Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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begin by graphing the square root function, ( f(x) = sqrt{x} ). then, u…
The correct graph is the first option (topmost graph, starting at $(-1,0)$ and decreasing downward to the right).
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begin by graphing the square root function, f(x)=\\sqrt{x}. then, use t…
The correct graph is the top-most option (starting at (-6, 0), curving downward into the fourth quadrant, with y-values negative for all valid x ≥ -6).
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how did populists want the government to handle currency in the late 18…
B. Populists wanted the government to make unlimited silver coins.
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divide the following by using short division. use multiplication to che…
B. The quotient is 604 with no remainder.
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divide the following by using short division. use multiplication to che…
A. The quotient is \(\boldsymbol{17}\) with no remainder.
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the function ( f ) is given by ( f(\theta) = sin \theta ). describe the…
All values of the domain (where \( f(\theta)=\cos\theta = 1 \)) are \( \theta = 2k\pi \), for any integer \( k \) (or \( \theta=2k\pi,k\in\mathbb{Z} \)) ### Question 15
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16. write an equation of the line that passes through the point (-4, -1…
$y = -3x -25$
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choose the word that best completes the sentence. after the 6.0 earthqu…
very
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what is the slope of this line? simplify your answer and write it as a …
$\frac{-2}{3}$
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simplify your answer and write it as a proper fraction, improper fracti…
$-\frac{2}{3}$
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what is the slope of this line? simplify your answer and write it as a …
$-5$
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evaluate. write your answer as a decimal or whole number. $(0.06)^2 = \…
0.0036
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evaluate. write your answer as a decimal or whole number. (0.67)² = sub…
0.4489
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simplify: 5 + 5 x 0 + 2 * 2 7 20 25 cant simplify there are two points …
1. 7 2. 10
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evaluate. write your answer as a decimal or whole number.\\((0.19)^3 = …
0.006859
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homogamy refers to: stable marriage - like relationships between member…
O the tendency to choose a spouse with a similar social and cultural background.
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in exercises 67–70, find ( f(x) ). 67. ( f(x) = int_{1}^{x} \frac{1}{t}…
67. $F'(x)=\frac{1}{x}$ 68. $F'(x)=\tan x$ 69. $F'(x)=\frac{1}{x}$ 70. $F'(x)=\frac{2}{x}$
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perform the operation and reduce the answer fully. make sure to express…
$-\frac{5}{9}$
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multiply and divide fractions (pos and neg) score: 0/2 penalty: none qu…
$-\frac{5}{54}$
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find the zeros of the function $f(x) = x^2 - 8.1x + 12.2$. round values…
The zeros of the function are \( x = 2 \) and \( x=6.1 \) (since the problem has an option to "Add a Zero" and we found two zeros, we can list them. If we need to put one in the b…
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use the aleks calculator to write \\(\\frac{28}{23}\\) as a decimal rou…
1.2
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find the zeros of the function $f(x) = 1.7x^2 - 6.5x + 2$. round values…
The zeros are approximately \( x \approx 0.337 \) and \( x \approx 3.486 \)
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multiply and divide fractions (positive) l2 this is the only question i…
$\frac{5}{6}$
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write \\(\frac{57}{25}\\) as a decimal.
\(2.28\)
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write $10\\frac{3}{4}$ as a decimal. $10\\frac{3}{4}=\\square$
10.75
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multiply and divide fractions (positive) l2 this is the only question i…
$\frac{4}{5}$
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multiply and divide fractions (positive) l2 this is the only question i…
$\frac{25}{8}$ or $3\frac{1}{8}$
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find the zeros of the function $f(x) = 1.6x^2 - 8.3x + 4$. round values…
The zeros of the function \( f(x) = 1.6x^2 - 8.3x + 4 \) are \( x \approx 4.65 \) and \( x \approx 0.538 \). So we need to add these zeros. The zeros are \( \boxed{4.65} \) and \(…
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simplify the following fraction: \\(\\frac{14}{72}\\)
\(\frac{7}{36}\)
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find the roots and the vertex of the quadratic on a calculator. round a…
Roots: \(7\) and \(-13\) Vertex: \((-3, -100)\)
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find the roots and the vertex of the quadratic on a calculator. round a…
Roots: \(1\) and \(11\) Vertex: \((6, 25)\)
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2025-2026 nc math 4 initial credit (approved for wmhs spr 26) compositi…
$C(t) = 8\pi t$
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are the compositions of $f(x)=1$ and $g(x)=2$ commutative? why or why n…
