Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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160.8 ÷ 0.3 =
536
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etch the graph of the function by applying the leading coefficient test…
### Part (a) The Leading Coefficient Test depends on the degree (even or odd) and the leading coefficient (positive or negative) of the polynomial. For \( g(x) = x^4 - 16x^2 \), t…
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desperate times, limited measures, 1938–1941 11:40–21:06 despite a grow…
4. Jewish refugees faced strict national-origin immigration quotas, complex bureaucratic hurdles, widespread anti-Semitism/nativism, and economic-based resistance from Americans w…
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204 ÷ 0.6 =
340
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which factor best explains why the black death spread along mediterrane…
Sea routes enabled faster movement than land routes
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consider the following.\\( f(x) = x^3 - 2x^2 - 9x + 18 \\)\\( \\text{(a…
\( -3, 2, 3 \) ### Part (b)
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subtracting 4 - digit numbers, with regrouping grade 4 subtraction work…
\( 1701 \) ### Problem 2: \( 2369 - 1223 \)
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consider the following.\\( f(x) = 3x^4 - 12x^2 - 36 \\)\\( \\text{(a) f…
\( -\sqrt{6},\sqrt{6} \) ### Part (b) For a zero \( x = a \) of a polynomial \( f(x)=(x - a)^{n}g(x) \) where \( g(a) eq0 \), the multiplicity of \( a \) is \( n \). - For \( x=-…
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4) 25.2 ÷ 14 =
1.8
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given the piecewise function shown below, select all of $f(x)=\\begin{c…
A. $f(1) = 5$ B. $f(2) = 4$
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express in simplified form. \\sqrt3{135} \\sqrt3{135} = \\square \\cdot…
$\sqrt[3]{135} = 3 \cdot \sqrt[3]{5}$
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7. write a linear equation for each function. which function has the gr…
The linear equation for the table - based function is $y = 8x-4$, for the graph - based function is $y=x - 5$. The function represented by the table (with equation $y = 8x-4$) has…
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select the correct answer. a box of pencils costs $10. the total cost (…
A. all positive integers and zero
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what is the slope of this line? is the slope positive or negative? a) p…
Slope: $3$ Slope sign: a) positive
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what is the slope of this line? simplify your answer completely. slope …
$\text{Slope} = -\frac{4}{1}$ (or simplified to $-4$, matching the form: numerator 4, denominator 1)
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f(x) = \\log_{3}(x) + \\log_{3}(x) + \\log_{3}(9) + \\log_{3}(x - 4) - …
- Domain (interval notation): \( (4,\infty) \) - Domain (inequality notation): \( x > 4 \) - Range (interval notation): \( (-\infty,\infty) \)
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arrange the functions in ascending order, starting with the function th…
The functions in ascending order (from least to greatest eventual value) are: \( 5x \), \( 5x + 3 \), \( x^2 \), \( x^2 + 4 \), \( 7^x \), \( 8^x + 3 \)
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6) \\( \\int y^5 \\sqrt{y + 8} \\, dy \\)\ \\( u = y + 8 \\)\ \\( \\fra…
\( \frac{5(y + 8)^{\frac{11}{5}}}{11}-\frac{48(y + 8)^{\frac{6}{5}}}{5} + C \) (assuming the integral was \( \int y\sqrt{y + 8} dy \) with a typo, or correcting the expansion for …
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how to graph absolute value functions graphing absolute value functions…
0
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greatest integer function practice evaluate the following examples of t…
$\lfloor 3.4 floor = 3$ $\lfloor 0.8 floor = 0$ $\lfloor -1.7 floor = -2$ $\lfloor -3.5 floor = -4$
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graph each equation. 7. $y = 5x + 1$ 9. $y = 3x + 3$ (there are also so…
### For $y=5x+1$: Completed table: | Input $(x)$ | $5x+1$ | Output $(y)$ | |-------------|--------|--------------| | 0 | $5(0)+1$ | 1 | | 1 | $5(1)+1$ | 6 | | 2 | $5(2)+1$ | 11 | …
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evaluate exponents, pos/neg base this is the only question in this sect…
64
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graph this line using the slope and y-intercept: y = 3x + 3 click to se…
To graph \(y = 3x + 3\), plot the y - intercept \((0,3)\) and use the slope \(m = 3\) to find another point (e.g., \((1,6)\) or \((-1,0)\)) and draw a straight line through these …
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name hw3 12. $y = \\begin{cases} 2x, & \\text{if } x < -2 \\\\ 2, & \\t…
The graph consists of three parts: a line \( y = 2x \) (for \( x < -2 \)), a horizontal line \( y = 2 \) (for \( -2\leq x < 2 \)), and a line \( y=-2x \) (for \( x\geq2 \)). The k…
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find the slope of the line that passes through (30, 56) and (33, 8). si…
\( -16 \)
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determine whether the following graph represents a function. answer att…
The graph does not represent a function because at least one input is mapped to more than one output. For example, the input \( x=\boldsymbol{0} \) is mapped to (among others) the…
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determine whether the following graph represents a function. answer att…
The graph \(\boldsymbol{\text{does}}\) represent a function because every vertical line intersects the graph at most once (passes the vertical line test, meaning each \(x\) - valu…
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405.2 ÷ 0.8 =
506.5
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1.255 ÷ 5=
0.251
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determine the domain on which the following graph of $f(x)$ is positive.
