Calculus
Limits, derivatives, optimization, and behavior of functions.
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the polynomial function f(x) is graphed below. fill in the form below r…
The degree of $f(x)$ is $\boldsymbol{4}$ and the leading coefficient is $\boldsymbol{positive}$. There are $\boldsymbol{1}$ different real zeros and $\boldsymbol{2}$ relative mini…
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y = -\\frac{3}{2}x + 2
The line passes through points $(0, 2)$ and $(2, -1)$, and extends infinitely in both directions on the coordinate grid.
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y = -x - 5
The line $y=-x-5$ is graphed by plotting the intercepts $(0, -5)$ and $(-5, 0)$ and drawing a straight line through these points.
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assume that the situation can be expressed as a linear cost function. f…
The cost function is \( C(x) = 20x + 200 \)
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number ten y = 1.5^x does the function represent growth or decay? growt…
- Does the function represent growth or decay? Growth - What is the initial amount? 1 - What is the rate of growth or decay? 50% (or 0.5)
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the housing and urban development act of 1965 and the fair housing act …
improving housing and living conditions in cities.
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which interval for the graphed function contains the local minimum?\ \\…
\([-3, -1]\)
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given the function $f(x) = \\begin{cases} x^2 + a & \\text{for } x \\le…
$a=2$
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5-7. use the graph of $f(x) = -x^2 + 9$ to sketch the graph of $y = \\f…
Asymptotes: $x=3$, $x=-3$, $y=0$
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which is the initial value that shrinks an exponential growth function …
\(\frac{1}{2}\) (the option corresponding to \(\frac{1}{2}\))
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a line is drawn through (-4, 3) and (4, 3). which describes whether or …
The line does not represent a direct variation because it does not go through the origin. (Third option: The line does not represent a direct variation because it does not go thro…
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a ball is thrown from an initial height of 3 feet with an initial upwar…
$t\approx0.42$ or $t\approx0.89$
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the graph of $f(x) = \\frac{1}{2}(2.5)^x$ and its reflection across the…
all real numbers less than 0
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solving quadratics with square roots (level 1) score: 1/5 penalty: 1 of…
$x = \pm \sqrt{10}$
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wednesday write an equation graph of a line y = 2x + -1 select all true…
\(y = 2x-1\) ### Sub - question 2: Select all true statements about the function (Wednesday - Function A and B)
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the graph shows the relationship between the volume of the water in the…
\( 0.01 \) (or \(\frac{1}{100}\))
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do you understand? 1. jesse has a bottle that contains \\(\\frac{7}{10}…
Yes, Jesse is correct. After subtracting the amount he drank ($\frac{2}{10}$ liter) from the initial amount ($\frac{7}{10}$ liter), we get $\frac{5}{10}$ liter, which simplifies t…
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14. -110 + (-1200) = ______
\(-1310\)
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5) what is the equation of this quadratic? graph of a parabola with x-i…
y = 1/2 (x - 2)(x + 6)
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6.2 × 9 ———
55.8
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subtracting fractions works just like adding fractions. in fact, you co…
23, 84
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part b find the sum of 1/6 and 5/8. enter the numerator followed by the…
19, 24
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if \\(\\ln(x) = -0.123\\), what does \\(x\\) equal? express your answer…
0.884
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place each item into an area labeled with its equivalent value. view av…
-2: $\log(0.01)$ -1: $\log(0.1)$ 0: $\log(1)$ 1: $\log(10)$ 2: $\log(100)$
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the functions f and g are defined as follows. $f(x) = -3x + 4$ $g(x) = …
$f(6) = -14$ $g(-3) = 79$
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the functions f and g are defined as follows. $f(x)=2x^2 - 3x$ $g(x)=-2…
$f(-5)=65$ $g(4)=-11$
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11.) the output is double the input.
$y=2x$
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the functions f and g are defined as follows. $f(x)=2x+2$ $g(x)=-4x^2 -…
$f(-5) = -8$ $g(4) = -67$
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635 = 600 + 30 + 5 519 = 500 + 10 + 9 subtract the hundreds, the tens, …
First, \(635 - 519 = \boldsymbol{100} + \boldsymbol{20} + \boldsymbol{(-4)}\) (but usually, we use borrowing, so it's \(100 + 10 + 6\)), and the final answer is \(\boldsymbol{116}…
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select the correct answer. which of the following describes how hoover …
They both supported quotas on the number of immigrants who entered the US.
