Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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write an equation for the function whose graph is shown to the right. t…
$y=(x-2)^2 + 1$
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determine the intervals where the function is increasing and decreasing…
Increasing intervals: $\emptyset$ Decreasing intervals: $(-\infty, \infty)$
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find the slope of the line that passes through (9, 10) and (6, 12). sim…
$-\frac{2}{3}$
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determine the intervals where the function is increasing and decreasing…
Increasing intervals: $\emptyset$ Decreasing intervals: $(-\infty, \infty)$
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divide fractions & mixed numbers - clue 1 crack the code by completing …
Completed fraction division results (with matching letters): 1. $\frac{7}{10} \div 1\frac{1}{6} = \boldsymbol{\frac{3}{5}}$ (S) 2. $\frac{5}{6} \div 1\frac{1}{2} = \boldsymbol{\fr…
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i want you to remember, rate of change is the same thing as slope of a …
$\boldsymbol{\frac{y_2-y_1}{x_2-x_1}}$ (the first option)
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answer as $x \\to \\infty, f(x) \\to -\\infty$ and as $x \\to -\\infty,…
as \(x \to \infty, f(x) \to \infty\) and as \(x \to -\infty, f(x) \to \infty\)
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describe the behavior of this graph shown.a. as the input increases, th…
B. As the input increases, the output decreases for all values of x.
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graph the given functions, f and g, in the same rectangular coordinate …
1. The graph of $g(x)$ is the graph of $f(x) = x^2$ shifted **2 units upward** (vertex moves from $(0,0)$ to $(0,2)$, and all corresponding points on $f(x)$ are moved up by 2 unit…
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evaluate the function at the given values of the independent variable a…
(a) $\frac{11}{4}$ (b) $\frac{11}{4}$ (c) $\frac{3x^2 - 1}{x^2}$
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use a graphing utility with the standard viewing window to graph the fu…
The left graph (the one symmetric across the origin, passing through (0,0), with a peak in the second quadrant and a trough in the fourth quadrant)
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which transformations to the graph of $j(x)$ would result in the graph …
horizontal compression by a factor of $\frac{1}{4}$ , and a translation 27 units down
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review the expressions for $j(x)$ and $j(-x)$ $j(x)=\\frac{220}{x^3}$ $…
j(x) is an odd function.
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question 9 the graph below is the function $f(x)$ determine which one o…
$\boldsymbol{f(a) \text{ is defined.}}$
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form: 9. $g(x) = 15x - 9$
The graph of $g(x)=15x-9$ is a straight line passing through $(0, -9)$ and $(1, 6)$, with a steep positive slope of 15.
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question 9 the graph below is the function $f(x)$ determine which one o…
$\boldsymbol{f(a) \text{ is defined.}}$
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11. higher order thinking without multiplying, decide which symbol belo…
$<$ --- ### For Question 12:
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review the graph of $f(x) = \\sqrt3{x}$ and the graph of the transforme…
- $-f(x + 4)$
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start start in 3-8, without multiplying, decide which symbol belongs in…
3. $>$ 4. $=$ 5. $<$ 6. $>$ 7. $<$ 8. $>$ 9. $\frac{5}{6} \times \frac{1}{4}, \frac{5}{6} \times \frac{6}{6}, \frac{5}{6} \times 1\frac{8}{9}, \frac{5}{6} \times 10\frac{1}{12}$ 1…
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writing equations in slope-intercept formexample 1write an equation of …
1. $y = \frac{1}{4}x + \frac{5}{4}$ 2. $y = \frac{1}{2}x - \frac{7}{2}$ 3. $y = -\frac{1}{3}x + 6$ 4. $y = -x + 3$ 5. $y = \frac{1}{7}x + \frac{17}{7}$ 6. $y = -\frac{3}{4}x - \fr…
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1. what are premium deposits in a variable annuitys subaccounts applied…
1. c. accumulation units 2. b. when the contract is the funding vehicle for a qualified plan 3. b. the insurer's general account
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complete the sentences about the functions $f(x) = 6x + 9$ and $g(x) = …
For small values of $x$, the function with greater values is $\boldsymbol{f(x) = 6x + 9}$. For instance, $\boldsymbol{f(0) = 9}$ whereas $\boldsymbol{g(0) = 3}$. As the value of $…
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graph the inverse of the provided graph on the accompanying set of axes…
Plot the points $(3, -10)$, $(2, -5)$, $(1, 0)$, $(0, 5)$, $(-1, 10)$ on the axes, then draw a straight line through them to get the inverse graph.
