微積分
極限、導関数、最適化、関数挙動。
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express the function graphed on the axes below as a piecewise function.
\( f(x) = \begin{cases} x + 5 & \text{if } x \leq -4 \\ -6 & \text{if } x > 0 \end{cases} \)
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what is the equation of this linear function? y = ?x +
$y = 4x + 2$
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what is the equation of this linear function? y = -\\frac{?}{\\square}x…
$y = -\frac{1}{2}x + 1$
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what is the slope of this line? simplify your answer completely. slope …
Slope $= -\frac{1}{1}$ (or simplified to $-1$, formatted as requested: $-\frac{1}{1}$)
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section 3.1 homework 13: section 3.1 score: 67.5/260 answered: 7/26 que…
\( f(-3)=-3 \)
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solve $f(x)=30$ for the function $f(x)=7x + 9$. then, find an expressio…
- \( x = 3 \) - \( f^{-1}(x) = \frac{x - 9}{7} \)
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solve $f(x) = 18$ for the function $f(x) = 5x - 7$. then, find an expre…
\( x = 5 \) \( f^{-1}(x) = \frac{x + 7}{5} \)
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the function $g(x)$ is graphed below. rewrite the points on the graph i…
## Table: | \( x \) | \( g(x) \) | |--------|-----------| | -4 | 3 | | -3 | 2 | | -1 | 0 | | 2 | -3 | | 4 | -5 | ## Function Notation: \( g(-4) = 3 \), \( g(-3) = 2 \), \( g(-1) =…
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20. in a restricted parking zone, vehicles can park for no more than 2 …
20. d. $t \leq 2$ 21. b. Variable term 22. b. $D = 50 - (0.20 \times 50)$
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9. which of the following rights may be limited in an authoritarian sys…
9. - Freedom of speech - The right to vote in free elections - The right to own property - Freedom of the press 10. Mexico is a democratic republic where citizens elect leaders, h…
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7. what has weakened democracy in nicaragua and el salvador? free and f…
7. Presidents restricting opposition and limiting press freedom 8. False
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if ( f(x) ) and ( g(x) ) are inverse functions of each other, which of …
The graph representing \( f(g(x)) \) is the one with the line \( y = x \) (slope 1, passing through the origin). Typically, this is a line with a 45° angle, passing through points…
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the function ( f(x) ) is shown. | ( x ) | ( -6 ) | ( -3 ) | ( 2 ) | ( 5…
2
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46 + 24 = 70 which expressions also have a value of 70? move each card …
## Value of 70: $46 + 4 + 20$, $46 + 4 + 10 + 10$ ## Not a Value of 70: $46 + 4 + 10$
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7. $y = 2cos(x) - 1$
If graphing, the graph is a cosine - shaped curve with amplitude 2, period \( 2\pi \), shifted down by 1 unit. Key points on \([-2\pi, 2\pi]\) are \((-2\pi, 1)\), \((-\frac{3\pi}{…
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sara played target 80. starting with 57, she made the equatic 57 + 3 + …
23
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problems 5 – 8, use transformations to graph eac 5. $y = 2sin x$
To graph \( y = 2\sin x \) using transformations: 1. Start with the parent function \( y=\sin x \) (key points: \( (0,0) \), \( (\frac{\pi}{2},1) \), \( (\pi,0) \), \( (\frac{3\pi…
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add. (\frac{3}{10} + \frac{3}{4}) write your answer as a fraction in si…
$\frac{21}{20}$
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1. $y = 5sin(pi x)$
- Amplitude: \( 5 \) - Period: \( 2 \)
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what is the slope of this line? simplify your answer and write it as a …
\(-\frac{5}{3}\)
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what is the slope of this line? simplify your answer and write it as a …
\( -\frac{5}{3} \)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{4}{3}\)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{2}\)
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what is the slope of this line? simplify your answer and write it as a …
\(-\frac{2}{5}\)
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use the graph to answer the question. the graph is a transformation of …
$\boldsymbol{f(x)=x^3}$
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use the graph to answer the question. which correctly describes the poi…
