微積分
極限、導関数、最適化、関数挙動。
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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which statement is true regarding the graphed functions? ○ $f(0) = 2$ a…
\( \boldsymbol{f(2) = 0} \) and \( \boldsymbol{g(-2) = 0} \) (the third option: \( f(2) = 0 \) and \( g(-2) = 0 \))
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for each problem, find the: x and y intercepts, x-coordinates of the cr…
x-intercepts: 0, 3; y-intercept: 0 Critical points x: 0, 2 Increasing: (0,2); Decreasing: (-∞,0)∪(2,∞) Relative min at (0,0); Relative max at (2, 4/3) Inflection point x:1 Concave…
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sketch the graph of the quadratic function $f(x) = x^2 - 4x + 3$, label…
The vertex is \( (2,-1) \), the axis of symmetry is \( x = 2 \), the x - intercepts are \( (1,0) \) and \( (3,0) \), the y - intercept is \( (3,0) \) (wait, correction: y - interc…
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question: consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\l…
The graph is a parabola opening upward with x - intercepts at \((1,0)\) and \((3,0)\), vertex (minimum) at \((2, - 1)\), and additional points \((0,3)\) and \((5,8)\) plotted on a…
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question: consider the function $y = 2\\sin(x)$ for $0^\\circ \\leq x \…
The key points for the graph of \( y = 2\sin(x) \) in the interval \( 0^\circ\leq x\leq360^\circ \) are \( (0^\circ, 0) \), \( (90^\circ, 2) \), \( (180^\circ, 0) \), \( (270^\cir…
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a new car is purchased for 17600 dollars. the value of the car deprecia…
The value of the car after 11 years will be approximately $\boldsymbol{4829.44}$ dollars.
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use point-slope form to write the equation of a line that passes throug…
\(y + 3=-\frac{3}{7}(x + 15)\)
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study paths tx math bridge - stage 1 topic test or topic: order of oper…
4
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the graph of the function $f(x) = -\frac{1}{2}x^2 + 2x - 1$ is shown. g…
C. all real numbers
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the movement of the progress bar may be uneven because questions can be…
D. $4\frac{3}{5}$ (asumiendo que la última opción es D, ya que es $4\frac{3}{5}$)
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order these fractions from greatest to least. \\(\\frac{2}{7}, \\frac{2…
\( \frac{2}{4} \) > \( \frac{2}{5} \) > \( \frac{2}{7} \)
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the movement of the progress bar may be uneven because questions can be…
C. \( 329\frac{1}{3} \) pounds
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100 ÷ (4 - 6)² + 6
31
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question 17 of 25 think about the gaming industry as a whole. why is it…
D. A lack of diversity in character choices makes games look and feel the same and limits their potential audience.
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y = -5|x| click to plot the vertex first.
The vertex is at \((0,0)\), and other points like \((1, - 5)\) and \((-1,-5)\) can be used to plot the graph of \(y = - 5|x|\). The graph is a V - shaped graph opening downwards w…
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quadratic square root 2x² - 26 = 0
\(x = \sqrt{13}\) or \(x = -\sqrt{13}\) (or approximately \(x \approx 3.6055\) or \(x \approx -3.6055\))
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problem 6b a store is offering a 20% discount on all items. the price o…
\( 22.5 \)
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h) use the equation to complete the table of values $y = 2(x - 1)^2$ | …
For \( x=-1 \), \( y = 8 \); for \( x = 0 \), \( y = 2 \); for \( x = 1 \), \( y = 0 \) The completed table is: | \( x \) | \( y \) | | ---- | ---- | | -1 | 8 | | 0 | 2 | | 1 | 0 |
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4. jonathan subtracted 2 numbers that had a difference of 12.67. he ask…
For subtraction, possible pairs: \((12.67, 0)\), \((13.67, 1)\), etc. For addition, possible pairs: \((12.67, 0)\), \((1, 11.67)\), etc. (Any pair satisfying \(|x - y| = 12.67\) o…
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p) determine the equation of the line in y = ax + c form that has: - a …
The equation of the line is \(y=-2x + 18\)
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rate of change (slope) slope formula m = \\frac{y_2 - y_1}{x_2 - x_1} p…
\(-0.009\) (or \(-\frac{9}{1000}\))
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select the graphs that have an equation with a < 0.
