Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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using division to write fractions as decimals - item 52309 perry wants …
The next three digits in the decimal equivalent of $\frac{19}{3}$ (wait, actually it's $\frac{19}{3}$? Wait, the original fraction Perry is working on—wait, the division is 19 div…
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using a calculator, find the decimal equivalent for the fraction \\(\\f…
$0.\overline{468}$ (the option with the overline on 468)
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jacob knows that \\(\\frac{1}{20}\\) means “1 divided by 20.” he uses t…
The decimal equivalent of \(\frac{1}{20}\) is \(0.05\). So the first box after the decimal in the quotient is \(0\), the second is \(5\). In the subtraction step, we have \(100 - …
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solve the following system of inequalities graphically on the set of ax…
Point: \( (0, -2) \)
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graph the following features: - slope = -3 - y-intercept = -1
The line is graphed by first plotting the y - intercept at $(0, - 1)$ and then using the slope of - 3 (either moving down 3 and right 1 or up 3 and left 1 from the y - intercept) …
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arning goals from lesson 1.5 ✓ i can solve mathematic and scientific fo…
b. \( z=\frac{13}{8}c - 26 \)
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22) the function $d(t) = 300,000t$ represents the distance (in kilomete…
For part (a), light travels \( 4500000 \) kilometers in 15 seconds. ### Part (b)
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construct & justify create a polynomial function that meets all of the …
1. The polynomial function in standard form: \(f(x)=x^{3}-x^{2}-x + 5\) 2. Sketch description: The graph is a cubic curve. It crosses the y - axis at \((0,5)\). As \(x ightarrow-\…
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select the best description of the following exponential equation. $f(x…
Decaying by 17% with every unit of \( x \) (the option corresponding to this description, e.g., if the options are labeled as above, the correct one would be the option stating "D…
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the function $f(x)$ is graphed below. what is true about the graph on t…
It is negative and increasing
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to make 77 + 48 easier to solve, lou decides to first add on from 77 to…
125
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find the sum. 146 + 27 = ?
173
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lesson 3.3 checkpoint complete the previous problems, check your soluti…
- \( v(-2) = 11 \) - \( v(0) = 7 \) - \( v(5) = -3 \) ### Problem 22a: Distance light travels in 15 seconds
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which graph represents a function with an initial value of \\(\\frac{1}…
The graph on the Right (the third graph from the left, showing \( (0, 0.5) \))
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which graph represents a function with a growth factor of 5?
The Middle Graph (top - middle graph)
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find all zeros of the function $f(x) = 8x^3 - 6x^2 - 17x - 6$. enter th…
$-\frac{3}{4}, -\frac{1}{2}, 2$
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question given $g(x) = -5x + 2$, find $g(-4)$.
22
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graph the following function by moving the green and blue dots (if nece…
To graph \( y = 4x^3 - 4 \), move the green dot (inflection point) to \( (0, -4) \), the blue dot at \( x = 1 \) to \( (1, 0) \), the blue dot at \( x = -1 \) to \( (-1, -8) \), a…
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what is the slope of the line that passes through the points (-6, -6) a…
\( -\frac{1}{3} \)
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determine the amplitude, period, and phase shift of the function. then …
Amplitude: \( 3 \), Period: \( 2 \), Phase Shift: \( -2 \)
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plot all intercepts and asymptotes of the following rational function. …
- Vertical Asymptote: \( x = 6 \) - Horizontal Asymptote: \( y=-2 \) - x - intercept: \( x = 5 \) (point \( (5,0) \)) - y - intercept: \( y=-\frac{5}{3} \) (point \( (0,-\frac{5}{…
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on which interval does the function ( g(x) = 4x - 3x^2 ) have an averag…
\( x=-4 \) to \( x = 0 \)
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evaluate. \\(\frac{15!}{11!}\\) the solution is \\(square\\).
\( 32760 \)
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many elevators have a capacity of 4000 pounds. complete parts (a) throu…
The point \((25, 20)\) satisfies the inequality. The coordinates represent the fact that when 25 children and 20 adults are in the elevator, the elevator is overloaded. (Note: Oth…
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find the value of f(-3). y = f(x)
\(f(-3) = 0\) (assuming the graph intersects the x - axis at \(x=-3\), so the y - value at \(x=-3\) is 0)
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i^{23} = i^{20+3}\ = i^{20} \\times i^{3}\ = (i^{4})^{5} \\times i^{3}\…
\(i\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(2\).
