Algebra
Lineare Gleichungen, quadratische Funktionen, Ungleichungen und Umformungen.
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understanding check: solve using substitution. a. \\begin{cases} y = -3…
$x=-3$, $y=15$
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solve the inequality and graph the solution. 4c + 1 ≤ 9 plot the endpoi…
The solution to the inequality \( 4c + 1 \leq 9 \) is \( c \leq 2 \). To graph it, place a closed dot at \( 2 \) on the number line and draw a ray to the left from \( 2 \).
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which sentence uses prosperous correctly? miguels grandma believes that…
Miguel's grandma believes that education and hard work lead to a prosperous life.
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simplify. \\(\\frac{6x^{7}}{2x^{5}}\\)
\( 3x^{2} \)
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solve the inequality and graph the solution. 10 + 3j ≥ 4 plot the endpo…
The solution to the inequality \( 10 + 3j \geq 4 \) is \( j \geq -2 \). To graph this, we plot a closed dot at \( -2 \) (because the inequality is "greater than or equal to") and …
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11) $-8x - 8y = -24$ $-x + 4y = -23$
The solution to the system of equations is \(x = 7\) and \(y=-4\)
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which sentence uses prior correctly? the prior owners of lindseys house…
The prior owners of Lindsey's house planted a maple sapling in the yard, and now it's enormous.
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c. solve using substitution. \\begin{cases} y = 2x - 8 \\\\ y = -3x + 2…
$x=2$, $y=-4$
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simplify. \\frac{11^{3} 11^{4}}{11^{2} 11^{6}}
\( \frac{1}{n} \) (or \( n^{-1} \))
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solve the inequality and graph the solution. 5 + 2c ≤ -7 plot the endpo…
The solution to the inequality \( 5 + 2c \leq -7 \) is \( c \leq -6 \). To graph this, we plot a closed dot at \( -6 \) (since the inequality is "less than or equal to") and draw …
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divide. \\(\\dfrac{x - 3}{4x + 12} \\div \\dfrac{x - 1}{x^2 + 5x + 6}\\…
$\frac{(x-3)(x+2)}{4(x-1)}$ or $\frac{x^2 - x - 6}{4x - 4}$
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9. the conversation with uncle mark mostly develops which theme? a) hon…
B) The cost of violence ### Question 10
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simplify. \\(\\dfrac{a^{2}b^{4}}{2a^{3}b^{5}x^{5}}\\)
\(\frac{b}{x^{5}}\)
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solve the inequality and graph the solution. -10 + 5s ≤ 10 plot the end…
The solution to the inequality is \( s \leq 4 \). The graph has a closed dot at 4 and a ray extending to the left from 4.
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which sentence uses recruit correctly? irma recruited her trumpet case …
Irma plays the trumpet so well that the school marching band recruited her.
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-6x - 2y = 8 -2x + 5y = 14
The solution is \(x = -2\), \(y = 2\)
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a homemade lip balm consists of coconut oil and beeswax. coconut oil co…
\( a = \$3.00 \) \( b = \$10.00 \)
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which transformation transforms the graph of f(x) = x² to the graph of …
a horizontal translation 4 units to the left
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does the text contain a vague pronoun reference? when sophie researched…
no
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question 2 without using a calculator, find the value of ((3 \times 2^2…
\(-\frac{1}{32}\)
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example 3: systems with infinitely many solutions: solve by graphing. \…
The two equations simplify to the same linear equation ($y = -\frac{1}{2}x + 2$), so their graphs are the **same line**. Every point on this line represents an ordered pair $(x,y)…
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solving a mixture problem number value total value pennies p 0.01 0.01p…
14 pennies and 8 nickels
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does the text contain a vague pronoun reference? as leah entered the ha…
no
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question 1 without using a calculator, find the value of $(2^2 \\times …
\(\frac{1}{40}\)
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does the text contain a vague pronoun reference? because anna has a glu…
no
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28. mariana and her 4 sisters spent an equal amount of time cleaning th…
The division equation is \( \frac{c}{5}=3 \) and the total number of hours \( c \) is 15.
