微積分
極限、導數、最優化與函數性質。
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use the discriminant to determine the number of roots of $x^2 - 3 = (3x…
b) two
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select the correct answer from each drop - down menu. the graph represe…
For \( 0\leq x < 3 \): \( \boldsymbol{f(x)=x^{2}} \) For \( 3 < x\leq6 \): \( \boldsymbol{f(x)=-x + 10} \) For \( 6\leq x\leq10 \): \( \boldsymbol{f(x)=x - 2} \) (Note: The third …
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type the correct answer in each box. use numerals instead of words. if …
For \(-3\leq x < 0\): \(2x\) For \(\frac{1}{2}<x<\frac{3}{2}\): \(3\)
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final exam 100 points possible answered: 11/22 question 12 find the sum…
\(\frac{7n^2 - 23n}{2}\)
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write an equation in slope - intercept form of the line that passes thr…
\(y = - 2x\)
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which equation best matches the graph shown below? answer \\( y = -0.4x…
\(y = 0.4x^2+x - 2.6\) (the fourth option: \(y = 0.4x^2 + x - 2.6\))
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which graph represents the function $f(x) = -(x - 3)^2 + 1$? a) graph w…
The graph labeled b) (with vertex at (3,1))
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2) what is 6 × 3.94? show your work below using the box method.
\( 23.64 \)
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question 10 in which kind of transition do the picture and sound not ch…
D. Split edit ### Question 11
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which equation best matches the graph shown below? answer \\( y = 3(x +…
\( y = -3(x - 4)(x - 2) \) (the third option: \( y = -3(x - 4)(x - 2) \))
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question 13 (mandatory) (1 point) saved a rocket is launched into the s…
d) 164 m
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$\\sqrt3{1728} = \\square$
\(12\)
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drag the tiles to the correct boxes to complete the pairs. match the on…
- \( f^{-1}(x) = 5x \) → \( f(x) = \frac{x}{5} \) - \( f^{-1}(x) = \frac{x^3}{2} \) → \( f(x) = \sqrt[3]{2x} \) - \( f^{-1}(x) = x + 10 \) → \( f(x) = x - 10 \) - \( f^{-1}(x) = \…
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a quadratic function $f(x)$ is hidden from view. you must find all inte…
The interval where \(f(x)\) is increasing is \((-\infty,-1)\)
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select the correct answer from each drop - down menu. the degree of the…
The degree of the polynomial function represented by the graph is \( \boldsymbol{4} \) (or another even number like 6, but 4 is the smallest even with 3 turning points), and its l…
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the average revenue of a tv manufacturing unit is given by $r(x) = 75x^…
B. \( 75x^{3}-5x^{\frac{3}{2}} \)
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find g(x), where g(x) is the translation 5 units down of f(x) = |x|. wr…
\( |x| - 5 \)
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question 9 (mandatory) (1 point) saved use the quadratic formula to sol…
c) \(-0.81\) and \(1.64\)
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Question was provided via image upload.
a. The line \( y = 2 \) is a horizontal line. To graph it, draw a straight line parallel to the \( x \)-axis passing through \( y = 2 \). b. Two points on the line: \( (0, 2) \) a…
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$\\sqrt3{1000} = \\square$
10
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find the partial sum, $s_8$, for the geometric sequence with $a = 2, r …
\( 43690 \)
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question 7 (mandatory) (1 point) saved all of the following are ways to…
d) finding the discriminant ### Question 8
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problem 3.3 pick the correct equality that describes 2 as the 9th root …
B. \( 2 = \sqrt[9]{512} \)
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solve. -15.3 + 0.19
\(-15.11\)
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lets do some more problems with higher order roots problem 3.2 sqrt8{65…
B. 3
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solve. -2.5 + 1.9
-0.6
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lets do some more problems with higher order roots problem 3.1 (sqrt7{1…
\(2\)
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question 5 (mandatory) (1 point) saved determine the zeros for the func…
b) (4.78, 0) and (7.22, 0)
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solve. 95.3 - 49.89
\( 45.41 \)
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solve. 36.24 - 0.4
\(35.84\)
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find the domain and range of the function. use inequality notation. $y …
Domain: \( -\infty < x < \infty \) Range: \( y < -3 \)
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question 2 (mandatory) (1 point) saved if a quadratic function is expre…
a) The vertex is located at \((k, h)\)
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lets practice finding some 5th roots problem 2.2 $sqrt5{1024} = $ check…
\(4\)
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select the correct answer from the drop-down menu. consider the equatio…
The approximate solution of the system of equations \( y = |x - 1| \) and \( y = 3x + 2 \) is \((-0.25, 1.25)\) (or in the form of the ordered pair with \( x\approx - 0.25 \) and …
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the graph shows the elevation of a deep - sea diver in relation to minu…
-10 feet per minute
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divide: overline{4\big)1,280} r (square)
320 R 0
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). find the domain and range of the your answers look good! can you exp…
The domain of an exponential function \( f(x)=a^x\) (\(a > 0,a eq1\)) includes all real numbers because exponentiation with base \(a>0,a eq1\) is well - defined for any real - v…
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problem 1.1 \\sqrt4{16} = check explain
2
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$\\sqrt3{343} = \\square$
\( 7 \)
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order from least to greatest. 4.22 4.2 4.222 ? smallest number middle n…
