy with the remaining money, we need to first calculate how much money she has left after buying the clothes and shoes.
Amount spent on clothes and shoes = $345
Amount left to spend = $500 - $345 = $155
Next, we need to determine the cost of each video game, including tax. If the sale price of each video game is $20, including tax, then we can assume that the actual price of each game before tax is less than $20. Let's assume that the actual price before tax is x. Then, if tax is added at a rate of t (where t is a decimal), the total price of the game including tax is:
Total price = x + t*x = x(1+t)
If the total price is $20, we can solve for x:
x(1+t) = $20
x = $20/(1+t)
We don't know the tax rate, but we can assume that it is a percentage of the actual price, and therefore less than 100%. Let's assume a tax rate of 10%, or t = 0.1. Then:
x = $20/(1+0.1) = $18.18
So each game costs $18.18 before tax.
Now we can calculate how many games Leah can buy with her remaining money:
Number of games = Amount left to spend / (Price per game + Tax per game)
= $155 / ($18.18 + 0.1*$18.18)
= $155 / $19.99
≈ 7.75
Since Leah cannot buy a fraction of a game, she can buy a maximum of 7 video games with the remaining money.
Step-by-step explanation:
hope this helps you
Question 1 Linearize f(x)= ³√x+1 when x=7
The linear approximation of f(x) = ³√(x+1) at x = 7 is given by y = (1/12)(x - 7) + 2.
To linearize the function f(x) = ³√(x+1) at x = 7, we can use a technique called linear approximation. The linear approximation of a function at a given point involves finding the equation of the tangent line to the graph of the function at that point.
First, let's find the derivative of f(x) = ³√(x+1). We can use the chain rule to differentiate this function:
f'(x) = (1/3)(x+1)^(-2/3)
Next, we evaluate f'(7) to find the slope of the tangent line at x = 7:
f'(7) = (1/3)(7+1)^(-2/3)
= (1/3)(8)^(-2/3)
= 1/12
Now, we have the slope of the tangent line, which is 1/12. Using the point-slope form of a line, we can write the equation of the tangent line:
y - f(7) = f'(7)(x - 7)
To find f(7), substitute x = 7 into the original function:
f(7) = ³√(7+1)
= ³√8
= 2
Substituting f(7) = 2 and f'(7) = 1/12 into the equation of the tangent line, we get:
y - 2 = (1/12)(x - 7)
Rearranging the equation, we can linearize f(x) at x = 7:
y = (1/12)(x - 7) + 2
Therefore, the linear approximation of f(x) = ³√(x+1) at x = 7 is given by y = (1/12)(x - 7) + 2.
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Suppose we have a continuous random variable X with probability density function f(x) and cumulative distribution function F(x). Which of the following statements must be true?
Select all that apply:
0 ≤ F(x) ≤ 1.
F(x) = 1 for at least one value of x.
F(x)= 1 for all values of x > a, where a is a constant.
F(x) = f(x).
The statements that must be true are 0 ≤ F(x) ≤ 1 and F(x) = 1 for at least one value of x. The statements that are false are F(x)= 1 for all values of x > a, where a is a constant, and F(x) = f(x).
0 ≤ F(x) ≤ 1: This statement is true because the cumulative distribution function is a non-decreasing function. This means that the cumulative distribution function can never decrease, so the value of F(x) can never be negative, and it can never be greater than 1.
F(x) = 1 for at least one value of x: This statement is true because the cumulative distribution function is the probability that the random variable is less than or equal to the given value of x. As the random variable can take on any value, there must be at least one value of x for which the probability that the random variable is less than or equal to x is 1.
F(x)= 1 for all values of x > a, where a is a constant: This statement is false because the cumulative distribution function is a non-decreasing function, so the value of F(x) will increase as x increases. Therefore, the value of F(x) will not be 1 for all values of x greater than a.
F(x) = f(x): This statement is false because the cumulative distribution function is the integral of the probability density function. Therefore, the cumulative distribution function is not equal to the probability density function.