The domain on which \(f(x)\) is positive is \(x\in(-\infty, 1)\cup(9,+\infty)\)
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determine the domain on which the following graph of $f(x)$ is negative.
The domain on which \(f(x)\) is negative is \(x < - 6\) or \(x>-2\) (in interval notation, \((-\infty,-6)\cup(-2,\infty)\))
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determine the domain on which the following graph of $f(x)$ is positive.
The domain where \( f(x) \) is positive is \( (-\infty, 0) \cup(5, \infty) \)? Wait, no, if the roots are at \( x = 0 \) and \( x = 5 \), but the y - intercept is 1. Wait, maybe t…
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65.32 + 2.3
67.62
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matching: please use your amendment sheet above to help you with the sc…
To solve the matching, we analyze each scenario with constitutional amendments: ### Q13: Scenario C: "US Senators are directly elected by the people/voters from each state" matche…
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the point (-12,16) lies on the terminal side of an angle θ. find the ex…
\(\sin\theta=\frac{4}{5}\) \(\cos\theta=-\frac{3}{5}\) \(\tan\theta=-\frac{4}{3}\) \(\csc\theta=\frac{5}{4}\) \(\sec\theta=-\frac{5}{3}\) \(\cot\theta=-\frac{3}{4}\)
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for the equation $y = x^3 + 1$, (a) create a table with ordered pairs t…
For \( x = -1 \), \( y = 0 \); For \( x = 0 \), \( y = 1 \); For \( x = 1 \), \( y = 2 \); For \( x = 2 \), \( y = 9 \). The completed table is: | x | y | |---|---| | -1 | 0 | | 0…
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for the following equation, (a) give a table with at least three ordere…
5
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consider the following.\\(f(x) = x^5 + x^3 - 42x\\)\\(\\text{(a) find a…
\(-\sqrt{6},0,\sqrt{6}\) (or approximately \(-2.45,0,2.45\))
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9. critique reasoning find the error in the work below. then show the c…
The error is in the multiplication of \(\frac{1}{12}\) and \(6\) (it was calculated as \(\frac{1}{72}\) instead of \(\frac{1}{2}\)). The correct calculation is \(\frac{8}{12}\time…
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type the correct answer in each box. use numerals instead of words. the…
The polynomial has 3 real zeros and 0 complex zeros.
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human resources support use the information below to answer the questio…
They choose staff members with relevant skills and experience for interviews.
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writing in slope-intercept form from graphs directions: look at each gr…
s for each graph (in order from top - left to bottom - right): 1. \(y = x\) 2. \(y=\frac{1}{6}x\) 3. \(y=-x\) 4. \(y = x\) 5. \(y=-x\) 6. \(y = x\) 7. \(y=-\frac{1}{6}x + 1\) 8. \…
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human resources support use the information below to answer the questio…
A. They identify required skills and evaluate candidates for open positions.
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use this graph of f to find the solution to f(x) = 6.
$8$
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consider the following.\\( f(x) = x^4 - x^3 - 12x^2 \\)\\( \\text{(a) f…
\( -3, 0, 4 \) ### Part (b) For the zero \( x = -3 \): - The factor is \( (x + 3) \), which has an exponent of 1 (odd multiplicity). For the zero \( x = 0 \): - The factor is \( x…
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use this graph of g to find g(-6).
$5$
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find the slope of the line that passes through the points (2, 4) and (6…
2 (the blue option with value 2)
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use this graph of f to find f(5).
