Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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secondary math iii // module 4 rational expressions & functions - 4.2 4…
A possible function is \( f(x)=\frac{1}{x + 15}-6 \) (or any function of the form \( f(x)=\frac{a}{x+15}-6 \) where \( a eq0 \))
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what is the purpose of quotas? ○ to ban all imports from a country ○ to…
C. to limit how much of a good can be imported (assuming the options are labeled A, B, C, D with C being "to limit how much of a good can be imported")
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for items 1–4, find each key feature of the function shown in the graph…
D. -2
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which best describes why governments enact tariffs? ○ to reduce the pri…
B. to discourage consumers from purchasing foreign goods
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a regulatory agency that attempts to limit risk in the banking system i…
C. the OCC
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101) perpendicular to the line y = \\frac{1}{7}x + 5, containing the po…
For 109a (interval \((-2,\frac{3}{2})\)): B) decreasing For 109b (interval \((-2,0)\)): C) increasing
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a mixed - market economy is one in which the government has complete co…
D. there is competition and free enterprise.
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move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex (the lowest point of the parabola) from \((0,0)\) to \((1,0)\). Then adjust the red points: for example, the red points at \( x = -1 \) and \( x = 3 \) should…
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what is one reason why the government would provide financial assistanc…
C. to stimulate the economy while decreasing unemployment
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2. dusty had $4\\frac{1}{3}$ bottles of gatorade. he shared some with h…
Dustin compartió \( 1\frac{2}{3} \) botellas (o \( \frac{5}{3} \) botellas) con sus amigos.
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move at least one of the 5 guide points below to complete the graph of …
To complete the graph of \( y = 7x^2-4 \): 1. Move the blue vertex (the point at the origin \( (0,0) \)) down to \( (0, - 4) \) to account for the \( - 4 \) vertical shift. 2. For…
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move at least one of the 5 guide points below to complete the graph of …
To complete the graph of \( y = \frac{5}{2}x^2 \): - Keep the blue vertex (vertex of the parabola) at \((0,0)\) (no shift, since the function has no horizontal/vertical shift). - …
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move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point from \((0,0)\) to \((-6,0)\), and adjust the red points to be symmetric around \( x=-6 \) (e.g., \((-5,1)\), \((-7,1)\), \((-4,4)\), \((-8,4)\)) to comp…
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score: 5/10 penalty: 0.5 off question what is the equation of the line …
$y=-3x$ (or $3x + y = 0$)
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move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point to \( (0, - 5) \) and adjust the red points (e.g., the red point at \( x = 1 \) should be moved to \( (1, - 4) \), at \( x=-1 \) to \( (-1, - 4) \), at …
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score: 4/10 penalty: 0.5 off question what is the equation of the line …
The equation of the line is $y=-\frac{3}{2}x + 8$ (or $3x + 2y=16$)
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find the domain of the function.\\( f(x) = \\frac{x^3 - x^2 + x + 3}{x^…
C. \(\{x|x\text{ is a real number and }x eq -7\text{ and }x eq -3\}\) Interval notation: \((-\infty, -7)\cup(-7, -3)\cup(-3, \infty)\)
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linear inequalities solving a word problem using a one-step linear ineq…
\( t \geq 80 \)
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find the domain. $f(x)=\\frac{7x^2 - 38}{3x + 19}$ write the domain in …
For set - builder notation: Option B with \( x eq-\frac{19}{3} \) For interval notation: \( (-\infty,-\frac{19}{3})\cup(-\frac{19}{3},\infty) \)
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find the domain of the function $g(x) = \\frac{6}{4x - x^2}$. write bot…
For set - builder notation: A. The domain of \(g\) is \(\{x|x\text{ is a real number and }x eq\boldsymbol{0,4}\}\) For interval notation: The domain of \(g\) is \(\boldsymbol{(-\…
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write the decimal as a fraction or a mixed number. write yo 0.3 0.3 = \…
$\frac{3}{10}$
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a construction crew is lengthening a road. let y represent the total le…
(a) 53 miles (b) 2 miles
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find the domain of the function $f(x) = \\frac{2x - 5}{x + 6}$. write b…
Set - builder notation: The domain of \( f \) is \( \{x|x\text{ is a real number and }x eq - 6\} \) (corresponding to option B with \( - 6 \) filled). Interval notation: The doma…
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functions and lines writing and evaluating a function that models a rea…
Equation: \( N = 2M \) Number of novels in 15 months: 30 novels
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evaluate the function, f(x) = 4x² - 6x + 3, at the indicated values. a)…
a) \( f(0)=\boldsymbol{3} \) b) \( f(1)=\boldsymbol{1} \)
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which equation best matches the graph shown below? answer $y = 2(x - 4)…
\(y=-2(x - 4)^2+1\) (the fourth option: \(y=-2(x - 4)^2+1\))
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evaluate the function f(x) = -8x + 6 at the indicated values. a) find f…
a) \( f(0)=\boldsymbol{6} \) b) \( f(-5)=\boldsymbol{46} \)
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denice buys a pack of 79 highlighters. she gives 9 to her teacher and s…
The value of \( x \) is 14, and the equation (or calculation) is \((79 - 9) \div 5 = 14\) (or \(5x + 9 = 79\) with \(x = 14\)).
