微积分
极限、导数、最优化与函数性质。
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9. russell is looking at two functions. the first function is represent…
\( g(x) \)
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part a: choose transformation $g(x) = f(x + 6)$ or $h(x) = f(x - 6)$. s…
Chose \( g(x)=f(x + 6) \). It is a horizontal shift (left shift) transformation. For the form \( y = f(x + k) \), here \( k = 6 \), so the graph of \( f(x) \) is shifted 6 units t…
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rate of change - slope quick check find the slope of the line. (1 point…
2
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rate of change - slope quick check find the rate of change. (1 point) -…
$-\frac{100}{3}$; The value drops $100 every 3 years.
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a pool must be drained to complete repairs at the end of summer. the vo…
The correct option is: \( 0\leq t\leq19 \), the pool will drain from hours 0 to 19 (the second option among the given options, assuming the options are presented as: 1. \( 0\leq t…
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determine the amplitude of the following graph.
2
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the table represents the linear function $f(x)$. | $x$ | $-3$ | $-2$ | …
Vertical stretch
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10b. (1 pt.) which of the is the correct graph of the given system? $y …
The correct graph is the top-left option (the graph with a small white triangular region bounded by two dashed lines, with shading outside this triangle in the upper and lower are…
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the image shows the graph of the parent function. which function from s…
$y=\sqrt{x-1}-3$ (the green option)
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4 a taxi company charges passengers $1.75 for a ride, no matter how lon…
\$2.83
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math 2 transformations, radicals, and rational functions as 1. which tr…
A. Shift left 2, then down 3 ### Question 2
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which type of function is shown in the image? cube root function square…
A. Cube root function
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question graph the equation shown below by transforming the graph of th…
To graph \( y = 2x^3 \): 1. Start with the parent function \( y=x^3 \), which has points \((-2,-8)\), \((-1,-1)\), \((0,0)\), \((1,1)\), \((2,8)\). 2. Apply a vertical stretch by …
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8. which transformation occurs in $f(x) = \\sqrt{x} + 3$? a. reflection…
c. Shift up 3 units ### Question 9
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question the graph of $y = \\sqrt{x}$ is the solid black graph below. w…
\( y=\sqrt{-x + 1} \) (assuming the bottom right option is \( y=\sqrt{-x + 1}\))
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which function is not increasing on the interval $(-2, \\infty)$? $f(x)…
$f(x) = -\sqrt{x+2} + 1$, $g(x) = -(x+2)^2 + 1$
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math 2: transformations, radicals, and rational functions assessment 1.…
a. $x = 12$
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which function is graphed on the right? ○ $y = 2^{x+3} - 2$ × $y = 2^{x…
\( y = 2^{x - 2}+3 \) (the third option: \( y = 2^{x - 2}+3 \))
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below is the graph of $y = b^x$. find $b$. $b = \\square$
\( \frac{1}{2} \)
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y = 4^{x - 5} + 3 the domain of this function is the range of this func…
- The domain of this function is all real numbers (or \( (-\infty, \infty) \) or \( \mathbb{R} \)). - The range of this function is \( (3, \infty) \).
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graph of t(x) = 5^x - 3. options: y=0, y=-3, y=-5
\( y = -3 \) (corresponding to the option: \( y=-3 \))
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identify the horizontal asymptote of each graph. graph of f(x) = 6^x wi…
A. \( y = 0 \)
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document analysis directions: analyze the following text and answer the…
1. Britain was interested in China for expanded trade access; they wanted goods like silk, and to sell their own products in China. 2. China limited trade to one port to simplify …
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an be evaluated one function at a t $h(x) = 3\\sqrt{x} - 7$ $k(x) = 5\\…
10
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read the excerpt. \europe has a set of primary interests which to us ha…
The United States should not become involved in European politics. ### Question about Hamilton's Financial Plan
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composite radical functions can $f(x) = 9\\sqrt{x + 6}$ $g(x) = \\sqrt3…
$2$
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15. solve the problem by typing the answer in the box. \\((3^3 + 4^3) \…
5
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k(x) = \\sqrt3{x + 1} + 5\ find k(-9).
