微积分
极限、导数、最优化与函数性质。
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problems 4–6 use the table to determine the missing values in the funct…
\( f(-5)=\boldsymbol{17} \), \( f(\boldsymbol{5}) = 23 \), \( f(\boldsymbol{-2})=-5 \)
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score: 26.86/33 answered: 9/12 question 10 given the function $h(x) = \…
\( h^{-1}(x) = \boldsymbol{\frac{11x - 13}{10x - 9}} \) Domain of \( h(x) \): \( \boldsymbol{(-\infty, \frac{11}{10}) \cup (\frac{11}{10}, \infty)} \) Domain of \( h^{-1}(x) \): \…
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now, add and subtract from left to right. $4\\cdot 3 - (9 - 7)^2 + 6 = …
14
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evaluate the expression. (0.64 ÷ 3.2)² + 0.43 write your answer as an i…
\(0.47\)
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the graph of a linear function f has a negative slope. describe the eff…
B. The graph will be shifted to the left.
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hw 9.1_log properties 1 score: 23.86/33 answered: 8/12 question 9 (a) r…
(a) \(w\approx - 1.28\) (b) \(w\approx0.87\) (c) \(w\approx3.41\)
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evaluate the following logarithms using a calculator and the change of …
$\log_2(0.382) \approx -1.39$, $\log_6(1.38) \approx 0.18$, $\log_5(92.1) \approx 2.81$
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the height of a small rock falling from the top of a 124-ft-tall buildi…
\( 0 < t < 2 \) (corresponding to the option "0 < t < 2")
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next, evaluate the expression when the power has a different base. $5 \…
97
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now, evaluate the expression with a power. $5\\cdot4 - 3 = 17$ $5\\cdot…
77
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8. evaluate 10.2x + 9.4y when x = 2 and y = 3. 10.2(\\boxed{\\quad}) + …
First box: \( 2 \), Second box: \( 3 \), Third box: \( 20.4 \), Fourth box: \( 48.6 \)
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given $f(x) = 2x + 4$, describe how the value of $k$ affects the slope …
A. The slope is unchanged, and the y - intercept is shifted up by \(\boldsymbol{1}\) unit(s).
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plot all intercepts and asymptotes of the following rational function. …
- Vertical Asymptote: \(x=-1\) - Horizontal Asymptote: \(y = 5\) - x - intercept: \(x=-\frac{2}{5}\) (or \(x = - 0.4\)) - y - intercept: \(y = 2\)
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now, multiply. $2^3 + 20 = 2 \\cdot 2 \\cdot 2 + 20$ $= \\square + 20$
8
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evaluate groups first. a power represents a group of repeated factors. …
8
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application: the local police need a math expert to help them find an a…
The speed formula is \( \boldsymbol{s=\frac{4x^{2}-1}{4(x - 1)^{2}}} \) with restrictions \( x eq\pm1,-2,\frac{1}{2} \) ### Part (b)
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a graph of quadratic function y = f(x) is shown below. what is the solu…
\(\{x|x\in\mathbb{R}\}\)
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a soccer ball kicked from the ground with an initial velocity of 32 ft/…
\(\{t\mid 0 < t < 2\}\) (the third option)
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plot all intercepts and asymptotes of the following rational function. …
- Vertical Asymptote: \( x = 1\) - Horizontal Asymptote: \( y=-5\) - x - intercept: \( x=\frac{6}{5}\) (or \( x = 1.2\)) - y - intercept: \( y=-6\)
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write \\(\\frac{42}{11}\\) as a decimal. if necessary, use a bar to ind…
$3.\overline{81}$
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question plot all intercepts and asymptotes of the following rational f…
- Vertical Asymptote: \(x = 3\) - Horizontal Asymptote: \(y = 2\) - x - intercept: \(x=\frac{11}{2}\) (or \(5.5\)) - y - intercept: \(y=\frac{11}{3}\) (or approximately \(3.67\))
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nlet, part 3: figurative language the tragedy of hamlet, prince of denm…
A. A dull and muddy - mettled rascal, peak, Like John - a - dreams, unpregnant of my cause,
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the tragedy of hamlet, prince of denmark act ii. scene ii. (continued) …
The metaphor portrays Polonius as foolish and weak.
