微积分
极限、导数、最优化与函数性质。
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line fn is represented by the equation $y = x + 19$. determine the equa…
\( y = x + 16 \)
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line pl is represented by the equation $y = 2x + 1$. determine the equa…
\( y = -\frac{1}{2}x - 7 \)
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some people say that uniforms limit students ability to express themsel…
C. It calmly suggests that clothing may not be the best form of self - expression.
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h(x) = \\begin{cases} 6, & -8 \\leq x < -4 \\\\ 3, & -4 \\leq x \\leq 5…
A
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$$g(x) = \\begin{cases} -3x - 8 &, -4 \\leq x \\leq 0 \\\\ -3x + 9 &, 0…
B
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f(x) = \\begin{cases} -\\dfrac{2}{3}x, & -5 \\leq x \\leq 2 \\\\ 1, & 2…
B. The graph with the first line from \( x = -5 \) (closed dot, \( y\approx3.33 \)) to \( x = 2 \) (closed dot, \( y\approx - 1.33 \)) and the second line as a horizontal line at …
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match each expression with its value. -3 -7 5 undefined $h(-1)$ $h(0.99…
- \( h(-1) \): \(-3\) - \( h(0.999) \): \(-7\) - \( h(1.0001) \): \(5\) - \( h(9) \): \(5\)
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evaluate step functions google classroom microsoft teams match each exp…
- \( f(-3.0001)=3\) - \( f(3.999)=7\) - \( f(4.0001)=-3\) - \( f(9)=\text{Undefined}\)
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h(x) = \\begin{cases} 2 - x &, -7 \\leq x \\leq 5 \\\\ 3x - 21 &, 5 < x…
A
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h(x) = \\begin{cases} -\\dfrac{1}{2}x + 2 &, -6 \\leq x < 4 \\\\ 2x - 8…
B
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f(x) = \\begin{cases} \\frac{1}{2}x + 6 &, -4 \\leq x < 0 \\\\ -5 &, 0 …
B
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h(x) = \\begin{cases} 2, & -3 \\leq x \\leq 1 \\\\ -1, & 1 < x \\leq 7 …
B
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find two functions defined implicitly by this equation.\\(x^2 + 3x + y^…
The coefficient of \( x^2 \) (green box) is \(-1\), the coefficient of \( x \) (gray box) is \(-3\), and the constant term (last gray box) is \( 2 \). So the filled form is \( y =…
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f(x) = \\begin{cases} \\frac{1}{2}x - 4, & -4 \\leq x \\leq 4 \\\\ 2x -…
A
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find two functions defined implicitly by this equation. $4x^2 + y^2 = 2…
The green box (the constant term) should be \( 25 \) and the gray box (the coefficient of \( x^2 \)) should be \( -4 \). So filling in the blanks, we have \( y = \pm\sqrt{25 + (-4…
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find two functions defined implicitly by this equation. $(x - 4)^2 + (y…
The values in the boxes are \(1\), \(4\), and \(-3\) respectively. So the equation is \(y=\pm\sqrt{\boldsymbol{1}}-(x - \boldsymbol{4})^2+\boldsymbol{(-3)}\) (or in the form given…
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mhf4u0 - rchauban given $f(x) = x$ and $g(x) = (x - 2)^2$ a) graph both…
The points of intersection are \( (1,1) \) and \( (4,4) \) ### Part (c) and (d) (Explanation of the region)
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write each fraction as a decimal. 1) \\(\frac{31}{100}\\) 2) \\(\frac{9…
$0.31$ ### 2) $\boldsymbol{\frac{9}{100}}$
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you might need: calculator $f(x) = \\begin{cases} -x - 4 &, \\ x < 3 \\…
\( 9 \)
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you might need: calculator \\(g(t) = \\begin{cases} -2t(t + 1) &, \\ t …
\( 10 \)
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you might need: calculator $g(x) = \\begin{cases} x^2 - 5 &, \\ x \\in …
\( 16 \)
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you might need calculator $f(t) = \\begin{cases} -\\dfrac{64}{t} &, \\ …
\( 0 \)
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name:_________________________ test 3: unit 3 linear functions eq1: wha…
\(\frac{1}{3}\) ### Problem 1b: Find the slope of the line through (4, 3) and (-7, 3)
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the graph of $y = |x|$ is scaled vertically by a factor of $\frac{7}{2}…
D. \( y = \frac{7}{2}|x| \)
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order of operations to evaluate expressions, use the order of operation…
\( 29 \) ### Problem 2: \( 9 \times 3 + 3 \)
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2 darius says that \\(\frac{1}{4}\\) is a division expression and is no…
Badru es correcto. \(\frac{1}{4}\) es una expresión de división (equivalente a \(1 \div 4\)) y también el cociente (resultado) de \(1 \div 4\). Darius está equivocado al decir que…
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6) from chapter 3.2: what is the vertex of this quadratic function? typ…
\((-2, 4)\) ### Question 7
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what is the slope of the linear function described in this table? slope…
\(m = \frac{1}{3}\) (corresponding to the option "m = 1/3")
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given the function f(x) = -2x - 3, find f(2). f(2) = ?
