Algebra
Linear equations, quadratic functions, inequalities, and transformations.
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what is the y-intercept of the function? $f(x) = 3x^2 + 5x + 9$ the y-i…
\((0, 9)\)
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determine the quadratic function of the form $f(x)=a(x - h)^2 + k$ whos…
\(f(x)=-2(x + 2)^{2}+8\)
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a new car is purchased for 19900 dollars. the value of the car deprecia…
The value of the car after 8 years will be approximately \(\$10678.34\).
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a new car is purchased for 16600 dollars. the value of the car deprecia…
The value of the car after 8 years will be approximately $\$7689.12$.
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identify the vertex, axis of symmetry, and direction of the graph of ea…
A. The graph has the same width as \(f(x)=x^2\)
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identify the vertex, axis of symmetry, and direction of the graph of ea…
upward
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identify the vertex, axis of symmetry, and direction of the graph of ea…
\((5, -4)\)
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identify the vertex and the axis of symmetry for the function.\\( g(x)=…
\((53, 0)\)
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6. once vespucci returned home, he learned that ______ ______ ______ ha…
Once Vespucci returned home, he learned that **Ferdinand Magellan** had sailed around the **Strait of Magellan** (the southern most tip of the continent of **South America**) and …
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identify the vertex and the axis of symmetry for the function f(x) = x²…
\((0, 8)\)
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identify the vertex and the axis of symmetry for the function $f(x)=x^2…
The vertex of the function is \((0, - 9)\) and the axis of symmetry is \( x = 0 \). For the vertex (as asked in the box), the answer is \((0, - 9)\)
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express the following fraction in simplest form, only using positive ex…
$\frac{-2}{y^7}$
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express the following fraction in simplest form, only using positive ex…
$-\frac{1}{r^4}$
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e following fraction in simplest form, only using ponents. \\frac{-5(r^…
$-r^{-4}$
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which of the following is a type of authoritarian government? represent…
D. Absolute monarchy
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warm up recall your knowledge from previous lessons. use words to descr…
The quadratic parent function \( f(x)=x^{2} \) undergoes a horizontal shift (translation) 1 unit to the right to get the function \( f(x)=(x - 1)^{2} \).
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april took out a $600 loan from the bank. at the end of 5 years, she pa…
2
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how does the value of a in the function affect its graph when compared …
A. The graph of \( g(x) \) is narrower B. The graph of \( g(x) \) opens upward
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a line passes through the points (-19, 17) and (17, -19). write its equ…
$y=-x-2$
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i am visiting a market located a in famous street called las ramblas. w…
C. El mercado de Sant Josep de la Boqueria
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if $i = \\sqrt{-1}$, then $i^2 = \\underline{\\quad}$ even powers of $i…
s: - \(i^2=\boldsymbol{-1}\) - Even powers of \(i\): real numbers (either \(1\) or \(-1\)), Odd powers of \(i\): imaginary numbers (either \(i\) or \(-i\)) - Complex number form: …
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mis amigos van de compras. samuel compra zapatos para jugar al fútbol. …
A. He needs to go to the store.
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8. in the opinion of the u.s. leaders, what was the last straw in brita…
A. The British stopped American ships and impressed sailors (impressment)
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a line passes through the points (-3, 2) and (5, -4). write its equatio…
$y = -\frac{3}{4}x - \frac{1}{4}$
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which amendment establishes that electors shall vote by ballot for pres…
D. 12th Amendment
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write an explicit formula for $a_n$, the $n^{\\text{th}}$ term of the s…
\(a_n=18 - 4n\)
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write an explicit formula for ( a_n ), the ( n^{\text{th}} ) term of th…
\(8 \cdot (-5)^{n - 1}\)
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a line passes through the points (-5, 9) and (15, -3). write its equati…
$y=-\frac{3}{5}x+6$
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a line passes through the points (-12, -16) and (2, 12). write its equa…
$y=2x+8$
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tim has pd insurance with a $2500 deductible. he caused damage to a fen…
$\$2500$
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a line passes through the points (-8, -20) and (12, -20). write its equ…
$y=-20$
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a line passes through the points (-1, -14) and (2, 13). write its equat…
$y=9x-5$
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the first three terms of a sequence are given. write your answer as a d…
17
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a line passes through the points (-1, -18) and (3, 18). write its equat…
$y=9x-9$
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chapter 1 review answer the following questions in the spaces provided.…
1. Amerigo Vespucci 2. father (Vincenzo Galilei) 3. Because the lands and people he described did not match the known details of Asia, so his claim of reaching Asia was disbelieve…
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c. 2x² + 15 = -35
If we are considering real - valued solutions, the equation $2x^{2}+15=-35$ has no real solution. If we consider complex - valued solutions, $x = \pm5i$.