A. They are not commutative, because $f(g(x))$ and $g(f(x))$ are not equal.
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find the roots and the vertex of the quadratic on a calculator. round a…
Roots: \(-12.495\) and \(5.495\) Vertex: \((-3.5,242.75)\)
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find the roots and the vertex of the quadratic on a calculator. round a…
Roots: \(17\) and \(-5\) Vertex: \((6, - 121)\)
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find the roots and the vertex of the quadratic on a calculator. round a…
Roots: \(-6\) and \(-14\) Vertex: \((-10,-16)\)
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question state the domain and range of the function represented by the …
Domain of function: All real numbers (or \((-\infty,\infty)\)) Range of function: \(y > 1\) (or \((1,\infty)\)) The function is invertible because it passes the horizontal line te…
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find $f(4) + 4f^{-1}(-7)$.\ \ | $x$ | $f(x)$ |\ | --- | --- |\ | 9 | $-…
\( 45 \)
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Question was provided via image upload.
### Part a: Determine \(a\), \(b\), \(c\), \(d\) Assume the parent function \(f(x)\) is a rational function (e.g., \(f(x)=\frac{1}{x}\)) with a horizontal asymptote at \(y = 0\) a…
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slope-intercept form - item 35342 sandy planted a tree and wanted to re…
In the scenario, the slope represents the annual growth rate of the tree, $\frac{1}{2}$ inch per year. In the scenario, the y-intercept represents the initial height of the tree, …
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cms 2025 - 2026 nc math 4 initial credit (approved for wmhs spr 26) com…
$g(x)=\frac{2}{3}x$
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find the minimum value of the function $f(x) = x^2 - 4x - 1.2$ to the n…
\( -5.20 \)
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find the minimum value of the function $f(x) = 2x^2 - 11x + 22.4$ to th…
\( 7.28 \)
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decomposing composite functions two functions represent the composite f…
$a = -1$ $b = 10$
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find the maximum value of the function $f(x) = -1.3x^2 + 18.4x - 58$ to…
\( 7.12 \)
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composition of functions and modeling decomposing composite functions t…
$\frac{2}{\sqrt{x}}$ (the second option)
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find the minimum value of the function $f(x) = 1.4x^2 - 7.3x + 3$ to th…
\(-6.52\)
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(d) graph $f(x)=(x + 1)(x - 1)(x - 3)$ by doing the following. - plot a…
1. Intercept points to plot: - x-intercepts: $(-1, 0)$, $(1, 0)$, $(3, 0)$ - y-intercept: $(0, 3)$ 2. Behavior at each x-intercept: The graph **crosses the x-axis** at $(-1,0)$, $…
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cms 2025 - 2026 nc math 4 initial credit composition of functions and m…
1. $f(g(0)) = 5$ and $g(f(-2.5)) = 5$ 2. $f(g(x)) = g(f(x))$ for at least one value of $x$ 3. Both $f(g(x))$ and $g(f(x))$ have the same maximum value (Note: A fourth correct stat…
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29. find the area of the shaded portion of this trapezoid. dimensions a…
78 square feet --- ### Problem 30 (Find $x$ and $y$)
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question 3 of 4 (1 point) | question attempt: 3 of unlimited $f(x)=(x +…
(a) Falls to the left and rises to the right (b) Zero(s) where the graph crosses the x-axis: $-1, 1, 3$ Zero(s) where the graph touches, but does not cross the x-axis: None (c) y-…
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consider the following polynomial function. $f(x)=(x + 1)(x - 1)(x - 3)…
Falls to the left and rises to the right
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2. solve each problem in two different ways as modeled in the example. …
a. $12$ b. $16$ c. $44$ d. $42$ e. $15$
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student anh ngo is assigned to develop an essay topic related to slaver…
- She could make two lists about reparations, one list of things she knows, and another list of things she wonders about. - She could write "Slavery reparations" in the middle of …
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1. rewrite the following expressions as shown in the example: example: …
1. a. $5$ b. $\frac{26}{5}$ or $5\frac{1}{5}$ c. $\frac{27}{4}$ or $6\frac{3}{4}$ 2. a. $12$ b. $16$ c. $44$ d. $42$ e. $15$
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space on the shop floor, bins, carts, or racks are capacity-limiting re…