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question the graph of $y = f(x)$ is graphed below. what is the end beha…
As \( x \to -\infty \), \( f(x) \to \infty \) and as \( x \to \infty \), \( f(x) \to -\infty \) (the option corresponding to this description)
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5 solve the exponential equation. $4^{4x} = 8$ a $\frac{8}{3}$ b $\frac…
D. \(\frac{3}{8}\)
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two solutions for all quadratic equations quick check solve the quadrat…
\(\frac{1}{10}\pm\frac{3\sqrt{11}}{10}i\) (The second option: \(\boldsymbol{\frac{1}{10}\pm\frac{3\sqrt{11}}{10}i}\))
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what is the output value of the given function when the input value is …
To find the output value (the value of \( y \)) of the function \( y = 7x - 10 \) when the input value (the value of \( x \)) is \( -3 \), we substitute \( x = -3 \) into the func…
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determine the vertical asymptote(s) of the following function. enter ea…
\(x = - 4\), \(x = 0\), \(x = 4\)
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how many x-intercepts appear on the graph of this polynomial function? …
3 x-intercepts
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question plot all intercepts and asymptotes of the following rational f…
- Vertical Asymptote: \(x = 1\) - Horizontal Asymptote: \(y=-5\) - x - intercept: \(x=\frac{6}{5}\) (or \(x = 1.2\)) - y - intercept: \(y=-6\) To plot: - Drag the "Vertical Asympt…
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use a calculator to estimate the value of the following. round to the n…
0.8836
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evaluate: 10 + 15 ÷ 5 + 3
\(16\)
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the function $f(x) = 6x^3 - 29x^2 - 6x + 5$ has at least one rational r…
The rational root found first is $5$, and all complex (including real) roots are $5$, $\frac{1}{3}$, and $-\frac{1}{2}$. (If only the first rational root is needed, the answer is …
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a patient is given a 50 mg dose of medicine. the medicines effectivenes…
The correct option is the fourth one: \( f(x) = 50(0.60)^x \); 18 mg (the bottom-left option, or the fourth option in the list, depending on the layout. Assuming the options are: …
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find g(x), where g(x) is the reflection across the y-axis of f(x) = |x|…
\(1\vert x - 0\vert+0\) (or simply \(\vert x\vert\) as \(1\vert x - 0\vert+0\) simplifies to \(\vert x\vert\))
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select the correct answer. the federalists and anti - federalists argue…
D. the range of power handed to the national government
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select the correct answer. which phrase best describes the form of gove…
D. a more powerful central government that abided by rules
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3. given the graph of $f(x)$ below, what is $int_{3}^{11} f(x) \\, dx$?…
### Question 3 # Explanation: ## Step1: Split the integral into parts The integral \(\int_{3}^{11} f(x) \, dx\) can be split into three parts: from \(x = 3\) to \(x = 4\), \(x = 4…
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given the graph of the function f below, determine all intervals on the…
\((-9, -3) \cup (4, 9)\) (Note: This is a guess based on typical graph analysis; the exact intervals depend on the graph's details,
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write an equation for a rational function with: vertical asymptotes at …
\( y=\frac{4(x + 6)(x - 1)}{(x + 4)(x - 2)} \) (or expanded form \( y=\frac{4x^2 + 20x - 24}{x^2 + 2x - 8} \))
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analyze the graph of the polynomial function shown above. which of the …
2. Approximately three turning points; both ends point down.
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select all that apply 1 relative maximum at the point (-1,2) 2 relative…
1. Relative maximum at the point \((-1, 2)\), 2. Relative minimum at the point \((1, -2)\), 7. Decreasing on the interval \((-1, 1)\), 8. Increasing on the intervals \((-\infty, -…
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3) architecture - why is the magna carta important?
The Magna Carta is important because it established the principle of the rule of law (limiting royal power), introduced due - process - like concepts, and laid foundational ground…
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select the correct answer. why did the founding fathers include the bil…
C. to protect the rights of individuals from the federal government
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select one ① both down ② both up ③ left down, right up ④ left up, right…
5. As x approaches positive infinity, y approaches positive infinity; as x approaches negative infinity, y approaches negative infinity.