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complete the sentences about the functions $f(x) = 6x + 9$ and $g(x) = …
For small values of $x$, the function with greater values is $\boldsymbol{f(x) = 6x + 9}$. For instance, $\boldsymbol{f(0) = 9}$ whereas $\boldsymbol{g(0) = 3}$. As the value of $…
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find the inverse function in slope-intercept form ($mx+b$): $f(x) = x +…
$f^{-1}(x) = x - 9$
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divide. give the exact answer, written as a decimal. 75.14 ÷ 5 =
15.028
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multiple choice 8 points which graph description best matches: $f(x) = …
A vertical asymptote at $x = 0$ and an x-intercept at $x = 1$
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what is the domain of the following rational function? $f(x) = \\frac{2…
$\{x|x eq 1\}$
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given the rational function, $f(x) = \\frac{(x-2)(x+1)}{(x-2)}$, what i…
3
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what is the horizontal asymptote of the following rational function? $f…
$y=0$
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simplify the following rational function: $f(x) = \\frac{x+4}{x^2+4x}$ …
$f(x)=\frac{1}{x}$
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divide. give the exact answer, written as a decimal. $39.611 \\div 0.10…
380.875
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which graph description best matches:$f(x) = \\frac{x-1}{x^3}$○ a verti…
A. A vertical asymptote at $x = 0$ and an x-intercept at $x = 1$
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divide. give the exact answer, written as a decimal. $44.041 \\div 0.03…
1376.28125
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divide. give the exact answer, written as a decimal. $\\dfrac{51.15}{0.…
68.2
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determine the domain on which the following function is decreasing.
The function is decreasing on the interval $(5, 14)$ or $5 < x < 14$
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e 4 - (2 - 15)
17
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what is the domain of the graph? what is the range of the graph? true o…
1. Domain: $\boldsymbol{-5 \leq x < 3}$ 2. Range: $\boldsymbol{-7 \leq y \leq 0}$ 3. False 4. d) The graph was stretched by a factor of 5
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h (-4 + 9) · -3
-15
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(h) $(-4 + 9) - (-3)$
2
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22. using the graph below, write the equation of the line in slope-inte…
$y=4x+2$
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what is the inverse of $y = \\frac{x - 9}{5}$? use algebraic notation t…
1. Inverse function: $y = 5x + 9$ 2. Transform black $y=x^2$: shift left 4 units, then down 7 units to get $y=(x+4)^2-7$ 3. Local maximum: the top-left square (near the positive y…
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find $12.48 + (-10.636)$. write your answer as $12.48 + (-10.636) = \\s…
1.844
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a mound of sand at a rock-crushing plant is growing over time. the equa…
D. 14 hours
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values from the function $g(x)=2\\sqrt3{x+3}-1$ are shown in the table.…
$x=-3$
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the graph of $y = f(x)$ and $y = 4$ is shown. what is the value of $x$ …
$x=3$
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solve: $2\\sqrt3{3x - 1} - 6 = -2$ $x = \\square$
$x = 3$
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22. using the graph below, write the equation of the line in slope-inte…
$y=4x+2$
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what is a commodity? a. something that producers are unable to sell to …
D. Something of value that can be bought, sold, or traded.
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in capitalism, what does competition do for consumers? a. it limits the…
D. It keeps prices fair for consumers.
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e $(-8 cdot -3) - 5$
19
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test prep evaluate the expression. $13 - 2 \\times 5 + 7^2$ show hints …
52 (corresponding to the last option: 52)
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$40 - 4^{2} \\times 2 + 1 = \\square$ options: 7, 8, 9, 4, 5, 6
9
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evaluate the expression. enter the correct answer in the box. show hint…
277
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evaluate the expression. enter the correct answer in the box. show hint…
277
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evaluate the expression. enter the correct answer in the box. show hint…
18
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find the missing number to make the equation true. $7 + 8 + \\underline…
10
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13. graph: $y = -x$
A straight line passing through the origin $(0,0)$, $(2,-2)$, and $(-2,2)$, sloping downward from left to right across the coordinate grid.