3
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the graph of $y = \\sqrt3{x}$ is shown below. graph of $y = \\sqrt3{x}$…
C
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the graph of $y = 3^x$ is shown below. graph of $y = 3^x$ which of the …
C
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use the interactive graph below to sketch a graph of $y = 4\\log_{3}(-x…
The vertical asymptote is \( x=-3 \). Two points on the graph are \( (-4,0) \) and \( (-6,4) \) (or other valid points within the domain \( x < - 3 \) calculated using the functio…
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which feature of life in the early 19th century created a kind of fear …
B. the nation’s aggressive, often violent approach to expansion
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1. evaluate the following integral: \\int \\cos x \\ln(\\sin x) dx
\( \sin x \ln(\sin x) - \sin x + C \)
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does the given equation $y = \\frac{1}{2}(2)^x$ demonstrate exponential…
Growth
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practica mixta esta hoja de trabajo de práctica mixta incluye dos secci…
# Explicación: --- ### Pregunta 1 ## a) ## Paso 1: Identificar tipo de función Ambas gráficas son funciones cuadráticas (tienen forma de "U"), son funciones polinómicas de grado 2…
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10. the function $f(x) = \\frac{1}{2}x - 6$ was replaced with $f(x + k)…
1. For problem 10: $k=4$ 2. For problem 12: $x=\frac{1}{2}$ 3. For problem 14: $86.2$
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llevato al máx... o al mín programación lineal - escribir sistemas de d…
1. $f(-2)=2$ 2. $f(12)=-1$ 3. $f(1.5)=-4$ 4. $f(-8)=56$
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person | qualifications helena | helena is 34 and has a spotless drivin…
Highest Risk: Gerald 2. Conrad 3. Daisy Lowest Risk: Helena
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2. the amount of medicine in elizabeth’s blood is modeled by the functi…
A. 5 hours
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determine the slope for parts a, b, and c. part a: a linear relationshi…
Part A: $\frac{3}{5}$ Part B: $-6$ Part C: $-3$; the slope represents the rate the tank loses water, decreasing by 3 liters each hour.
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a linear relationship is given in the table. | x | -2 | -1 | 0 | 1 | 2 …
5
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which linear equation shows a proportional relationship? \\( y = -2x - …
$\boldsymbol{y = \frac{5}{6}x}$
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pair share questions: source 1: what was the purpose of the neutrality …
s (Key Points) - **Source 1**: Purpose = isolation; Prohibited = arms/loans; Helped by limiting ties; Multiple laws due to evolving war. - **Source 2**: Attitude = isolationist; I…
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9. you be the teacher your friend says $9\\div2.5$ is about 3. is your …
The friend's estimate is reasonable. When estimating \( 9\div2.5 \), we can round the divisor \( 2.5 \) to \( 3 \) (a whole number for simpler mental calculation). Then \( 9\div3 …
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make fruit punch for a party using the recipe below. fruit punch 1.25 l…
1. D 14.25 2. B $1\frac{3}{8}$
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what is an example of an effective rhetorical question in a presentatio…
