Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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question 3 of 10 the slope of the line below is -2. which of the follow…
A. \(y + 8=-2(x - 4)\)
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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rate of change = 7, 8) with a slope of zero: (hoy/vux) (3, 2) and has a…
Equation: $x = 6$; Slope: Undefined
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given the absolute function graphed below, find the following: a) domai…
a) Domain: \(\boldsymbol{[-5, 5]}\) b) Range: \(\boldsymbol{[-3, 5]}\) c) Increasing: \(\boldsymbol{[-4, 5]}\), Decreasing: \(\boldsymbol{[-5, - 4]}\)
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3. the graph shows the linear relationship between the maximum area in …
400 square feet per gallon ### Problem 5
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a lake near the arctic circle is covered by sheet of ice during the col…
4 meters
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consider the line 8x - 3y = -6. find the equation of the line that is p…
Equation of parallel line: \(y=\frac{8}{3}x + 20\) (or \(8x-3y=-60\)) Equation of perpendicular line: \(y=-\frac{3}{8}x+\frac{7}{4}\) (or \(3x + 8y = 14\))
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consider the line y=9x−3. find the equation of the line that is paralle…
Equation of parallel line: \( y = 9x + 51 \) Equation of perpendicular line: \( y=-\frac{1}{9}x-\frac{11}{3} \)
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the polynomial function f(x) is graphed below. fill in the form below r…
The degree of \( f(x) \) is \(\boldsymbol{4}\) (even) and the leading coefficient is \(\boldsymbol{\text{negative}}\). There are \(\boldsymbol{2}\) different real zeros and \(\bol…
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6. find y (a) y = \\sec x + \\frac{\\tan x}{x}
\(y'=\sec x\tan x+\frac{x\sec^{2}x - \tan x}{x^{2}}\)
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y = 11x x + y = 60 a group of related linear equations is called a syst…
B. (5, 55) (assuming the options are labeled, and (5,55) is the correct one from the given choices)
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19 iven the following graph of the quadratic function $f(x)=\frac{1}{3}…
The discriminant is negative.
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x: number of minutes y: height above ground find rumi and noams height …
Rumi: 20 feet, Noam: 26 feet
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elan needs to ensure that he can control the order of operations in his…
A. parentheses
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the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of \(f(x)\) is \(4\) (even) and the leading coefficient is \(\text{negative}\). There are \(2\) different real zeros and \(2\) relative minimums. So filling in the blan…
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the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of \( f(x) \) is even and the leading coefficient is positive. There are 4 different real zeros and 3 relative minimums.
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the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of \( f(x) \) is \(\text{odd}\) and the leading coefficient is \(\text{positive}\). There are \(\boldsymbol{4}\) different real zeros and \(\boldsymbol{3}\) rel minima.
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22. write an equation in slope-intercept form that represents the relat…
\(y=-24x + 110000\)
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transform the solid black function to match the dotted function. + ∨ f(…
The first box (inside the function) is \(0\), the second box (outside the function) is \(6\). So the transformation is \(+ \ f(+ \ x+0)+6\).
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1b. does the graph demonstrate a proportional relationship between x an…
The graph does not demonstrate a proportional relationship between \( x \) and \( y \). A proportional relationship \( y = kx \) has a graph that is a straight line passing throug…
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4. solve the system by graphing. $y = -x + 5$ $y = x^2 - 6x - 1$
The solutions of the system are \((-1,6)\) and \((6,-1)\)
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question 3 1 pts which transformations have been performed on the graph…
- compress the graph closer to the x - axis - translate the graph to the left - translate the graph up
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graph the following. 4. $y = -\frac{1}{2}x^2 - 4x - 9$ what is the y-in…
-9
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12. write an equation in slope-intercept form to represent the graph sh…
$y=\frac{20}{3}x$
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question 1 1 pts given the function $f(x) = -2\\sqrt{x + 4}$, identify …
When \( x = -4 \), \( y = 0 \); when \( x = 0 \), \( y = -4 \); when \( x = 5 \), \( y = -6 \)
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graph the following. 4. $y = -\frac{1}{2}x^2 - 4x - 9$ what is the y-in…
The y - intercept is \(-9\).
