Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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question find ( f(-4) ). ( f(x) = 3x - ) (the rest of the function defi…
# Explanation: ## Step1: Identify the function formula The function is given as \( f(x) = 3x - \) (assuming there might be a typo, but from the context, likely \( f(x)=3x - c \), …
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find the slope of the line graphed below.
\(\frac{5}{6}\) Wait, no, wait, I think I made a mistake. Wait, let's check the graph again. The line passes through (2, 2) and (-4, -3). The rise is 2 - (-3) = 5, run is 2 - (-4)…
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graph the line. $y = -3x - 3$
The line \(y=-3x - 3\) is graphed by plotting the y - intercept \((0,-3)\) and using the slope \(-3\) to find another point (e.g., \((-1,0)\) or \((1,-6)\)) and then drawing a str…
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60) the graph of a line is shown on the coordinate grid. which equation…
\(y - 2=\frac{3}{5}(x - 12)\) (the third option)
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graph the line. y = -x + 4
The line \(y = -x+4\) is graphed by plotting the y - intercept \((0,4)\) and using the slope \(-1\) to find other points (e.g., \((1,3)\), \((-1,5)\)) and then drawing a straight …
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graph the line. y = 2x - 5
The line \( y = 2x - 5 \) is graphed by plotting the y - intercept \( (0,-5) \) and then using the slope \( 2 \) (rise 2, run 1) to find other points (e.g., \( (1,-3) \), \( (2,-1…
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question 21 2 pts what best describes the relationship between geograph…
A. The diverse geography of the colonies encouraged different economic pursuits.
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20) $g(x)=\frac{-x - 5}{3}$
The x - intercept is \( x = - 5 \) (point \( (-5,0) \)), the y - intercept is \( y=-\frac{5}{3} \) (point \( (0,-\frac{5}{3}) \)), and the function in slope - intercept form is \(…
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fill in the table using this function rule. $y = -3x + 5$ | $x$ | $y$ |…
When \( x = -2 \), \( y = 11 \); when \( x = -1 \), \( y = 8 \); when \( x = 0 \), \( y = 5 \); when \( x = 1 \), \( y = 2 \) So the completed table is: | \( x \) | \( y \) | | --…
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graph the line. $y = \\frac{4}{3}x$
The line $y=\frac{4}{3}x$ passes through the origin $(0,0)$ and $(3,4)$, extending infinitely in both positive and negative directions on the coordinate plane.
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graph the line. y = 3x
The line $y=3x$ is graphed by plotting the origin $(0,0)$ and the point $(2,6)$, then connecting them with a straight line that extends across the coordinate plane.
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15. $sin 45^{circ}$ = $cos 45^{circ}$ = $\tan 45^{circ}$ = 16. $sin 30^…
\(\sin45^{\circ}=\frac{\sqrt{2}}{2}\), \(\cos45^{\circ}=\frac{\sqrt{2}}{2}\), \(\tan45^{\circ}=1\) ### Question 16
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which equation best represents the relationship between x and y in the …
C. \( y = -\frac{3}{4}x + 4 \)
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6. x = y² and x = 3 - 2y²
The area between the curves is \(\boldsymbol{4}\).
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use the function $y = 5x + 15$ to find the value of $y$ when $x = -4$. …
\( -5 \)
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find (f∘g)(-3) and (g∘f)(-3). f(x) = -4x - 1; g(x) = x² - 4 (f∘g)(-3) =…
$(f\circ g)(-3) = -21$ $(g\circ f)(-3) = 117$
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mansa musa was best known for being _____. a. ruthless toward his enemi…
D. generous with his wealth (completando la opción, ya que el texto se interrumpe, pero es el contenido histórico correcto)
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let a be a real number such that the following product is also equal to…
\(a = 2\)
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what is an equation of the line that passes through the point (6, -2) a…
$y = \frac{1}{6}x - 3$ (or $x - 6y = 18$)
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is f even, odd, or neither? ○ even ● odd ○ neither explain your reasoni…
Is $f$ even, odd, or neither? odd Explain your reasoning. It is symmetric about the origin. Is $g$ even, odd, or neither? even Explain your reasoning. It is symmetric with respect…
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the product of 5.3 and 0.87. how many times smaller is this than the pr…
The product of 5.3 and 0.87 is 1000 times smaller than the product of 53 and 87.
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c. how many times smaller is 0.87 than 87?