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18. aubrey is examining the graph of a function, shown below; aubrey wr…
A. This function is continuous, D. This function has a local minimum, E. This function has an \(x\) - intercept at \((4,0)\)
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for the function shown in the graph, what is the end behavior? select o…
2. Both up
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what is the end behavior of the polynomial function shown in the graph?…
2. Left down, right up
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let me help clarify! to graph an exponential function, you need to find…
\( p(0) = 98 \), \( p(1) = 102.9 \)
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3. shawns golf club is $3\\frac{3}{4}$ feet tall. shawns hockey stick i…
$1\frac{7}{15}$ ### Part b
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solve the following system of inequalities graphically on the set of ax…
Point: \( (0, 8) \)
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question what is the slope of the line that passes through the points (…
# Explanation: To find the slope of the line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula: \(m=\frac{y_2 - y_1}{x_2 - x_1}\) ### Step 1: …
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let me help clarify! to graph an exponential function, you need to find…
The two values of \( t \) are \( t = 0 \) (to find the initial point \((0, p(0))=(0, 100)\)) and \( t = 10 \) (to find the point \((10, p(10))\) where \( p(10)\) is close to 0 fro…
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how do metaphors and extended metaphors differ? while a metaphor is lim…
A. While a metaphor is limited in length, an extended metaphor is developed over the course of a poem.
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lesson 3.3 checkpoint complete the previous problems, check your solut …
When \( x = -2 \), \( v(-2)=11 \); when \( x = 0 \), \( v(0)=7 \); when \( x = 5 \), \( v(5)=-3 \)
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find the missing number: if 5 × 6 = 30, then 5 × __ = 300.
60
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how many real and non - real solutions does the graphed equation have? …
three real and zero non - real (corresponding to the option "three real and zero non - real")
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how many real solutions correspond to x-intercepts based on the graph? …
2 (corresponding to the option with 2, e.g., if the options are like: 0, 2, 1, 3, the answer is the option with 2, say if the options are labeled as: 0, 2, 1, 3, then the answer i…
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remember*** f(-3) means -3 is your input and you plug it in for x f(x) …
\( 4 \)
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y = 2·4^x show your work here draw 14 12 10 8 6 4 2
To graph \( y = 2 \cdot 4^x \), follow these steps: 1. **Identify the function type**: Exponential growth (base \( 4 > 1 \), coefficient \( 2 > 0 \)). 2. **Find key points**: - At…
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complex numbers & higher order polynomials quick check djamila is looki…
\(\boldsymbol{\frac{5}{6}\pm\frac{\sqrt{47}}{6}i}\) (the third option)
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complex numbers & higher order polynomials quick check which answer sho…
\(\boldsymbol{\frac{3}{2}\pm\frac{\sqrt{31}}{2}i}\) (the third option, i.e., \(\frac{3}{2}\pm\frac{\sqrt{31}}{2}i\))
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complex numbers & higher order polynomials click for long desc image lo…
0 real solutions and 2 non - real solutions
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how many real solutions does the equation $y = -x^3 - x^2 + 5x + 2$ hav…
3
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find the equation of the exponential function. | x | f(x) | | --- | ---…
\( f(x) = 5 \cdot 3^x \)
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find the missing number: if 3 × 4 = 12, then 30 × __ = 120. options: 4,…
A. 4
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5. find the inverse of the relation for parts a - e. a. $f(x) = \\sqrt3…
s: a. \( \boldsymbol{f^{-1}(x)=(x - 6)^3} \) b. \( \boldsymbol{f^{-1}(x)=\pm\sqrt{\frac{x - 8}{5}}} \) c. \( \boldsymbol{f^{-1}(x)=\frac{3}{2}x-\frac{21}{2}} \) d. \( \boldsymbol{…
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two solutions for all quadratic equations quick check use the discrimin…
There will be two real solutions since the discriminant is positive.
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select the best description of the following exponential equation. $f(x…
Growing by 175% with every unit of \( x \) (the first option: "Growing by 175% with every unit of \( x \)")
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two solutions for all quadratic equations practice complete this assess…
\(-\frac{1}{2}\pm\frac{\sqrt{15}}{6}i\)
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algebra 2-17411200330a106 cumulative assessment 2 due dec 19 - 3:00 pm …
# Explanation: ## Step1: Analyze the polynomial function The function is \( f(x) = x^3 - 6x^2 + 3x + 10 \). To determine increasing/decreasing, we can use the derivative \( f'(x)=…
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14 what would adam smith say about this situation? the economy has take…
C. Smith would say to have no government interference.
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a pumpkin was tossed in the air. the height of the pumpkin in feet can …
B. 3.8633 seconds
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for a quadratic function, the solution is $x = \\frac{-8 \\pm \\sqrt{8^…
E. -4.812
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consider the graph of $f(x)$ below. the equation for $f(x)$ can be writ…
For \( a \): \( 4 \) For \( h \): \( -6 \) (Note: The initial wrong value for \( h \) in the image should be corrected to \(-6\) as the vertex is \((-6, -5)\).)
