代数
一次方程式、二次関数、不等式、式変形。
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8. - / 1 points combine and simplify. \\(\frac{10 - y}{10} + \frac{6y}{…
$\frac{y + 2}{2}$ (or $\frac{2 + y}{2}$)
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traffic signs are regulated by the manual on uniform traffic control de…
The width of the sign is 23 in.
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combine and simplify.\\( \\frac{-4x - 20}{x^2 + 8x + 15} + \\frac{4}{x …
\(\frac{2x}{x + 5}\)
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combine and simplify. \\(\\frac{2}{x + y} + \\frac{2}{x^2 - y^2}\\)
\(\frac{2(x - y + 1)}{(x + y)(x - y)}\) (or \(\frac{2x - 2y + 2}{x^2 - y^2}\) or further simplified as \(\frac{2(x - y + 1)}{(x + y)(x - y)}\))
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an athlete began a 110 - mile bicycle trip to build up stamina for a tr…
The athlete rode for 2.5 hours.
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2 - \\frac{x}{4} \\geq 4
\( x \leq -8 \)
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divide and simplify.\\( \\frac{(x^{3}y)^{2}}{(x + 6y)^{2}}\\div\\frac{x…
\(x^{4}y(x + 6y)\)
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a first number plus twice a second number is 12. twice the first number…
The larger of the two numbers is \( 16 \).
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a first number plus twice a second number is 12. twice the first number…
\(-2\)
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divide and simplify.\\( \\frac{5x + 5}{2x} \\div \\frac{x^2 - 9x}{x^2 -…
$\frac{5(x + 1)^2}{2x^2}$ (or expanded, $\frac{5(x^2 + 2x + 1)}{2x^2} = \frac{5x^2 + 10x + 5}{2x^2}$, but the factored form is simpler)
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two numbers total 41 and have a difference of 7. find the two numbers. …
The larger number is \( 24 \), and the smaller number is \( 17 \).
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17. on the evening of ____, king was fatally shot while standing on the…
17. April 4, 1968; Memphis, Tennessee 18. Widespread racial unrest and rioting in over 100 U.S. cities, national mourning, and continued momentum for civil rights and economic jus…
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write a system of equations in x and y describing the situation. do not…
\(\begin{cases} x + y = 11 \\ x - y = 1 \end{cases}\) (corresponding to the option \(\begin{cases} x + y = 11 \\ x - y = 1 \end{cases}\))
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topic 10-2: solve by factoring review: multiply ( x + 3 )( x - 4 ) answ…
1. $\boldsymbol{x^2 - x - 12}$ 2. $\boldsymbol{x = \frac{7}{2}}$
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multiply and simplify.\\( \\frac{y^{2} - 36}{y^{2} + 12y + 36} \\cdot \…
\(\frac{3y + 1}{y + 6}\)
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31. reasoning which of the following is not equivalent to (log_{b}\frac…
B. $4 \log_3 y - \log_3 3 + \log_3 x$ --- ### Problem 32
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1. which symbol, < , >, or =, makes the statement true? -8 □ 7 2. order…
< ### 2.
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which relation is a function? input output 0 1 0 2 1 3 1 4 input output…
The bottommost table (Input: 1,2,3,4; Output:2,2,3,3)
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draw your own box 7 (7x + 4)(x + 7) answer: 8 (3x + 1)(x + 7) answer: 9…
Problem 7: $\boldsymbol{7x^2 + 53x + 28}$ Problem 8: $\boldsymbol{3x^2 + 22x + 7}$ Problem 9: $\boldsymbol{5x^2 - 9x - 2}$ Problem 10: $\boldsymbol{5x^2 - 18x + 9}$ Problem 11: $\…
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simplify the rational expression.\\(\\frac{4u^{2}v - 12uv^{2}}{18uv}\\)
\(\frac{2u - 6v}{9}\) (or \(\frac{2(u - 3v)}{9}\))
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which table represents y as a function of x? x 3 4 3 2 3 y 0 1 2 1 3 x …
s: 1. The table representing \( y \) as a function of \( x \) is the second table (with \( x \): 8, 7, 6, 5, 4 and \( y \): -1, 2, -1, 2, -1). 2. The relation that is a function i…
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what is one of the inputs (that is, stored) in an information system? f…
B. Customer's Birthdate
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analyzing development of a theme, part 1 — instruction — as analiz and …
casual
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pushed her knee into the back of julias leg. \hey!\ julia swatted at bu…
nodded
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4) answer the questions in a complete sentence or two. a) what did pres…
a) President Washington warned Americans against political parties and permanent foreign alliances in his Farewell Address, stating they would divide the nation and threaten its i…
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2 which sentence describes a solution? f the flood of montreal, canada,…
1. J. Jos Vincent offered his fleet of 40 small boats to aid flood victims. 2. D. They were happy to see him when he arrived with his boats. 3. Jos Vincent offered his fleet of 40…
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what details in the story suggest that julia is devoted to dancing? the…
cut costs
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what details in the story suggest that julia is devoted to dancing? the…
for many years
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1 which detail describes a problem? a people noted the kindness of a st…