\( -7 \)
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given the function f(x) = 2x + 10, find f(3). f(3) = ?
16
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in the function rule, y = 5x - 1, what is y when x = 0? y = ?
-1
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classify this function. graph of a line linear non - linear
linear
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classify this function. graph of a piecewise linear function options: l…
non - linear
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3. an antique dresser was $115, but is on sale for 30% off. if there is…
The dresser will cost $88.55.
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write the equation that models the linear relationship. the equation \b…
\(y = \frac{1}{3}x + 3\)
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select the correct answer. what was hillary clintons health care propos…
D. to create a single - payer government system that provided every American with health insurance
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¿qué es 453 + 1,268? nanny 37 jennie 19 kiu 40 1,712 1,271 1,721 1,172
1,721 (correspondiente a la opción del botón con 1,721)
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2. if f and g are twice differentiable and if h(x) = f(g(x)), then h(x)…
A. \( f''(g(x))[g'(x)]^2 + f'(g(x))g''(x) \)
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identifying the graph of a translated cubic function which graph repres…
The second graph (the one with the inflection point around \( x=-6,y = - 3 \) and the correct end - behaviors)
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10. \\frac{3}{10} + \\frac{2}{10}
\(\frac{1}{2}\)
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which function represents a translation of the parent cubic function 8 …
\( h(x)=(x + 8)^{3} \) (corresponding to the option \( h(x)=(x + 8)^{3} \))
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analyzing the graph of a cubic function f(x) = -x³ + 4 describe the gra…
s: - The domain of the function is \(\boldsymbol{(-\infty,\infty)}\) (all real numbers). - The range of the function is \(\boldsymbol{(-\infty,\infty)}\) (all real numbers). - The…
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5. con... relationships. which relationship is a function? (four graphs…
A. The graph in Option A (and D if D has unique x - values, but based on typical problem analysis, A is a function)
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warm-up each function below is a translation of the graph of the functi…
- \( m(x)=(x - 1)^2 \) → right 1 - \( k(x)=x^2 + 1 \) → up 1 - \( h(x)=x^2 - 1 \) → down 1 - \( g(x)=(x + 1)^2 \) → left 1
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a bag of dog food says that it now contains 20% more. originally, it ca…
The bag now contains 75.6 ounces of dog food. And the decimal equation is $1.2 \cdot 63 = 75.6$.
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5 - lo opuesto unlimited attempts left due january 7th 8:00 am rodrigos…
### 1. # Explanation: ## Step1: Change "siempre" to "nunca" ## Step2: Change "algún" to "ningún" Rodrigo nunca está leyendo ningún libro. ### 2. # Explanation: ## Step1: Change "T…
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if $f(x) = \\sqrt{\\frac{1}{2}x - 10} + 3$, which inequality can be use…
\(\frac{1}{2}x - 10\geq0\) (corresponding to the option \(\boldsymbol{\frac{1}{2}x-10\geq0}\))
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- alguno o ninguno unlimited attempts left due january 7th 8:00 am ll i…
ninguna ### Question 2
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repaso unlimited attempts left due january 7th 8:00 am completa el sigu…
s: 1. nadie 2. tampoco 3. alguien (or nadie depending on context, but alguien is more likely) 4. Ninguno (or Alguno, but Ninguno is more common here) 5. también
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1 - completar unlimited attempts left due january 7th 8:00 am fill in t…
se enojan ### 2.