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which equation best matches the graph shown below? answer $y = -0.2(x +…
\( y = -0.2(x + 3)^2 + 3 \)
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graph the following features: slope = $-\frac{2}{3}$ y-intercept = $-2$
# Explanation: ## Step1: Plot the y - intercept The y - intercept is given as \(y=- 2\). So, we first mark the point \((0,-2)\) on the coordinate plane. This is because the y - in…
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graph the following features: • y-intercept = -1 • slope = \\(\\frac{2}…
The graph is a straight line passing through \((0, - 1)\) with a slope of \(\frac{2}{5}\) (passing through other points like \((5,1)\) or \((-5,-3)\) as calculated). The line is d…
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3. $y = \\frac{1}{3}x + 3$ $y = \\frac{1}{3}x - 2$
The two lines \( y = \frac{1}{3}x + 3 \) and \( y = \frac{1}{3}x - 2 \) are parallel. To graph them, plot \( (0, 3) \) for the first line and use the slope \( \frac{1}{3} \) to dr…
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functions and lines interpreting the domain and range of a linear funct…
(a) When the movie begins, the amount of time is \( \boldsymbol{0} \) minute(s). When the movie ends, the amount of time is \( \boldsymbol{100} \) minute(s). Each value in the \(\…
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simplify. |8 - 20|·(-5) ÷ (-5) |8 - 20|·(-5) ÷ (-5) = -65
\(12\)
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3. ( y = \frac{1}{3}x + 3 ) ( y = \frac{1}{3}x - 2 ) 5. ( y = -\frac{5}…
The solution to the system \( \begin{cases}y = -\frac{5}{2}x - 2\\y=\frac{1}{2}x + 4\end{cases} \) is \( x=-2,y = 3 \) (the point \((-2,3)\)).
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functions and lines interpreting the domain and range of a linear funct…
(a) The machine is turned on when the amount of time is \( \boldsymbol{0} \) minute(s). The machine stays on until the amount of time is \( \boldsymbol{8} \) minute(s). Each value…
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unit 1: foundations of government constitution: the fundamental set of …
Politics (under Social Science)
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final review #1 question 25 of 35 (1 point) | question attempt: 1 of un…
1, 3, 9
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7x + 10? (-4, 2) (2, -4) b) (5, 25) d) (10, 0) that passes through the …
a) \( f(5)=-7 \) b) \( x = - 4 \)
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Question was provided via image upload.
