Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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graph this line using the slope and y-intercept: $y = -\frac{3}{4}x + 6…
To graph the line \(y =-\frac{3}{4}x + 6\): 1. Plot the y - intercept \((0,6)\) (since when \(x = 0\), \(y=6\)). 2. Use the slope \(m=-\frac{3}{4}\): from \((0,6)\), move down 3 u…
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which equation matches the graph? options: y= -3x - 5 y= 3x + 5 y= 3x +…
D. $y=3x - 5$
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1. examine this table. a. which of these items would be hard for you to…
a. Gasoline would be hard to ration. It limits daily mobility for work, errands, and emergencies, and the tiered allotment system can create inequity and frustration, as it direct…
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graph the parabola. $y = 2x^2$ plot five points on the parabola: the ve…
Plot the points: $(0,0)$, $(-1,2)$, $(-2,8)$, $(1,2)$, $(2,8)$, then draw a smooth parabola through them.
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determine the domain on which the following function is decreasing.
The function is decreasing on the interval $(4, 13)$ or $4 < x < 13$
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2. 40\\overline{)3000}
750
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question write the equation of the line in fully simplified slope - int…
\(y=-x + 6\)
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leveled practice in 6 and 7, find each product. 6. $42.3 \\times 1 = \\…
6. $42.3$, $423$, $4230$ 7. $0.86$, $8.6$, $86$
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from the graph of the function, state the domain, the range, and the in…
\([-2, 1]\)
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graph the following features: - y-intercept = -6 - slope = -1/2
The graph is a straight line with y - intercept at \((0, - 6)\) and slope \(-\frac{1}{2}\), passing through points like \((2,-7)\) and \((-2,-5)\) (or other points determined by t…
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9 multiple choice 1 point excludable goods... can be used by anyone can…
D. Can only be used by specific people
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at what value of x does the function given by $y = 3x^2 - 30x - 13$ tak…
\( 5 \)
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part 1 of 10 from the graph of the function, state the domain, the rang…
$(-\infty, \infty)$
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graph the following features: • y-intercept = -3 • slope = -2/5
The graph is a straight line passing through the point \((0, - 3)\) and other points such as \((5, - 5)\) (or \((-5, - 1)\)) with a slope of \(-\frac{2}{5}\). To visualize, plot \…
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use technology to find points and then graph the function $y = |x - 1| …
The five points to plot are $(-3,-1)$, $(-1,-3)$, $(1,-5)$, $(3,-3)$, $(5,-1)$. When connected, they form a V-shaped graph with vertex at $(1,-5)$.
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select all the solutions to the system of equations. (-4, 0) (-2, 8) (-…
\((-4, 0)\), \((0, 8)\)
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simplify. $2\\sqrt{3} \\cdot 3\\sqrt{15}$
\(18\sqrt{5}\)
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simplify $5sqrt3{81} + sqrt3{375}$.
\( 20\sqrt[3]{3} \)
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172.6 ÷ 39
$\approx 4.43$ (rounded to two decimal places) or $\frac{863}{195}$ (exact fraction)
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6. the flight path of a firework is modeled by the relation $h(t) = -5(…
The maximum height reached by the firework is \( 100 \) meters, and it is reached at \( t = 4 \) seconds. ### Part (b)
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2. which number is not a common denominator of the fractions being adde…
D. 24
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write the equation of this line in slope - intercept form.
$y=-7x+1$
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3.64)28.5376
\(7.84\)
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solve the following system of inequalities graphically on the set of ax…
A point in the solution set is $(0,0)$ (any point in the overlapping shaded region is valid).
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write the equation of the line in fully simplified slope-intercept form…
\(y = \frac{4}{3}x - 3\)
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trevor sketched two graphs. first, he graphed this equation: \\( y = 5^…
\(y = - 5^{x}\)
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evaluate the function for the given value. $f(x) = \\begin{cases} 5x - …
$-21$
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write an exponential function for the graph. write the function in the …
$y=4(2)^x$
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which statement explains a long - term impact of the silk road on globa…
B. It created the first global trade network
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which statement best describes the silk road at its beginning? a religi…
D. A network of overland trade routes
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the following piecewise function: $f(x) = \\begin{cases} 3x + 1, & x \\…
To graph the piecewise function: 1. For \( y = 3x + 1 \) (\( x \leq 0 \)): Plot points like (0,1), (-1,-2), etc., and draw a line with slope 3 through these points, including the …
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select the correct answer. what is the main difference between third - …
B. An outside narrator relays the inner thoughts of one character in third-person limited point of view but those of more than one character in third-person omniscient point of vi…
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linear relationships write rules for linear functions with graphs that …
s: - For part a: The equation is \(y=\frac{2}{3}x - 1\) - For part b: The equation is \(y=-2x + 3\) - For the equation \(y =-\frac{1}{2}x-5\), \(m =-\frac{1}{2}\) and \(b=-5\)
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what is the slope of this line? options: $\frac{3}{4}$, $\frac{4}{3}$, …
\(\frac{3}{4}\) (corresponding to the option \(\frac{3}{4}\))
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in the context of behavioral economics, which of the following best des…
The item has sentimental value because it belongs to them. ### Question 16 (Describing Endowment Effect)
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14.26 × 5 ———
71.3
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3.76 × 4 ———
15.04
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2. $g(x) = |x - 4| + 2$ 4. $g(x) = |x + 7| - 1$ 6. $g(x) = |x + 5| - 3$
1. For $g(x)=|x-4|+2$: - Plot vertex $(4,2)$, then points $(0,6)$, $(-4,10)$, $(8,6)$, $(6,4)$; connect to form a V-shape opening upward. 2. For $g(x)=|x+7|-1$: - Plot vertex $(-7…
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6. write an equation, in point - slope form, for the line that is perpe…
The equation of the line in point - slope form is \(y - 2=-2(x - 6)\)
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8\\frac{5}{6} + 2\\frac{2}{3}
$11\frac{1}{2}$ (or $\frac{23}{2}$)
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5\\frac{3}{4} - 2\\frac{1}{2}
$3\frac{1}{4}$ (or $\frac{13}{4}$)
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tony bought three books at a bookstore. here are their prices (in dolla…
The total amount Tony paid at the bookstore is $\$45.37$.