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find 328 - 193. first, finish writing both numbers in expanded form. 32…
\(193=\boxed{100}+\boxed{90}+\boxed{3}\)
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find 951 - 238. first, finish writing both numbers in ex 951 = 900 + 50…
\(238 = \boldsymbol{200} + \boldsymbol{30} + \boldsymbol{8}\)
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3) graph of a line on a coordinate plane 5) graph of a line on a coordi…
\(y = -5x - 1\) ### Problem 5:
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what fraction of \\(\\frac{1}{2}\\) is \\(\\frac{1}{3}\\)? use the grid…
$\frac{2}{3}$
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d 82 × 53 = four - square grid
\(4346\)
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c. 85 × 12 = ____ d. 82 × 53 = ____
\( 1020 \) ### Part d: \( 82 \times 53 \)
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a $f(x)=\frac{18}{5}x + 41$ b $f(x)=\frac{18}{5}x + 184$ c $f(x)=\frac{…
A. \( f(x)=\frac{18}{5}x + 41 \)
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estimate the sum. round each number to the nearest whole number, then a…
\(10\)
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estimate the difference. round each number to the nearest whole number,…
2
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estimate the sum. round each number to the nearest whole number, then a…
6
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ation 2dg x 2dg wo digits by two digits. b. 78 × 58 =
\(4524\)
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six graphs are shown below. click on the tabs to see them. graph 1 grap…
Graph 4 represents a function (as confirmed by the vertical line test). (If the question is about which graphs are functions, and Graph 4 is one, the answer includes Graph 4. Assu…
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ation 2dg x 2dg two digits by two digits. b. 78 × 58 =
\(4524\)
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show that the function $f(x) = 3(x - 5)^2 + 7$ is not one-to-one.
Since \(f(4)=f(6) = 10\) and \(4 eq6\), the function \(f(x)=3(x - 5)^2+7\) is not one - to - one.
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h(x) = \\begin{cases} -3x - 1 & \\text{if } x \\leq 1 \\\\ -5 & \\text{…
The top - left graph (the first graph) is the correct graph for \( h(x)=\begin{cases}-3x - 1, & x\leq1\\-5, & x > 1\end{cases} \)
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8. $-4x + 3y < -9$ $-2x + 2y > -4$
The solution is the region where $y < \frac{4}{3}x - 3$ and $y > x - 2$, represented by the overlapping area below the dashed line $y=\frac{4}{3}x-3$ and above the dashed line $y=…
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b. $10^{2} \\times 9 + (12 - 2)^{3} \\div 4$
\(1150\)
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divide. \\(\\frac{1}{4} \\div \\frac{2}{3} = \\square\\) submit
$\frac{3}{8}$
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divide. \\frac{1}{4} \\div \\frac{4}{5} = \\square submit
$\frac{5}{16}$
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x | y -3 | 5 -2 | 2 -1 | -1 0 | -4 1 | -7 what is the slope? options: -…
-3
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select the correct choice below and fill in the answer box(es) to compl…
B. $838 \div 66 = 12$ R $46$
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what is the slope? (there is a table with x and y values, but the text …
4
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when $x \\leq 2$, what equation is shown in the graph? $f(x)=|x - 1|$ $…
\( f(x)=|x| \) (the third option: \( f(x)=|x| \))
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the constitution of the state of texas of 1876 the constitution of 1870…
To solve this, we analyze each section for a principle of government (e.g., limited government, popular sovereignty, separation of powers, checks and balances, republicanism, fede…
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divide, \\(\\frac{1}{2} \\div \\frac{5}{6} = \\square\\)
$\frac{3}{5}$
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which of the piecewise functions matches this graph? $f(x)=\\begin{case…
The piecewise function that matches the graph is \( \boldsymbol{f(x) = \begin{cases} x + 5 & \text{if } x < 2 \\ -4 & \text{if } x \geq 2 \end{cases}} \) (the second option in the…
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there is an equal protection violation when there is a question of mora…
the law treats certain classes of people differently from others.
