Calculus
Limits, derivatives, optimization, and behavior of functions.
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name janixah green id reserved. date 12/19/25 period 4 2) y = -4x coord…
To graph \( y=-4x \): 1. Recognize it's a linear equation with slope \(-4\) and y - intercept \(0\) (passes through \((0,0)\)). 2. Find another point: For \( x = 1\), \( y=-4\) (p…
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understanding credit / loans use the information below to answer the qu…
B. borrowing limit
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understanding credit / loans use the information below to answer the qu…
B. careful consideration of credit card usage (assuming the options are labeled with letters, if not, the option text "careful consideration of credit card usage")
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write 0.01 as a fraction.
\(\frac{1}{100}\)
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understanding credit / loans use the information below to answer the qu…
B. loans (assuming the options are labeled with identifiers, but based on the content, the correct option is the one with "loans")
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given the following exponential function, identify whether the change r…
The function represents decay with a percentage rate of decrease of \( 9\% \).
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10 match each principle with its description. popular sovereignty limit…
- "A division of power between the federal government and the states" → Federalism - "The government can only exercise powers granted to it by the Constitution" → Limited Governme…
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passage 1: in defense of self - checkout to self - checkout, or not to …
allocate
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passage 1: in defense of self - checkout 1 to self - checkout, or not t…
D. It creates a lighthearted mood by describing a common experience.
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passage 1: in defense of self - checkout to self - checkout, or not to …
D. It creates a lighthearted mood by describing a common experience.
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question 2 special service campaigns select the correct option and clic…
B. Have time and/or mileage limitations (assuming the options are labeled A, B, C, D with B being "Have time and/or mileage limitations")
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passage 1: in defense of self - checkout to self - checkout, or not to …
B. The author introduces an argument that self - checkout has value. E. The author emphasizes the idea that store customers have options.
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which statement best describes the difference between \five questions t…
a. "Five Questions to Ask in a Job Interview" gives advice to people before their employment, and "Tips for Talking to Supervisors" gives information to people after they are empl…
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small group: structure directions: complete the vocabulary activity bas…
a. offer, c. put up ### For the second task (alleviate):
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multiple choice question 19 how did president roosevelt roosevelt asser…
D. negotiating a peace treaty between Russia and Japan to maintain the balance of power in Asia to protect U.S. economic interests
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finding range: 9. which graph best represents a function with a range o…
C. The graph in option C (the graph with a minimum point at \( y = 3 \) and increasing from there)
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compare the table and graph below. which of the functions has a greater…
Function 2
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available: dec 9, 2025 8:05am until dec 9, 2025 9:05am details no addit…
\(-7\)
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write the equation of the line in point - slope form using the indicate…
\(y + 5 = -\frac{3}{5}(x - 3)\)
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what does the maximum taxable earnings limit for social security establ…
The highest amount of annual income that can be taxed for Social Security.
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the movement of the progress bar may be uneven because questions can be…
C. (3, 1)
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1. draw a line from each statement to the graph it describes. note the …
First blank (slope calculation): \( 2 \) Second part (substitute into \( y=mx + b \)): \( -3=2\times1 + b \) (or \( -3 = 2 + b \)) Third part (solve for \( b \)): \( b=-5 \) Fourt…
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find the volume of the solid formed by rotating the region enclosed by …
The volume of the solid is \( \frac{1697\pi}{33} \) (or approximately \( 161.52 \))
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find the sum of the first 8 terms of the following sequence. round to t…
\(8062152\)
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in 1816, thomas jefferson wrote: i am certainly not an advocate for fre…
A. Laws must change as society changes.
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which are points on the graph of $y = 1.5 + \\lfloor x \ floor$? select…
\((-4.5,-2.5)\), \((7.9,9.5)\), \((1.3,3.5)\)
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which is the best description for the graph? the graph increases, remai…
B. The graph decreases, remains constant, then decreases again.
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which is the best description for the graph? the graph increases, remai…
The graph decreases, remains constant, then decreases again. (The option: "The graph decreases, remains constant, then decreases again.")
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5. what is the horizontal asymptote of $y = \\frac{4x + 1}{2x}$ show yo…
\( y = 2 \) ### Question 6
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tonys gross pay for the month is $2,400. tonys deduction for federal in…
C. $183.60
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the following question has two parts. first, answer part a. then, answe…
A. A written bill of rights is necessary to ensure individual liberty. ### Part B
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1. what is the vertical asymptote of $y = \\frac{3}{x + 5}$? 2. what is…
The vertical asymptote is \(x = - 5\) ### Sub - question 2:
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3. which of the following best explains why the romani ethnic group is …
A. The scale of analysis of the data reflects that the Romani are a large minority group but are not a majority in any region.
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5) which of these polynomial functions is graphed below? a. y= 2x³ -3x²…
A. \( y = 2x^3 - 3x^2 \) ### Question 6
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question 20 bioethics is the study of ethical, social, and legal issues…
c. Passing a law to allow doctors to euthanize humans who are terminally ill.
