Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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question 3 5 pts which category accounts for about 35% of the credit sc…
C. Payment History ### Question 4
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select two functions with the same end behaviors of $f(x) = (x - 1)^{\f…
1. $f(x)=(x-1)^3+2$ 2. $f(x)=\sqrt[3]{x+5}-7$
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given the two functions, which statement is true? $f(x)=\\sqrt{x + 1}+6…
B. The y-intercept of $f(x)$ is greater than the y-intercept of $g(x)$.
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the graph of $p(x)=\\frac{1}{3}\\sqrt3{x}-1$ has - a one x-intercept an…
A. one x-intercept and one y-intercept
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multiply. $6 \\times \\frac{3}{100}$ what is the product? a. $\\frac{18…
C. $\frac{18}{100}$
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the slope m can be calculated as the ______ in y divided by the change …
change
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if $y = 3x + 5$ and $x = 2$, what is $y$? a. 6 b. 10 c. 11 d. 5
c. 11
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question 4 (5 points) for the functions ( f(x) = 3x - 8 ) and ( g(x) = …
\( 8x - 13 \) ### Part b: \( 3g(x) - f(x) \)
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a line has a slope of $-2$ and passes through the point $(3,5)$. which …
b. $y = -2x + 11$
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10. open - ended complete the subtraction problem so that you do not ne…
10. Missing digit: 5; Difference: 202 11. No, he is not correct. The correct result of $731-246$ is 485. The cousin made an error in regrouping the tens and hundreds places incorr…
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find all the roots (integral, rational, and/or complex) of the polynomi…
A. (2, -2, -4, 3) --- ### Second Question: Lowest degree polynomial with roots 5, $2-3i$
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y = 2x - 4 x | y -1 | 0 | 1 | 2 |
When \( x = -1 \), \( y = -6 \); when \( x = 0 \), \( y = -4 \); when \( x = 1 \), \( y = -2 \); when \( x = 2 \), \( y = 0 \) Filling the table: | \( x \) | \( y \) | | ---- | --…
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7. \\(\\begin{cases} x - 2y = -4 \\\\ 3x - 2y = 12 \\end{cases}\\) chec…
\(x = 8,y = 6\) or the solution is \((8,6)\) ### Problem 8: Solve the system \(\begin{cases}2x + 3y=24\\-4x-6y=-48\end{cases}\)
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
The key points are \((0,3)\), \((1,0)\), \((2,-1)\), \((3,0)\), \((5,8)\). Plot these points on a coordinate plane with x - axis as "x - value" and y - axis as "y - value" and dra…
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question 1-3 if $f\\left(x\ ight)=\\dfrac{3x + 4}{2}$, then what is the…
8 (corresponding to the option with 8)
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
The graph is a parabola opening upward with x - intercepts at \((1, 0)\) and \((3, 0)\), vertex (minimum) at \((2, -1)\), and additional points \((0, 3)\) and \((5, 8)\) plotted o…
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
The key points are: x - intercepts \((1,0)\), \((3,0)\); vertex \((2,-1)\); other points \((0,3)\), \((5,8)\). The graph is a parabola opening upward passing through these points …
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
The key points are \((1,0)\), \((3,0)\), \((2,-1)\), \((0,3)\), \((5,8)\) and the graph is a parabola opening upward passing through these points within the interval \(0\leq x\leq…
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
The key points are \((0,3)\), \((1,0)\), \((2,-1)\), \((3,0)\), \((5,8)\). The graph is a parabola opening upward passing through these points in the interval \(0\leq x\leq5\).