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the tragedy of hamlet, prince of denmark act ii. scene ii. (continued) …
A. It shows Hamlet’s confusion B. It shows Hamlet’s idleness D. It shows Hamlet’s indecision
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miot, part 3: figurative language the tragedy of hamlet, prince of denm…
A. It shows Hamlet’s confusion, B. It shows Hamlet’s idleness, D. It shows Hamlet’s indecision (assuming the options are labeled A - E with A: It shows Hamlet’s confusion, B: It s…
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the tragedy of hamlet, prince of denmark act ii, scene ii. (continued) …
Hamlet is still undecided about avenging his father’s death.
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the tragedy of hamlet, prince of denmark act ii. scene ii. (continued) …
She is deeply distraught by the sight of her murdered husband.
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plot all intercepts and asymptotes of the following rational function. …
- Vertical Asymptote: \( x=-5 \) - Horizontal Asymptote: \( y = - 6 \) - x - intercept: \( (-6,0) \) - y - intercept: \( (0,-\frac{36}{5}) \) (or \( (0, - 7.2) \))
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the tragedy of hamlet, prince of denmark act ii. scene ii. (continued) …
It reveals Hamlet’s anger with himself, It reveals Hamlet’s hesitation to act
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the tragedy of hamlet, prince of denmark act ii, scene ii. (continued) …
D. Must, like a whore, unpack my heart with words E. And fall a - cursing, like a very drab
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semester 1 final review practice divide. answer with a decimal number. …
117.2
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5. a rock is tossed into the air from a bridge over a river. its height…
The rock is tossed from a height of \( 9.4 \) metres above the water. ### Part (b)
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“his father had turned into an old man and he hadn’t even noticed.” 1 l…
Literature (under Arts)
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3. graphing linear inequalities graph the following inequalities. shade…
To graph \( y\leq2x + 1 \): 1. Draw a solid line with slope 2 and y - intercept 1 (passing through points like \( (0,1) \), \( (1,3) \), \( (-1,-1) \) etc.). 2. Shade the region b…
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divide. 1,025 ÷ 25 =
41
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debt ratio is calculated by ______. (1 point) ○ adding all that you owe…
C. adding all that you owe and dividing by your total available credit limit
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5. a rock is tossed into the air from a bridge over a river. its height…
The rock is tossed from a height of \( 9.4 \) metres above the water. ### Part (b)
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suppose $f(x) = x^2$. what is the graph of $g(x) = f(3x)$? a. graph b. …
A. The graph with the narrower upward - opening parabola (as described in the analysis)
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suppose $f(x) = x^2$ and $g(x) = 4x^2$. which statement best compares t…
A. The graph of \( g(x) \) is the graph of \( f(x) \) vertically stretched by a factor of 4.
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7) write an equation that would graph the points of intersection in the…
To find the equation for the intersection points of the two graphs, we set the two functions (say \(y = f(x)\) and \(y = g(x)\)) equal to each other. By analyzing the graph, if we…
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score on last try: 2.67 of 4 pts. see details for more. at least one sc…
$\ln(a) + \ln(g)$
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f(x) = x². what is g(x)? graph with f(x) (blue parabola) and g(x) (red …
A. \( g(x)=\frac{1}{4}x^2 \)
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suppose $f(x) = x^2$. what is the graph of $g(x) = \\frac{1}{2}f(x)$? o…
C (assuming the third graph is the correct vertically compressed parabola opening upwards with vertex at the origin)
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input output 3 6 5 7
10
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quadratic functions perform the following actions and answer accordingl…
### For "a" - related questions: - When \( a \) slider moves right ( \( a \) increases, \( a>0 \) scenario): Parabola vertically stretches (narrower, if \( a>0 \)) or reflects/ st…
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question 1-1 in which situation could the product of $-15\\frac{1}{2} \…
The temperature of the lake water decreased by \( 15\frac{1}{2}^\circ\text{F} \) per day for \( 3\frac{1}{2} \) days. What was the overall change in the temperature of the lake wa…
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determine the range of the following graph: answer submit answer ∅ or ∪…
\([-1, 5]\)
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read the excerpt from amy tans essay \mother tongue.\ i know this for a…
D. when I was growing up
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question write an exponential function in the form $y = ab^x$ that goes…
\(y = 13\times8^{x}\)
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review the image and excerpt from \as debris piles up, americans are sk…