C. What kind of world could we live in if finances didn't limit a student's options?
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lesson 3-6 multiplying decimals homework and practice find each product…
1. $0.36$ 2. $0.56$ 3. $0.72$ 4. $0.5$ 5. $0.243$ 6. $0.09$ 7. $0.369$ 8. $16.598$ 9. $4.205$ 10. $1.624$ 11. $4.55$ 12. $8.61$
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$\\int_{0}^{8} \\frac{dx}{\\sqrt{1 + x}}$
\( 4 \)
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sketch the graph of the quadratic function $f(x) = x^2 - 4x + 3$, label…
Vertex: \((2,-1)\); \(x\)-intercepts: \((1,0)\) and \((3,0)\); \(y\)-intercept: \((0,3)\); Axis of symmetry: \(x = 2\)
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3. $f(x) = x + 6$ 4. $g(x) = 3x$ 5. $h(x) = -2x + 9$ 6. $r(x) = -x - 7$…
Simplified functions: \( v(x)=7 - 2x \), \( u(x)=3 - x \)
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2. under the leadership of general _______________, france withdrew fro…
Charles de Gaulle ### Question 3
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2. french indochina was divided into what three countries? 3. north vie…
Vietnam, Cambodia, and Laos ### Question 3
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1) $y = \\sqrt{x - 2} + 5$ 2) $y = \\sqrt{x + 2} - 3$ 3) $y = \\sqrt3{x…
To sketch the graph of each function, we can use the transformation of the parent function \( y = \sqrt{x} \) or \( y = \sqrt[3]{x} \). Here, we'll focus on the square root functi…
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unit 4 lesson 3: homework point of intersection graph the equations. fi…
\((-1, -1)\) ### Problem 3:
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question 15 (1 point) what enabled the credit card industry to impose h…
a. Deregulation and limited oversight ### Question 16
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question 11 (1 point) why did disclosure requirements fail to inform co…
a. They used complex and opaque language ### Question 12
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24) $y = 2(x + 4)^2 + 2$
The vertex of the parabola \( y = 2(x + 4)^2 + 2 \) is \((-4, 2)\)
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23) $y = -(x + 1)^2 + 1$
Vertex: \((-1, 1)\), opens downward (or other relevant analysis based on the exact question; if the question was unspecified, this is a common analysis for this quadratic function…
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22) $y = -x^2 + 2x + 3$
To graph \( y=-x^{2}+2x + 3 \): - Vertex: \( (1,4) \) - Y - intercept: \( (0,3) \) - X - intercepts: \( (-1,0) \) and \( (3,0) \) - Additional point: \( (2,3) \) Plot these points…
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sketch the graph of each function. 21) $y = x^2 + 8x + 19$
The graph is an upward - opening parabola with vertex at \((-4, 3)\), y - intercept at \((0, 19)\) (and its symmetric point \((-8, 19)\)), and axis of symmetry \(x=-4\). To sketch…
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graph the second linear equation the equation $y = -x + 2$ has a y-inte…
The graph of \(y =-x + 2\) is a straight line passing through the points \((0,2)\) and \((1,1)\) (and other points found by continuing to use the slope) with a slope of \(-1\) and…
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line bn is represented by the equation $y = \\frac{3}{4}x + \\frac{7}{4…
| Slope of Line BN | Slope of Line HZ | Point - Slope Form of Line HZ | | ---- | ---- | ---- | | \( \frac{3}{4} \) | \( -\frac{4}{3} \) | \( y - 7 = -\frac{4}{3}(x + 6) \) | And t…
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line fn is represented by the equation $y = x + 19$. determine the equa…
\( y = x + 16 \)
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line pl is represented by the equation $y = 2x + 1$. determine the equa…
\( y = -\frac{1}{2}x - 7 \)
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some people say that uniforms limit students ability to express themsel…
C. It calmly suggests that clothing may not be the best form of self - expression.
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h(x) = \\begin{cases} 6, & -8 \\leq x < -4 \\\\ 3, & -4 \\leq x \\leq 5…
A
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$$g(x) = \\begin{cases} -3x - 8 &, -4 \\leq x \\leq 0 \\\\ -3x + 9 &, 0…
B
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f(x) = \\begin{cases} -\\dfrac{2}{3}x, & -5 \\leq x \\leq 2 \\\\ 1, & 2…
B. The graph with the first line from \( x = -5 \) (closed dot, \( y\approx3.33 \)) to \( x = 2 \) (closed dot, \( y\approx - 1.33 \)) and the second line as a horizontal line at …
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match each expression with its value. -3 -7 5 undefined $h(-1)$ $h(0.99…
- \( h(-1) \): \(-3\) - \( h(0.999) \): \(-7\) - \( h(1.0001) \): \(5\) - \( h(9) \): \(5\)
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evaluate step functions google classroom microsoft teams match each exp…
- \( f(-3.0001)=3\) - \( f(3.999)=7\) - \( f(4.0001)=-3\) - \( f(9)=\text{Undefined}\)