The statements that must be true are 0 ≤ F(x) ≤ 1 and F(x) = 1 for at least one value of x. The statements that are false are F(x)= 1 for all values of x > a, where a is a constant, and F(x) = f(x).
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it took oliva 2 hour to drive 240 miles. at this rate how long does it take to drive 80 miles
Answer:
40 minutes
Step-by-step explanation:
rate = distance/time = miles/hr
rate = 240 mi/2 hr = 120 mi/hr
time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes
(0.67 hr)(60 min/hr) = 40 minutes
I need answers for this.
Answer:
18, 24, 8, 3
Step-by-step explanation:
8a = 42 - 18
8a = 24
a = 24 / 8
a = 3
To check, plug 3 into the equation
8(3) = 42-18
24 = 24
Answer:
8a = 42 - 18
8a = 24
a = 24 ÷ 8
a = 3
Step-by-step explanation:
To find the steps to the equation, we must solve the equation.
Step 1: Subtract 18 from both sides.
\(8a = 42 - 18\) \(8a = 24\)Step 2: Divide both sides by 8.
a = 24 ÷ 8 a = 3Therefore, the answers are 18, 24, 8, and 3.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
when looking at the results of a 90% confidence interval, we can predict what the results of the two-sided significance test will be:
When looking at the results of a 90% confidence interval, we can predict the results of a two-sided significance test as follows: if the confidence interval does not include the null hypothesis value, then the two-sided significance test will reject the null hypothesis at the 10% significance level.
Conversely, if the confidence interval includes the null hypothesis value, then the two-sided significance test will fail to reject the null hypothesis at the 10% significance level. This is because the confidence interval provides a range of plausible values for the true population parameter, and if the null hypothesis value is not within this range, then it is unlikely to be true, leading to rejection of the null hypothesis.
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help PLSSS ITS MY BIRTHDAY :D IM STUCKKK ILL GIVE BRAINLIST
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.
To solve this problem, we can do it in one step with the help of one theory. I'll start off with that below.
If we have been given a few equations in the form of \(y=mx+b\), we know that \(b\) is the y intercept. Therefore, for the first equation that you have shown, \(a(x)=-x-1\) the y intercept would be \((0,-1)\).
Now that we know this, we can find the intercepts of them both and see which one is greater.
\(a(x)=-x-1\)
Based on the theorem we saw before, the y intercept for this is (0,-1).
\(b(x)=2^x -3\)
With the same theorem above, we know the y intercept for this is (0.-3)
Therefore, \(-1>-3\) so we would get our answer.
We know that (0,-1) is higher than (0,-3). Therefore, your answer would be A.
Cheers!
Kwame fills a bird feeder with seeds. As
birds visit the feeder, the height of the
seeds changes from 13.6 cm to 11.1 cm
over a period of 6 1/4 hours. What is the
average change in the height of the seeds
each hour?
Answer:
Step-by-step explanation:
Givens
Time = 6.25 hours
distance = 13.6 cm - 11.1 cm = 2.5 cm
Formula
rate = distance / time
Solution
rate = 2.5 / 6.25
rate = 0.4 cm/hour
Expand math show all work no pics plz
3(4x + 2) = 12x + 6
- 5c(3c - 6) = - 15c^2 + 30c
\(hope \: it \: helps \\ ray4918 \: \: here\)
Answer:
3(4x+2)= 12x+6.
-5c(3c-6)= -15c^2+30c.
Lots of points and brainliest!!!
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Answer:
The toy falls at a rate of at least a Negative one-half meter per second.