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question 5 (multiple choice worth 2 points) (03.03 mc) a rectangular py…
B. A rectangular prism in which \( \text{BA} = 30 \) and \( h = 5 \) has a volume of \( 150 \) units\(^3\). Therefore, Shannon is correct.
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question 6 (multiple choice worth 2 points) (02.03r lc) 8.3 - 3.921 = _…
4.379 (corresponding to the option with "4.379")
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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$$int_{0}^{8} \frac{dx}{sqrt{1 + x}}$$
\(\boxed{4}\)
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the function f is defined as follows. $f(x) = \\sqrt3{x - 8}$ find $f(-…
\( f(-117)=-5 \) \( f(8)=0 \)
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c) (-1\frac{1}{2} \times \frac{3}{4} div \frac{2}{3})
$-\frac{27}{16}$
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what is the absolute value of ¿cuál es el valor absoluto de |-4.8|
\( 4.8 \)
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solve for the absolute value resolver para el valor absoluto |-14| - |-…
13
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use the following information to answer question 4. the partial graph o…
C. \(x=-1\) because the vertex is \((-1,2)\). ### Question 5
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for multiple choice questions, select the best answer and mark it on th…
D. \((-2, -3)\) ### Question 2
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3/10 ÷ 2/4 what is the quotient of these fractions in lowest terms? opt…
B. 3/5
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14. a function is shown below. $f(x) = -\frac{1}{3}x + k$ if $f(21) = 1…
19
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dividing fractions and mixed numbers example: $2 \\frac{2}{3} \\div 1 \…
\( 3\frac{1}{4} \) ### Part b: \( 5\frac{5}{6} \div \frac{2}{3} \)
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lesson 11: dividing polynomials (part1) lt: i will be able to divide po…
The quotient when \(\frac{10x^3-3x^2 - 7x + 3}{2x - 1}\) is divided using the box method is \(5x^2+x - 3\)
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6. $\frac{5}{7} div 2 = \frac{}{} div \frac{}{} = \frac{}{} \times \fra…
\(\frac{5}{7}\div2=\frac{5}{7}\div\frac{2}{1}=\frac{5}{7}\times\frac{1}{2}=\frac{5\times1}{7\times2}=\frac{5}{14}\) So the blanks are filled as: \(\frac{5}{7}\), \(\frac{2}{1}\), …
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7 ÷ \\frac{3}{7} = \\underline{\\quad} ÷ \\underline{\\quad} = \\underl…
$7\div\frac{3}{7} = 7\div\frac{3}{7} = 7\times\frac{7}{3} = \frac{49}{3}=16\frac{1}{3}$ (filling the blanks: first blank $7$, second blank $\frac{3}{7}$, third blank $7$, fourth b…
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describe the end behavior of $f(x) = -10x^6$, and state the domain and …
As \( x \to -\infty \), \( f(x) \to -\infty \) and as \( x \to \infty \), \( f(x) \to -\infty \). domain: all real numbers range: all real numbers \( \leq 0 \) (corresponding to t…
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2. $6 div 3\\frac{2}{9} = \\frac{\\quad}{\\quad} div \\frac{\\quad}{\\q…
\(6\div3\frac{2}{9}=\boldsymbol{\frac{6}{1}}\div\boldsymbol{\frac{29}{9}}=\boldsymbol{\frac{6}{1}}\times\boldsymbol{\frac{9}{29}}=\boldsymbol{\frac{54}{29}}=\boldsymbol{1\frac{25}…
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throwback: find the slope of the line from the graph: $m = \\frac{rise}…
The slope is \(\frac{7}{3}\) #### 2. For points \((-2, 4)\) and \((-2, 7)\)
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why is portability a key reason why digital currency (like debit card b…
The correct option is: It allows you to carry large amounts of wealth without physical weight. ### Second Question:
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in the past, cows were used as money. however, one cow might be healthy…
D. Uniformity ### Second Question:
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graph the parabola. y = x² + 10x + 21 plot five points on the parabola:…
The vertex is \((-5, - 4)\), two points to the left of the vertex are \((-6,-3)\) and \((-7,0)\), and two points to the right of the vertex are \((-4,-3)\) and \((-3,0)\). These p…
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2. 39 × 28
\(1092\)
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in exercises 5–12, graph the function. compare the graph to the graph o…
Let's take problem 5: \( g(x) = 6x^2 \) and compare it to \( f(x)=x^2 \). We can also analyze other problems similarly. Here's the step - by - step for graphing and comparison: ##…
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1 matching 1 point match each given definition with the correct word it…
The length of a cycle - Period ### Question 2 (Multiple Choice)
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1 matching 1 point match each given definition with the correct word it…
- "The height of the graph from the midline" - Amplitude - "The length of a cycle" - Period ### Sub - Question 2 (Multiple Choice)
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question 9 kendra solved the equation $6 - 3.172 =$ ______, and her wor…
The error is that Kendra did not borrow correctly when subtracting the decimal places. The correct solution is \(2.828\).