2 1 4 3 5 6
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final exam practice 41 of 49 this quiz: 49 point(s) possible this quest…
a) C. Yes, because a vertical line cannot be drawn to intersect the graph at more than one point. b) Domain: $(-\infty, \infty)$, Range: $(-\infty, \infty)$ c) 4 d) 2
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what is the slope of the line whose equation is $y - 4 = \\frac{5}{2}(x…
\(\frac{5}{2}\)
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y = mx + b slope intercept 95 - 96 95) slope = 2 (-2, 2)
The equation of the line in slope - intercept form is $y = 2x+6$
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consider the function $f(x)=8 - 6(0.75)^x$. its graph is shown below al…
The function \( f(x)=8 - 6(0.75)^x \) increases to its horizontal asymptote because the exponential term \( (0.75)^x \) (with base \( 0 < 0.75 < 1 \), so it decreases as \( x \) i…
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what is the slope of the line with equation $y - 3 = -\frac{1}{2}(x - 2…
\(-\frac{1}{2}\)
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given the equation $y + 2 = -\frac{21}{22}(x + 16)$, convert the equati…
\( y = -\frac{21}{22}x - \frac{190}{11} \) (corresponding to the first option: \( y = -\frac{21}{22}x - \frac{190}{11} \))
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megs credit limit is $8000. she currently has a balance of $800. if she…
\$2400
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scott has a credit limit of $8000 and a $1600 balance. he wants to use …
$800$
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scott has a credit limit of $8000 and a $1600 balance. he wants to use …
\$800
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wyatt has a credit limit of $12500 and has a balance of $7700. he wants…
Wyatt should pay $4200$ on his debt.
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question 5 you have a credit limit of $10000 and a balance of $3400. yo…
A. Pay $500 to reduce the utilization ratio.
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question: 15 a gardener has 120 feet of fencing. he wishes to enclose a…
C. domain = (0, 60) range = (0, 900)
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what is the slope of this line? the line passes through points (-6, 8) …
\(-\frac{3}{2}\)
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question: 13 which of the following describes the interval of increase …
A. $(-\infty, \infty)$ ### Question 14
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question: 12 the graph below shows the function ( g(x) = x^2 ) and a tr…
B. The function \( g(x) = x^2 \) is shifted 3 units to the right and 1 unit up to obtain the function \( f(x) = (x - 3)^2 + 1 \)
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question 4 which person has the lowest credit utilization ratio? amy: $…
John. $8000$ credit limit and $3200$ balance.
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when working to persuade an audience it is important to _______. a. ask…
a. ask for limited amounts of change
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question 1 credit utilization is the percentage of your credit limit th…
True
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question 2 what is the recommended credit utilization ratio to maintain…
30%
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question: 8 the function f(x) is represented by f(x) = x the graph of t…
D. \( 2 < x < \infty \)
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question: 7 the graph below shows the height of a basketball after it i…
B. \([0, 6.2]\)
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the function f(x) is represented by the graph below. over what interval…
C. \( -\infty\leq x\leq0 \)
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incorrect 1 try left. try once more estimate \\(\\sqrt3{923}\\) to the …
10
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question: 4 consider the following: $f(x) = x^2 - 2x - 3$ where is the …
A. \( x = -1 \) and \( x = 3 \)
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question: 3 the table below defines a quadratic function. | x | f(x) | …
B. -2
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question: 2 consider the table of a function ( f(x) ). | ( x ) | ( f(x)…
B. Quadratic
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which of the following investments is characterized by the following tr…
a. Bonds ### Second Sub - Question (Rent - to - own Agreements)
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23) the vertex of a quadratic is (3,-4) and it passes through the point…
The quadratic function is \( y = 2(x - 3)^2 - 4 \) (or expanded form \( y = 2x^2 - 12x + 14 \))
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which of the following is an advantage of maintaining a good credit sco…
b. Greater chance of receiving a loan with a low interest rate ### Second Question (Practice negatively affecting credit score)
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line n has a slope of \\(\\frac{2}{9}\\). line s is parallel to line n.…
$\frac{2}{9}$
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*25. \\sqrt{64} + 5^2 - \\sqrt{25} \\times (2 + 3) answer:
8
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abdul is sitting in a movie theater, 13 meters from the screen. the ang…
\(19.6\) meters
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find the slope of the graph and the equation. do they have the same slo…
Slope of graph = \(1\) Slope of equation = \(-1\) No, the slopes are not the same.