B. The water rose to six feet above street level.
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what is an example of a business output? ○ raw copper ○ automobile ○ as…
B. Automobile
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elementary algebra skill simplifying radicals of index 2 (assume all va…
$5\sqrt{5}$ Let's solve problem 2: $\boldsymbol{\sqrt{72}}$
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the first three terms of a sequence are given. write your answer as a d…
0.125
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write two numbers that multiply to the value on top and add to the valu…
5 and 7
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what are the two types of business processes? (check all that apply) (c…
B. Static, D. Dynamic (assuming the options are labeled as A. Profitable, B. Static, C. Systematic, D. Dynamic)
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problem 1: diagram a here is a tape diagram select the story represente…
### Selected Story: Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself. ### Selected Equation: $3x + 6 = 27$
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solve the equation $2x^2 + 3x - 8 = 4x$ to the nearest tenth. answer at…
$x\approx2.3$ and $x\approx-1.8$
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solve the equation $x^2 + 10x + 2 = 0$ to the nearest tenth. answer att…
$x\approx-0.2$ and $x\approx-9.8$
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solve the equation ( x^2 - 3x - 22 = 0 ) to the nearest tenth.
$x\approx6.4$ and $x\approx-3.4$
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given the function $c(x) = -9(x - 2)^3(x + 6)^6(x - 4)$, its roots are …
Roots: $2, -6, 4$ Multiplicities: $3, 6, 1$
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what does fais stand for? - fast area internet system - functional area…
B. Functional Area Information System
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suppose that $2000 is loaned at a rate of 13.5%, compounded annually. a…
$\$5635.80$
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solve the equation for all real solutions in simplest form.\\(2r^{2} + …
$r=\frac{-3+\sqrt{41}}{4}$ and $r=\frac{-3-\sqrt{41}}{4}$
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a principal of $2600 is invested at 5.5% interest, compounded annually.…
$4210$
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given the graph of a degree 4 polynomial below, complete the table of v…
| Root with x = | Multiplicity | |---------------|--------------| | $-4$ | $1$ | | $4$ | $1$ | | $-1$ | $2$ |
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1. - / 1 points simplify the rational expression. \\(\\frac{y^3 - 9y}{y…
\( \frac{y^2 + 3y}{y + 6} \) (or \( \frac{y(y + 3)}{y + 6} \))
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write explicit formula for sequence question write an explicit formula …
$a_n = 3 \cdot (-6)^{n-1}$
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match the critical thinking process step to the example. a. you write d…
1. e 2. b 3. a 4. d 5. c
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a. feed your cat without being asked b. explain that you are stressed o…
1. Show you Care - e. Ask your parents how their day went. 2. Share your Concerns - b. Explain that you are stressed over a missing assignment 3. Show that you are listening - d. …
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solve the equation for all real solutions in simplest form. 4z² + 11z +…
$z=\frac{-11+\sqrt{57}}{8}$ and $z=\frac{-11-\sqrt{57}}{8}$
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test review #3, chapter 5 score: 6.5/37 answered: 6/37 question 7 given…
The y-intercept is $0$ The x-intercepts are $-5$, $0$, $2$ When $x \to \infty$, $y \to \infty$ When $x \to -\infty$, $y \to -\infty$
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missing a third one group from the card sort did not have a matching eq…
$4(x + 2) = 28$
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mat151 college algebra dual-enrollment (25-26) > assessment test review…
Zeros: $-1, 1, \frac{3}{5}, 2$ Degree: $14$ End behavior: As $x \to -\infty$, $f(x) \to +\infty$ As $x \to +\infty$, $f(x) \to +\infty$
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directions: review all information carefully, silently and independentl…
1. I'm 2. They'll 3. She's 4. We've 5. It's 6. He'd 7. You're 8. We'll 9. I've 10. They're
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rewrite the following without an exponent. $(-2)^{-3}$
$-\frac{1}{8}$
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help irene irene incorrectly matched these two cards. what could you sa…
