Algebra

Problem 2301

3. Given the supply function, P=500+2QP=500+2 Q, where PP is the price of a bottle of a perfume, QQ is the number of litres supplied. a) What is the value of QQ when P=K750P=K 750 ? b) What is the value of P when Q=35Q=35 ?

See Solution

Problem 2302

Write an equation for a rational function with the given characteristics.
Vertical asymptotes at x=3x=-3 and x=6,xx=6, x-intercepts at (5,0)(-5,0) and (3,0)(3,0), horizontal asymptote at y=6y=-6
Enclose numerators and denominators in parentheses. For example, (ab)/(1+n)(a-b) /(1+n).
Include a multiplication sign between symbols. For example, axa^{*} x.

See Solution

Problem 2303

Consider the arithmetic series 2+5+8+2+5+8+\ldots. Determine the number of terms of the series required to give a sum of 222 by developing and solving a quadratic equation,

See Solution

Problem 2304

4. Suppose a manufacturer of shoes will place on the market 50 pairs when the price is K35 and 35 pairs when the price is K2O. a) Find the supply function in the form P=f(Q)P=f(Q) and sketch its graph. b) What will be P when Q=85Q=85 ?

See Solution

Problem 2305

Use division method to Find all zeros of the function f(x)=2x39x2f(x)=2 x^{3}-9 x^{2} intergers and fractions for answers, not decimals. Show your work on paper to receive full credits.
The zeros are: \square The fully factor form is f(x)=f(x)= \square
Calculator
Submit Question

See Solution

Problem 2306

Following the idea in Example 1.25, what is the value of the summation j=25(j21)?\sum_{j=2}^{5}\left(j^{2}-1\right) ?

See Solution

Problem 2307

Find the slope and y-intercept of the equation y=35x7.\text{Find the slope and } y\text{-intercept of the equation } y = \frac{3}{5} x - 7.

See Solution

Problem 2308

Using Theorem 1.28 , what is the value of the sum k=083k\sum_{k=0}^{8} 3^{k} ? 3912\frac{3^{9}-1}{2} 3812\frac{3^{8}-1}{2} 393^{9} 3(3812)3 \cdot\left(\frac{3^{8}-1}{2}\right)

See Solution

Problem 2309

In Marissa's calculus course, attendance counts for 15%15 \% of the grade, quizzes count for 15%15 \% of the grade, exams count for 50%50 \% of the grade, and the final exam counts for 20%20 \% of the grade. Marissa had a 100%100 \% average for attendance, 93%93 \% for quizzes, 86%86 \% for exams, and 85%85 \% on the final. Determine Marissa's course average.
Marissa's course average is \square %\%. (Type an integer or a decimal. Do not round.)

See Solution

Problem 2310

terms of each sequence. Determine whether each sequence is arithmetic, geometric, or neither. a. a(1)=7,a(n)=a(n1)3\quad a(1)=7, a(n)=a(n-1)-3 for n2n \geq 2. b. b(1)=2,b(n)=2b(n1)1\quad b(1)=2, b(n)=2 \cdot b(n-1)-1 for n2n \geq 2. c. c(1)=3,c(n)=10c(n1)\quad c(1)=3, c(n)=10 \cdot c(n-1) for n2n \geq 2. d. d(1)=1,d(n)=nd(n1)d(1)=1, d(n)=n \cdot d(n-1) for n2n \geq 2.

See Solution

Problem 2311

The table shows projections for the female population of a country (in millions). \begin{tabular}{l|c|c|c} Year & 2020 & 2045 & 2050 \\ \hline Female Population & 181 & 227 & 236 \end{tabular} (a) Find a quadratic function f(x)=ax2+bx+c\mathrm{f}(\mathrm{x})=\mathrm{ax}{ }^{2}+\mathrm{bx}+\mathrm{c} that gives the female population (in millions) in year x , where x=0\mathrm{x}=0 corresponds to the year 2000 . (b) Estimate the female population in the year 2030 . (a) The coefficient of x2x^{2} in the equation is a=a= \square (Do not round until the final answer. Then round to three decimal places as needed.)