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
- x - intercepts: \((1,0)\), \((3,0)\) - Minimum point (vertex): \((2,-1)\) - Other points: \((0,3)\), \((5,8)\) (and the parabola is drawn through these points with x - axis labe…
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graph the solution to the following system of inequalities. y < -3x + 4…
The solution is the region that is below the dashed line \( y=-3x + 4\) and above the solid line \( y = 3x - 2\), with the intersection point of the two lines at \((1,1)\). When g…
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graph the solution to the following system of inequalities. y < -3x + 4…
The solution is the region that is above the solid line \( y = 3x - 2\), below the dashed line \( y=-3x + 4\), and includes the intersection point \((1,1)\) (and the line \( y = 3…
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question: consider the function $y = 2\\sin(x)$ for $0^{\\circ} \\leq x…
The key points for the graph of \( y = 2\sin(x) \) in the interval \( 0^\circ\leq x\leq360^\circ \) are \( (0^\circ, 0) \), \( (90^\circ, 2) \), \( (180^\circ, 0) \), \( (270^\cir…
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sketch the graph of the quadratic function $h(x) = 3x^2 - 12x + 9$ on t…
- Direction of opening: Upward - Axis of symmetry: \( x = 2 \) - Vertex: \( (2,-3) \) - x - intercepts: \( (1,0) \), \( (3,0) \) - y - intercept: \( (0,9) \) - Other points: \( (4…
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graph the solution to the following system of inequalities. $y < -3x + …
The solution is the region that is below the dashed line \( y=-3x + 4 \) and above the solid line \( y = 3x - 2 \), with the intersection point of the two lines at \( (1,1) \). Th…
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graph the solution to the following system of inequalities. y < -3x + 4…
The solution is the region that is below the dashed line \( y=-3x + 4 \) and above the solid line \( y = 3x-2 \), with the intersection point at \((1,1)\). (To graph it, follow th…
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is the c - value of this quadratic positive or negative? unknown at thi…
positive
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graph the system on a separate sheet of paper and determine the number …
D) 1 solution; \((-1, -2)\)
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question: consider the function $y = 2\\sin(x)$ for $0^\\circ \\leq x \…
The key points for the graph of \( y = 2\sin(x) \) in the interval \( 0^\circ\leq x\leq360^\circ \) are \( (0^\circ, 0) \), \( (90^\circ, 2) \), \( (180^\circ, 0) \), \( (270^\cir…
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4. for the graph of g(x) pictured on the right, over which of the follo…
3. \( - 2<x < 6\)
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1. evaluate the expression ( x^2 + 2x - 10 ) for ( x = -3 ) 2. evaluate…
2) \( -8 < x < -2 \)
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graph the solution to the following system of inequalities. $y\\leq -3x…
1. Draw a solid line through $(0,4)$ and $(\frac{4}{3},0)$, shade below it. 2. Draw a dashed line through $(0,-3)$ and $(\frac{3}{2},0)$, shade above it. 3. The overlapping shaded…
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4. write an equation for an exponential growth model with an initial va…
A possible exponential growth model equation is \( y = 5(1 + r)^t \) (or \( y = 5b^t, b>1 \), or \( y = 5e^{kt}, k>0 \)). A specific example (taking \( r = 0.1\) for illustration,…
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2. find the average rate of change from x = -1 to x = 1.
