微積分
極限、導數、最優化與函數性質。
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what is one way a command economy affects the lives of private citizens…
A. Citizens cannot make most economic decisions.
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write the equation of the line in fully simplified slope - intercept fo…
\(y=-6x + 5\)
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marin was in the finals of the speech presentation competition. each st…
B. Limitations can lead to creativity, and communicating well is more important than creating a spectacle.
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find the sum. write your answer as a mixed number. $8\\frac{4}{6}+\\fra…
$9\frac{1}{2}$
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choose the sum that is greater than 9. $8\\frac{2}{6}+\\frac{4}{6}$ $8\…
$8\frac{4}{6} + \frac{5}{6}$
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choose the sum that is less than 4. 3\\frac{2}{5} + \\frac{1}{5} find t…
For the first question: $3\frac{2}{5} + \frac{1}{5}$ is the sum less than 4. For the second question: $3\frac{3}{5}$
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solve the equation.\ $10 \\ln(100x) - 3 = 117$\ $x = ?$\ round to the n…
\( x \approx 1627.55 \)
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1\\frac{5}{8} 1 2 \\boldsymbol{\\cdot} complete the statement. \\boldsy…
$\frac{4}{8}$
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what steps can mia take to avoid accidental posts or errors on company …
Double-check all messages and posts before publishing.
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find the correct sum. write your answer as a mixed number. \\(\\frac{5}…
$4\frac{4}{8}$
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this question has two parts. first, answer part a. then, answer part b.…
## Part a $\boldsymbol{-0.1}x^2+\boldsymbol{0.8}x+\boldsymbol{2} = \frac{3}{4}(x-\boldsymbol{9})$ ## Part b about $\boldsymbol{9.6}$ yd
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solve the equation. if necessary, round to the nearest hundredth.\\(x^3…
A) -0.69, 1.75, 4.95
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solve the equation. if necessary, round to the nearest hundredth.\\(x^4…
C) $-2.47, 1.29$
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this question has two parts. first, answer part a. then, answer part b.…
### Part A $\pi x^3 + \boldsymbol{3}\pi x^2 = \boldsymbol{628}$ ### Part B $y = \pi x^3 + \boldsymbol{3}\pi x^2$, $y = \boldsymbol{628}$; $x = \boldsymbol{5}$ radius = $\boldsymbo…
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math day 3 ng fractions b. write any fraction that is less than \\(\\fr…
(for part b): $\frac{1}{9}$ (or any fraction less than $\frac{1}{8}$, e.g., $\frac{1}{10}$, $\frac{0}{8}$) ### Part d (comparing $\frac{1}{2}$ and $\frac{2}{3}$)
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y = -3 - 18x y = 14 - x
\( x = -1 \), \( y = 15 \)
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question: what is one difference between a post and page? pages have ac…
B. Posts are meant to be added frequently, while pages are usually only changed a couple times a year
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14. if $f(x) = (x - 2)^2 + 1$, which point is the vertex of the parabol…
a. (2,1)
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use the graph of g to find g(-12). g(-12)=\\square
$8.6$ (or $\frac{43}{5}$)
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10. how does the negative coefficient of the ( x^2 ) term in a quadrati…
a. The parabola opens downward.
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9. how does adding a constant to $y = ax^2$ affect the parabola? a. str…
d. Shifts it upward
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1. is the following function linear or nonlinear? how do you know? 2. i…
1. Nonlinear; the graph is a curved line (not straight). 2. $y \approx 4$ 3. $x \approx -7$ and $x \approx -1$ 4. No; $y=mx+b$ represents a straight linear function, but the given…
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5. the function $f(x) = 4x^2$ represents which transformation? a. shift…
d. Vertical stretch by 4
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solve this system of equations by graphing. first graph the equations, …
$(-2, 2)$
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part i (1 point each) a. human culture b. budget constraint c. economic…
f. Macroeconomics ### Question 2
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y = -3 - 18x\ y = 14 - x
\( x = -1 \), \( y = 15 \)
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practice writing an equation for a linear function from a verbal descri…
The drone’s descent can be modeled by a linear function because it is lowered at a constant rate. A linear function requires a constant rate of change (slope), and the drone’s hei…
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f(x) = \\begin{cases} 3 & \\text{for} & x < -4 \\\\ x & \\text{for} & x…
To graph the piecewise function: 1. For \( \boldsymbol{x < -4} \): Draw a horizontal line at \( y = 3 \) from the left (e.g., \( x = -10 \)) to \( x = -4 \) (open circle at \( (-4…
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solve the following system of equations graphically on the set of axes …
The solution is $x = -4$, $y = 4$ (the point $(-4, 4)$ is the intersection of the two lines).