See Solution

Problem 2312

Find the inverse of the function on the given domain. f(x)=(x4)2,[4,)f1(x)=\begin{array}{l} f(x)=(x-4)^{2},[4, \infty) \\ f^{-1}(x)= \end{array}

See Solution

Problem 2313

Find the inverse of the function on the given domain. f(x)=(x4)2,[4,)f(x)=(x-4)^{2},[4, \infty)

See Solution

Problem 2314

Which sets of ordered pairs represent functions from AA to BB ? (Select all that app A={a,b,c} and B={1,2,3,4}A=\{a, b, c\} \text { and } B=\{1,2,3,4\} {(a,2),(c,3),(c,4),(b,4)}\{(a, 2),(c, 3),(c, 4),(b, 4)\} {(a,2),(b,3),(c,4)}\{(a, 2),(b, 3),(c, 4)\} {(2,a),(1,a),(3,c),(4,b)}\{(2, a),(1, a),(3, c),(4, b)\} Need Help? Read it Watch it Submit Answer 3. [-/1 Points] DETAILS MY NOTES
Determine whether the equation represents yy as a function of xx. y=x+3y=\sqrt{x+3} Yes No Need Help? Read It Watch it 4. [-/1 Points] DETAILS MY NOTES
Determine whether the equation represents yy as a function of xx. y=4x|y|=4-x Yes No

See Solution

Problem 2315

For the function f(x)=x29xf(x)=x^{2}-9 x, simplify each expression as much as possible
1. f(x+h)f(x)h,h0\frac{f(x+h)-f(x)}{h}, h \neq 0 : \square
2. f(w)f(x)wx,xw\frac{f(w)-f(x)}{w-x}, x \neq w : \square

Note: You can earn partial credit on this problem.

See Solution

Problem 2316

Find the inverse of the function. f(x)=95x3f(x)=9-5 x^{3}
Hint: The cube root is the same as an exponent of 1/31 / 3, so for 19x3\sqrt[3]{19 x}, you could type in (19x)(1/3)\left(19^{*} x\right)^{\wedge}(1 / 3). Remember your parentheses!

See Solution

Problem 2317

ons \& Modeling with Quadratic Equat Question 11, "Bus Econ 3.2.51
The profit for a product is given by P(x)=14x2+1540x42,000P(x)=-14 x^{2}+1540 x-42,000, where xx is the number of units produced and sold. How many units give break even (that is, give zero profit) for this product?

See Solution

Problem 2318

Perform the operation. (9x+9)+(9x28x+6)(9 x+9)+\left(-9 x^{2}-8 x+6\right)

See Solution

Problem 2319

6. At the corner's pasta restaurant it is expected that 350 dishes will be sold at a price of K200 each. For each k 4 reduction in price, 20 more dishes will be sold. The restaurant is willing to supply 325 pasta dishes at K100 each, and 475 dishes at K220 each. a) Find the linear demand equation of the pasta dish. b) Find the linear supply equation of the pasta dish. c) Find the equilibrium price and the quantity of the pasta dish.

See Solution

Problem 2320

Gustaf wants to earn $3,000\$ 3,000 simple interest on a $9,000\$ 9,000 investment with an annual simple interest rate of 2.5%2.5 \%. How long should Gustaf plan to invest his money?

See Solution

Problem 2321

 (5) y=x25xy21012\begin{array}{l} \text { (5) } y=x^{2}-5 \\ \begin{array}{c|c} x & y \\ \hline-2 \\ -1 & \\ 0 & \\ 1 & \\ 2 & \end{array} \end{array}

See Solution

Problem 2322

3x2+2x5=03 x^{2}+2 x-5=0

See Solution

Problem 2323

x˙A]\left.\dot{x}_{A}\right] Which sign makes the statement true? 0.8?45-0.8 ? \frac{-4}{5} \square \square \square Submit

See Solution

Problem 2324

Find the inverse of the function on the given domain. f(x)=(x4)2,[4,)f(x)=(x-4)^{2},[4, \infty) aba^{b} sin(a)\sin (a) \infty α\alpha f1(x)=f^{-1}(x)=