A. There is a jump discontinuity at $x = -3$.
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use the graph to answer the question. find the x- and y-intercepts of t…
x-intercept: (0,0) y-intercept: (0,0)
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use the graph to answer the question. find the asymptotes of the functi…
$x=0$, $y=0$
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which of the following function types exhibit the end behavior $f(x) \\…
power, $y=x^n$; $n$ is even and greater than zero absolute value, $y=|x|$
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use the graph to answer the question. which of the following functions …
reciprocal; $y=\frac{1}{x}$
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use successive approximations to estimate a solution of this equation: …
Completed table values: $0.5^{-1.15} \approx 2.2$, $2.5(-1.15)^2 -1 \approx 2.3$ Estimated solution: $x \approx -1.2$
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6. what is the value of the expression? $64.58 + 7.426 = __________$
$72.006$
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question 4 evaluate the integral below by using what we know about the …
$4$
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use your calculator to evaluate the integral below.\\(\\int_{2.4}^{9.3}…
$\int_{2.4}^{0.3} \frac{x+7}{x^3+8} dx = -0.927$ $\int_{5}^{6} \frac{10x-10}{x^2 - x - 6} dx = 1.609$
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question 2 if ( y(u) = int_{0}^{u^6} sqrt{11 + x^3} dx ) then ( y(u) = …
$6u^5\sqrt{11+u^{18}}$
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question 2 if $p(v) = \\int_{0}^{v^6} \\sqrt{5 + x^7} dx$ then $p(v) = …
$6v^5\sqrt{5+v^{42}}$ ---
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if $f(x)=\\int_{x}^{x^{4}} t^{2}dt$ then $f(x)=$
$4x^{11}-x^2$
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question 4 if $f(x)=\\int_{x}^{x^3} t^2 dt$ then $f(x) = $ question hel…
$3x^8 - x^2$
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19 if $f(x) = \\int_{x}^{x^4} t^3 dt$ then $f(x) = $ question help: mes…
For Question 1: $3x^{11}-x^3$ For Question 2: $\frac{343v^2}{49v^2+16}-\frac{4v^2}{v^2+1}$
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current skill \\$\ multiply:\ $2 \\times \\frac{4}{9}$\ provide an answ…
\( \frac{8}{9} \)
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if $f(x) = \\int_{3}^{x^2} t^4 dt$ then $f(x) = $ question help: video …
1. $f'(x)=2x^9$ 2. $f'(u)=3u^2\sqrt{8+u^{15}}$ 3. $y'(x)=\frac{\cos e^{9x}}{e^x}$
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¿cuál es la verdadera solución a la ecuación? \\ln e^{\\ln x} + \\ln e^…
$x = 4$
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current skill multiply: $7 \\times \\frac{3}{5}$ provide an answer as a…
\(4\frac{1}{5}\) (or \(\frac{21}{5}\) if proper fraction is preferred, but since 21/5 is an improper fraction and the problem allows mixed number, \(4\frac{1}{5}\) is a simplified…
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el rango de qué función es $(2, \\infty)$? $y = 5^x + 2$ $y = 2^x$ $y =…
$y = 5^x + 2$
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¿cuál es el dominio de? $y = \\log_{4}\\left(x + 3\ ight)$? todos los n…
todos los números reales mayores que $-3$
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complete the ordered pairs so that each is a solution to the equation. …
The completed table is: | $x$ | $y$ | |-----|-----| | -2 | 12 | | 0 | 2 | | 2 | -8 | The ordered pairs are $(-2, 12)$, $(0, 2)$, $(2, -8)$. To graph, plot these points and draw a …
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vamos a la escuela unlimited attempts left late due january 22nd 11:59 …
To solve this, we need to conjugate the verb "ir" (to go) in the present tense for different subjects. The present tense conjugations of "ir" are: yo - voy, tú - vas, él/ella/uste…
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¿cuál es el rango de la función? $y = e^{4x}$? $y > 0$ $y < 4$ $y < 0$ …
$y > 0$
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calculating differences of complex numbers in po consider the numbers $…
For the first blank (in \( z - w = 1-\square i \)): \( 1 \) For the second and third blanks (in \( z - w=\sqrt{2}(\cos\square^{\circ}+i\sin\square^{\circ}) \)): \( 315 \), \( 315 …
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¿cuál es el rango de la función? $y = 2e^x - 1$? todos los números real…
todos los números reales mayores que $-1$
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(b) the graph of $y = x^2$ is shown. translate it to get the graph of $…
Translate the graph of $y=x^2$ 2 units to the right. The vertex of the new graph $y=(x-2)^2$ will be at $(2,0)$, and the parabola maintains the same shape as the original.