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use the graph of the function f to decide whether each quantity exists.…
(a) $4$ (b) $6$ (c) $\text{DNE}$ (d) $4$
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consider the following function. $f(x)=\\frac{1}{x-8}$ determine whethe…
(a) $-\infty$ (b) $+\infty$ (or $\infty$)
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consider the following function. $f(x) = 6x - 9$ find the limit. $lim_{…
6
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find and write the missing number to make the equations true. 6. $4 + 8…
6. $7$ 7. $7$ 8. $3$ 9. $20$ 10. $16$
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a function $f$ is continuous on the closed interval $-2, 5$, differenti…
D. None of the above
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set f write the missing number to make equation true. $14 + 6 = \\_\\_\…
8
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title dear reader, where do you want to go in life? how do you plan to …
1. the lessons about resisting corrupting power from Frodo's journey in Middle-earth 2. *The Burden of Power: Lessons from Mordor* 3. share cautionary lessons about corrupting pow…
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understanding exponential decay functions which statements are true abo…
The function has a constant multiplicative rate of change The base must be less than 1 and greater than 0. The domain is all real numbers.
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graph this function. $y = 5(2)^x$ plot two points to graph the function.
Plot the points $(0, 5)$ and $(1, 10)$ on the coordinate grid, then draw a smooth exponential curve passing through these points (and extending upwards as $x$ increases, approachi…
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subtract. write your answer as a mixed number in simplest form $2\\frac…
$1\frac{1}{9}$
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find the missing number in the equation collects on sunday. $12 + 29 + …
1. Missing number for $12 + 29 + 37 + \_\_ = 90$: 12 2. Missing number for $18 - 10 = 9 - \_\_$: 1 3. Missing number for $35 + 30 = 45 + \_\_$: 20
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analyze the end behavior of the polynomial function. $f(x) = -x^3 + 8x^…
$\boldsymbol{x \to \infty,\ f(x) \to -\infty}$ $\boldsymbol{x \to -\infty,\ f(x) \to \infty}$
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a pizza box with a lid is made from a 19-inch-by-40-inch piece of cardb…
2.88
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analyze the graph and select all properties that apply to the polynomia…
Maximum: (-6.29,11.10) and (-1.98,30.01) Positive: (-7,-5) and (-4,-1)
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what is the next number in this sequence: 2, 6, 10, 14? select one: a. …
1. b. 18 2. d. 10
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write your answer as an integer or as a positive or negative mixed numb…
### First Section (Integer/Mixed Number): 1. $-18 \div -7 = 2\frac{4}{7}$ 2. $28 \div -4 = -7$ 3. $30 \div 9 = 3\frac{1}{3}$ 4. $-7 \div -6 = 1\frac{1}{6}$ 5. $-80 \div -10 = 8$ 6…
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2. calculate. (1) $\frac{1}{3}+\frac{1}{6}+\frac{1}{8}$ $=$ (2) $\frac{…
(1) $\frac{5}{8}$ (2) $\frac{3}{5}$ (3) $\frac{23}{42}$ (4) $\frac{13}{24}$ (5) $\frac{25}{48}$ (6) $\frac{1}{2}$
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the distance between $-1$ and $7$ on a number line equals $|-1 - 7|$ un…
D. 8 units
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federalists & anti-federalists name: who would say that? read each stat…
1. F 2. A 3. A 4. A 5. F 6. F 7. A 8. F 9. A 10. A 11. F 12. F 13. A 14. F For "Sound Off": One could disagree with Hamilton: The Constitution's creation by the people does not in…
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part 2 of 2 think about the process what should you do first to $y=\\fr…
A. Plot a point at the y-intercept. To graph the line fully: 1. The y-intercept is $b=-1$, so plot the point $(0, -1)$. 2. The slope $m=\frac{1}{5}$, meaning from the y-intercept,…
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use the functions to answer parts a and b.$f(x)=0.75x$$g(x)=0.09375x^{2…
### Part a: $h(6)=3.815$, $h(8)=5.960$, and $h(12)=14.552$ ### Part b: Function h exceeds both function f and function g when $x=13$ (the smallest integer value; for real numbers,…
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question 21 (1 point)amendment 21: repeals amendment _____.○17○18questi…
1. Question 21: 18 2. Question 22: number 3. Question 23: presidential
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use the functions to answer parts a and b.$f(x)=0.75x$$g(x)=0.09375x^{2…
### Part a: $h(6)=3.815$, $h(8)=5.960$, and $h(12)=14.552$ ### Part b: Function h exceeds both function f and function g when $x=13$ (the smallest integer value; for real numbers,…
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explain the difference between the establishment clause and the free ex…
### First Question Answer: - The Establishment Clause forbids government from establishing or endorsing a national religion and limits state-religion entanglement. - The Free Exer…
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nameperioddatetopic 06 – class 04 – exponential growth and decayself-as…
a. $y = 500000(1.15)^t$ b. About 1,156,530 members The function $y=ab^x$ represents exponential growth when $a>0$ and $b>1$.