See Solution

Problem 2325

1 point A $27,000\$ 27,000 car has a resale value of $18,000\$ 18,000 five years after it was purchased. Assuming the value of this car depreciates linearly, estimate the value of the car 8 years after it was purchased. Enter your answer rounded to the nearest whole number. Do not enter the $\$ symbol. Type your answer...
Previous

See Solution

Problem 2326

Find the function value, if possible. q(t)=5t2+6t2q(t)=\frac{5 t^{2}+6}{t^{2}} (a) q(2)q(2) (b) q(0)q(0) (c) q(x)q(-x)

See Solution

Problem 2327

Suppose f(x)=x1xf(x)=\frac{x-1}{x} and g(x)=11xg(x)=\frac{1}{1-x}
Then (fg)(x)=(f \circ g)(x)= \square , and (gf)(x)=(g \circ f)(x)= \square . Remarkable!

See Solution

Problem 2328

10. 74=v47\frac{7}{4}=v-\frac{4}{7}

See Solution

Problem 2329

Saved Help Save \& Exit Submit
Answer the following questions. Hint. Use the accounting equation. a. At the beginning of the year, Addison Company's assets are $300,000\$ 300,000 and its equity is $100,000\$ 100,000. During the year, assets increase $80,000\$ 80,000 and liabilities increase $50,000\$ 50,000. What is the equity at year-end? b. Office Store Company has assets equal to $123,000\$ 123,000 and liabilities equal to $47,000\$ 47,000 at year-end. What is the equity for Office Store Company at year-end? c. At the beginning of the year, Quaker Company's liabilities equal $70,000\$ 70,000. During the year, assets increase by $60,000\$ 60,000, and at year-end assets equal $190,000\$ 190,000. Liabilities decrease $5,000\$ 5,000 during the year. What are the beginning and ending amounts of equity?
Complete this question by entering your answers in the tabs below. Required A Required B Required C
At the beginning of the year, Addison Company's assets are $300,000\$ 300,000 and its equity is $10\$ 10 I increase $80,000\$ 80,000 and liabilities increase $50,000\$ 50,000. What is the equity at year-end? \begin{tabular}{|c|c|c|c|c|c|c|} \hline & Assets & == & Liabilities + & + & \multicolumn{2}{|l|}{ Equity } \\ \hline Beginning & $300,000=\$ 300,000= & == & & + & \ & 100,000 \\ \hline Change & 80,000= & = & 50,000+ & + & & \\ \hline Ending & & =$ & + & + & & \\ \hline \end{tabular} Bequired A Required B

See Solution

Problem 2330

omplete the table. f(x)={36x2,x<6x6,x6f(x)=\left\{\begin{array}{ll} 36-x^{2}, & x<6 \\ x-6, & x \geq 6 \end{array}\right. \begin{tabular}{|l|l|l|l|l|l|} \hlinexx & 4 & 5 & 6 & 7 & 8 \\ \hlinef(x)f(x) & & & & & \\ \hline \end{tabular}

See Solution

Problem 2331

Factor Quadratic

See Solution

Problem 2332

6) Elijah went to the store and bought a pair of shoes for $44\$ 44 and seven pairs of pants. He spent $96\$ 96 in total. A) Write an equation to represent this scenario.
Equation: \qquad B) How much did each t-shirt cost? inswer: \qquad

See Solution

Problem 2333

- A factory manager, Vin Diesel, knows that on any given day, n employees can fill p(n)=2n8p(n)=2 n-8 orders.
1. How many orders can 10 employees fill in a \cdot day? WARM-UP 2.On Monday, 120 orders need to be filled. How many employees are needed on Monday? 3.On Tuesday, 64 orders need to be filled. How many employees are needed on Tuesday?

See Solution

Problem 2334

Expand and simplify (2y23)2(2y^2 - 3)^2.