Smallest number: 4.2, Middle number: 4.22, Largest number: 4.222
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the table below shows some points on the exponential function $f(x)$. f…
Domain: \(-\infty < x < \infty\) Range: \(0 < f(x) < \infty\)
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$\\sqrt3{125} = \\square$
\( 5 \)
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question 28 (mandatory) (1 point) a golf ball is chipped out of a sand …
b) 4.81 m
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$\\sqrt3{512} = \\square$
\( 8 \)
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the graph represents a system of linear equations. determine the number…
one solution
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question 27 (mandatory) (1 point) determine which coordinate is the ver…
c) (1, 7)
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$\\sqrt3{1331} = \\square$
\(11\)
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solve. 3.95 - (-2.1)
\(6.05\)
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write an equation in point - slope form for the line that satisfies the…
\(y + 3=\frac{4}{5}(x - 10)\)
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divide: \\longdiv{2995}{6} r \\square
The quotient is 499 and the remainder is 1, so the answer is \( 499 \) R \( 1 \)
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$\\sqrt{4.84} = \\square$
\(2.2\)
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solve. 9.55 + (-15.3)
\(-5.75\)
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divide: \begin{array}{r}\\ phantom{)}\\ 7{overline{smash{\big)},8,610 p…
1230 R 0
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√(25/196) =
$\frac{5}{14}$
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question find the value of f(-9). y = f(x) answer attempt 1 out of 2
-9
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question 23 (mandatory) (1 point) the cost of running a carwash is a fu…
c) 5 cars/h
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43. what is the value of the expression shown? 35 - (-110) ÷ 5 · 2 a. -…
C. 79
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goal you’re on the right track thinking about infinity! but the problem…
For domain inequality, use \( x \); for range inequality, use \( y \).
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student name date pd letters of correct graphs: letters of incorrect gr…
Correct Graphs: C (and maybe B? Wait, no, based on analysis, Graph C is correct. If we consider the "Letters of Correct Graphs" in the image has A and C, but our analysis shows Gr…
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find the approximate solution of this system of equations. y = x² + 5x …
B. \((-0.2, 2.1)\)
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question 21 (mandatory) (1 point) a disc is thrown into the air and fol…
b) 2.8 s
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add. write your answer as a mixed number in simplest form. $1 \\frac{4}…
\(8\frac{6}{7}\)
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graph the function f(x) = 3(2)^x by hand. then use a graphing calculato…
B (assuming graph B has a y - intercept of 3 and is an increasing exponential curve)
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final exam 100 points possible answered: 5/22 question 7 solve the foll…
\((-5,2)\cup(5,\infty)\)
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determine if the given graph is the graph of the function $y = -\frac{2…
1
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question 17 (mandatory) (1 point) determine the roots of $3.3x^2 + 1.9x…
b) -1.19 and 0.61
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wesley does this work to find the decimal equivalent of \\(\\frac{23}{9…
It is \(0.\overline{23}\). The decimal repeats when he divides into the same number twice. (The option with this text, assuming it's one of the radio - button options, e.g., if it…
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which graph represents the function $f(x) = -(x - 3)^2 + 1$? a) graph o…
b) The graph with vertex at (3,1) (the second graph, labeled b)
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the graph shows g(x), which is a transformation of f(x) = |x|. write th…
\( g(x) = \frac{3}{2}|x| \) (or in the form \( \frac{3}{2}|x - 0| + 0 \))
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the image contains several long division problems, including: \\(5 \\en…
- \( 3870\div5 = 774 \) - \( 755\div6 = 125\cdots\cdots5 \) - \( 3942\div3 = 1314 \) - \( 330\div9 = 36\cdots\cdots6 \) - \( 162\div7 = 23\cdots\cdots1 \)
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kayla knows that \\(\\frac{1}{16}\\) means “1 divided by 16.” she uses …
The digits in the boxes (from left to right, top to bottom for the quotient and then the other boxes): First box (tenths): 0 Second box (hundredths): 6 Third box (thousandths): 2 …
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the graph shows g(x), which is a transformation of f(x) = |x|. write th…
\(g(x)=|x - 1|\) (or \(g(x)=1|x - 1|+0\))
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using division to write fractions as decimals - item 52308 \\(\\frac{1}…
\(16\div15\) (the option with the calculation \(16\div15\))
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the graph shows g(x), which is a transformation of f(x) = |x|. write th…
\( g(x)=-|x|-7 \) (or in the form \( a|x - h|+k \), it is \( -|x - 0|+(-7) \))
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question 13 (mandatory) (1 point) a rocket is launched into the sky and…
d) 164 m
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find g(x), where g(x) is the translation 3 units right of f(x) = |x|. w…
\( \vert x - 3\vert \) (or in the required form \( 1\vert x - 3\vert + 0 \))
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evaluate 27 - 45. -72 72 -18 18
-18 (corresponding to the option: -18)
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question 7 (mandatory) (1 point) all of the following are ways to deter…
d) finding the discriminant
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find g(x), where g(x) is the reflection across the x-axis of f(x) = |x|…
\( -|x| \) (or in the form \( -1|x - 0|+0 \), but typically written as \( -|x| \))
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what fences (figuratively) are in his life?