100
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how did the missouri compromise attempt to ease tensions between the no…
by establishing that new slave states could only be formed south of a specified boundary
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what is an equation of the line that passes through the point (-4, -1) …
$y = -\frac{1}{2}x - 3$ (or $x + 2y = -6$)
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1. using whole numbers and decimal place shifts: a. find the product of…
4611
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find the formulas for the functions ( f + g ), ( f - g ), and ( fg ). g…
$f+g = x^2 + 6x - 10$ The domain of $f+g$ is $(-\infty, \infty)$ $f-g = x^2 - 6x + 10$ The domain of $f-g$ is $(-\infty, \infty)$ $fg = 6x^3 - 10x^2$ The domain of $fg$ is $(-\inf…
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draw a line representing the “rise” and a line representing the “run” o…
\(-\frac{1}{3}\)
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which is the rate of change for the interval between -6 and -3 on the x…
2
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13. - / 4 points evaluate f(-4), f(0), and f(3) for the piecewise defin…
$f(-4) = 11$ $f(0) = 0$ $f(3) = 3$ ### Graph Notes (for sketching): - For $x<0$: Plot the parabola $y=x^2-5$, with an open circle at $(0, -5)$ (since $x=0$ is not included in this…
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what is an equation of the line that passes through the point (-4,0) an…
$5x - 4y = -20$ (or $y = \frac{5}{4}x + 5$)
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algebra i part b: graph the solution set of the two - variable linear i…
1. Draw a solid line connecting the points $(20, 0)$ and $(0, \frac{50}{3}) \approx (0, 16.67)$ on the coordinate plane. 2. Shade the region above this solid line, limited to the …
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evaluate ( f(-4) ), ( f(0) ), and ( f(3) ) for the piecewise defined fu…
$f(-4) = 11$ $f(0) = 0$ $f(3) = 3$ Correct graph: The top (first) provided graph.
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find \\(\\frac{1}{2} + \\frac{3}{7}\\). first write the addition with a…
$\frac{1}{2} + \frac{3}{7} = \frac{7}{14} + \frac{6}{14} = \frac{13}{14}$
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first write the addition with a common denominator then add. \\(\\frac{…
$\frac{7}{14} + \frac{6}{14} = \frac{13}{14}$
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2. 7 / 9 points the graph of a function g is given. (a) state the value…
(a) $g(3)=2.5$ $g(1)=-1.5$ $g(4)=0$ $g(2)=1$ (b) $x=-4$
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evaluating a quadratic function using an equation\\find $f(-2)$ for the…
23
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problem 1. use descartes’ rule of signs to determine all possible cases…
Possible cases: - Positive real roots: 2, Negative real roots: 1, Imaginary roots: 0. - Positive real roots: 0, Negative real roots: 1, Imaginary roots: 2.
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the graph of a function g is given. (a) state the values of the followi…
(a) $g(3)=\frac{3}{2}$ $g(1)=-\frac{1}{2}$ $g(4)=0$ $g(2)=1$ (b) $-4$ (c) $[-4,4]$ Wait, no, wait the left curve: is $x=-4$ the only point with $g(x)=3$? Yes, because the left lin…
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2 al is using the standard multiplication algorithm, but he hasnt fille…
1. First problem gray boxes (top to bottom): 4, 8, 8 2. Second problem gray boxes (top to bottom): 1, 5, 0, 4 3. Third problem gray boxes (top to bottom): 2, 1, 2 Filled full prob…
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find the slope of the line passing through the points (2, 5) and (8, -4…
$-\frac{3}{2}$
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if $f(x) = 3x^2 - 9x - 20$, find the value of $f(5)$ using synthetic di…
10
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graph the line. y = -3x - 1
The line $y=-3x-1$ is graphed by plotting the y-intercept $(0, -1)$, using the slope to find a second point $(1, -4)$, and drawing a straight line through these points.
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what type of roots does the polynomial have? three imaginary; one real,…
Three real
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calculate. \\((8.237 \\times 10^5) + (5.8 \\times 10^4)\\) write your a…
$8.817 \times 10^5$
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consider the function $g(x)=|x + 4|+6$. complete the statements. the gr…
### Part 1: The graph of \( g(x) \) # Explanation: ## Step 1: Recall the parent function The parent function of an absolute - value function is \( f(x)=|x| \), which has a V - sha…
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which point of view does the narrator use in the passage? josé arcadio …
third person omniscient
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whats the real root? (associated with a function graph) the function ha…
The function has two irrational roots
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what are the roots of the polynomial? 0; 11, 0 and -11; -2, 10, and -10…
-3, 0, and 3
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lt#2 i can evaluate square roots and simplify radical expressions 3. \\…
3. $\frac{3-\sqrt{10}}{12}$ 4. $2\sqrt{3}$ 5. $7\sqrt{2}$
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the graphs of f and g are given in the figure. (a) state the values of …
(a) $f(0)=3$, $g(-2)=1$ (b) f(-1) (c) $x=-1, 2$ (d) $[-1, 2]$ (e) $x=3$
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graph the following function on the axes provided. $f(x) = \\begin{case…
The graph consists of a horizontal line \( y = -1 \) for \( x < -2 \) (open circle at \( (-2, -1) \)) and the line \( y = x - 3 \) for \( x \geq 2 \) (closed circle at \( (2, -1) …
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graph the line $y + 2 = \\frac{2}{3}(x + 3)$.