$-\frac{21}{2}$ or $-10.5$
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10. tan x z 15 17 y 8 x 11. sin x z 35 y 37 12 x 12. sin a b 10 8 a 6 c
$\boldsymbol{\frac{15}{8}}$ ### Problem 11: $\boldsymbol{\sin X}$
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the english bill of rights, which influenced the declaration of indepen…
D. a representative government that served the people
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use the order of operations to evaluate this expression. enter the numb…
\(0\)
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use the order of operations to evaluate this expression. enter the numb…
2
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use the order of operations to evaluate this expression. enter the numb…
9
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use the order of operations to evaluate this expression. enter the numb…
\(17\)
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during andrew jacksons presidency, the democratic party supported polic…
C. granted states rights while limiting the federal government
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question 20 find all complex solutions (real and non - real). answer ex…
Real: $x = -3$ Non-real: $x = 2 \pm 3i$ --- ### Question 21
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5 arturos backpack weighs $6\\frac{3}{8}$ pounds. he removes a book tha…
\( 5\frac{7}{8} \) pounds
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3 multiple choice what is a style devoted to extraordinarily realistic …
C. super - realism ### Question 4
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2 what is $6\\frac{5}{6}-4\\frac{1}{3}$? show your work.
\(2\frac{1}{2}\)
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nc math 3 practice - key features of functions: end behavior name: sydn…
1. Positive or Negative? $\boldsymbol{\text{Positive}}$ Even or Odd? $\boldsymbol{\text{Even}}$ State the end behavior: $\boldsymbol{\text{As } x \to \infty, y \to \infty; \text{ …
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match each indefinite integral to its result, where ( c ) is a constant…
1. $\boldsymbol{\int 56\cos(8x - 5)dx}$ matches $\boldsymbol{7\sin(8x - 5) + C}$ 2. $\boldsymbol{\int -56\sin(7x - 5)dx}$ matches $\boldsymbol{8\cos(7x - 5) + C}$ 3. $\boldsymbol{…
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match each function to its antiderivative, where ( t > 3 ) and ( c ) is…
1. $H(t)=\ln(12t^2-12)+C$ matches $h(t)=\frac{2t}{t^2-1}$ 2. $H(t)=\ln(t^4-6t^2)+C$ matches $h(t)=\frac{4t^2-12}{t^3-6t}$ 3. $H(t)=\ln(4t^3-12t)+C$ matches $h(t)=\frac{3t^2-3}{t^3…
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7. which is the solution to the inequa\\(1.25x + 0.85 - 2.45x < 8.65\\)…
D. $\{x | x > -6.5\}$
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task 8 graph & label line a: \\( y = 2x + 6 \\) graph & label line b: r…
The equation of line B is \( y=-2x \)
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this is the graph of a function. choose the graph of its derivative fro…
The third graph (the one with the line having a negative slope passing through the origin - like point on the grid)
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which statement primarily appeals to logos, or reason, to support the p…
With income inequality at its highest point since the Great Depression, achieving the classic American Dream has become increasingly implausible for those with little means.
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8. bill is building boxes of different sizes. the supplies are limited.…
For Q8: $0$ ft $< h \leq 1.4$ ft For Q9: D. (The graph with closed dots at 10 and 15, shading between them)
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function h is graphed. find \\(\\int_{0}^{4} h(x) \\, dx\\). \\(\\int_{…
$9$
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find \\(\\int_{-4}^{-1} g(x) \\, dx\\). \\(\\int_{-4}^{-1} g(x) \\, dx …
$-9$
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b. the function, ( g(x) ), is graphed to the right. the function, ( g(x…
$3 \cdot 2^{x+6} + 3$ ---
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2. the functions $f(x)$ and $g(x)$ are shown on the graph to the right.…
$3$
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graph the absolute value function\\( h(x) = 3|x + 2| - 5 \\)\\( f(x) = …
$$ f(x) = \begin{cases} -3x-11, & x \leq -2 \\ 3x+1, & x > -2 \end{cases} $$ To graph the function: 1. Plot the vertex point $(-2, -5)$. 2. For $x\leq-2$, use the line $y=-3x-11$:…
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suppose a long term investment is modeled by the exponential function $…
B. the growth factor
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5. in which place is the first digit of the quotient? 3,589 ÷ 18
The first digit of the quotient is in the hundreds place.