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which of the following investments is characterized by the following tr…
b. Traditional savings account ### Second Question (Interest Term)
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translated up 4 units 40. the graph below shows a function. which of th…
D. All real numbers greater than or equal to -4
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line u passes through points (10, 9) and (7, 5). line v is perpendicula…
\(-\frac{3}{4}\)
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the equation of line s is y = (8/7)x + 5/4. the equation of line t is y…
parallel
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convert the equations below to standard form 20) f(x)=-3(x + 4)^2 + 2
\(f(x)=-3x^{2}-24x - 46\)
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39. the function, $f(x) = x^2$ is transformed to create $g(x)$ shown in…
First, \( f(x) \) was reflected over the x - axis; The result was then translated up 4 units.
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38. identify the range of values of the function f(x) = -3x - 5 for the…
The range values are \( 1, -5, -14 \) (corresponding to the boxes with values 1, -5, -14 among the given options).
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18) $y = -2(x - 1)^2 - 3$
The parabola \( y = -2(x - 1)^2 - 3 \) has vertex \((1, -3)\) and opens downward. (If the question was about identifying vertex/direction, this is the key info. If it was to sketc…
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the height of a mythical beast, in feet, t years after birth is given b…
5.7
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a particles velocity, in \\(\\frac{m}{s}\\), at a particular time \\(t\…
\(416.6\)
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f(x) = 5(3)^{x+3} for the given function f, which of the following equi…
D. \(f(x)=135(3)^{x}\)
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the global population of a specific breed of trees, after t decades, is…
The population of trees after \( t = 7 \) decades is \( 86848 \).
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34. determine the domain and range of the exponential function, $f(x) =…
Domain: D. \( \{x: x\in\mathbb{R}\} \) Range: B. \( \{y: y > 1\} \)
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ivan works for an automobile factory that exports cars around the world…
C. a command economy with heavy government regulation.
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f(x) = 5(3)^{x+3} for the given function f, which of the following equi…
D. \(f(x) = 135(3)^{x}\)
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34. determine the domain and range of the exponential function, $f(x) =…
Domain: D. \( \{x : x \in \mathbb{R}\} \) Range: B. \( \{y : y > 1\} \)
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2 why were the rush - bagot agreement and the convention of 1818 compro…
The Rush - Bagot Agreement (1817) and the Convention of 1818 were compromises to resolve post - War of 1812 tensions between the U.S. and Britain. The Rush - Bagot Agreement limit…
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graph the absolute value function represented by the table of values. |…
The graph is formed by plotting the points \((-7, -2)\), \((-6, 0)\), \((-5, 2)\), \((-4, 0)\), \((-3, -2)\) and connecting them in a "V" - shape with vertex at \((-5, 2)\) (the g…
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f(x) = 5(3)^{x+3} for the given function f, which of the following equi…
D) \(f(x) = 135(3)^{x}\)
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31. what is $f(-8)$ for the function $f$? $f(x) = \\frac{11(x - 24)}{2}…
C. -176
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8). use the first derivative test to find the local maxima and minima f…
The function \(f(x) = 6x^{4}\ln(x^{2})-2x^{4}\) has local minima at \(x = \pm e^{-\frac{1}{12}}\) with local minimum value \(f(\pm e^{-\frac{1}{12}})=-3e^{-\frac{1}{3}}\). There a…
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29. simplify the expression. $6\\sqrt{\\frac{25}{36}} - \\sqrt{49}$ sel…
\(-2\)
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question 18 of 40 which function is the inverse of $y = 2x + \\frac{5}{…
B. $y = \frac{1}{2}x - \frac{5}{4}$
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question 10 of 40 how many solutions does this nonlinear system of equa…
A. Two
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you invest $4000 in a bank account with 5% interest compounded annually…
A. \( 8000 = 4000(1.05)^t \); 14.2 years
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function 1: h(x) = -(x - 2)² + 9; function 2: (image of graph of j(x))
(If the question was about, for example, the x - intercepts of both functions, the x - intercepts of both \( h(x) \) and \( j(x) \) are \( \boldsymbol{(-1, 0)} \) and \( \boldsymb…
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question 6 of 40 choose which function is represented by the graph. a. …
C. \(f(x)=(x - 10)(x - 5)(x - 2)(x + 1)\)