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if $f(x) = -x^2 + 3x + 5$ and $g(x) = x^2 + 2x$, which graph shows the …
The correct graph is the first one shown: a straight line passing through $(0,5)$ and $(-1,0)$, with a positive steep slope matching $y=5x+5$.
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which statement best explains how world war ii affected the u.s. home f…
C. Rationing of resources became important.
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when simplifying a radical, and you get an answer like \\(\\sqrt{49}\\)…
1) $\sqrt{4*3}$, $\sqrt{4}*\sqrt{3}$, $2\sqrt{3}$ 2) $\sqrt{9*2}$, $\sqrt{9}*\sqrt{2}$, $3\sqrt{2}$ 3) $\sqrt{4*6}$, $\sqrt{4}*\sqrt{6}$, $2\sqrt{6}$ 4) $\sqrt{25*3}$, $\sqrt{25}*…
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1) the exponential equation $3^x = 12$ does not have an integer solutio…
$x \approx 2.26$
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solve for r. 11 + 9 = r r = submit
\( r = 20 \)
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the three main ideas behind capitalism as defined by adam smith are fre…
competition, self interest, and laissez-faire.
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use the list below to answer the question. - the united states supplied…
A. The global role of the United States in world politics increased.
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given f(x) = -5x - 15, find f(4).
\( -35 \)
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3. find the coordinates of the vertex of the following parabola algebra…
$(-6, -9)$
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1.3 completa 1.3.1- si f(x) = x + 1 y g(x) 1.3.2- al comparar $\\log_3 …
### Parte a: Demostrar \( 2 - A(x) = B(x) \) Primero, recordemos la definición de \( A(x) = \sin^2 2x \cdot \tan x \) y \( B(x) = 2\cos^2 x \). Pero quizás hay un error de transcr…
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date: solving quadratics day 3 5. solve the following function by graph…
$x = -1$ and $x = 3$
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grade 6 fraction worksheet find the product 1 ( 6\frac{8}{9} \times 12\…
Let's solve these fraction multiplication problems one by one. We'll start with problem 1: ### Problem 1: $6\frac{8}{9} \times 12\frac{1}{6}$ ## Step 1: Convert mixed numbers to i…
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given $f(x) = x + 4$ and $g(x) = x^2 + 1$, find the value of $f(2) + g(…
16
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6. solve the following function by graphing $-x^2 - 6x - 5 = 0$
$x=-5$ and $x=-1$
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red line interval increasing decreasing constant what is the interval? …
\((-\infty, - 3)\) (or if considering the graph's visible range, \([-10, - 3]\))
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question 1 of 6 working with a broker or brokerage firm is ------------…
recommended but optional for making investments.