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solve for the x over the complex numbers. x² + 4x + 13 = 0 select both …
-2 + 3i, -2 - 3i
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question 6 of 10 what did the chinese exclusion act do in the united st…
B. Stopped Chinese immigration
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graph of h the figure shows the graph of a function h for 0 ≤ x ≤ 5. wh…
D. The rate of change of \( h \) is negative and decreasing.
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solve the system of equations. y = 8x + 15 y = x + 37 x = y =
\( x = \frac{22}{7} \), \( y = \frac{281}{7} \)
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timed problem score: 1/3 current time: 16.2 8 - 6 answer 3 2 1 4
B. 2 (assuming the second option is labeled with 2, if the options are labeled as A. 3, B. 2, C. 1, D. 4 then the answer is B. 2)
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2. if a = -3 + 5i, b = 4 - 2i, and c = 1 + 6i, where i is the imaginary…
\((-3 + 5i) - (4 - 2i)(1 + 6i) = -19 - 17i\) (or in the form with parentheses as \((-19) + (-17)i\) if needed, but the simplified form is \(-19 - 17i\))
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6. lola graphed the equation y = -2x + 5. could the graph below be corr…
The graph could not be correct. The equation \( y=-2x + 5 \) has a y - intercept of 5 (so it should cross the y - axis at \( (0,5) \)) and a slope of - 2 (a relatively steep negat…
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2. discrete or continuous? verbal description inequality notation set n…
### Problem 2: - Discrete or Continuous? : Continuous - Verbal Description (Domain): All real numbers between -5 and -1, inclusive. - Inequality Notation (Domain): $-5 \leq x \leq…
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1) find the first three partial sums of the series. 2 + 19 + 54 + 113 +…
\( S_1 = 2 \) \( S_2 = 21 \) \( S_3 = 75 \)
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the graph of $y = f(x)$ is shown below. find all values of $x$ for whic…
\((0, 5)\)
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determine the domain on which the following graph of f(x) is positive.
# Explanation: ## Step1: Identify x-intercepts The graph intersects the x - axis at \(x = 0\) (wait, no, looking at the graph, the roots are at \(x=0\)? Wait, no, the graph crosse…
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determine the domain on which the following function is increasing. ans…
The function is increasing on the interval \((-\infty, 1)\) (or \(x < 1\))
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2. $y = -2x^2 - 16x - 30$, for $y = -6$ $\\frac{-(-16)}{2(-2)} = \\frac…
Points: \((-6, -6)\) and \((-2, -6)\) \( x = -6 \) and \( x = -2 \)
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determine the domain on which the following function is decreasing. ans…
\([7,15]\)
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the movement of the progress bar may be uneven because questions can be…
The sentence "I was nervous as I went through inspections here." (the third option among the given sentences) is in the past tense.
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the movement of the progress bar may be uneven because questions can be…
With the rise of industrial robots, many unskilled laborers lost their jobs. (paragraph 7)
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the movement of the progress bar may be uneven because questions can be…
to rise above
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let $f(x) = \\frac{x + 1}{x + 4}$. the following is the graph of $f(x)$…
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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solve the inequality \\(dfrac{(x + 6)(x - 4)}{x - 7} \\geq 0\\). enter …
\([-6, 4] \cup (7, \infty)\)
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compare the functions ( f(x) = 50x^2 ) and ( g(x) = 3^x ) by completing…
(a) The table values are: - \( x=5 \): \( f(5)=1250 \), \( g(5)=243 \) - \( x=7 \): \( f(7)=2450 \), \( g(7)=2187 \) - \( x=8 \): \( f(8)=3200 \), \( g(8)=6561 \) - \( x=9 \): \( …
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compare the functions f(x)=2x³ and g(x)=2ˣ by completing parts (a) and …
# Explanation: ## Step1: Calculate \( f(6) \) and \( g(6) \) For \( f(x) = 2x^3 \), substitute \( x = 6 \): \( f(6)=2\times6^3 = 2\times216 = 432 \). For \( g(x) = 2^x \), substit…
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look at this graph: what is the equation of the line in point - slope f…
\(y - 10 = 5(x + 5)\) (or \(y=5(x + 7)\))
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now find: determine whether the function represents exponential growth …
The function \( f(x) = 4(0.5)^x \) represents exponential decay.