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find the domain of the function.\\( f(x) = \\frac{x}{x - 5} \\)\ select…
D. \( (-\infty, 5) \cup (5, \infty) \)
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find the domain of the function.\\(f(x) = 5x^2 + 3x - 1\\)\ select one:…
B. \((-\infty, \infty)\)
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evaluate as requested. find f(3) for f(x) = x² - 4x - 7 select one: a. …
B. \( f(3)=-10 \)
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a graph of a function f is shown below. find f(-0.9). select one: a. -1…
B. 2.641
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ted to reproduce for classroom use. complete the function table. then g…
The completed function table (correcting the errors in the original table) is: | \( x \) | \( -2 \) | \( 0 \) | \( 1 \) | \( 2 \) | | --- | --- | --- | --- | --- | | \( x + 3 \) |…
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plotting the difference of two complex numbers the complex numbers ( z_…
A
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which of the following graphs represent functions? select all that appl…
Figure A, Figure B, Figure D
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problem 8: $f(x) = sqrt3{x}$ explanation: step 1: find $f(-x)$ substitu…
Odd
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olving equations containing natural logarithms solve: $2\\ln 3 = \\ln(x…
\( x = 13 \) (i.e., the option with \( x = 13 \))
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before applying for a credit card, jacob examines his credit report. wh…
to determine if he has a history of good credit
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1\\frac{5}{8} \\times 2\\frac{6}{8} = \\underline{\\quad}
$\frac{55}{32}$ (or $1\frac{23}{32}$)
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use the graph of the function ( w(x) ) shown below to complete each tas…
(a) $-1$ (b) dne (c) $> W'(2)$ (d) $x=0$, $x=2$
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use the graph to answer the question. find the interval(s) over which t…
$(-\infty,-3)$
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1. graph the linear function: $y = 2x - 4$ instructions - click the gra…
Graph the line passing through the points $(0, -4)$ and $(2, 0)$.
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use the graph to answer the question. find the interval(s) over which t…
# Explanation: ## Step1: Define decreasing function A function is decreasing on an interval if as $x$ increases, $y$ decreases (the graph moves downward from left to right). ## St…
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4. enter an equation in the form y=mx+b that represents the function.
$y=4x-3$
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evaluate the limit: \\(\\lim\\limits_{x\\to 0} \\frac{-6\\sin(x)}{5x}\\)
$-\frac{6}{5}$
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evaluate the limit: \\(\\lim_{x \\to 0} \\frac{1 - \\cos^2(x)}{2x}\\)
\(0\)
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what is the total cost of 3 pounds of grapes and 4 pounds of strawberri…
The missing value for strawberries is 12, and the total cost is $\$18$. Filled expression: $\boldsymbol{6 + 12 = 18}$
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question evaluate the limit: \\(\\lim\\limits_{x\\to 0} \\dfrac{5x - 5x…
\(0\)
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find the real - number root using a calculator. round your answer to th…
5.408
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water is entering a pond from the north inlet. water is exiting from th…
$\boldsymbol{-11200}$ liters (the negative value indicates a decrease in the pond's water volume by 11200 liters over the 20 minutes)
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question evaluate the limit: \\(\\lim\\limits_{x\\to 0} \\frac{-3\\sin(…
-6
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find the real - number root using a calculator. round your answer to th…
4.082
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find the real - number root using a calculator. round your answer to th…
22.226
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find the real - number root using a calculator. round your answer to th…
$-5.698$
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find the real-number root using a calculator. round your answer to the …
19.672
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find the real - number root using a calculator. round your answer to th…
9.747
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4) $f(x) = -(x - 4)(x - 2)$
To graph $f(x)=-(x-4)(x-2)$: 1. Plot x-intercepts at $(2, 0)$ and $(4, 0)$ 2. Plot vertex at $(3, 1)$ 3. Plot y-intercept at $(0, -8)$ 4. Draw a downward-opening parabola passing …
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3) $f(x)=(x + 5)(x + 1)$
The graph is an upward-opening parabola with x-intercepts at $(-5, 0)$ and $(-1, 0)$, vertex at $(-3, -4)$, and y-intercept at $(0, 5)$, passing smoothly through all plotted point…
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Question was provided via image upload.