A. Half of Americans have little to no confidence that private companies will reduce space junk.
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read this claim from an argumentative essay about zoos. zoos must impro…
C. Many animals die prematurely in zoos because they are exposed to infectious diseases.
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find $h(-1)$. $f(x)$ $h(x) = 3x^2 - 4x - 2$ | $x$ | $g(x)$ | | --- | --…
\( 5 \)
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question find $f(-4)$. $h(x)$ $f(x) = 3x - 3$ | $x$ | $g(x)$ | | --- | …
\( -15 \)
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find the exact value.\\(\\int_{0}^{1} (x^2 + \\sqrt{x}) \\, dx = ?\\)
\(1\)
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find $g(3)$. $g(x)$ is a line graph on a coordinate plane. also, there …
\(-2\)
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if the simple interest on $2,000 for 6 years is $840, then what is the …
7
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question find $f(-2)$. $f(x)$ (graph of a parabola), $h(x) = 2x - 3$, t…
\( 4 \)
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if $f(x) = 4x - 2$, what is the $y$-intercept of $f^{-1}(x)$? options: …
\(\frac{1}{2}\) (the last option, assuming the options are ordered as -2, \(\frac{1}{4}\), \(-\frac{1}{2}\), \(\frac{1}{2}\))
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find $f(10)$. $h(x)$ $g(x) = -2x^2 - 4x - 2$ (chart and image of $h(x)$…
\( -2 \)
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a line passes through the point (8, -4) and has a slope of \\(\\frac{3}…
$y=\frac{3}{4}x - 10$
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the graph of a logarithmic function is shown. which interval represents…
\((-3, \infty)\)
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question find g(4). g(x) = 2x - 3 (table and graph content as shown in …
\( 5 \)
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question find $f(-4)$. $g(x)$ (graph of a parabola), $f(x) = 3x + 5$, t…
\( -7 \)
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question find ( h(-2) ). ( h(x) = -x )
2
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what is the equation of the line that passes through the point (7,4) an…
$y = x - 3$
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find the exact value. \\(\\int_{0}^{5} \\left(x^{\\frac{3}{2}}\ ight) d…
$10\sqrt{5}$ (So the first box is $10$ and the second box is $5$)
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graph the line. $y = \\frac{1}{5}x - 2$
To graph \(y = \frac{1}{5}x-2\), plot the y - intercept \((0, - 2)\) and use the slope \(\frac{1}{5}\) (rise 1, run 5) to find another point (e.g., \((5,-1)\) or \((-5,-3)\)) and …
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relative to the \parent graph,\ what happens to your graph when you mov…
### For "a" slider: - Right: Narrower (vertical stretch, \( a > 0 \) increasing). - Left: Wider (if \( a \) approaches 0) or opens downward (if \( a \) becomes negative). - \( 0 <…
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the x-coordinate (or t-coordinate) of the vertex is \\boxed{} and repre…
The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is \(\boldsymbol{0.75}\) and represents how long the ball has been in the air when it reaches maximum height. The \(y\)-co…
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what is the equation of the line that passes through the point (4, 0) a…
$y = -\frac{3}{4}x + 3$
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the linear function $g(x)$ passes through the points $(4, 2)$ and $(-2,…
As \( x \) approaches positive infinity, \( g(x) \) approaches negative infinity and \( h(x) \) approaches \( - 3 \) (the second option in the list of options, which is: As \( x \…
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question find the value of $f(8)$. $y = f(x)$ answer
7
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question find the value of f(7). y = f(x)
\(-3\)
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y = -5x + 4 option 1 option 2
Option 2
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the quick ship company uses the function c(w) to calculate the cost in …
If the weight is greater than 16 ounces, the shipping rate is $0.35 per ounce, plus $1.60.