\( -1.5 \) (or \( -\frac{3}{2} \))
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q2 week 8 1. identify each. function family: domain: range: asymptote:
- Function Family: Exponential (Decay) Function Family - Domain: \(x>-2\) (or \((-2,\infty)\)) - Range: \(y > 2\) (or \((2,\infty)\)) - Asymptote: \(y = 2\)
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write the limit as a definite integral on the interval a, b, where ( c_…
$\int_{-7}^{3} (7x + 13) dx$
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use sigma notation to write the sum. \\(\\frac{1}{6(1)} + \\frac{1}{6(2…
$$\sum_{i=1}^{20} \frac{1}{6i}$$
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the function h is defined as follows. ( h(x) = 4x^2 + 7 ) if the graph …
\( f(x)=4x^{2}-2 \)
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find the sum by adding each term together. use the summation capabiliti…
0.2166
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the function h is defined as follows. ( h(x) = -4x^2 - 1 ) if the graph…
\( f(x)=-4x^{2}+2 \)
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the function f is defined as follows. $f(x) = -3x^2 + 3$ if the graph o…
\( g(x)=-3x^{2}+6 \)
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finding slope #1 (graphing method) graph the points and find slope usin…
\(\frac{1}{4}\) ### Problem 2:
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add: -4 + -23 + 98 + 65 = \\boxed{}
136
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add: 13 + -9 + -40 = submit
$-36$
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add: -31 + 12 + 50 + -29 =
2
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add: -2 + 5 + -82 + 39 + -67 = \\boxed{}
$-107$
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add: -16 + -12 + -10 = \\square
-38
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y = -4x y = 3x + 28
The solution is \( x = -4 \), \( y = 16 \)
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y = -x\ y = -5x + 40
The solution is \( x = 10 \), \( y = -10 \)
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y = -5x - 40 y = 5x
The solution to the system is \( x = -4 \), \( y = -20 \) (or the ordered pair \((-4, -20)\))
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a line has a slope of -2 and passes through the point (-3, 6). write it…
$y=-2x + 2$
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1. if $g(x) = -2x^2 + 16$, then $g(-3)$ equals (1) $-20$ \t\t\t(3) $34$…
(2) \(-2\) ### Question 2
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write \\(\frac{7}{100}\\) as a decimal.
0.07
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divide. 45.7÷100
0.457
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divide. 4.56 ÷ 10
0.456
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divide. 39.9 ÷ 1000
0.0399
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a ball is launched from a sling shot. its height, h(x), can be represen…
$h(x) = -10x^2 + 120x$
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find the slope of the line passing through the points (-3, 3) and (5, 9…
$\frac{3}{4}$
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4. $y = -3x + 1$ $y = x - 7$ (2,-1)
The solution is $(2, -5)$
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¿cuál es el valor de? $\\log_{6} \\frac{1}{36}$? options: 2, -6, -2, 6
# Explicación: ## Paso 1: Escribir el logaritmo como ecuación Sea $x = \log_{6} \frac{1}{36}$. Por definición de logaritmo, esto se convierte en: $$6^x = \frac{1}{36}$$ ## Paso 2:…
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1.92)1.152
0.6
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8. jennifer had $3\\frac{3}{4}$ lbs of tomatoes. she used $\\frac{1}{3}…
\( 1\frac{1}{4} \) (or \( \frac{5}{4} \)) pounds
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m(x) = 3(2)^x + 4, g(x) = 2(3)^x + 4, h(x) = 3(3)^x + 2, k(x) = 4(3)^x …
Top-left graph: $\boldsymbol{m(x)=3(2)^x + 4}$ Top-right graph: $\boldsymbol{g(x)=2(3)^x + 4}$ Bottom-left graph: $\boldsymbol{h(x)=3(3)^x + 2}$ Bottom-right graph: $\boldsymbol{k…
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6. simplify if necessary. $4\\frac{1}{2} \\times 1\\frac{3}{5}$ type a …
\(7\frac{1}{5}\) (or \(\frac{36}{5}\) or \(7.2\))
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5. simplify if necessary. 1\\frac{3}{4} \\times 2\\frac{1}{5} type a re…
\(3\frac{17}{20}\)
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4. simplify if necessary. $1\\frac{1}{3} \\times 2\\frac{3}{4}$ type a …
\(3\frac{2}{3}\) (or \(\frac{11}{3}\))
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what is the amplitude of this function $f(x)$? $f(x) = 3cos(2x) + 5$ en…
3
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complete the table for the function $y = 5^x$. | $x$ | $y$ | | --- | --…
### Completed Table: | $x$ | $y$ | |-----|-----| | -1 | $\frac{1}{5}$ or $0.2$ | | 0 | $1$ | | 1 | $5$ | | 2 | $25$ | ### Graph Points: Plot the points $(0, 1)$ and $(1, 5)$ on th…
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1. simplify if necessary. \\frac{2}{3} \\times 1\\frac{3}{4} type a res…
\(\frac{7}{6}\) (or \(1\frac{1}{6}\))
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what is the minimum value for the function shown in the graph? enter yo…
-5.5
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a line that includes the point (6, 7) has a slope of 2. what is its equ…
\(y - 7 = 2(x - 6)\)
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does the text contain a vague pronoun reference? at lunchtime, ron can …
no
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problem: will the ball clear the crossbar of the goal post, which is 10…
When $x=40$, the ball's height is 0 feet. The ball will NOT clear the 10-foot crossbar.