Delays
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which point of view is able to reveal the thoughts and feelings of all …
3rd person, omniscient
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example: $\frac{2}{3} + \frac{2}{3} + \frac{2}{3} + \frac{2}{3} = \frac…
a. $5$ b. $\frac{26}{5}$ c. $\frac{27}{4}$
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graph the parabola. y = -x² plot five points on the parabola: the verte…
The five points are the vertex \((0,0)\), two points to the left \((-1, -1)\), \((-2, -4)\) and two points to the right \((1, -1)\), \((2, -4)\). To graph the parabola, plot these…
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question 2 10 pts you are standing at the front doors on the first day …
Second person
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which is the slope of the line that passes through the points (-2, 4) a…
slope \( =-\frac{5}{7} \) (the option with this value)
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evaluate. \\( 3\\cdot(7 - 4)^{3} \\)
\(81\)
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answer attempt 2 out of 3 the function is increasing on the interval -9…
The function is increasing on the interval $-9 < x < -4$ (segment 1), decreasing on the interval $-4 < x < 1$ (segment 2), and increasing on the interval $1 < x < 5$ (segment 3).
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1.3 solving piecewise functions cw due: february 4 at 8:00 am grade: 25…
The function is **increasing** on the interval \(-7 < x < -2\) (segment 1), **decreasing** on the interval \(-2 < x < 3\) (segment 2), and **increasing** on the interval \(3 < x <…
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which is the slope of the line that passes through the points (3, 5) an…
slope \( = \frac{2}{5} \) (the option with slope \( = \frac{2}{5} \))
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which of the following is the graph of this quadratic function? y = -3x…
The second graph (the one with x - intercepts around \( x=-2 \) and \( x = 0 \), vertex at \( x=-1 \), y - intercept at \( y = 2 \) and opening downward)
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which of the following is the graph of this quadratic function? $y = \\…
The first graph (the one with vertex at (4, - 3) and y - intercept at (0,1))
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the function ( f ) is graphed below. determine the intervals on which (…
- Increasing interval: $(1, \infty)$ - Decreasing interval: $(-\infty, 1)$
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which of the following is the graph of this quadratic function? y = 3x²…
The middle graph (the second graph among the three given graphs) is the graph of the quadratic function \(y = 3x^2+6x - 2\)
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day 1 - please show all of your work! you might need to do it on anothe…
### Computation: 1. $456.9 - 58.3 = 398.6$ 2. $78 \times 125 = 9750$ 3. $67.8 \times 2.5 = 169.5$ ### Fractions / Decimals: 1. $\frac{1}{8}, 0.135, \frac{1}{3}, 0.42, \frac{3}{4}$…
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composition of functions and modeling analyzing composition of function…
The correct statements are: 1. For $f(x)=4x$, $g(x)=x^2$: so function composition is not commutative 2. For $f(x)=2x-5$, $g(x)=0.5x-2.5$: so function composition is commutative 3.…
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5. $x - y = 5$ $-3x + y = -1$
The solution to the system of equations is \(x=-2,y = - 7\)
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how many solutions are there to the system of equations?\\\\begin{cases…
no solutions
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question find the coordinates of the vertex of the following parabola a…
$(0, -8)$
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which function rule matches the table? $f(x)=3 - x^3$ $f(x)=9 - 5x$ $f(…
\( f(x)=3 - x^{2} \)
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3. consider the graph of g, shown below. a. state the intervals on whic…
a. $(-2, 0)$ and $(2, \infty)$ b. $(-\infty, -2)$ and $(0, 2)$ c. $(-2, -1)$ and $(2, 0)$ d. $(0, 2)$ e. $(-\infty, -1)$ and $(1, \infty)$ f. $(-1, 1)$ g. $(-1, 0)$ and $(1, 1)$
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evaluate the definite integral.\\(\\int_{1}^{6} 2 \\, dx = \\square\\)
\( 10 \)
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how many solutions are there to the system of equations ( y = \frac{2}{…
There are 0 solutions. The two lines have identical slopes ($\frac{2}{3}$) but different y-intercepts, so they are parallel and never cross, resulting in no common solution points.