\( (f \circ g)(x) = 3x - 4 \) ### Question 13: Find \( g \circ f \)
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what is the graph of $f(x) = x^2$ for $x \\geq 0$? what is the graph of…
s: - The graph of \( f(x)=x^2 \) for \( x\geq0 \) is the right - hand half of the parabola \( y = x^2 \) with vertex at \((0,0)\) and increasing for \( x\geq0 \). - The inverse fu…
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select the correct answer. how does the author justify her claim that m…
D. by explaining how an English-only requirement would be less efficient and would limit cultural expression
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select the correct detail in the passage. which detail from paragraph 2…
According to the U.S. Census Bureau, 97 percent of Americans currently speak English "well" or "very well."
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8. consider the two functions below. circle the function below that is …
The linear function is Function A. The equation of the linear function is \( y = x+1 \) (Wait, no, wait I think I made a mistake. Wait, looking at the graph again: when \( x = 0 \…
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what is the value of the expression below? 16 \\( 3 \\times 26 + 5(3 \\…
\(138\)
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graph the equation $y = x^2 - 6x + 5$ on the accompanying set of axes. …
The roots of the equation \(x^{2}-6x + 5=0\) are \(x = 1\) and \(x = 5\).
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2. according to the relationship between central and local governments …
c) Confederal ### Question 2
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4. in an autocracy, the leader’s power is usually: a) shared with a par…
b) Unlimited or held by one person ### Question 5
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19. $f(x) = -x^2 - 2x + 3$ 20. $f(x) = -0.5x^2 + x + 3$ find the $y$-in…
19. Y-intercept: $3$, Axis of symmetry: $x=-1$, Vertex: $(-1, 4)$ 21. Y-intercept: $2$, Axis of symmetry: $x=-2$, Vertex: $(-2, -6)$ 23. Y-intercept: $0$, Axis of symmetry: $x=-2$…
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grade 5 fractions find the product. 1. $1 \\frac{2}{4} \\times 3 \\frac…
1. $5\frac{3}{4}$ 3. $9\frac{1}{2}$ 5. $12\frac{1}{12}$ 7. $5\frac{1}{4}$ 9. $12\frac{2}{9}$ 11. $2\frac{5}{8}$ 13. $4\frac{15}{32}$
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solve $( 26 - 15 )^2 - (15 - 7 - 5)^3$
\(94\)
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divide. use long division 19) ((x^3 - 10x^2 + 7x) div (x - 1)) use synt…
$x^2 -9x -2 - \frac{2}{x-1}$ --- ### Problem 20: $(n^3 - 4n^2 + 9) \div (n - 4)$ (Synthetic Division)
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grade 5 fractie find the product. 1. $1\\frac{2}{4} \\times 3\\frac{5}{…
1. $5\frac{3}{4}$ 3. $9\frac{1}{2}$ 5. $12\frac{1}{12}$ 7. $5\frac{1}{4}$ 9. $12\frac{2}{9}$ 11. $2\frac{5}{8}$ 13. $4\frac{15}{32}$
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subtract. 7.19 - 3.25
\(3.94\)
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subtract. 46.92 - 4.37
\(42.55\)
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subtract. 79.42 - 7.8
\(71.62\)
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divide. 216 ÷ 24
\(9\)
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divide. 156÷39
4