The tape diagram has 4 groups of $(x+2)$, so the correct equation is $4(x+2)=28$ or $4x+8=28$. Your equation $4x+2=28$ only adds one 2 instead of four 2s, so it does not match the…
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make groups that represent the same situation. some groups will be miss…
1. **Cake Baking Group**: - Situation: *A cake baking kit says: 28 tablespoons of sugar is provided for 2 cakes. For each cake, save 4 tablespoons of sugar for frosting and put th…
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starting at \\(\frac{5}{8}\\), get the disc to the basket in one throw.…
3
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directions: read the chart. then, follow the directions. the framers ha…
1. Members in this chamber can be more responsive to the interests of local communities, since they represent districts instead of whole states. → House 2. The age requirement in …
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write explicit formula for sequence question write an explicit formula …
$a_n = 8n + 17$
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change of cookie plans liam ended up baking 33 cookies. he kept 5 for h…
a. $\boldsymbol{5 + 7x = 33}$ (or $\boldsymbol{7x = 33 - 5}$) b. The tape diagram will be a single bar representing the total 33 cookies. It will be split into two distinct sectio…
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what are the three components of the it infrastructure? (check all that…
A. IT Services, B. IT Personnel, C. Software & Hardware
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liams strategy liam used this tape diagram and equation to represent hi…
$3x = 21$
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3) drag and drop the letters to the correct locations. complete the gen…
Top dashed blank (reactant): B Bottom top dashed blank (product): A Bottom bottom dashed blank (product): B Full balanced generic equation: $\text{A} + \text{BC} ightarrow \text{A…
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the points in the table lie on a line. find the slope of the line. x | …
\(\frac{2}{5}\)
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write a recursive formula for $a_n$, the $n^{\\text{th}}$ term of the s…
$a_1 = 1$ $a_n = 5a_{n-1}$ (for $n \geq 2$)
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Question was provided via image upload.
24. (-2, -1) 25. (4, -2)
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the points in the table lie on a line. find the slope of the line. \\(\…
\(\frac{2}{5}\)
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write a recursive formula for $a_n$, the $n^{\\text{th}}$ term of the s…
$a_1 = 19$ $a_n = a_{n-1} - 8$ (for $n \geq 2$)
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18 multiple choice 2 points what is the value of the y - coordinate of …
18. B. 2 19. D. (-4,-8) 20. A. (5.5, 2.5)
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explain how you know that \\(\\sqrt{4 - 3x} + 5 = 2\\) has no solutions…
The equation \(\sqrt{4 - 3x}+5 = 2\) has no solutions because it is equivalent to \(\boldsymbol{\sqrt{4 - 3x}=-3}\) after \(\boldsymbol{subtracting}\) \(\boldsymbol{5}\) from both…
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what is the value of y in the following system of equations? 2x + 3y = …
1. 4 2. (-4, 8) 3. (4, -1)
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3 multiple choice 2 points what is the value of the y - coordinate of t…
1
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10 multiple choice 2 points solve: 3x - 2y = 2 6x - 4y = 5 (2/3, 0) (7/…
10. no solution 11. $\frac{4}{3}$ 12. parallel lines
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14. $x^4 - 12x^2 + 36$ 15. $w^4 - 14w^2 - 32$ 16. $k^3 + 7k^2 - 44k$ 17…
\((x^2 - 6)^2\) (or \((x - \sqrt{6})^2(x + \sqrt{6})^2\)) --- Problem 15: \(w^4 - 14w^2 - 32\)
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select the five components of an information system (check all that app…
- Process (check this) - Hardware (check this) - Data (check this) (Note: The full five components of an information system are Hardware, Software, Data, Process, and People. Sinc…
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part b check for extraneous roots. select the word(s) from the drop - d…
The solution \boxed{has} an extraneous root. (Note: This answer is based on common problem scenarios. If the original equation's solution satisfies it, the answer would be "does n…
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if $x + y = -10$ and $x - y = 2$, what is the value of $x$? $\\bigcirc$…
1. -4 2. (2.5, -0.5) 3. (-6, 6)
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determine if the sequence below is arithmetic or geometric and determin…
This is a geometric sequence and the common ratio is equal to 9.