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does the text contain a vague pronoun reference? if tommy doesnt know h…
yes
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9) \\(20x + 2y = -4\\)\\(10x + 8y = -16\\)
\(x = 0\), \(y=-2\)
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9. what are the differences between voice mail and written phone messag…
To answer these questions, we'll address each one: ### Question 9: Differences between voice mail and written phone messages - **Voice Mail**: - Audio - based, stored digitally in…
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does the text contain a vague pronoun reference? before jake decided on…
yes
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page 1: 9. what are the differences between voice mail and written phon…
a. Speed Dial (or similar quick - dial feature) b. Caller ID c. Call Waiting d. Call Return (or similar recall feature) e. Call Transfer
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example 2: systems with no solutions: solve by graphing. y = -2x + 1 y …
1. What do you notice? The slopes (coefficients of $x$) of the two lines are identical ($-2$), while the y-intercepts are different. 2. Why can't there be a solution? The lines ar…
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25. subtract: $\begin{array}{r}5x^2 - 3\\ - (2x + 4)\\ hlineend{array}$…
\(5x^{2}-2x - 7\) If you want solutions for other problems (like 26, 27, etc.), the general steps are: 1. Distribute the negative sign to each term in the polynomial being subtrac…
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factor $x^4 + 11x^2 + 18$ completely. all factors in your answer should…
$(x^2 + 2)(x^2 + 9)$
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multiply. \\(\\frac{x - 1}{x^2 - 5x + 6} \\cdot \\frac{x^2 - x - 2}{4x …
$\frac{x+1}{4(x-3)}$ (or $\frac{x+1}{4x-12}$ when expanded)
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simplify the expression: 7 + 3c + 2 - 5
\( 3c + 4 \)
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solve for f. \\(\\frac{f}{2.05} - 4.39 < 3.21\\)
\(f < 15.58\)
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solve for m. 633 - m ≤ -331
$m \geq 964$
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simplify the expression: -1 + -8z + -6z + -7z - 6 + 5z
$-16z - 7$
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solve for m. 552 < -19 - m
\( m < -571 \)
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simplify the expression: 5d - d + 10 + 10 + 4
\(4d + 24\)
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solve for a. \\(\\frac{a}{-8} + 540 > 545\\)
\( a < -40 \)
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simplify the expression: 10 + 3 - 2 - 2 + 5g + 9
\( 5g + 18 \)
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factor $x^{4}+14x^{2}+49$ completely. all factors in your answer should…
$(x^2 + 7)^2$
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simplify the expression: 7 + 3b - 10 + 3b - 4b + 10
\( 2b + 7 \)
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factor $x^4 - 2x^2 + 1$ completely. all factors in your answer should h…
$(x - 1)^2(x + 1)^2$
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solve for b. \\(\\frac{b}{-15} + 764 \\leq 769\\)
$b \geq -75$
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factor ( x^4 - 8x^2 + 16 ) completely. all factors in your answer shoul…
$(x - 2)^2(x + 2)^2$
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factor ( x^4 + 20x^2 + 100 ) completely. all factors in your answer sho…
$\boldsymbol{(x^2 + 10)^2}$
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solve for w. \\(\\frac{w}{-1} - 12.88 \\geq -8.54\\)
\( w \leq -4.34 \)
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factor $x^{4}+12x^{2}+36$ completely. all factors in your answer should…
$(x^2 + 6)^2$
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simplify the expression: 6q + 6q + 10q + 9q + q
\( 32q \)
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solve for k. 10 + 2k > 1.9
\( k > -4.05 \)
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16. you are making gluten-free baked goods for a bake sale. one type of…
\( 7n \leq 28 \)
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solve for d. 19.74 < 1 - d
\( d < -18.74 \)
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solve for v. -8.04 > -2.04 - v
\( v > 6 \)
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15. choose efficient methods a test has 50 questions, with 25 questions…
\(p \geq 80\) (or \(100 - p \leq 20\) which is equivalent, but \(p \geq 80\) is a more direct inequality for her earned points)
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25. apply math models emily took an airplane trip. her plane flew an eq…
The equation is \(12m = 2184\) (or \(m=\frac{2184}{12}\))
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bruce wants to make 50 ml of an alcohol solution with a 12% concentrati…
For the 10% alcohol solution: 30 ml For the 15% alcohol solution: 20 ml
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unit 4 progress check: mcq questions 1 and 2 refer to the following. ma…
D. a stateless nation
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solve for g. 865 - g > 68
$g < 797$
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8) -2x + 12y = 18 4x - 2y = 30
The solution to the system of equations is \(x = 9\) and \(y = 3\), or as an ordered pair \((9, 3)\).