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divide. \\(\\frac{1}{3} \\div \\frac{2}{3} = \\square\\)
$\frac{1}{2}$
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solve the following system of inequalities graphically on the set of ax…
\((0, 3)\)
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divide. \\frac{1}{5} \\div \\frac{1}{4} = \\square submit
$\frac{4}{5}$
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which function is best represented by this graph? options: y = \\frac{2…
$y = \frac{2}{3}x - 1$
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calculate: $\frac{4}{5} + left(-\frac{7}{25} ight) = $
$\frac{11}{25}$
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which function is best represented by this graph? options: $y = -3x - 3…
$y = -3x - 3$
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divide. \\frac{2}{5} \\div \\frac{2}{3} = \\square submit
$\frac{3}{5}$
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a part of function g is graphed on a coordinate plane. which inequaliti…
B. Domain: $-3 \leq x < 1$ Range: $-9 < g(x) \leq -1$
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divide. \\(\frac{1}{2} div \frac{2}{3} = square\\) submit
$\frac{3}{4}$
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10. graph: $y = \\frac{1}{2}x - 3$
The graph of \( y = \frac{1}{2}x-3 \) is a straight line with a y - intercept at \( (0,-3) \) and a slope of \( \frac{1}{2} \), passing through points like \( (2,-2) \) and \( (-2…
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3\\frac{1}{8} + 6\\frac{3}{8} =
\(9\frac{1}{2}\) (or \(\frac{19}{2}\))
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8\\frac{16}{18} + 5\\frac{12}{18} =
\(14\frac{5}{9}\)
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divide. \\(\\frac{2}{9} \\div \\frac{1}{2} = \\square\\)
$\frac{4}{9}$
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divide. \\frac{3}{8} \\div \\frac{1}{2} = \\square submit
$\frac{3}{4}$
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divide. \\(\frac{1}{2} div \frac{3}{5} = square\\) submit
$\frac{5}{6}$
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4\\frac{4}{6} + 7\\frac{5}{6} =
\(12\frac{1}{2}\) (or \(\frac{25}{2}\))
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which is true about the solution to the system of inequalities shown? y…
There are no solutions. (The option corresponding to "There are no solutions" among the given options)
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write an equation in slope-intercept form from the points (0, 3) and (-…
A. $y = x + 3$
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5\\frac{2}{3} + 5\\frac{2}{3} =
\( 11\frac{1}{3} \)
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write an equation in slope-intercept form from the points (0, 3) and (-…
A. $y = x + 3$
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part c if \\( \\ln(x) = 3.35 \\), what is the value of \\( x \\)? expre…
$29$
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solving for an exponent logarithmic functions can be used to solve an e…
0.705
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1/14 - show solution/reason. (5 pts) arwen studies the two functions sh…
The graph of \( g(x) \) is the graph of \( f(x) \) shifted 5 units up. (Corresponding to the option: "The graph of \( g(x) \) is the graph of \( f(x) \) shifted 5 units up.")
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(8 + 4) + 7 =
19
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calculate the result of the following set of operations: $3 \\times 1 +…
4
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through: (-2, 3) and (0, 2) write the linear equation in y = mx + b for…
C. $y = -1/2x + 2$
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federalists and anti - federalists what was the federalists position on…
B. They thought it was unnecessary because the Constitution would already limit government powers. (Note: Assuming the second option is labeled B; adjust the identifier if the ori…
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36. graph the equation that has a slope of \\(\\frac{1}{2}\\) & y-inter…
The equation of the line is $y=\frac{1}{2}x-3$. To graph it, plot $(0, - 3)$ (y - intercept) and use the slope $\frac{1}{2}$ to find other points (e.g., $(2,-2)$) and draw a strai…
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which function is best represented by this graph? y = \\frac{1}{2}x + 3…
$\boldsymbol{y = -\frac{1}{2}x + 3}$
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what is the vertex of the following function? y=-4x²+3
$(0, 3)$
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match the graph with its function y=2x²
C. <The graph labeled C, a narrow upward-opening parabola with vertex at (0,0)>
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find the graph of this system of linear inequalities. \\(\\begin{cases}…
The second graph (the one with the purple region above both the blue line \( y = -\frac{3}{2}x - 2 \) and the red line \( y = 2x - 3 \))
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33. make a table and graph the equation with 3 ordered pairs 5y = -2x +…
s: 33. Table: | \(x\) | \(y\) | |-------|-------| | \(0\) | \(1\) | | \(5\) | \(-1\) | | \(-5\) | \(3\) | Graph: Line through \((0, 1)\), \((5, -1)\), \((-5, 3)\). 34. Graph: Vert…
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(1-2)+4²·3=
$47$
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1. can you explain the executive order that affected japanese americans…
A. Internment of Japanese Americans ### Question 3
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y = -\\frac{1}{3}x + 100 thats correct! the equation for the slope of t…
90
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the given figure shows a transformation of the graph of $f(x)=|x|$ writ…
If we assume the vertex of the transformed graph is at \((-3,2)\) (for illustration, depending on the actual graph), the equation is \( y = |x + 3|+2 \) (the answer may vary depen…
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2. describe the characteristics of the function’s graph when x is betwe…
When $x$ is between -2 and 0, the graph is a straight, upward-sloping (increasing) line segment. As $x$ increases from -2 to 0, the function's output increases from 0 to 5, with a…
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13 $5\\frac{3}{4} + 2\\frac{5}{8}$
\(8\frac{3}{8}\) (or \(\frac{67}{8}\))
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use the slope to find the equation of the line. choose your answer on t…
79
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27. use the vertical line test to determine whether each relation is a …
Yes. Explanation: No vertical line intersects the graph more than once (passes Vertical Line Test). #### Part b
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) of the system is $\boldsymbol{(-8, 2)}$ To graph: 1. For $y=\frac{1}{2}x+6$, plot $(-12, 0)$ and $(0, 6)$, then draw the line through them. 2. Fo…
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10 $-\frac{5}{6} + \frac{1}{3}$
$-\frac{1}{2}$