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use the graph of g to solve exercises 71 - 76. 71. find g(-4). 72. find…
To solve these problems, we analyze the graphs of the functions to determine the required values. Let's take a few examples: ### Problem 71: Find \( g(-4) \) - **Step 1**: Locate …
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show your work from desmos the linear model $f = 17.74m + 402$ represen…
A. 704 flowers
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16) 3.649 + 12.3v = 146.329
\(v = 11.6\)
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select the correct answer from each drop - down menu. what are some of …
absolute restriction
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use the following function rule to find f(-4). f(x) = -2|x| f(-4) = \\b…
$-8$
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use the following function rule to find f(-5). f(x) = 3|x| f(-5) = \\bo…
15
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use the following function rule to find f(3). f(x) = 5 + 9x f(3) = \\bo…
32
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find the missing number. 5. ________ + 3.485 = 7.02 6. 12.6 - ________ …
\( 3.535 \) ### Problem 6
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simplifying fractions score: 1/3 penalty: 1 off question simplify the f…
\(\frac{7}{12}\)
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2-digit by 2-digit multiplication on a grid (a) name: ______________ da…
1. $60 \times 17 = 1020$ 2. $62 \times 56 = 3472$ 3. $58 \times 46 = 2668$ 4. $50 \times 17 = 850$ 5. $59 \times 27 = 1593$ 6. $60 \times 42 = 2520$ 7. $42 \times 59 = 2478$ 8. $5…
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22. why did many european explorers rely on fleets rather than individu…
d. To ensure safety with shared resources and support
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tahmar knows the formula for simple interest is $i = prt$, where $i$ re…
80
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part a. decimal lengths (multi - step) add or subtract the lengths. som…
\(0.67\)
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task 3: we are going to graph the following function without a table $y…
The starting value of the function is \(-8\). ### f)
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0.58)0.5568 ÷ 0
\(0.96\)
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dividing decimals (a) find each quotient. $0.58 \\overline{)0.5568}$ $0…
\(0.96\) ### 2. \(0.2\enclose{longdiv}{0.12}\)
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sara wants to find the input value that produces the same output for th…
2
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11. evaluate the expression for f(3) f(x) = 2x + 3 a -7 b 7 c 9 d 8
C. 9
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25. what type of company was the virginia company? a. limited liability…
b. Joint - stock company
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the formula for the slant height of a cone is $l = \\frac{s - \\pi r^2}…
\( 275 \)
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james madison, one of the founders of the united states, wrote about th…
A. State governments made trade laws that caused resentment among states
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1.3 homework - transformations for each - a) identify the parent functi…
1. Parent: $f(x)=x^2$ Function: $g(x)=-3x^2-3$ 2. Parent: $f(x)=|x|$ Function: $g(x)=-|x|+2$ 3. Parent: $f(x)=x^3$ Function: $g(x)=(x-2)^3+1$ 4. Parent: $f(x)=|x|$ Function: $g(x)…
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declares acts of congress unconstitutional removes federal judges from …
- removing a federal judge for bad behavior - voting not to approve a president’s nominee for a federal office - overriding a presidential veto
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learn with an example this is the graph of a linear inequality. write t…
$y > -x + 4$
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this is the graph of a linear inequality. write the inequality in slope…
$y \leq 4x + 4$
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which of the following are examples of limited resources on the part of…
C. time and money
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y = 6x - 10\ y = 3x - 1
The solution is \( x = 3 \), \( y = 8 \).