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bruce wants to make 50 ml of an alcohol solution with a 12% concentrati…
\( 0.10x + 0.15(50 - x) = 0.12(50) \) (the fourth equation)
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solve for the variable 1 ( x + 6 = 14 ) 2 ( y - 9 = 3 ) 3 ( 4a = 20 ) 4…
\( x = 5 \) \( y = 9 \) \( a = 5 \) \( b = 30 \) \( m = 14 \)
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13. gabe has 6 more baseball cards than football cards. he has fewer th…
The inequality for the number of football cards \( f \) is \( f + 6 < 125 \) (or equivalently \( f < 119 \)).
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ii.iii 38. what is the purpose of the porter? why would shakespeare inc…
The Porter provides comic relief, offers social commentary (mocking vice and the hell - like castle), and balances the play’s tone. Shakespeare includes him to ease tension after …
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simplify. \\(\\dfrac{9u^2 - 4}{3u^2 + 19u - 14}\\)
$\frac{3u+2}{u+7}$ (with restrictions $u eq \frac{2}{3}, -7$)
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solve for f. 503 < 803 - 3f
\( f < 100 \)
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simplify the expression: -4f + -3 + -3f + -5f - 7
\(-12f - 10\)
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solve for k. \\(\\frac{k}{2} - 1 < 4\\)
\(k < 10\)
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20. \\(\\frac{x}{3} = 294\\)
\( x = 882 \)
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solve for n. 100 > 68 - n
\( n > -32 \)
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simplify the expression: 5r + -7r
\(-2r\)
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question 1 of 4 which of the following is not a factor that makes peopl…
A. child marriage
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which of the following is an example of a land resource? ○ cow ○ factor…
cow
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which equations matches the graph above? $h(x) = -(x)^2 - 4$ $h(x) = (x…
$h(x)=(x+4)^2-1$
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simplify the expression: -6f - f + -f - 8f
\( -16f \)
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solve for y. \\(\\frac{y}{31} - 2 \\geq 1\\)
\(y\geq93\)
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solve for p. \\(\\frac{p}{3} + 96 \\leq 97\\)
\(p\leq3\)
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finding positive or negative domains question determine the domain on w…
\(-4 < x < -1\)
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a society decides that it needs to produce more corn to feed the growin…
analyze existing resources, such as water availability
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due jan 9 25 points 77 replies, 77 unread exit card: hamilton v jeffers…
Example response (aligned with Hamilton): I agree most with Alexander Hamilton. His push for a strong federal government and the creation of a national bank laid the foundation fo…
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determining central ideas read the passage. then answer the question th…
- They are sad about their bloody deed. - They had to kill Caesar to save Rome.
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which of the following best illustrates deciding how to produce a speci…
A. Should we produce jeans with expensive machinery or less expensive labor?
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solve for u. -77 ≥ -45 - u
\( u \geq 32 \)
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use the fact that 56 × 18 = 1008 to determine the product of 5.6 × 1.8 …
$10.08$
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the three questions of economics best help in making decisions about pr…
production
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solve for h. 36 > -42 - h
\( h > -78 \)
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solve for b. 5b - 48 ≤ 7
\( b \leq 11 \)
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resources needed to provide goods or services are called factors of pro…
factors of production.
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domain: (the image shows a number line from -5 to 5 with a blue line se…
$-3 \leq x \leq 3$ (or in interval notation: $[-3, 3]$)
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select all the expressions that are equivalent to \\(\\left(10^{4}\ igh…
10²⁴, 5²⁴·2²⁴, (10⁶)⁴
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solve for j. 9 ≥ 17 - j
$j \geq 8$
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31. 7x = 21 - x + x + x 8x = 21 32. 4 - 20 = 16x 33. 10 - 9 = 16 - 5 34…
31. $x=3$ 32. $x=-1$ 33. $x=\frac{2}{3}$ 34. $z=-\frac{1}{4}$ 35. $a=\frac{23}{4}$ 36. $n=\frac{40}{33}$ 37. False (the equation is not valid) 38. $x=-\frac{3}{4}$ 39. $x=\frac{6}…
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select all the expressions that are equivalent to $5^{-2} \\cdot 4^{-2}…
B. $\frac{1}{20^2}$, D. $20^{-2}$
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one of the three economic questions deals with deciding what goods and …
A. what goods and services should be produced.
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write an expression for \10 times the product of 12 and 14\ evaluate.
Expression: $10 \times (12 \times 14)$ Evaluated value: $1680$
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select all the expressions that are equivalent to $3^7 \\cdot 3$. $\\le…
$(3^4)^2$, $\frac{3^8}{3^0}$
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5 bags of candy cost $17.50, then how much did you pay per bag?
$\$3.50$
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solve for c. -1c + 18 ≤ 19
\( c \geq -1 \)