To graph the line \( y + 2=\frac{2}{3}(x + 3) \): 1. Plot the point \( (-3,-2) \) (from the point - slope form \( y - y_1=m(x - x_1) \) where \( x_1=-3,y_1 = - 2 \)). 2. Use the s…
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given ( p(x) = 2x^4 + x^3 - 3x^2 - x - 15 ). what is the value of ( p(2…
9
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ide by a fraction each equation true. 2 (\frac{4}{5} div \frac{1}{4} = …
Primer espacio: $1$, Segundo espacio: $\frac{16}{5}$
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all parts have been answered. the total profit (in dollars) from the sa…
(A) \( P'(200) = -150 \) (B) \( P'(350) = -330 \)
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6 ( 1\frac{1}{3} div \frac{3}{7} = \frac{square}{3} \times \frac{7}{squ…
Los números que completan los espacios son, en orden: $4$, $3$, $\frac{28}{9}$ La operación completa es: $1\frac{1}{3} \div \frac{3}{7} = \frac{4}{3} \times \frac{7}{3} = \frac{28…
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10 ( 3\frac{3}{5} div 1\frac{3}{square} = \frac{18}{square} \times \fra…
# Explicación: ## Paso1: Convertir divisor a fracción impropia Para que la división de fracciones mixtas se convierta en multiplicación por el recíproco, el divisor $1\frac{3}{\sq…
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8 ( 3\frac{1}{2} div \frac{square}{8} = \frac{7}{square} \times \frac{8…
Los números en los recuadros (de izquierda a derecha) son: 7, 2, $\frac{56}{14}$, 4
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topic: function tables - worksheet 3 1. rule ( a = b + 4 ) | input | ( …
| Input \( b \) | 15 | 17 | 19 | 18 | 16 | 14 | |---------------|----|----|----|----|----|----| | Output \( a \) | 19 | 21 | 23 | 22 | 20 | 18 | ### Problem 2: Rule \( g = 6 + q \)
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find the slope of a line perpendicular to the line whose equation is $9…
$\frac{2}{3}$
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9 ( 1\frac{2}{3} div 2\frac{1}{4} = \frac{square}{3} \times \frac{squar…
$\frac{5}{3} \times \frac{4}{9} = \frac{20}{27}$ (Es decir, los recuadros se completan con 5, 4, 20 y 27 respectivamente)
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sue cooks \\(\frac{4}{5}\\) of a 3 - cup box of rice. she wants to know…
$4 \times \frac{3}{5}$
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questions graph the following function on the axes provided. $f(x) = \\…
# Explanation: ## Step1: Analyze the piecewise function for \( x \leq - 4 \) The function is \( f(x)=-2 \) for \( x \leq - 4 \). This is a horizontal line. We can find a point on …
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\lamb to the slaughter\: which statement best explains how the storys t…
It reveals Mary's thoughts but hides Patrick's, creating mystery around his motives.
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in and out times 8 first in-out table: in | out | 8 3 | | 0 10 | | 72 s…
### First Table (Left) | In | Out | |----|-----| | 1 | 8 | | 3 | 24 | | 0 | 0 | | 10 | 80 | | 9 | 72 | ### Second Table (Middle) | In | Out | |----|-----| | 5 | 40 | | 8 | 64 | | …
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select the correct text in the passage. which two sets of lines in this…
In a full-hearted evensong / Of joy illimited; Had chosen thus to fling his soul / Upon the growing gloom.
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solve the following system of equations graphically on the set of axes …
The solution to the system is the point of intersection: $\boldsymbol{(-4, 4)}$ (To graph: Plot $(0,8)$ and $(-8,0)$ then draw a line through them for $y=x+8$; plot $(0,-4)$ and $…
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4) find the composition of the function. $f(x) = x^4$ and $g(x) = \\sqr…
$\boldsymbol{x^{\frac{1}{8}}}$ (matches the first option)
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what document, inspired by the american declaration of independence, ou…
The Declaration of the Rights of Man and the Citizen
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consider the following function. \\( g(x) = 4 - \\frac{1}{5}x \\) step …
Slope: $\boldsymbol{-\frac{1}{5}}$ y-intercept: $\boldsymbol{(0, 4)}$
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which of the following statements best explains the conditions that led…
A. The Committee of Public Safety had absolute power.
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Question was provided via image upload.