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this floor tile tessellation was created because of (1 point) the artis…
A. the artist's understanding of shapes and mathematical patterns
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where they are from, what they are like, and how they are feeli modelo …
1. Mi mejor amigo es de Canadá. Es divertido y generoso. Está emocionado porque vamos a ver un partido de fútbol hoy. 2. Mis padres son de México. Son cariñosos y responsables. Es…
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a line passes through the points (-13, 8) and (7, -4). write its equati…
$y = -\frac{3}{5}x + \frac{1}{5}$
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6) $y = -2x + 2$ $y = -2x - 2$ 8) $y = \\frac{1}{3}x - 3$ $y = -x + 1$
- Line $y=-2x+2$ passes through $(0,2)$ and $(1,0)$, extending across the grid. - Line $y=-2x-2$ passes through $(0,-2)$ and $(1,-4)$, extending across the grid. - The two lines a…
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d. $(x - 3)^2 + 5 = -11$
There is no real solution for the equation \((x - 3)^2+5 = - 11\). If we consider complex numbers, we can solve it as follows: From \((x - 3)^2=-16\), take the square root of both…
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a line passes through the points (-19, -16) and (2, 2). write its equat…
$y=\frac{6}{7}x+\frac{2}{7}$
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evaluate the following functions. 1. find f(1). f(x) = 9x + 1 2. find g…
1. Incomplete problem, cannot solve. 2. $6$ 3. Incomplete problem, cannot solve. 4. $-70k-8$ 5. $-4b+20$ 6. $2y+11$ ### Fill-in-the-blank answers: - A Relation is a set of ordered…
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a line passes through the points (-2, -16) and (4, 20). write its equat…
$y=6x-4$
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you are configuring a new system, and you want to use a raid 0 array fo…
Hardware
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a line passes through the points (-2, -4) and (4, 6). write its equatio…
$y=\frac{5}{3}x-\frac{2}{3}$
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the following passage is about franklin d. roosevelt, who was president…
"In 1936 he won reelection by a landslide."
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b. ( x^2 = -12 )
\(x = \pm2\sqrt{3}i\)
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a line passes through the points (-2, -1) and (6, 1). write its equatio…
$y=\frac{1}{4}x-\frac{1}{2}$
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a line passes through the points (-7, -4) and (7, 0). write its equatio…
$y=\frac{2}{7}x-2$
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1. solve the quadratic equations. a. $x^2 = -16$
\(x = 4i\) or \(x=-4i\)
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working with absolute value - independent practice worksheet complete a…
3 #### (b)
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a line passes through the points (-1, -8) and (1, 6). write its equatio…
$y=7x-1$
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③ samantha has $15,000 worth of property damage liability insurance. sh…
$\$9,700$
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identify the vertex, axis of symmetry, and direction of the graph of ea…
C. The graph is narrower than \(f(x)=x^2\).
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identify the vertex, axis of symmetry, and direction of the graph of ea…
downward
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answer any four (4) questions for full credit! answer all six (6) quest…
The announcer didn’t give the bulletin to the ballerina (as in the story) because the ballerina has a speech - handicapping device which would make her voice unpleasant or hard to…
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② johns annual premium for car insurance is $1,750. if he pays quarterl…
$\$440.50$
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identify the vertex, axis of symmetry, and direction of the graph of ea…
\((6,6)\)
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a line passes through the points (3, 7) and (5, 7). write its equation …
$y=7$
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identify the vertex, axis of symmetry, and direction of the graph of ea…
\((1, -1)\)
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11. (1 - 2i)(3 + 4i)
\(11 - 2i\)
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details no additional details were added for this assignment. assignmen…
$16$
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identify the vertex, axis of symmetry, and direction of the graph of ea…
\((-5,5)\)
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use the imaginary number i to rewrite the expression below as a complex…
\(3 + i\)
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use the imaginary number i to rewrite the expression below as a complex…
\( -i\sqrt{21} \)
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use the imaginary number i to rewrite the expression below as a complex…
\(-4 + \sqrt{2}i\)
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a line passes through the points (-1, 10) and (4, -10). write its equat…
$y=-4x+6$
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details no additional details were added for this assignment. assignmen…
$42$
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use the imaginary number i to rewrite the expression below as a complex…
\(-9 - \sqrt{58}i\)
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a line passes through the points (1, 1) and (2, 7). write its equation …
$y=6x-5$