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6) fill in the table of values. $f(x) < \\sqrt3{(x - 1)}$ $x$ $f(x) = \…
For \( x = 0 \): g. - 1 For \( x = 1 \): f. 0 For \( x = 9 \): b. 2 For \( x = 2 \): c. 1 For \( x = -7 \): a. - 2
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rational exponent and radical forms consider the expression ( x^{3/2} )…
D. \(\sqrt{x^{3}}\)
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5) fill in the table of values. $f(x) \\geq x^{\\frac{1}{3}} - 1$ $x$ $…
- For \( x = 0 \) (e): h. -1 - For \( x = 1 \) (f): g. 0 - For \( x = 8 \): a. 1 - For \( x=-1 \): c. -2 - For \( x=-8 \): f. -3
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40 56 = 8 × 7 = (4 × 2) × 7 break apart one of the factors. = 4 × (2 × …
14
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9. the function f and its first and second derivatives are given: $f(x)…
s: (a) x - intercepts: \(\boldsymbol{(-1,0),(1,0)}\); y - intercept: \(\boldsymbol{(0,-1)}\) (b) Horizontal asymptote: \(\boldsymbol{y = 3}\) (c) Local maxima: \(\boldsymbol{\text…
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5 as a result of the changing nature of work during the time period fol…
### Part A (Problems): - Wages are too low to make a living - Working long hours causes exhaustion and accidents ### Part B (Solutions matched to Problems): - Problem: Wages are t…
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4) fill in the table of values. $f(x)=2+\\sqrt{x}$ $x$ $f(x)=2+\\sqrt{x…
- \( x = 0 \): e. 2 - \( x = 1 \): f. 3 - \( x = 4 \): a. 4 - \( x = 9 \): c. 5 ### Problem 5:
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3) choose the correct equation or inequality by using the indicated poi…
$f(x) > (1 + x)^{\frac{1}{3}}$ (the last option, assuming the options are ordered as given: the fourth option with $f(x) > (1 + x)^{\frac{1}{3}}$)
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lets collect ways to make 63! ways to make 63 9 × 7 3 × 21 which expres…
1 × 63
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which expression shows a product of 63? 9 × 7 8 × 7
\( 9\times7 \)
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2) choose the correct equation or inequality by using the indicated poi…
\( f(x) = 1 + \sqrt[3]{x} \) (the last option, e.g., if options are labeled as D: \( f(x) = 1 + \sqrt[3]{x} \), then D. \( f(x) = 1 + \sqrt[3]{x} \))
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find the slope of the line passing through the points (5, -2) and (9, -…
0
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40 lets collect different ways to make 40! 40 ways to make 40 8 × 5 4 ×…
\(2\times20\)
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lets collect different ways to make 40! ways to make 40 8 × 5 which exp…
A. 4×10
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which enlightenment philosopher is most closely associated with the ide…
D. John Locke ### Second Question (Short Answer)
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13. choose the correct graph of the rational inequality with the correc…
The top graph (the first one with the grid and dashed lines, including the vertical dashed line at \(x = 4\) and the dashed line \(y=x - 1\) with the region below shaded)
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9)sketch the graph of y = -3|x - 2| 10) which pair of linear equations …
B. \(x + 1=8\) or \(x + 1=-8\) ### Question 11
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civics s24 final exam 1.which of the following colony groups had rocky …
a. The Northern Colonies ### Question 2
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whose expression is equivalent to 52 + 48? both key idea is there more …
strategies (or methods, but "strategies" is more context - appropriate for math problem - solving)
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(8) 8. the radius of a circular oil spill is increasing at a rate of 3 …
The rate at which the area is increasing is \( 120\pi \) square feet per minute (or approximately \( 376.8 \) square feet per minute).
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the graph of $f(x) = 4x^3 - 13x^2 + 9x + 2$ is shown below. how many ro…
3