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h(x) = \\begin{cases} 2 - x &, -7 \\leq x \\leq 5 \\\\ 3x - 21 &, 5 < x…
A
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h(x) = \\begin{cases} -\\dfrac{1}{2}x + 2 &, -6 \\leq x < 4 \\\\ 2x - 8…
B
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f(x) = \\begin{cases} \\frac{1}{2}x + 6 &, -4 \\leq x < 0 \\\\ -5 &, 0 …
B
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h(x) = \\begin{cases} 2, & -3 \\leq x \\leq 1 \\\\ -1, & 1 < x \\leq 7 …
B
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find two functions defined implicitly by this equation.\\(x^2 + 3x + y^…
The coefficient of \( x^2 \) (green box) is \(-1\), the coefficient of \( x \) (gray box) is \(-3\), and the constant term (last gray box) is \( 2 \). So the filled form is \( y =…
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f(x) = \\begin{cases} \\frac{1}{2}x - 4, & -4 \\leq x \\leq 4 \\\\ 2x -…
A
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find two functions defined implicitly by this equation. $4x^2 + y^2 = 2…
The green box (the constant term) should be \( 25 \) and the gray box (the coefficient of \( x^2 \)) should be \( -4 \). So filling in the blanks, we have \( y = \pm\sqrt{25 + (-4…
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find two functions defined implicitly by this equation. $(x - 4)^2 + (y…
The values in the boxes are \(1\), \(4\), and \(-3\) respectively. So the equation is \(y=\pm\sqrt{\boldsymbol{1}}-(x - \boldsymbol{4})^2+\boldsymbol{(-3)}\) (or in the form given…
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mhf4u0 - rchauban given $f(x) = x$ and $g(x) = (x - 2)^2$ a) graph both…
The points of intersection are \( (1,1) \) and \( (4,4) \) ### Part (c) and (d) (Explanation of the region)
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write each fraction as a decimal. 1) \\(\frac{31}{100}\\) 2) \\(\frac{9…
$0.31$ ### 2) $\boldsymbol{\frac{9}{100}}$
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you might need: calculator $f(x) = \\begin{cases} -x - 4 &, \\ x < 3 \\…
\( 9 \)
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you might need: calculator \\(g(t) = \\begin{cases} -2t(t + 1) &, \\ t …
\( 10 \)
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you might need: calculator $g(x) = \\begin{cases} x^2 - 5 &, \\ x \\in …
\( 16 \)
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you might need calculator $f(t) = \\begin{cases} -\\dfrac{64}{t} &, \\ …
\( 0 \)
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graph $g(x) = -8|x| + 1$.
To graph \( g(x)=-8|x| + 1 \): 1. Plot the vertex at \((0,1)\). 2. For \( x\geq0 \), use the slope \( -8 \): from \((0,1)\), move 1 unit right and 8 units down to get \((1, - 7)\)…
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name:_________________________ test 3: unit 3 linear functions eq1: wha…
\(\frac{1}{3}\) ### Problem 1b: Find the slope of the line through (4, 3) and (-7, 3)
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the graph of $y = |x|$ is reflected across the $x$-axis and then scaled…
C. \( y = -\frac{1}{4}|x| \)
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order of operations to evaluate expressions, use the order of operation…
\( 29 \) ### Problem 2: \( 9 \times 3 + 3 \)
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2 darius says that \\(\frac{1}{4}\\) is a division expression and is no…
Badru es correcto. \(\frac{1}{4}\) es una expresión de división (equivalente a \(1 \div 4\)) y también el cociente (resultado) de \(1 \div 4\). Darius está equivocado al decir que…
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6) from chapter 3.2: what is the vertex of this quadratic function? typ…
\((-2, 4)\) ### Question 7
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given the function f(x) = -2x - 3, find f(2). f(2) = ?
\( -7 \)
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given the function f(x) = 2x + 10, find f(3). f(3) = ?
16
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in the function rule, $y = 2x + 3$, what is $y$ when $x = 4$? $y = ?$
11
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in the function rule, y = 5x - 1, what is y when x = 0? y = ?
-1
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classify this function. graph of a line linear non - linear
linear
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classify this function. graph of a piecewise linear function options: l…
non - linear
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3. an antique dresser was $115, but is on sale for 30% off. if there is…
The dresser will cost $88.55.
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write the equation that models the linear relationship. the equation \b…
\(y = \frac{1}{3}x + 3\)
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select the correct answer. what was hillary clintons health care propos…
D. to create a single - payer government system that provided every American with health insurance
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¿qué es 453 + 1,268? nanny 37 jennie 19 kiu 40 1,712 1,271 1,721 1,172
1,721 (correspondiente a la opción del botón con 1,721)