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question 8 (multiple choice worth 2 points) (02.03r lc) 36.029 - 18.771…
17.258 (assuming the first option is A. 17.258, so the answer is A. 17.258)
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18b. write a rule (equation) for the graph below. * graph of a line wit…
\( y = 4x + 10 \)
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1.803 - 0.724 = ______ 1.121 0.121 2.527 1.079
1.079 (the option with the triangle, or as per the options, the last one: 1.079)
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select the difference between 24.653 and 13.621. 11.034 11.232 10.832 1…
A. 11.034
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select the difference between eight hundred two and forty - six thousan…
501.146 (the option with text "501.146")
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let $f(x) = \\frac{1}{x + 3} + 5$. a) enter the equation of the vertica…
\( x = -3 \) ### Part (b)
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let ( f(x) = \frac{1}{x + 3} + 2 ). a) enter the equation of the vertic…
\( x = - 3 \) ### Part (b)
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estimating sums assignment directions: in box a, estimate the sum by ro…
### Problem 1: \(2.65 + 28.175\) #### Part A: Round to the nearest tenth to estimate ## Step 1: Round each number - For \(2.65\), the hundredth digit is \(5\), so we round up the …
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6 encuentra la pendiente de la recta ( y = \frac{1}{6}x + \frac{9}{2} )…
\(\frac{1}{6}\) ### For the \( y \)-intercept:
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7 multiple choice 1 point which change would most likely occur as a res…
B. There would be a high demand for limited natural resources.
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20) $g(x)=\\frac{-x - 5}{3}$
The x - intercept is \( x=-5 \) (at the point \( (-5,0) \)) and the y - intercept is \( y =-\frac{5}{3} \) (at the point \( (0,-\frac{5}{3}) \)). If the question was to graph the …
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ne if the graphs below represent exponential growth or decay? y growth …
- Domain: \( (-\infty, \infty) \) - Range: \( (0, \infty) \) - Increasing or Decreasing: Increasing - Growth or Decay: Growth - Asymptote: \( y = 0 \) - End Behavior: \( x ightarr…
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precalc check-in: chapter 3.1-3.2 directions: use this paper with the g…
\( i \) ### Problem 2: Simplify \( (4i + 7) + (-3i - 2) - (i + 7) \)
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polynomial long division (level 3) score: 0/2 penalty: 0.25 off questio…
\(4x^{2}+x + 10+\frac{7}{x + 2}\)
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$$int_{0}^{8} \frac{dx}{sqrt{1 + x}}$$
\( 4 \)
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12. the function ( y = -4x + 48 ) models the average number of t - shir…
6
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john missed a payment on his credit card. a collection agency calls dai…
The account may be sent to collections, impacting his credit score ### Second Question (Which action helps reduce unnecessary credit costs?):
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a borrower receives two credit card offers. both offer 0% apr for 6 mon…
A. The penalty APR can drastically increase costs after a single late payment ### Second Question
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find \\(\\frac{1}{2} - \\frac{1}{8}\\). how can i find the difference? …
the same denominator
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find $\frac{1}{2} - \frac{1}{8}$. how can i find the difference? think …
$\frac{3}{8}$; Yes; 8
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find $\frac{1}{2} - \frac{1}{8}$. how can i find the difference? think …
is; $\frac{3}{8}$
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excellence #3: add/subtract show all work & circle your final answer. -…
$161.44$ ### Second Problem: $-97.4 - (-29.2)$
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excellence #2: multiply/ divide integers show all work & circle your fi…
$100$ ### 2. $-19\div -10$