Step-by-step explanation:
Answer:
the awnser is a or the pool is 1 meter deep
Step-by-step explanation:
i am smart and i got it right when i did it
the graph below is the correct graph function y = -7x + 14 and the intercepts. true or false
Answer:
true
Step-by-step explanation:
The value of the expression -a -bl when a = 7
and b = -3
Answer:
Option 1 -----> -10
Step-by-step explanation:
Substitute a and b into the equation :
-{a-b} =
-{7-(-3)} =
-{7+3} =
-{10} =
-10 ---> Option 1
Hoep this helped and brainliest please
In the number shown, which digit is in the thousandths place? 125,063.789
Answer:
9
Step-by-step explanation:
125,063.78'9'
Andrew had a piece of foam in the shape of a rectangular prism as shown below. Thebase is a square with sides 3 Inches long, and the piece is 5 Inches taill. He out the
foam along the diagonal plane shown by the shaded area.5 inches 3 inches Which of the following is closest to the area of the shaded diagonal plane? 19.3 square inches 12 square Inches 15.8 square inches 17.5 square inches
The area of the shaded diagonal plane is 17.5 square units.
What is the area of the shaded diagonal plane?The area of the shaded diagonal plane is calculated as follows:
Using Pythagoras' theorem, let the hypotenuse formed by the diagonal be x
x² = 3² + 5²
x² = 9 + 25
x² = 34
x = √34
The shape of the shaded plane is a rectangle.
The area of the rectangle will be:
Area = length * width
Area = √34 * 3
Area do the shaded plane = 17.5 square units
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Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
Tell whether each of the following is a function.
1. Which of the following could be a function? Select three that apply.
A {(2,5),(4, -3), (-2,1),(1,6)}
B {(1,3), (2, 1), (3,5), (1, -3)}
C {(-1, 1), (0,0), (1, 1), (-2,2)}
D {(0,0), (2,4), (2,-4), (3,9)}
E {(-2,8),(-3,-27),(-1,1),(3,27)}
Answer:
A, C, E
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value. Examples would be {(2, 2), (2,3)} and {(1,0), (1,5)}.
A - This could be a function because it follows the above rule.
B - This can not be a function because it has an x-value that has two y-values.
C - This could be a function because it follows the rule.
D - This can not be a function because it has an x-value that has two y-values.
E - This could be a function because it follows the rule.
68
Ч1
find c in the upside down triangle
Answer:
71°
Step-by-step explanation:
What is an angle?An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, forming the sides of the angle.
If we know that all 3 of a triangle's angles must add up to 180°, we can use this expression to solve for the missing angle:
angle 1 + angle 2 + angle 3 = 180°Inserting our 2 angles into the expression gives:
68° + 41° + angle 3 = 180°To solve for angle 3, we can rearrange the equation above:
180 - (68 + 41) = angle 3Solving this equation gives us:
71° = angle 3Therefore, the measure of the missing angle is 71°
Answer:
71°
Step-by-step explanation:
What is an angle?
An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, forming the sides of the angle.
If we know that all 3 of a triangle's angles must add up to 180°, we can use this expression to solve for the missing angle:
angle 1 + angle 2 + angle 3 = 180°
Inserting our 2 angles into the expression gives:
68° + 41° + angle 3 = 180°
To solve for angle 3, we can rearrange the equation above:
180 - (68 + 41) = angle 3
Solving this equation gives us:
71° = angle 3
Therefore, the measure of the missing angle is 71°
Each circle in the figure below has radius 7. If AB is tangent to both circles, which of the following is the best estimate of the area of the shaded region?A. 21B.41C.49D.60
To solve this question we will use the following diagram:
Notice that the area of the shaded region is the area of the rectangle with length 14 and width 7 minus 2 times a quarter of the area of a circle with radius 7, meaning:
\(SA=14\times7-2(\frac{\pi\times7^2}{4}).\)Reducing the above expression we get:
\(\begin{gathered} SA=98-\frac{\pi\times49}{2}, \\ SA\approx21.03. \end{gathered}\)Answer: The best estimation of the area of the shaded region is option A) 21.
One section of the reporting period test in history had 35 true or false questions. Maria answered 75% of the questions correctly. How many of the questions did she answer incorrectly?