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answer attempt 1 out of 5 the graph above is a . its domain can best be…
half-line (ray) real numbers addition or subtraction (a constant amount) a linear function with a negative slope
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question evaluate. express your answer in scientific notation. $2.7 \\t…
$6.97 \times 10^{-1}$
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**#5.) express in simplest radical form: $sqrt{8} \times sqrt{6}$ #6.) …
#5: $4\sqrt{3}$ #6: A) $\frac{4\sqrt{5}}{5}$ #7: b. $(0, 3)$ #8: $5\sqrt{30} - 1$
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graph this function. $y = 5(2)^x$ plot two points to graph the function.
Plot the points $(0, 5)$ and $(1, 10)$ on the coordinate grid, then draw a smooth exponential curve passing through these points (and extending upwards as $x$ increases, approachi…
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the function $f(x)$ is defined below. what is the end behavior of $f(x)…
as $x \to \infty, f(x) \to \infty$ and as $x \to -\infty, f(x) \to \infty$
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question find the equation of the exponential function represented by t…
$y = 4(3)^x$
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find the derivative of $f(x)=\\cot(2x^4 + 10x).$ $\\bigcirc$ $f(x)=-\\c…
$f'(x) = -(8x^3 + 10)\csc^2(2x^4 + 10x)$ (the fourth option)
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graph the given functions, f and g, in the same rectangular coordinate …
1. The graph of $g(x)$ is the graph of $f(x) = x^2$ shifted **2 units upward** (vertex moves from $(0,0)$ to $(0,2)$, and all corresponding points on $f(x)$ are moved up by 2 unit…
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evaluate the function at the given values of the independent variable a…
(a) $\frac{11}{4}$ (b) $\frac{11}{4}$ (c) $\frac{3x^2 - 1}{x^2}$
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find and write the missing numbers to make the equations true. 11. $13 …
11. 15 12. 3 13. 12 14. 40 15. 63; Number story: Lila has 28 stickers, and her friend gives her 35 more. How many stickers does Lila have in total? The matching equation is $28 + …
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which statement is true about the point (2,0)○ it is a relative minimum…
It is a relative minimum and an x-intercept.
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select the correct answer. what is the domain of the function shown on …
$(-\infty, \infty)$
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which pair(s) of expressions are equal in value? check all that apply.$…
$\boldsymbol{\lfloor 4.9 floor \text{ and } \lceil 3.1 ceil}$ $\boldsymbol{\lfloor -6 floor \text{ and } \lceil -6 ceil}$
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add: -3 + -3 = submit
$-6$
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add: 2 + -3 = □ submit
$-1$
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7. ¿por qué es importante que un objetivo esté \limitado en el tiempo\?…
7. A) Proporciona motivación al establecer una fecha límite. 8. Ninguna de las opciones presentadas es un objetivo INTELIGENTE, ya que son vagas y no cumplen con los criterios de …
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q3 - accelerated mathematics gr 8 | guided notes: identifying character…
1. degree 2. coefficients 3. roots (or zeros) 4. y-intercept 5. quadratic 6. leading coefficient 7. change 8. monomial