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identify the vertex and the axis of symmetry for the function.\\( g(x)=…
\((-9, 0)\)
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use the imaginary number i to rewrite the expression below as a complex…
\(12 + 3\sqrt{7}i\)
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benito mussolinis ideology of fascism emphasized what above all? the he…
A. The health and power of the state to be able to address problems
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identify the vertex and the axis of symmetry for the function.\\( g(x)=…
\((61, 0)\)
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mason is a songwriter who collects royalties on his songs whenever they…
Let $c$ = the number of commercials on which Mason's songs were played Let $m$ = the number of movies on which Mason's songs were played System of Equations: $c + m = 9$ $30c + 80…
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use the imaginary number i to rewrite the expression below as a complex…
\(-20 - 2\sqrt{23}i\)
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① jake gets 3 quotes for car insurance from insure - a - lor. monthly p…
1. Total yearly payments: - Monthly payment plan: $\$1020$ - Quarterly payment plan: $\$1000$ - Yearly payment plan: $\$950$ 2. Additional interest (compared to the yearly payment…
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use the imaginary number i to rewrite the expression below as a complex…
\(2i\sqrt{5}\) (or \(2\sqrt{5}i\))
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identify the vertex and the axis of symmetry for the function. $f(x)=x^…
The axis of symmetry of the function is \( x = 0 \)
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use the imaginary number i to rewrite the expression below as a complex…
\(i\sqrt{42}\)
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identify the vertex and the axis of symmetry for the function. f(x)=x² …
\((0, -8)\)
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identify the vertex and the axis of symmetry for the function. $f(x)=x^…
The axis of symmetry of the function is \( x = 0 \)
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identify the vertex and the axis of symmetry for the function.\\( f(x)=…
\((0, 9)\)
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the graph of h is the graph of ( g(x)=(x - 2)^2 + 6 ) translated 5 unit…
### Part a #### Explanation: To determine the translation from \( f(x) = x^2 \) to \( h(x) \), we first analyze the translation from \( f(x) \) to \( g(x) \), then from \( g(x) \)…
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question 9 (1 point) in an economy, the price level (p) increases from …
B. 20% increase; nominal money demand rises proportionally with the price level.
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which of the following nations experienced hyperinflation of their pric…
B. Germany
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the graph of h is the graph of g(x)=(x - 2)² + 6 translated 5 units lef…
s: a. The graph of \( h \) is the graph of \( f(x)=x^2 \) translated \(\boldsymbol{3}\) unit(s) \(\boldsymbol{\text{left}}\) and \(\boldsymbol{3}\) unit(s) \(\boldsymbol{\text{up}…
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use the graph to determine a. the functions domain, b. the functions ra…
a. $(-\infty, \infty)$ b. $(0, \infty)$ c. There is no x-intercept. d. A. The y-intercept is $1$ e. $f(-2) = 4$
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question 8 (1 point) the real money supply ($m^s / p$) in an economy is…
The initial interest rate is 20%, and the new interest rate is 30%. (Corresponding to the option: The initial interest rate is 20%, and the new interest rate is 30%.)
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question 6 (1 point) the real money demand equation is given by: $m / p…
1,000.00
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question 5 (1 point) a policymaker claims: \even if prices are quoted i…
D. Multiple units of account create confusion, undermining the ability to compare prices consistently.
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question 4 (1 point) interest parity in the fx market can be maintained…
B. The domestic central bank adjusts money supply for foreign money supply changes.
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utilizar la recta numérica para restar. 4 - (-3) (a) trazar dos flechas…
7
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a student used the steps shown to graph ( f(x) = (x - 1)^2 + 6 ). descr…
D. The vertex is incorrect. The vertex should be plotted at \((1, 6)\)
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use the imaginary number i to rewrite the expression simplify all radic…
\( 10i \)
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question 3 (1 point) imagine an economy where real national income (y) …
A. Increased income → higher money demand → higher interest rates → money market equilibrium.
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use the imaginary number i to rewrite the expression below as a com sim…
\( 5i \)
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question 2 (1 point) imagine that the european central bank raises the …
C. The dollar depreciates against the euro, as the return on euro deposits increases relative to dollar deposits.
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how can you determine the values of h and k from the graph shown? then …
To determine \( h \) and \( k \) for the parabola, we use the vertex form of a parabola's equation, \( f(x) = a(x - h)^2 + k \), where \((h, k)\) is the vertex. However, since the…