Answer:
29 correct
Step-by-step explanation:
i honestly dont know how to explain this so its probably wrong but you know...
In the early stages of the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of reported cases could be approximated by A(t)-167(1.18) (0 ≤t<20) where t is the number of days after March 17, 2003 (the first day for which statistics were reported by the World Health Organization) What was the average rate of change of A (t) from March 17 to March 237 Round answer to 1-decimal place. Question 20 1 pts Continuing with the previous question at what rate were the number of reported cases increasing on March 17, 20037 Round value to 2-decimal places D Question 211 1 pts Continuing with the previous question interpret the rate you computed in terms of the SARS epidemic in 3 parts Refer to the document about interpreting a derivative in the Files area of Canvas if you have forgotten how to do this 124 BIU 9 TA 63
a. An exponential model that predicts the number of cases t
days after April 1, 2003 is : 1.04
b. The number of cases on April 29, 2003 is 5412
Exponential Growth:When a quantity grows at a constantly increasing rate, we can represent it using the exponential growth function. It is represented as the expression \(ab^x\).
Where:
a is the initial value.
b is the growth factor.
The given information is:
It is given that cases were increasing by 4% each day and there were 1804 cases on April 1, 2023 We need to find the exponential model to predict the number of cases and the number of cases on April 29, 2003Take y to be SARS cases and t to be time in days since April 1, 2003
The exponential growth will be \(y = ab^t\)
So, on April 1, 2003:
1804 = \(ab^0\)
a = 1804
Cases are increasing at 4% each day.
So, cases after 1 day are:
4% of 1804 + 1804 = 72.16+1804
= 1876.16
Thus, 1876.16 = 1804\(b^1\)
\(b=\frac{1876.16}{1804}\)
b = 1.04
Thus the exponential growth is given by:
\(y = 1804(1.04)^t\)
On April 29, 2003, there will be 28 days.
So, the number of cases on April 29, 2003
\(y = 1804(1.04)^2^8\)
≈ 1804(3)
= 5412
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The given question is not proper form, so i take similar question:
A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of cases was increasing by about 4% each day. On April 1, 2003, there were 1,804 cases.
a. Find an exponential model that predicts the number of cases t
days after April 1, 2003.
b. Use it to estimate the number of cases on April 29, 2003.
Samantha is trying to decide which cell phone plan to
buy. Crock Cell phone company offers a 25 dollar per
month plus 4 dollars for each gig of data or 45 dollars for
unlimited data up to 10 gigs before limiting the speed per
month. Which plan is the best deal? Make equations for
each choice than a table and graph. Explain which one is
the better buy and why?
Answer:The second one is better
Step-by-step explanation:
16(25+x) written in standard form
Answer:
400 + 16 x
Step-by-step explanation:
hope this helps
In geometry, the base and _______ must make a right angle.
Answer:
hypotenuse(?)
Step-by-step explanation:
The seats on the right side of the school bus fit two students each. The seats on the left side of the school bus can fit three students each. There are 14 rows of seats. Eight students can fit in the very back seat. How many people can ride the bus at one time (Remember to count every person)?
Answer:
79
Step-by-step explanation:
From Question, we are told that, there are 14 rows of seat with is divided into left hand side and right hand side
Seats by the right = fit two people
Seats by the left = fit three people
This means, 1 row of seat can contain 5 persons
The back seat = 8 people can sit comfortably.
Hence, the number of people that can ride the bus at one time =
(14 × 5 people) + 8 people (backseat) + 1 driver
= 70 + 8 + 1
= 79 people
ASAP PLZ HELP ME WILL MARK AS BRAINLIST IF RIGHT ANSWER
Answer:
28
Step-by-step explanation:
AB
4(7)=28
Answer:
3/4 BC or 3/2 CD
Step-by-step explanation:
AB = 3
BC = 4
4 x 3/4 = 3
CD = 2
2 x 3/2 = 3
what is the purpose of using prefixes in the metric system
The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.
If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying
Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.
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