(If referring to Troy in *Fences*): Racial discrimination limiting his career, strained family relationships (e.g., with his son), guilt from his past actions, and the gap between…
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select the correct answer. rewrite \\( \\frac{x^7 + 5x^5 - 9x + 1}{x^2 …
# Explanation: ## Step1: Perform Polynomial Long Division We divide the numerator \(x^7 + 5x^5 - 9x + 1\) by the denominator \(x^2 + 6\). First term: \(\frac{x^7}{x^2}=x^5\). Mult…
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simplify the expression completely. 2 (2.5 - |-6|) type the number in t…
-7
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use the graph to solve the system. $y = 3x + 5$ $y = -2x - 5$
The solution to the system \(\begin{cases}y = 3x+5\\y=-2x - 5\end{cases}\) is \(x=-2,y=-1\) or the ordered pair \((-2,-1)\)
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b. use the equation you found to complete the table. | texts | 25 | 50 …
\( y = 15x + 150 \) (where \( x \) is number of digital images, \( y \) is total cost in dollars) ### Problem 17b:
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what is not an idea of american democracy? compromise unlimited governm…
B. unlimited government
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\boxed{-4}\)
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subtract. 15 - 9 =
6
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using division to write fractions as decimals - item 52313 calculators …
s: - For \(\frac{1}{9}\): - Calculator display: \(0.11111\) - Is exact? No - For \(\frac{7}{8}\): - Calculator display: \(0.87500\) (or \(0.875\)) - Is exact? Yes - For \(\frac{9}…
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the graph shows g(x), which is a transformation of f(x) = |x|. write th…
\( g(x) = \frac{5}{2}|x - 0| + 0 \) or simplified \( g(x) = \frac{5}{2}|x| \)
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using division to write fractions as decimals - item 52313 calculators …
- For $\frac{1}{9}$: Calculator display is $0.11111$, Is this exact? No. - For $\frac{7}{9}$: Calculator display is $0.77777$, Is this exact? No. - For $\frac{1}{10}$: Calculator …
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use the graph to solve the system. y = -2x + 8 y = x - 2.5
The solution to the system is \( x = 3.5,y = 1 \) (or \( x=\frac{7}{2},y = 1 \))
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solve. $-5\\frac{3}{4} - 3\\frac{1}{2} = \\square$ $-2\\frac{1}{4}$ $-8…
To solve \(-5\frac{3}{4}-3\frac{1}{2}\), we first convert the mixed numbers to improper fractions. ### Step 1: Convert mixed numbers to improper fractions - For \(-5\frac{3}{4}\):…
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solve the system by graphing. y = 2x + 9 y = -x + 6 the solution is (\\…
\((-1, 7)\)
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what is the term for a government that exerts complete power over the p…
D. totalitarian government
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the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x) = |x| - 8 \) (or in the form \( 1|x - 0| - 8 \))
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answer attempt 1 out of 2 slope of the line: submit answer
\(-1\)
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trinity does this work to find the decimal equivalent of \\(\\frac{34}{…
It is \(0.\overline{34}\). The decimal repeats when she divides into the same number twice. (Assuming the option with this description is the correct one; since the options are pr…
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$\\frac{1}{20} = 0.05$. which calculation is not a way to find $\\frac{…
The calculation that is NOT a way to find $\frac{14}{20}$ is $0.5 + 0.05$ (the first option with the expression $0.5 + 0.05$).
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solve the system by graphing. y = x + 17 y = 4x + 2 the solution is (\\…
(5, 22)
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solve the system by graphing. y = 4x + 2 y = 2x + 3 the solution is (\\…
\((\frac{1}{2}, 4)\)