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graph each absolute value function. 1. $g(x) = |x + 1| + 1$ 3. $g(x) = …
1. For $g(x)=|x+1|+1$: - Vertex at $(-1, 1)$, additional points $(0, 2)$ and $(-2, 2)$; graph is a V-shape opening upward with these points. 3. For $g(x)=|x-3|-5$: - Vertex at $(3…
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which one doesn’t belong? which expression does not belong with the oth…
\( \frac{20}{8} \) does not belong with the other three because \( 2\frac{5}{8}=\frac{21}{8} \), \( \frac{8}{8}+\frac{8}{8}+\frac{5}{8}=\frac{21}{8} \), \( \frac{16}{8}+\frac{5}{8…
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2) on the set of axes below, graph $f(x) = |x - 3| + 2$. state the doma…
## Completed Table: | $x$ | $f(x)$ | |-----|--------| | 1 | 4 | | 2 | 3 | | 3 | 2 | | 4 | 3 | | 5 | 4 | ## Domain: All real numbers (or $(-\infty, \infty)$)
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question 4 (multiple choice worth 2 points) (05.02r mc) solve $e^{2x} =…
x = 1.956
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1) on the set of axes below, graph the function $y = |x + 1|$ state the…
| $x$ | $y$ | |-----|-----| | $-3$| $2$ | | $-2$| $1$ | | $-1$| $0$ | | $0$ | $1$ | | $1$ | $2$ | | $2$ | $3$ | *(Note: The provided range $y\geq0$ and increasing domain $x>-1$ ar…
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which input value produces the same output value for the two functions …
\( x = 3 \) (the option with text "x = 3")
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5.82 × 8 ------
$46.56$
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Question was provided via image upload.
2 2 3 6
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function table complete the function table. plot the points and graph t…
### 4) $f(x)=x+4$ | $x$ | -20 | -16 | -8 | 0 | 4 | |-----|-----|-----|----|---|---| | $f(x)$ | -16 | -12 | -4 | 4 | 8 | *(Plot points $(-20,-16), (-16,-12), (-8,-4), (0,4), (4,8)$…
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which of these statements is best supported by the following passage (p…
D. Christopher is impressed at the variety and quantity of food Tracy is consuming at the business lunch.
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select the correct answer. what feature of a confederal system did the …
C. a limited central government linking independent states
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select the correct answer. imagine that an exchange student from china …
C. A limited government protects individual freedoms.
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which set of transformations can be used to obtain the graph of $g(x) =…
B. a vertical stretch by a factor of 2, followed by a shift of 3 units left
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the table shows several points that lie along a line when plotted on a …
\(y = 3x+1\)
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29. how would the equation $f(x) = \\log(x - 2) + 8$ be shifted with re…
right 2 units and up 8 units
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26. identify the ( x- ) and ( y- ) intercepts of the graph of ( f(x) = …
x-intercept: $(9, 0)$; found by setting $f(x)=0$ and solving for $x$ (since the numerator must be 0 for the rational function to equal 0, while the denominator is non-zero at $x=9…
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what impact did the magna carta have on the english monarchy? ○ it did …
It limited it.
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look at the list: - representative government - limited powers of gover…
democratic countries.
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how did the magna carta create the foundations of democratic rule in en…
The Magna Carta laid foundational democratic principles for England and the US by enshrining the rule of law, limiting executive power, and establishing precedents for individual …
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y = 2√x - 5; what are the transformations for the graph of the parent f…
A. Vertical Stretch by a factor of 2; translated down 5 units
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f(x) = \\sqrt3{x - 4} + 1; describe the transformation; options: right …
A. Right 4 units, up 1 unit
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f(x) = -\\frac{1}{3}\\sqrt{x + 1} - 5 given the function, which of the …
reflection over the x - axis, vertical compression by 1/3, horizontal shift left 1 and vertical shift down 5 (the fourth option)
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what kind of function is represented by the graph? options: cubic funct…
C. Cube Root Function
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which is the graph of the square root parent function?
