Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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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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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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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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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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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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select the correct text in the passage. which set of lines in this exce…
I have passed with a nod of the head / Or polite meaningless words, / Or have lingered awhile and said / Polite meaningless words,
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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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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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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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simplify the following expressions
\(10\) (corresponding to the option \(= 10\))
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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
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consider the following functions. $f(x) = x^3 - 2$ and $g(x) = -2x$ ste…
$(f + g)(x) = x^3 - 2x - 2$ Domain = All real numbers (or $(-\infty, \infty)$)
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f(x) = \\frac{x^2 + 4x}{x^2 + x - 12} options: (-\\infty, -4) \\cup (3,…
$\{x|x eq 3, -4\}$
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find ((f circ g)(2)) for the following functions. (f(x) = x^3 + x^2) an…
0
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find ((f circ g)(4)) for the following functions. round your answer to …
2.31
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find $(f \\circ g)(1)$ for the following functions. $f(-4) = 6$ and $g(…
6
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15. deg: coeff: justify:
- deg: 4 (even, with 3 turning points, so \(n = 4\)) - coeff: negative (since end - behavior is \(y ightarrow-\infty\) as \(x ightarrow\pm\infty\) and degree is even) - justify: D…
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12. deg: coeff: justify: 15. deg: coeff: justify:
deg: 3 (odd, at least 3, cubic is likely) coeff: negative ### Problem 15 (Graph 2)
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determine whether each function has a maximum or a minimum value. then …
1. For $f(x)=x^2+2x-8$: It has a minimum value, and the minimum value is $-9$. 2. For $v(x)=-x^2+14x-57$: It has a maximum value, and the maximum value is $-8$.
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graph the line. y + 3 = \\frac{2}{3}(x + 1)
The line passes through points such as $(-1, -3)$, $(0, -\frac{7}{3})$, and $(2, -1)$, forming a straight line with a slope of $\frac{2}{3}$ and y-intercept at $-\frac{7}{3}$. Whe…
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explain to mya how you would use regrouping to subtract and find the di…
B. To find the difference by regrouping, borrow 1 thousand, regrouping 10 hundreds; borrow 1 hundred, regrouping 10 tens; and borrow 1 ten, regrouping 10 ones.
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what possible error did mya make when regrouping to add the expanded fo…
B. Mya regrouped 1 instead of 10 into the tens place and regrouped 10 instead of 100 into the hundreds place.
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consider the following function. q(x) = 3 - \\frac{3}{5}x step 1 of 2: …
Slope: $\boldsymbol{-\frac{3}{5}}$ y-intercept: $\boldsymbol{(0, 3)}$
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find a formula for the linear function depicted in the following graph.
$y=\frac{2}{5}x - 2$
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read the scholastic news debate about ai and watch the accompanying vid…
s: 1. B. Image generators like DALL - E 2. The debate (the "Debate" source) 3. A possible topic: The capabilities and limitations of AI (or other AI - related core topics like AI'…
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lesson 4: operations with radicals - (addition & subtraction) do now: w…
1. $-6$ 2. $8$ 3. $13\sqrt{2}$ 4. $4\sqrt{5}$ 5. $5\sqrt{3}$ 6. $2\sqrt{2}$ 7. $13\sqrt{2}$ 8. $-10\sqrt{2}$