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2.03 evaluating functions hw 6. if $g(x) = \\frac{2x}{9}$, 6a find $g(5…
\( \frac{10}{9} \)
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imals 678.9 × 1.23 ————
835.047
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2.03 evaluating functions hw 5. if \\( f(x) = 2x - 8 \\), 5a find \\( f…
\( f(-5)=-18 \)
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2.03 evaluating functions hw 5. if $f(x) = 2x - 8$, 5a find $f(5)$ $f(5…
\( f(5)=2 \)
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2.03 evaluating functions hw 4. if $f(x) = 5x + 10$, 4a find $f(4)$. $f…
\( 30 \)
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3. consider the function $f(x) = -6x + 7$. 3a find the value of $f(2)$.…
\( f(5) = -23 \)
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3. consider the function $f(x) = -6x + 7$. 3a find the value of $f(2)$.…
\( f(2) = -5 \)
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2. consider the function $f(x) = 4x + 3$. 2a find the value of $f(4)$. …
\( f(8)=35 \)
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2. consider the function $f(x) = 4x + 3$. 2a find the value of $f(4)$. …
\( f(4)=19 \)
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grade 6 fraction worksheet find the product 1. $6\\frac{8}{9} \\times 1…
\( 83\frac{41}{63} \) ### Problem 2: \( 4\frac{3}{8} \times 11\frac{7}{12} \)
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3. (1, 4) and (0, 11) slope:________
$-7$
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decomposing fractions solve each question and write the matching letter…
First, map each result to its letter: - $\frac{2}{3}$ = T - $\frac{3}{8}$ = H - $\frac{3}{5}$ = E - $\frac{2}{5}$ = Y - $\frac{3}{8}$ = H - $\frac{4}{8}=\frac{1}{2}$ = O/A - $1\fr…
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grammar passage short - term memory short - term memory is the capacity…
C. sentence: you
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decomposing fractions solve each question and write the matching letter…
The completed phrase is: **THEY GO TO A ROO HOSPITAL** (With individual fraction sums: O: $\frac{1}{2}$, A: $\frac{1}{2}$, R: $\frac{3}{4}$, E: $\frac{3}{5}$, N: $1\frac{1}{4}$, T…
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9) identify the holes, vertical asymptotes, horizontal asymptote, and t…
C
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8) identify the horizontal asymptotes $f(x) = \\frac{x + 4}{x^2 + 5x + …
A) \( y = 0 \)
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7) identify the vertical asymptotes of $f(x) = \\frac{x^2 - 5x + 4}{-4x…
D) \(x = -1\)
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find the slope. * 2) (14, -20), (-12, -20) a) undefined b) -1 c) 0 d) 1…
2) C) 0 3) D) $\frac{3}{17}$
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quiz 8 write the equation of a graph f(x) = a = b = asymptote =
$a=2$ $b=2$ asymptote: $y=0$ $f(x)=2(2)^x$ (or $f(x)=2^{x+1}$)
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6) if the following graph is transformed so that it is 6 times as steep…
\( y = 6x + 4\) (the first option among the given choices)
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graph the exponential function. $f(x) = 3^x$ plot five points on the gr…
The five points to plot are \(\boldsymbol{(-2, \frac{1}{9})}\), \(\boldsymbol{(-1, \frac{1}{3})}\), \(\boldsymbol{(0, 1)}\), \(\boldsymbol{(1, 3)}\), and \(\boldsymbol{(2, 9)}\). …
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y = \\frac{7}{4}x - 3\ y = x\ click to select points on the graph.
For $y=x$: Plot points $(0,0)$, $(-4,-4)$, $(4,4)$ and draw a straight line through them. For $y=\frac{7}{4}x-3$: Plot points $(0,-3)$, $(-4,-10)$, $(4,4)$ and draw a straight lin…
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find the value of each expression. 1. 7 - 6 + 5 2. 31 + 19 - 8 3. 64 - …
\(6\) ### Problem 2: \(31 + 19 - 8\)
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graph the exponential function. $g(x) = 2^x$ plot five points on the gr…
The five points to plot are $(-2, 0.25)$, $(-1, 0.5)$, $(0, 1)$, $(1, 2)$, $(2, 4)$. Draw a smooth exponential curve through these points that approaches the x-axis for negative x…
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this graph represents the situation. what is the slope of the line? ele…
3
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graph the function: ( g(x) = \frac{1}{2}x^2 ) plot five points on the g…
Plot the following points and draw the parabola: 1. $(0, 0)$ 2. $(-2, 2)$ 3. $(-4, 8)$ 4. $(2, 2)$ 5. $(4, 8)$
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whatever must be given up to obtain some item; production possibilities…
opportunity cost
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this graph represents the situation. what is the slope of the line? ele…
2
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9. (13 \times 4 - 72 div 8)\\10. (16 div 2 + 8 \times 3)\\11. (30 div (…
\( 43 \) ### Problem 10: \( 16 \div 2 + 8 \times 3 \)
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graph the function. ( h(x) = x^2 ) plot five points on the graph of the…
Plot the following points and connect them to form the parabola: $(0, 0)$, $(-1, 1)$, $(-2, 4)$, $(1, 1)$, $(2, 4)$
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analyzing relationships in exercises 25 and 26, describe the x-values f…
(a) $x > 4$ (b) $x < 4$ (c) $x < 3$ or $x > 5$ (d) $3 < x < 5$ --- ### For Exercise 26:
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graph the function. $f(x) = -3x^2$ plot five points on the graph of the…
Plot the five points: $(0, 0)$, $(-1, -3)$, $(-2, -12)$, $(1, -3)$, $(2, -12)$, then draw a downward-opening parabola through these points.