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complete the equation to show how to break apart 316 using regrouping. …
\(110\)
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what is the value of the y - coordinate of the solution to the system o…
1. 2 2. (-3, -1) 3. (2, 1)
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a department store sells a pair of shoes with an 87% markup. if the sto…
$103$ (Option: $103$)
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directions: use this information to answer parts a and b. solve the equ…
For the first row (isolate cube root): $\sqrt[3]{5x + 3}\ \boldsymbol{+9=}\ 7$ (operation: add 9 to both sides, result: 7) For the second row (eliminate cube root): $5x + 3\ \bold…
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1. which ordered pair is the solution to this system of equations? y = …
1. $(-1, 3)$ 2. $(2, 0)$ 3. no solution
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the story of an hour by kate chopin years to come that would belong to …
False
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15. find the area of the square. $a = l cdot w$
$x^2 + 12x$
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16. the expression is equivalent to ((5x - 3)(2x + 4))? a. (10x^2 + 14x…
a. $10x^2 + 14x - 12$
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4 multiple choice 4 points what is the value of x in the solution of th…
1. 2 2. (5.5, 2.5)
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part b check for extraneous roots. select the words from the drop - dow…
The solution \( x = -12 \) is an extraneous root. The solution \( x = 12 \) is not an extraneous root. (If the drop - down options are "is" and "is not", then: The solution \( x =…
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what is the solution of the system of equations below? $2x + 3y = 7$ $x…
1. (2, 1) 2. (-1, -2)
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9. is ((a + b)^2) equal to (a^2 + b^2)? justify your answer completely
No, $(a+b)^2$ is **not completely equal** to $a^2+b^2$. Expanding $(a+b)^2$ gives $a^2+2ab+b^2$, which includes an additional $2ab$ term. This term is only zero if $a=0$, $b=0$, o…
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what is the value of y in the following system of equations? 2x + 3y = …
4
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which ordered pair satisfies the system of equations below? $3x - y = 8…
1. (2.5, -0.5) 2. -4 3. 2
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directions: use this information to answer parts a and b. solve the equ…
For the first box (after subtracting 2): \(3\) For the second box (after cubing both sides): \(27\) For the third box (after adding 7): \(34\) The operations are: Subtract 2 (from…
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directions: use this information to answer parts a and b. solve the equ…
For the first box (after \(3x - 5\)): \(= 100\) (from squaring both sides, \(10^2 = 100\)) For the second box (after \(3x\)): \(= 105\) (from adding 5 to both sides, \(100 + 5 = 1…
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which of the following descriptions is most likely from the perspective…
C. The cat scratched Amelia because it knows what I know — that Amelia wants my job.
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find 682 - 127 682 = 600 + 80 + 2 -127 = 100 + 20 + 7 do you need to re…
Yes, regroup 1 ten to get more ones.
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date: ______________________ per: ______ homework 2: factoring polynomi…
\((a + b)(a - b)\) ### Problem 2: Sum of Cubes
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the story of an hour by kate chopin it was her sister josephine who tol…
weak
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in exercises 21 and 22, simplify the complex fraction. 21. \\(\\dfrac{\…
$\frac{x(x + 2)}{x^2 + 2}$ (or $\frac{x^2 + 2x}{x^2 + 2}$) ### Exercise 22: Simplify the Complex Fraction
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the story of an hour by kate chopin it was her sister josephine who tol…
Her husband died in a railroad accident.