B
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y = -2 + \\sqrt3{x} identify the transformations. reflection and down 2…
C. Down 2 (assuming the third option is labeled as C, if the options are A:Reflection and down 2, B:Reflection and stretch by 2, C:Down 2, D:Up 2)
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f(x) = -√(x + 1) + 2 describe the transformation. options: right 1 unit…
B. Left 1 unit, Reflect over x - axis, Up 2 units
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y = -2√(x - 5) what are the transformations of this functions compared …
C. Reflected over the x - axis, vertical stretch 2, and translated right 5 (assuming the orange option is option C, if the options are labeled as A: Green, B: Purple, C: Orange, D…
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find the value of $f(-6)$. $y = f(x)$ answer attempt 2 out of 2 submit …
7
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y = 2\\sqrt3{x} - 4 identify the transformations. horizontal compressio…
B. Vertical stretch by 2 and down 4
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name the parent function. cubic cube root quadratic square root
D. square root
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y = -4 + 3\\sqrt3{x + 6} describe the transformations of the graph show…
B. Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.
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the function f is defined as shown. $f(x) = \\frac{1}{x - 3} - \\frac{5…
2
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f(x) = \\sqrt{x + 2} what are the transformations of this function comp…
Translated left 2 (the option in the orange box)
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f(x) = -√x describe the transformation. up 1 down 1 reflect over y-axis…
D. Reflect over x - axis
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what is the benefit of a business loaning money from the u.s. governmen…
Lower Interest Rates
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(05.01 lc) which point of view uses a narrator who is a character in th…
First person
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what is the value of $f^{-1}(-6)$ when $f(x) = \\frac{5}{2}x + 6$? ente…
\(-\frac{24}{5}\) (or -4.8)
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to the nearest hundredth, what is the largest positive value of x that …
\(1.86\)
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15. $y + 5 = \\frac{1}{4}(x - 2)$ 16. $y = -(x + 4)$ 17. $y + 1 = -\\fr…
### Problem 15: \( y + 5 = \frac{1}{4}(x - 2) \) # Explanation: ## Step 1: Identify the form The equation \( y + 5 = \frac{1}{4}(x - 2) \) is in point - slope form \( y - y_1=m(x …
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how do georgias transportation systems support they economy of the stat…
They work together to move goods and people through the state.
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what is the function rule for the linear function in this graph? slope–…
\( y=\frac{2}{3}x + 2 \) (The numerator of the slope is 2, the denominator is 3, and the y - intercept is 2)
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what is the function rule for the linear function in this graph? slope-…
\( y = 2x + 1 \) (where the coefficient of \( x \) is 2 and the constant term is 1)
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what is the function rule for the linear function in this graph? slope-…
\( y = 3x + 1 \)
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what is the function rule for the linear function in this graph? slope-…
\( y = 4x + 3 \)
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what is the function rule for the linear function in this graph? slope-…
$y = 5x+3$
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what was a significant feature of cities in southwest asia during the m…
D. They were centers of trade, culture, and learning
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what is the function rule for the linear function in this table? slope–…
\( y = 6x+4 \)
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what is the function rule for the linear function in this table? slope-…
The function rule is \( y=-x + 6 \)
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what is the function rule for the linear function in this table? slope-…
\( y = 5x + 2 \)
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what is the function rule for the linear function in this table? slope-…
\( y = 4x+1 \)
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example 3 finding displacement and total distance a particle moves in t…
The position vector of the particle is \(\mathbf{r}(t)=\langle 2t + 2, 4t + 1 angle\). At \(t = 2\), the position is \(\langle 6, 9 angle\) (if we consider the position at \(t = 2…
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the excerpt provides evidence of the : a. limited impact of new deal pr…
B. continued influence of New Deal programs in American life
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on considère lexpression e = 4x² - 9 - (x + 2)(2x - 3). 1) montrer que …
# Exercice 12 ## 1) Montrer que E est un polynôme de degré 2. # Explications étape par étape : ## Étape 1: Développer le produit $(x+2)(2x-3) = 2x^2 -3x +4x -6 = 2x^2 +x -6$ ## Ét…
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complete the steps to evaluate the following expression, given \\(\\log…
$-1.631$
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question 1-32 __________ are rules, limits, and guidelines that people …
C. Boundaries
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question 9 henrik and callie are both young adults employed at a local …
D. Callie will have the higher credit score. ### Question 10
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the graph of the parent function is shown. identify which function woul…
D. $y = \sqrt{x-5}-1$
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question 5 5 pts which category accounts for about 15% of the credit sc…
B. Length of Credit History ### Question 6