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question find the value of $f(-7)$. $y = f(x)$ answer
3
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use a graph to solve the inequality: $x^2 - x - 12 > 0$ to solve the in…
The solution to the inequality \( x^2 - x - 12>0 \) is \( x < - 3 \) or \( x>4 \)
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f. le frecce stanno a indicare che nella sottrazione calcolo mentale 12…
\( 18 \) ### \( 161 - 39 \)
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use a graph to solve the inequality: ( x^2 - x - 12 > 0 ) to solve the …
The solution to the inequality \( x^2 - x - 12>0 \) is \( x < - 3 \) or \( x>4 \)
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use a graph to solve the inequality. $x^2 - x - 12 > 0$ graph the equat…
For \( x = 0 \): \(-12\) For \( x = 1 \): \(-12\) For \( x = 2 \): \(-10\)
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founders who supported natural rights also supported adding the bill of…
the option "they wanted to limit government power" (the bottom - left option)
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penter at an rv factory uses nails in a pneumatic nailer at a rate of 2…
The graph should be a linear graph with a y - intercept at \( (0,2500) \), a negative slope (decreasing as \( x \) increases), and an x - intercept at \( (125,0) \). (If there are…
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6.3 module 6.3: exit ticket 1. use the binomial theorem to expand each …
\(8x^{3}-12x^{2}+6x - 1\) ### Problem 2: Expand \((4x + 3y)^6\) using the Binomial Theorem
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use a graph to solve the inequality.\\(x^2 - x - 12 > 0\\)\ graph the e…
For \( x = 0 \), \( y = -12 \); for \( x = 1 \), \( y = -12 \); for \( x = 2 \), \( y = -10 \) (So the completed table cells are \(-12\), \(-12\), \(-10\) for \( x = 0, 1, 2 \) re…
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wordle unlimited (with a wordle - like grid of letters in colored squar…
CATAL (Note: There might be an error in my analysis, but based on the green - confirmed letters C, A, T and the 5 - letter word structure, this is the best guess.)
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use a graph to solve the inequality.\\(x^2 - x - 12 > 0\\)\ graph the e…
For \( x = 0 \), \( x^2 - x - 12 = -12 \); for \( x = 1 \), \( x^2 - x - 12 = -12 \); for \( x = 2 \), \( x^2 - x - 12 = -10 \). (Completing the table: when \( x = 0 \), value is …
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14. what was the earliest copyrighted film in the united states and wha…
14. The earliest copyrighted film in the U.S. is *Newark Athlete*, copyrighted on January 15, 1894. 15. The Act signed in January 1895 is the Chase Act, which prohibited unauthori…
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aurora sarabia graphing linear inequality systems (a.rei.12) systems of…
A. infinite solutions
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which of the following is closest to the approximate value of $10\\sqrt…
A. 17
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answer the following questions in complete sentences. make sure that yo…
s (for each sub - question): 1. When the slider for "a" moves to the right (assuming \( a>0 \) and increasing), the graph of the absolute value function vertically stretches (beco…
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graphing linear inequality systems aurora sarabia graphing liinear ineq…
opposite side
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find the value of f(6). y = f(x) answer attempt 1 out of 2
-5
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find the slope of the line that passes through the points (2, 4) and (6…
2
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question 13 (1 point) given the functions $f(x) = x^2 + 1$ and $g(x) = …
c) \( y = -x^{3}+3x^{2}-x + 3 \)
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question given $f(x) = 3x^2 + 9x - 16$, find $f(-8)$
\( 104 \)
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this question has two parts. part a what is the central idea of passage…
B. The Open Window surprises readers by limiting what they know. ### Part B
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graphing linear inequality systems aurora sarabia graphing linear inequ…
A. go right 1 down 1
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raphing linear inequality systems rora sarabia graphing liinear inequal…
-1 (the option with -1)
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this question has two parts. part a what is the central idea of passage…
B. The Open Window surprises readers by limiting what they know.
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which is the vertex of $f(x) = 2x^2 - 8x + 11$? a $(-2, 3)$ b $(4, 11)$…
D. (2, 3)