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(int left( \frac{3x^3 - 4x - 2}{x^3} ight) dx = square + c)
\(3x+\frac{4}{x}+\frac{1}{x^{2}}+C\)
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2. you are given the graph of $y = -\frac{1}{3}x - 6$ and $y = \frac{1}…
There is 1 solution to this system. Wait, correction: No, visually the lines do not intersect, so 0 solutions. Wait, let's check algebraically: Set $-\frac{1}{3}x -6 = \frac{1}{5}…
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int t^{4} dt = square + c
$\frac{t^5}{5}$
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describing composite functions the volume, in cubic feet, of a right cy…
- The domain of $V(h(r))$ is restricted to values of $r$ greater than 0. - $V(h(r)) = 3.5\pi r^3$ Wait, but the problem says "choose three"—wait, no, I must have misread. Wait, is…
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lena wants to tile her kitchen floor, which has an area of 131 square f…
27 packs of tiles
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y = -x² - 1 which statement is true about the function? ○ when x is neg…
\(y\lt0\) for all values of \(x\)
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solve for x \\(\\int_{te}^{x} \\frac{adx}{m} + \\int_{0}^{\\theta} a^2 …
$x = am\theta + te$
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which unit of measure is most appropriate for measuring the area of a d…
A. square centimeters
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6. the graph shows part of an exponential function. find the domain and…
Domain: $[-2, 4]$, Range: $[10, 70]$
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integrate.\\(int left( \frac{2}{x} - 4e^x ight) dx = ?\\)\\(\\text{choo…
D. \(2\ln|x| - 4e^{x}+C\)
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solve. \\(1 \\dfrac{4}{5} + \\dfrac{1}{3} = \\underline{\\quad\\quad}\\)
\(2\frac{2}{15}\) (or \(\frac{32}{15}\))
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2. write the equation of the function g(x), in terms of x, given the in…
\( g(x)=-\sqrt{x + 2}+1 \)
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integrate.\\(\\int 18\\cos(x) dx\\)\\(=\\square + c\\)
$18\sin(x)$
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int (7x^{6} + 7x^{3} + 4) dx = \boxed{} + c
\(x^{7}+\frac{7x^{4}}{4}+4x\)
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express the function graphed on the axes below as a piecewise function.…
\[ f(x) = \begin{cases} -\dfrac{5}{4}x - \dfrac{17}{4} & \text{for } -5 < x \leq -1 \\ -\dfrac{4}{5}x - \dfrac{9}{5} & \text{for } -1 < x < 4 \end{cases} \]
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$\\int x^{\\frac{1}{4}} dx = \\square + c$
$\frac{4}{5}x^{\frac{5}{4}}$
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find the average rate of change of $f(x)=3x^2 + 2$ from $x = 2$ to $x =…
18
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composition of functions and modeling (there is a coordinate system wit…
- Graph A represents $p(q(x))$ - The composition of functions $p$ and $q$ is not commutative
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express the function graphed on the axes below as a piecewise function.
$f(x) = \begin{cases} -\dfrac{1}{3}x - \dfrac{7}{3} & \text{for } x < -1 \\ 3x + 1 & \text{for } x \ge -1 \end{cases}$
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express the function graphed on the axes below as a piecewise function.
\(f(x)=\begin{cases}-6x - 30& \text{for }x\lt - 4\\-x& \text{for }x\gt5\end{cases}\)
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3x + 1/2y = -3
3
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check here for instructional material to complete this problem. perform…
\(343\)