The top-left graph (the single U-shaped curve crossing the x-axis and extending upward/rightward) is a parabola.
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find the linear function with the following properties. f(0) = 5 slope …
$f(x) = -2x + 5$
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graph the following function. estimate the intervals on which the funct…
- The function \( f(x)=8x^2 \) is decreasing on the interval \( (-\infty,0) \) and increasing on the interval \( (0,\infty) \). - The function has a relative minimum of \( 0 \) at…
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20) \\sqrt3{-81x^4y^4}
$-3xy\sqrt[3]{3xy}$
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which explains how to find the quotient of the given division? write (-…
The correct explanation is: Write $-3\frac{1}{3}$ as $-\frac{10}{3}$. Then, rewrite $\frac{-3\frac{1}{3}}{\frac{4}{9}}$ as $-\frac{10}{3} \times \frac{9}{4}$. The quotient is $-1\…
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11) are the graphs inverses of each other? why or why not? a. no b. the…
e. Yes b. The graphs are exact reflections of each other across $y = x$.
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check the following addition. if the answer is incorrect, find the corr…
B. The answer 859 is incorrect because re - adding from bottom to top gives the correct answer 950
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check the following addition. if the answer is incorrect, find the corr…
B. The answer 778 is incorrect because re - adding from bottom to top gives the correct answer 866.
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check the following addition. if the answer is incorrect, find the corr…
B. The answer 778 is incorrect because re-adding from bottom to top gives the correct answer (correct answer is 866)
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determine whether the following addition is correct or incorrect. 1214 …
B. The addition is correct because adding the numbers on the left side of the equation results in 6696.
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find a formula for the inverse of the following function, if possible.\…
$F^{-1}(x)=(x+3)^5$
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1 what is the slope and y-intercept of the following line? y = 3x + 1 a…
Slope is $3$, $y$-intercept is $1$ ### Question 3: To write the equation of the graphed line, we first need to find two points on the line. From the graph (assuming the grid is wi…
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the graph of ( f(x)=sqrt{x} ) is shown on the grid. which statements ab…
The true statements (based on radical function transformations) are: 1. The graph of $g(x)$ is the graph of $f(x)$ reflected across the y-axis. 2. The graph of $g(x)$ is the graph…
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question 2 of 10 step 2 of 2 consider the following function on the giv…
$x\geq-3$
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week 4a - section 2 1 definition of the derivative: p (1 point) results…
$a=12$, $b=231$
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3) choose the correct equation or inequality by using the indicated poi…
$f(x) > (1 + x)^{\frac{1}{2}}$
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2) choose the correct equation or inequality by using the indicated poi…
$\boldsymbol{f(x)=1+\sqrt[3]{x}}$ (the fourth option)
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lets find \\(\\frac{2}{3} + \\frac{1}{4}\\). first write the addition w…
$\frac{2}{3} + \frac{1}{4} = \frac{8}{12} + \frac{3}{12} = \frac{11}{12}$
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1) choose the correct equation or inequality by using the indicated poi…
$\boldsymbol{f(x) = x^\frac{1}{2}}$
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question 10 of 10, step 2 of 2 consider the following relation. ( y = -…
Domain = $(-\infty, \infty)$ Range = $(-\infty, \infty)$
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c) $4\frac{1}{2} + \frac{1}{6}$
$4\frac{2}{3}$ or $\frac{14}{3}$
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algebra 2 quiz review name: 1 simplify the expression \\(\\sqrt6{q^{12}…
$q^3z$ ### Problem 2: Simplify $\boldsymbol{\sqrt[3]{250y^3z^4}}$
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write (0.overline{16}) as a fraction. a (\frac{1}{12}) b (\frac{1}{3}) …
C. $\frac{1}{6}$
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question 4 of 10, step 1 of 1 determine if the following function has a…
A has an inverse function
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which sign makes the statement true? $3.5 \\times 10^{-5}$ ? $5.3 \\tim…
<
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the graph of f(x) is shown. over which interval on the x - axis is ther…
# Explanation: ## Step1: Understand rate of change A negative rate of change means the function is decreasing (as \( x \) increases, \( f(x) \) decreases). For a parabola (quadrat…
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which of the following is the best approximation of the slope of the ta…
the slope of the secant line to the graph of f(x) at x=4.9 and x=5
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question 1 (1 point) which of the following is the best approximation o…
the average from t=5 to 5.1
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question 2 (1 point) what is the slope of the secant line of $f(x) = x^…
2