The graphs with \( a < 0 \) are the second graph (blue parabola) and the third graph (purple parabola with vertex at (0,4)).
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small-business retirement plans abdoulaye is a 30-year-old small-busine…
SEP IRA; $30,000 per year
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8. jake dice que sumar 0 a un sumando no cambia la suma. ¿tiene razón? …
B. 70 ### Problem 12:
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multiple choice identify the choice that best completes the statement o…
a. \( f^{-1}(x) = x - \frac{2}{3} \) ### Question 2
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the graph of $f(x) = \\frac{1}{x}$ has been transformed to create the g…
\( h = -2 \) (assuming the question is to find \( h \); if not, but based on the graph, the horizontal shift: \( f(x) \) shifted left by 2 units, so \( h = -2 \))
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10.) the function is one-to-one. find its inverse $f(x)=sqrt{x + 5}$ a)…
a) \( f^{-1}(x)=x^{2}-5,x\geq0 \)
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warm-up: balancing freedom and common good prac... due: thu dec 18, 202…
A. Make choices without interference
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what were the outcomes of the ratification of the fifteenth amendment? …
A. Equal voting rights were upheld constitutionally. B. The right to vote was expanded to more Americans. E. Southern lawmakers created poll taxes and literacy tests in response.
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use the graphing tool to graph the functions $f(x) = \\log_{4} x$ and $…
- Features of \( f \) only: negative over the interval \( (0, 1) \) - Features of both \( f \) and \( g \): domain of \( (0, \infty) \), range of \( (-\infty, \infty) \), asymptot…
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which is the slope of the line that passes through the points (2,8) and…
The option with "slope = -1" (assuming the bottom - right option is labeled with slope = -1, or the one corresponding to the calculation result).
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which is the slope of the line that passes through the points (-2,4) an…
The slope is \( -\frac{5}{7} \) (corresponding to the option with slope \( = -\frac{5}{7} \)).
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find the horizontal asymptote. $y = \\frac{6x - 12}{2x + 12}$ $y = ?$
\( y = 3 \)
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select all of the even functions.
\( p(x) \), \( d(x) \), \( b(x) \) (the functions whose graphs are symmetric about the \( y \)-axis: the purple graph \( p(x) \), the blue graph \( d(x) \), the red graph \( b(x) …
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find the x-intercept. $y = \\frac{6x - 12}{2x + 12}$ $(?, 0)$
\( 2 \)
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find the vertical asymptote. $y = \\frac{6x - 12}{2x + 12}$ $x = ?$
\( x = -6 \)
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find the horizontal asymptote. y = \\frac{6x - 24}{2x + 12} y = ?
\( y = 3 \)
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select all of the odd functions.
The functions \( t(x) \) (green graph) and \( s(x) \) (blue graph) are odd functions.
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select all of the odd functions. k(x) = -3x⁵ - 4x³ + x v(x) = -x⁴ + 5x²…
The odd functions are \( k(x) = -3x^5 - 4x^3 + x \) and \( n(x) = 3x^5 - 2x \) (i.e., the first and third options).
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is the function r(x) even, odd, or neither? even odd neither
even
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the graph of the function f is shown below. how many points of inflecti…
1
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2 ( 9\frac{1}{2} - 5\frac{2}{3} = ) ______
\(3\frac{5}{6}\)
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what is a simple way to tell that $1\\frac{1}{4}$ is not the slope of t…
The option: "The line slants downward, so the slope is negative" (the bottom - middle option among the four choices).
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19. nathan kicks a soccer ball and the ball follows a parabolic path. i…
### Part (a) # Explanation: ## Step1: Identify Key Points The ball is in the air for 4 seconds, so it starts at \( (0, 0) \) (time 0, height 0) and lands at \( (4, 0) \) (time 4, …
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how did the decision in regents of the university of california v. bakk…
D. It protected rights by ending quotas but allowing race to be an admissions factor.
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which statement is true about the discontinuities of the function f(x)?…
There are asymptotes at \(x=\frac{3}{2}\) and \(x =-\frac{1}{3}\) (the first option).