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a function ( g(x) ) is defined as shown, g(x) = \begin{cases} 2 + 3x, &…
12
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the inverse of the function $f(x) = \\frac{1}{2}x + 10$ is shown. $h(x)…
20
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mhf4u1 quiz v - factor theorem name: hossam emari answer all questions …
s: a) - For \(f(x)\): Possible rational roots are \(\boldsymbol{\pm1,\pm2,\pm4,\pm\frac{1}{2}}\) - For \(g(x)\): Possible rational roots are \(\boldsymbol{\pm1,\pm2,\pm3,\pm4,\pm6…
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problem set 1. **a local grocery delivery service charges a flat pickup…
$T = 1.8x + 3.5$ ### Part (2a)
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u4: warm-up #26: interpreting & using function notation function f give…
\( f(13.5) = 20 \) (the third option)
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2) sin x find the trig ratio: sinx 4/5 3/5 5/3 5/4
3/5
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advanced graphing practice 1. $y = x - 5$ 2. $y = (x - 5)$ 3. $y = (x +…
To graph \( y=x - 5 \) (or \( y=(x - 5) \)): 1. Plot the y - intercept at \( (0,-5) \). 2. Plot the x - intercept at \( (5,0) \). 3. Draw a straight line through these two points.…
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writers should avoid jargon because jargon a. takes too long to use b. …
d. Is difficult for many to understand
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directions: begin at the start. complete the maze by following the path…
# Explanation: ## Step1: Calculate \( f(16) \) for \( f(x) = 2x + 4 \) Substitute \( x = 16 \) into \( f(x) = 2x + 4 \): \( f(16) = 2(16) + 4 = 32 + 4 = 36 \). Follow the path lab…
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exploration, conquest, and interaction besides isolationism, what is an…
The correct option is the one with the text: "China feared Christian evangelism was harming Confucian tradition." (the top - left boxed option)
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f(x) = 3x² - 3 = 3(x + 1)(x - 1) g(x) = x² + 4 f(x) = 3x² - 3 g(x) = x²…
- \( f(x) = 3x^2 - 3 \) corresponde al **gráfico de la izquierda**. - \( g(x) = x^2 + 4 \) corresponde al **gráfico de la derecha**.
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use the aleks calculator to approximate \\(\\sqrt{166}\\). round your a…
\( 12.88 \)
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2 slope: ____________
\(1\)
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tion for lines through the origin line through the origin has the form …
\(\frac{4}{5}\)
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tom drew a line that was $2\\frac{5}{8}$ inches long. if he drew a seco…
\( \frac{23}{24} \)
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mhf4u1 in class assignment – factor theorem name: ______________ answer…
The fully factored form of \( f(x)=x^5 - 18x^3 + 81x \) is \( \boldsymbol{x(x - 3)^2(x + 3)^2} \)
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try it find the slope of the line on each graph. 1 slope: ____________
\(2\)
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if ( f ) is a function with the property that ( f(-x) = f(x) ) for all …
A. The graph of \( f \) is symmetric to the \( y \)-axis.
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question 12 1 pts ma.912.f.1.5 which function has the greatest slope? a…
D. \(y=\frac{9}{5}x + 1\)
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qualifications for presidency & the line of succession directions: arti…
20th Amendment: Changes the start and end dates of presidential terms (succession and transition). 22nd Amendment: Limits presidents to two terms. 25th Amendment: Addresses presid…
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limiting contact with foreigners was the main goal of chinese kowtowing…
isolationism.
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what is the value of the expression $8 - \\left( \\frac{2}{3} + \\frac{…
B. 2
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4) sqrt10{(x - 2)^{10}}, если x geqslant 2.
\(x - 2\)
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evaluate the expression below at x = 4. \\frac{x}{28 + 4x^3} a. \\frac{…
B. $\frac{1}{16}$
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type the correct answer in each box. use numerals instead of words. if …
8 64 8
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ming dynasty during the period of isolationism, why were the chinese su…
The option "Chinese goods were in high demand." (the bottom - most option among the given ones)
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4 of 10 which type of loan has a higher borrowing limit, a subsidized o…
A. Unsubsidized loan
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5. graph each quadratic function $y = -3x^2 + 2$.
To graph \( y=-3x^{2}+2 \): 1. Plot the vertex at \( (0,2) \). 2. Plot symmetric points like \( (1, - 1) \), \( (-1, - 1) \), \( (2, - 10) \), \( (-2, - 10) \) (or others). 3. Dra…
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part a. draw the horizontal asymptote. include the equation for this as…
The equation of the horizontal asymptote is \(y = 0\). To draw it, draw a horizontal line along the \(x\) - axis (since \(y = 0\) is the \(x\) - axis) on the given coordinate plan…
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8.9b how does the text make a connection between an outside temperature…
It explains that the hotter the air temperature, the better the food will cook in the solar oven.