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find the real solution(s) of the equation $x^{5} = -48$. round your ans…
$x \approx -2.17$
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this is the graph of a function. choose the graph of its derivative fro…
The graph of the derivative is the fourth one (the parabola - shaped graph opening downward with vertex at \( x = 0 \), \( y = 4 \) and x - intercepts at \( x=-2 \) and \( x = 2 \…
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find the real solution(s) of the equation ((x + 10)^5 = 70). round your…
$x \approx -7.70$
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place your first point there. think in terms of transformations of the …
The zeros of the function are at the values $x=-1$ and $x=3$ The x-intercept(s) are at the points $(-1, 0)$ and $(3, 0)$ The y-intercept is at the point $(0, 1)$
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sketch a graph of $f(x) = -0.5|x - 1| + 1$. before sketching the graph,…
1. Plot the vertex/maximum point at $(1, 1)$. 2. Plot the points $(0, 0.5)$, $(2, 0.5)$, $(-1, 0)$, $(3, 0)$. 3. Draw two straight lines: one connecting $(-1,0)$ to $(1,1)$ to $(3…
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2 6.5.4 practice 2 explain how you could find the difference of 1 and 0…
Rewrite 1 as 1.0000 to match the decimal places of 0.1978, align the decimal points, then subtract each digit from right to left, borrowing when necessary. The final difference is…
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b. 16 - 1.4
14.6
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for each subtraction problem, circle the a. 7.2 - 3.67
$3.53$
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question 3 estimate the instantaneous rate of change at ( x = 3 ) your …
\( 4 \)
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graph the following equation: y = -1 - 4x
The line passes through points $(-1, 3)$, $(0, -1)$, and $(1, -5)$, forming a downward-sloping straight line matching $y=-4x-1$.
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find the values for the given equation, y = x^3+3 find y when x = -2 -5…
-5 (the box next to -5 should be checked)
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find the values for the given equation, y = x^3+3 find y when x = 2 11 …
11 (the checkbox next to 11 should be selected)
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find the values for the given equation, y = x^3+3 find y when x = -1 2 …
The value of \( y \) when \( x = -1 \) is 2, so we should select the option with 2 (the first checkbox option: 2).
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graph the following equation: y = -2 - 2x
The line passes through points such as $(-1, 0)$ and $(0, -2)$, with a slope of $-2$, extending across the coordinate grid.
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graph the following equation: y = 4 - 4x
The line passes through points $(0, 4)$ and $(1, 0)$, extending across the coordinate grid as defined by $y = -4x + 4$.
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consider the following.\\( g(x) = 3x(x^2 - 4x - 2) \\)\\( \\text{(a) fi…
### Part (a) # Explanation: ## Step1: Set \( g(x) = 0 \) To find the real zeros of the polynomial function \( g(x)=3x(x^{2}-4x - 2) \), we set \( g(x) = 0 \). So we have the equat…
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consider the following.\\ $f(x) = 9 - x^2$\\ (a) find all real zeros of…
\( x=-3,3 \) ### Part (b)
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a) $8\\frac{3}{20} = 8\\frac{15}{100} = 8.15$ (with multiplication by 5…
b) $3\frac{24}{100}$, $3.24$ c) $24\frac{2}{1000}$, $24.002$ d) $9\frac{45}{100}$, $9\frac{9}{20}$ e) $25\frac{12}{1000}$, $25\frac{3}{250}$ f) $7\frac{64}{100}$, $7\frac{16}{25}$
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convert each decimal to a fraction. 0.9 = 0.40 = 0.38 = 0.84 =
$0.9 = \frac{9}{10}$ $0.40 = \frac{2}{5}$ $0.38 = \frac{19}{50}$ $0.84 = \frac{21}{25}$
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select the correct answer. what is the range of the function graphed ab…
$\boldsymbol{-\infty < y < \infty}$
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compute. $25.9 + (-4.3) = \\square$ $4.5 - 29.26 = \\square$
$21.6$ $-24.76$
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compute. $-3.53 + 46.78 = square$ $-72.6 + (-56.8) = square$
$43.25$ $-129.4$
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what is $sqrt3{0}$?
0
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compute. $-3.24 - 22.5 = square$ $23.5 + (-62.74) = square$
$-25.74$ $-39.24$
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16. what is the equation of the horizontal asymptote for following expo…
a) \( y = 6 \) ### Question 18 (Wait, the numbering: 16, 18? Wait, the second graph is 18? Wait, the user's image has 16, 18, 17? Wait, the second problem is labeled 18? Wait, the…
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the graph of function g is shown below. let $f(x) = \\int_{-3}^{x} g(t)…
$\frac{23}{2}$ or $11.5$