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17. mr. bean’s custom scooter is worth $500, but is increasing in value…
a. Exponential Growth Function: \( y = 500(1.04)^t \) ### Question 18
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directions: insert a + , - , × or ÷ symbol to make the sentence true. 1…
\( 11 \times 2 - 15 + 5 = 12 \) (symbols: \( \times \), \( - \), \( + \)) ### Problem 2:
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the increase in a persons body temperature ( t(t) ), above ( 98.6^circ\…
The horizontal asymptote of \( y = 0 \) means that the person’s temperature will approach \( 98.6^\circ\text{F} \) as time elapses.
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d. \\(\\frac{1}{10} \\times 20 =\\)\\(\\frac{6}{10} \\times 20 =\\)\\(\…
$\frac{1}{10} \times 20 = 2$ $\frac{6}{10} \times 20 = 12$ $\frac{9}{10} \times 20 = 18$ $9 \times \frac{2}{5} = \frac{18}{5}$ (o $3.6$) $9 \times \frac{4}{5} = \frac{36}{5}$ (o $…
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what is a simple way to tell that $-3\\frac{1}{4}$ is not the slope of …
The option: "The line slants upward, so the slope is positive"
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what is the slope of this graph? the slope of the graph is blank. (grap…
\(-3\)
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evaluate each expression. when the answer is not a whole number, fracti…
24
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what were the effects of the plessy v. ferguson decision? check all tha…
B. It established a new precedent in declaring the law constitutional, C. It limited the rights of African American citizens, D. It allowed the policy of "separate but equal" to c…
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(left( \frac{5 + 5 \times 5 div 5 - 5}{5} ight)^5)
\(1\)
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question 1-11 determine the inverse equation of ( y = (x - 4)^2 + 2 ), …
\( y=\sqrt{x - 2}+4 \) (the second option)
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graphing linear inequalities guided notes essential question how do i g…
To graph \( y < \frac{1}{2}x + 4 \): 1. **Boundary Line**: Dashed line with slope \( \frac{1}{2} \) and y - intercept \( 4 \) (equation \( y=\frac{1}{2}x + 4 \)). 2. **Shading**: …
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2 what does it mean to \check\ the power of a branch of government? a t…
A. To limit the power of the branch
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which of the statements about the following quadratic equation is true?…
The discriminant is greater than zero, so there are two real roots.
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read the quote. what is the meaning of separation of powers as it is us…
A. the division of government responsibilities into distinct branches
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colin is setting up supplies for a sand art class. he has 3 pounds of s…
For $3\times\frac{1}{4}$ is equal to $\boldsymbol{\square\div\square}$: The first box is 3, the second box is 4. There will be $\boldsymbol{\frac{3}{4}}$ pound(s) of sand in each …
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for numbers 6 to 9, match each of the graphs to the correct equation. w…
8. \( y=-0.8x^{2}-0.7x + 3.4 \) matches graph b 9. \( y=-5.4x^{2}+5.3x + 3.4 \) matches graph c 10. \( y = 0.8x^{2}-1.6x-3.1 \) matches graph d 11. \( y=-0.8x^{2}-1.6x + 1.5 \) ma…
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el fin de semana pasado fue un fin de semana largo para sean. 1. sean l…
\(4\frac{4}{5}\) (or \(8\frac{2}{5}\) depending on fraction correction, but following handwritten: \(1\frac{1}{5}+1\frac{4}{5}+1\frac{4}{5}=4\frac{4}{5}\))
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5、 determine the x-intercepts and indicated property of the following r…
x-intercepts: \( -3 \) and \( 5 \); Narrower ### Question 6a
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3. draw a parabola with the following properties: range of y ≥ -3 x-int…
Because the equation is in the form \(y = ax^{2}+bx + c\) (\(a=-3.2 eq0\)), which is the standard form of a quadratic function, and the graph of a quadratic function is a parabol…
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use the following quote to answer the question.\the right to swing my f…
C) Individual rights have reasonable limits ### Second Question (Founding Fathers' Goals from Preamble)
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problem 3: find the slope of the graphed line slope: (6,7) (4,1)
3
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u.s. history use the political cartoon to answer #34-35 do not write on…
C. Monopolists and the Senate ### Question 34
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consider the system of inequalities and its graph. y ≤ -0.75x y ≤ 3x - …
4
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introduction to slope - item 32608 what is a simple way to tell that 1\…
The option: "The line slants downward, so the slope is negative" (the one with this text, likely the bottom - middle option based on layout).