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question 5 of 19 (1 point) | question attempt: 5 of unlimited use the g…
\( (-6, -3) \), \( (1, \infty) \) (the corresponding checkboxes for these intervals should be selected)
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write \\(\\frac{6}{100}\\) as a decimal. a 0.006 b 0.06 c 0.6 d 6.0
B. 0.06
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homework.derivita.com let $f(x) = \\frac{x + 1}{x + 4}$. the following …
1
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the graph of the function $c(x) = \\frac{-3x^2 - 18x + 21}{x^2 + 8x + 7…
\(\lim_{x ightarrow - 7}c(x)=-4\)
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the image shows a mathematical expression, but due to rotation and clar…
The solutions for \( H \) are \( H = -1 \), \( H = 0 \), and \( H = 1 \)
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$f(x) = x^6 + x^3 + 4$ $f(x) = 3x^4 - 2x^2 + 1$ $f(x) = 2x^5 + x^4 - 3x…
If the task is to find even functions, the answers are \(f(x)=3x^4 - 2x^2 + 1\), \(f(x)=4x^4 - x^2 + 7\), \(f(x)=2x^8+x^4\) (depending on the actual question, since the original p…
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standard 18 homework score: 5/22 answered: 5/17 question 6 evaluate the…
DNE
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standard 18 homework score: 4/22 answered: 4/17 question 5 evaluate the…
$-0.2$
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f(x) = -x² + 7x 10. reinforce write the symbolic representation in fact…
To solve for the factored, standard, and vertex forms of the quadratic functions, we analyze each graph: ### **Left Graph (First Quadratic)** #### Step 1: Identify x - intercepts …
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c(x) = \\begin{cases} 100 & 0 < x \\leq 10 \\\\ 200 & 10 < x \\leq 20 \…
100
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determine the $x$-intercept(s) of the following function. enter your an…
\((-4,0)\)
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determine the y-intercept(s) of the following function. enter your answ…
\((0,\frac{3}{4})\)
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y = \\frac{1}{x - 4} + 3 identify the asymptotes. there is a vertical a…
D
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let $f(x) = \\frac{x + 6}{x^2 + 1}$. a) find the $y$-intercept(s) of $f…
\((0, 6)\) ### Part (b) - x-intercept
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e(t) = 9t + 3, what is e(2)? options: 12, 21, 18, 15
21
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how is the graph of y = csc(x − 6) transformed from its parent function…
B. It is the graph of \( y = \csc(x) \) shifted 6 units right.
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the graph represents the function f. which statements are true? ) = 0 w…
All of the above
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rocket launches from a platform that is 1 m high. it then hovers at the…
Domain: all real numbers 0–3 s, Range: all real numbers 0–8 m (the first option)
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section 4: evaluating & simplifying expressions (calculators not allowe…
\(\frac{31}{36}\) ### Question 25:
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do you know how? 4. what does the graph of the function at each interva…
- Interval (1): The graph represents the object (e.g., a projectile) **rising** (height increasing) over time. - Interval (2): The graph represents the object **falling** (height …
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almighty, having unlimited power or authority choose an answer 1 omnipo…
1. omnipotent
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$$(x)=\\begin{cases} 100 & 0 < x \\leq 10 \\\\ 200 & 10 < x \\leq 20 \\…
200
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the graph represents the function f. which statements are true? f(0) = …
B. \(f(30)=f(110)\) and \(f(t)=30\) when \(t = 20\)
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given functions f and g, find (a) (f ∘ g)(x) and its domain, and (b) (g…
\(x^{6}+7x^{3}-3\)
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use this graph of f to find f(3).