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* 16. connect there are 100° on the celsius scale from the freezing tem…
\(18^\circ\) Fahrenheit ### Problem 17
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match the description to the type of persuasive technique. hasty genera…
- hasty generalization → uses insufficient evidence - ad hominem → attacks person rather than argument - false dilemma → offers a limited number of options
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1. determine each feature of the graph of the function f(x)= \\frac{x^2…
Horizontal Asymptote: (no horizontal asymptote, leave blank) y - Intercept: \((0,0)\) Vertical Asymptote: (no vertical asymptote, leave blank) x - Intercept: \((0,0)\) Hole: \((4,…
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the following table lists the values of functions f and g, and of their…
\( 8 \)
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the following table lists the values of functions g and h, and of their…
\( 28 \)
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problem: after a hurricane, a humanitarian group is sending food and cl…
### Step 1: - Circle: maximum - Objective Function: \( N = 12x + 5y \) ### Step 2a: Weight Constraint: \( \boldsymbol{50x + 20y \leq 19000} \) ### Step 2b: Volume Constraint: \( \…
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the following table lists the values of functions f and h, and of their…
\(-30\)
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the following table lists the values of functions f and g, and of their…
\(6\)
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part a. complete the table to show the values for each function x | f(x…
\( x = 4 \)
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two functions are shown below. $f(x) = 3x + 7$ $g(x) = 2x + 13$ what is…
6
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question use point - slope form to write the equation of a line that pa…
$y - 12 = -\frac{7}{8}(x + 14)$
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line equations from point/slope (point slope form) score: 0/2 penalty: …
\( y + 10=\frac{1}{3}(x + 2) \)
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line equations from point/slope score: 0/2 penalty: none question what …
$y = \frac{3}{2}x + 5$
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partner practice 1. $2 \\div \\frac{1}{5} =$ 2. $1\\frac{5}{6} \\div \\…
\(10\) ### Problem 2:
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1.2 determine the correct end behavior for the following functions. dra…
El gráfico de la parábola (el segundo gráfico, el de la parábola que abre hacia arriba) tiene el comportamiento final \(As\ x ightarrow\infty, f(x) ightarrow\infty\) y \(As\ x igh…
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complex fractions and unit rates simplify. 1. \\(\\frac{\\frac{1}{3}}{4…
# Explanation: ## Step1: Recall the rule for dividing fractions To simplify a complex fraction \(\frac{\frac{a}{b}}{\frac{c}{d}}\), we use the rule \(\frac{\frac{a}{b}}{\frac{c}{d…
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average rate of change: to find the average rate of change use the slop…
Parte A: La tasa de cambio promedio es \(-3\). Parte B: La tasa de cambio promedio es \(3\).
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2 average rate of change: to find the average rate of change use the \s…
-3 ### Parte B:
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solve $-\frac{1}{4}x^2 + x + 1 > 0$ by graphing. select the correct gra…
B) \(\{x \mid -0.83 < x < 4.83\}\)
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solve $3x^2 - 5x + 1 < 0$ by graphing. select the correct graph and sol…
B) \(\{x\mid 0.23 \leq x \leq 1.43\}\)
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4 a teacher charges a tutoring fee of $50 and $15 per hour of tutoring.…
D. The fee of $50 represents the y - intercept. F. The rate of $15 represents the slope.
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this equation shows the amount of a candle that is left (in ounces) aft…
B. 12; the ounces in the candle before it burns
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8.- use the following rational function: $r(x) = \\frac{x^3 - 27}{x^2 -…
s: (a) Domain: \( (-\infty, -3) \cup (-3, 3) \cup (3, \infty) \) (b) x - intercepts: None; y - intercept: \( (0, 3) \) (c) No horizontal asymptote (d) Vertical asymptote: \( x = -…
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find the derivative of y with respect to z. y = ln (sinh 2z)
\( 2\coth(2z) \)
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find an equation for a cosine function having an amplitude of 2, period…
\( y = \boldsymbol{2}\cos(\boldsymbol{2}x + \boldsymbol{(-4)}\pi) + \boldsymbol{(-3)} \) (or filling the boxes: 2, 2, -4, -3)
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bigger of the small girls, with immense decision. \it is the only beaut…
A. annoyed
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if consumer sovereignty is considered greatest in a system of pure comp…
B. Few products are actually sold on the basis of pure competition.
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market structures and competition quiz complete 1 2 3 time remaining 58…
B. limited
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find the area of the region enclosed by the curves $y^2 - 4x = 4$ and $…
\(\frac{64}{3}\)
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48 + 5 _____ _____
53
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66 + 6 ____ ____
\(72\)
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2) 66 + 6 _____ _____
\(72\)
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Question was provided via image upload.
\(41\)
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48 + 5 ------ ------
53
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96 + 6 ____
102