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what is the slope of this graph? the slope of the graph is . question 3…
\(-1\)
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numerical response #2 the height of a golf ball, h(d), in metres, is mo…
\( 4.9 \) ### Numerical Response #3
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charles measures \\(\\frac{2}{3}\\) of a yard of string for a friendshi…
The multiplication equation is $\boldsymbol{\frac{2}{3} \times 6 = \frac{12}{3}}$ or $\boldsymbol{4}$. Charles needs $\boldsymbol{4}$ yards of string.
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7• f(x) = 2x³ - 32x
\( f(x)=2x(x - 4)(x + 4) \)
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8 - 1 - (42 - 2) ÷ 8
2
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who knew too much esterton n\ follows the protagonist, as they solve cr…
third - person omniscient
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problem 3 the graph shows the work done by a mechanics pneumatic car li…
The expression is \( 8\ln v-5\ln v \) and the simplified form is \( 3\ln v \).
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question 1-23 which of the following linear functions has the same slop…
The second table (x: -2, -1, 0, 1, 2; y: 11, 7, 3, -1, -5) and the equation \(-4x + y = 13\) has slope -4? Wait, no, second table slope is -4. Wait, first table slope 8, second ta…
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find the slope of the line that passes through (3, 2) and (5, 1). simpl…
$-\frac{1}{2}$
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question 2-8 solve the following equation for x 4x - 8y = 20
\(x = 5 + 2y\)
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what is the amplitude of the graph of $y = 3\\sin(2x - 1) + 4$?\ a. 2\ …
B. 3
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the graph of $y = \\cos x$ is transformed to the graph below. which sta…
C. The midline is \( y = 1.5 \)
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u5d1: rational exponents score: 11/28 answered: 14/28 question 3 evalua…
16
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write a polynomial function that imitates the end behavior of the graph…
\( \boldsymbol{f(x)= - 5x^5+6x^4 - 2} \) (the option with \( f(x)=-5x^5 + 6x^4-2 \))
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describe the transformation of f(x) to g(x) (image of f(x) = sin x and …
A. \( f(x) \) is shifted down 2 units to \( g(x) \)
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consider the system of equations below, and find values for m and b so …
D. \( m = 1, b = 2 \)
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find the slope of the line that passes through (4, 11) and (10, 6). sim…
$-\frac{5}{6}$
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approximate the integral with your calculator. round the answer to the …
\( 1.201 \)
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find the slope of the line that passes through (10, 3) and (1, 7). simp…
$-\frac{4}{9}$
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question 12 of 18 what is the equation of the sinusoid? image of a sinu…
A. \( y = \cos(2x) \) (assuming the option's correct form is this, based on period calculation)
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question 9 of 10 describe the transformation of $f(x) = \\sin x$ to $g(…
D. \( f(x) \) is shifted \( \frac{\pi}{3} \) units to the left.
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find the slope of the line that passes through (9, 3) and (5, 8). simpl…
$-\frac{5}{4}$
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the graph of $y = \\cos x$ is transformed to the graph below. which sta…
A. The phase shift is \(\frac{\pi}{2}\)
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expressions-polynomials-linear expression (1 point) evaluate the algebr…
\(\frac{28}{9}\)
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expressions-polynomials-linear expressions (1 point) simplify: $5(3x + …
\(10x + 29\)
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the graph of $y = \\cos x$ is transformed to the graph below. which sta…
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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find the slope of the line that passes through (2, 12) and (9, 8). simp…
$-\frac{4}{7}$
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find the slope of the line that passes through (8, 2) and (4, 3). simpl…
$-\frac{1}{4}$
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16. if $f(x) = x^2 - 3x - 2$, find $f(5)$.
\( 8 \)