\( f(3)=7 \)
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determine each feature of the graph of the given function. $f(x) = \\fr…
- # of Horizontal Asymptotes: One, \( y = 0 \) (correct) - # of Holes: None (correct) - # of Vertical Asymptotes: One, \( x = 1 \) (corrected from \(x=-1\)) - # of x - intercepts:…
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this is the graph of w(t), solve w(t) = 10, no solution, t = 7 only, t …
\( t = 2 \) and \( t = 7 \)
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the total cost of a subscription is represented by the function t, m, m…
35
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1. the fuel level in a cars tank, f(t) , in liters, is modeled by a con…
D. The rate at which the fuel level is changing at \( t = 4 \) hours. ### Question 2
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function g x | g(x) -4 | 6 -3 | 12 -2 | 14 -1 | 12 0 | 6 the table give…
B. \( g \)
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14/100 which decimal below represents the fraction above? a 0.14 b 1.40…
A. 0.14
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quadratic relationships student activity sheet 1; overview page 1 of 1 …
### Question 1: Complete the table # Explanation: ## Step1: Recall perimeter formula for rectangle The perimeter \( P \) of a rectangle is given by \( P = 2(l + w) \). Given \( P …
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an amount of $49,000 is borrowed for 5 years at 4% interest, compounded…
$\$59616$
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question 3 of 25 the equation $y = \\begin{cases}25x & 0 \\leq x \\leq …
B. 38
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consider the following function. f(x) = (7)·2^{x - 3} enter the missing…
0.4375, 0.875, 1.75, 3.5, 7
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unemployment- hobos/riding the rails- 3. what was different about the p…
Hoover favored limited government intervention (voluntary business/loc al efforts, balanced budget), while Roosevelt implemented the New Deal with extensive federal intervention (…
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2.11 logarithmic functions ap precalculus 2.11 practice sketch a graph …
- Asymptote: \( x = - 3 \) - Domain: \( (-3, \infty) \) - Range: \( (-\infty, \infty) \) - End Behavior: As \( x ightarrow - 3^+ \), \( f(x) ightarrow\infty \); as \( x ightarrow\…
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determine each feature of the graph of the given function. f(x) = (-2x …
Horizontal Asymptote: \(y = 0\) Vertical Asymptote: \(x = 0\) x-Intercept: No x-intercept y-Intercept: No y-intercept Hole: \((2, -1)\)
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section 6.3: problem 10 (10 points) find the product. if it is not poss…
A. \(\begin{bmatrix}-1 & -8 & -4 \\ -6 & -6 & 2 \\ -8 & -6 & 7\end{bmatrix}\begin{bmatrix}-1 & -9 & -4 \\ 1 & 9 & 5 \\ 3 & -6 & -5\end{bmatrix} = \begin{bmatrix}-19 & -39 & -16 \\…
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find the product. if it is not possible to perform this operation, expl…
A. \(\begin{bmatrix}4&4&-9\\6&-4&-1\end{bmatrix}\begin{bmatrix}-2\\-4\\-3\end{bmatrix}=\begin{bmatrix}3\\7\end{bmatrix}\)
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12.) \\( f(x) = -3x^2 - 18x - 4 \\) (hint: convert to vertex form) vert…
- Vertex: \(\boldsymbol{(-3, 23)}\) - Axis of Symmetry: \(\boldsymbol{x = -3}\) - Domain: \(\boldsymbol{-\infty < x < \infty}\) (or \(\boldsymbol{x \in (-\infty, \infty)}\)) - Ran…
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results for this submission the answer is not correct. find the product…
D. The operation is not defined because the number of columns in the first matrix is not the same as the number of rows in the second matrix.
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solve the equation. 5 log x - log x⁴ = 1 select the correct choice belo…
A. \(x = 10\)
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f(x) = \\frac{(x - 2)(x + 1)}{x + 1} which statements describe the end …
As \( x ightarrow\infty,y ightarrow\infty \) (the option "As \( x ightarrow\infty,y ightarrow\infty \)") and As \( x ightarrow-\infty,y ightarrow-\infty \) (the option "As \( x ig…
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divide. 2 ÷ 0.01 = \\boxed{}
200
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divide, 8 ÷ 0.02 =
400
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11. choose a division strategy to solve 1,632 ÷ 32. (use only numbers a…
51
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use the aleks graphing calculator to find the vertex and x-intercept(s)…
vertex: \( (1.5, 1.25) \) x-intercept(s): None
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use the aleks graphing calculator to find the x-intercept(s) and vertex…
x-intercept(s): \( -1.65, 0.15 \) vertex: \( (-0.75, -3.25) \)
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solve the equation \\(\frac{ln(x + 7)}{ln(2x - 2)} = 1\\). if no soluti…
\(x = 9\)