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unit 1 - study questions 1. what is scarcity? 2. what are productive re…
1. Scarcity is the basic economic problem where unlimited human wants and needs exceed the limited resources available to fulfill them. 2. Productive resources are used to produce…
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this graph represents the situation. first, find the slope. the slope i…
Coordinates of points: $(2, 22)$ and $(3, 30)$ Slope: $8$
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which function has this end behavior of up and up based on leading coef…
The function with the given end behavior is \(x^4 + 3x^3-4x + 1\) (the first option, green box).
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the graphs of all polynomial functions are ______, which means that the…
C. Continuous
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to produce function g, function f was reflected over the x - axis and d…
shifted up 2 units
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x → -∞ f(x) → -∞ x → +∞ f(x) → +∞ which function has this end behavior …
Green option: \( x^5 - 4x^4 + 2x^2 - 1 \)
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what is the degree of the polynomial graphed? negative odd even positive
B. Odd
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what are the features of function g if ( g(x) = -f(x) - 1 )? ( y )-inte…
\( y \) - intercept at \( (0,-1) \) (along with range \( (-1,\infty) \), domain \( (0,\infty) \) and vertical asymptote \( x = 0 \) as correct features)
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select the correct answer. what is the equation of the asymptote for th…
A. \( x = 0 \)
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which of the following limits presidential service to two terms (or ten…
1. B) the 22nd Amendment 2. B) 15
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select the correct answer. which function is increasing and has a domai…
B. \( f(x) = \log(x - 1) + 2 \)
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question given g(x) = -3x - 5, find g(4). answer attempt 1 out of 2
\( -17 \)
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evaluate linear functions this is the only question in this section. qu…
11
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use this graph of g to find g(7).
\( \boxed{-8} \)
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graph the exponential function. $g(x)=2^x$ plot five points on the grap…
The five points to plot are $(-2, 0.25)$, $(-1, 0.5)$, $(0, 1)$, $(1, 2)$, $(2, 4)$. The graph is a smooth increasing exponential curve that approaches the x-axis as $x$ decreases…
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b 308 × 7 2,□56 c 1□ 445 × 34 □,□80 + 13,□5□ □□,130
Part b: The missing digit in the product is 1, so the full equation is $308 \times 7 = 2156$ Part c: - Top carryover digits: 2 (above 4, units place) and 1 (above 4, tens place) -…
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graph the function. $f(x) = -3x^2$ plot five points on the graph of the…
Plot the following five points on the grid, then use the graph-a-function button: 1. $(0, 0)$ 2. $(-1, -3)$ 3. $(-2, -12)$ 4. $(1, -3)$ 5. $(2, -12)$ The graph will be a downward-…
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4 56 × 2 392 + 1,1 0 1,512
The missing digits (top to bottom) are 4, 7, 2. - Top small square: 4 - Square in multiplier: 7 - Square in 1,1□0: 2
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a ⁴56 × 2□ ----- ¹392 + 1,1□0 ----- 1,512
Top gray square: 3, units digit of multiplier: 7, tens digit in 1,1□0: 2
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a list and add the four partial products for problem a to double - chec…
## Problem a: Missing digit in multiplier: 7 Missing digit in partial product: 5 Four partial products: $6 \times 7 = 42$ $6 \times 20 = 120$ $50 \times 7 = 350$ $50 \times 20 = 1…
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question 5 of 13 what is one significant disadvantage of using a credit…
D. High interest rates and fees if not paid on time
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question 4 of 13 what is a major benefit of using a debit card over car…
C. Provides security against carrying large amounts of money
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question 8 0.5 pts in the equation $y = 3|x - 6| + 1$, what does the 6 …
B. Moves right 6 ### Question 9