See Solution

Problem 2335

What is the equation of the graph below? y=(x2)2+3y=-(x-2)^{2}+3 y=(x+2)2+3y=(x+2)^{2}+3 y=(x+3)2+2y=-(x+3)^{2}+2 y=(x3)2+2y=(x-3)^{2}+2

See Solution

Problem 2336

25(x2)=x+4\frac{2}{5}(x-2)=x+4

See Solution

Problem 2337

Solve the inequality. Express your answer using interval notation. Graph the solution set. (x+5)(x6)>(x2)(x+2)(x+5)(x-6)>(x-2)(x+2)
The solution to the inequality is \square (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answe

See Solution

Problem 2338

A table for f(x)f(x) is shown below: \begin{tabular}{|c|c|c|c|c|c|} \hline x\mathbf{x} & -2 & -1 & 0 & 1 & 2 \\ \hline f(x)\mathbf{f}(\mathbf{x}) & 1 & -1 & -2 & 4 & -4 \\ \hline \end{tabular} (3) A table for g(x)g(x) is shown below: \begin{tabular}{|c|r|r|r|r|r|} \hlinexx & -1 & 0 & 1 & 2 & 3 \\ \hlineg(x)g(x) & 1 & -1 & -2 & 4 & -4 \\ \hline \end{tabular}
Based on the table, g(x)=g(x)= f(x)1f(x)-1 f(x)+1f(x)+1 f(x+1)f(x+1) f(x1)f(x-1)
A table for h(x)h(x) is shown below: \begin{tabular}{|c|r|r|r|r|r|} \hline x\mathbf{x} & -2 & -1 & 0 & 1 & 2 \\ \hline h(x)\mathbf{h}(\mathbf{x}) & 0 & -2 & -3 & 3 & -5 \\ \hline \end{tabular}
Based on the table, h(x)=h(x)= f(x)+1f(x)+1 f(x+1)f(x+1) f(x)1f(x)-1 f(x1)f(x-1)

See Solution

Problem 2339

Solve the system using matrices (row operations) {6x3y+5z=35x2y4z=64x+y2z=13\left\{\begin{array}{r} -6 x-3 y+5 z=35 \\ x-2 y-4 z=-6 \\ 4 x+y-2 z=-13 \end{array}\right.
How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above
If there is one solution, give its coordinates in the answer spaces below.
If there are infinitely many solutions, enter zz in the answer blank for zz, enter a formula for yy in terms of zz in the answer blank for yy and enter a formula for xx in terms of zz in the answer blank for xx.
If there are no solutions, leave the answer blanks for x,yx, y and zz empty. x=y=z=\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}

See Solution

Problem 2340

Charlotte is driving at 71.5mi/h71.5 \mathrm{mi} / \mathrm{h} and receives a text message. She looks down at her phone and takes her eyes off the road for 3.92 s . How far has Charlotte traveled in feet during this time? distance: \square ft

See Solution

Problem 2341

Find the partial fraction decomposition. 20x2(x1)(3x1)=\frac{20 x-2}{(x-1)(3 x-1)}= \square

See Solution

Problem 2342

A one-year membership to a gym costs $725\$ 725. The registration fee is $125,1\$ 125, * 1 point and the remaining amount is paid monthly. Create an equation for the situation. Solve for the variable.
Your answer

See Solution

Problem 2343

Find the greatest common factor. 15y43y3+5y2y15 y^{4}-3 y^{3}+5 y^{2}-y

See Solution

Problem 2344

(3) Rajah menunjukklan kadar Sewaan bagikal di Sebuah taman. Dewasa: Rm10/jam kanak-kahak (umner 12 tahn ke bawah):Rm7//gmm Diskaun km2 Gasi cetiap karak"" puda har bekerya.
En. Rahman membawa keluargamya untule berbasikal pada han vabu. Rilongan ahli Keluarganye Lalah 7 orores tidak teumosk divinga. Diamembayar Rm 130 untuk riam untule Semia ahli Keluorganya. Nyatakan blogan arak En. Rahmenan yof berumur bowch 12 tahurs. (4m)(4 m)

See Solution

Problem 2345

u9+1\frac{u}{9}+1 at u=9u=9

See Solution

Problem 2346

Find the partial fraction decomposition. 10x14(x2)(2x3)=\frac{10 x-14}{(x-2)(2 x-3)}= \square

See Solution

Problem 2347

Solve the following system of equations. 2x3y=153x4y=19\begin{array}{l} -2 x-3 y=15 \\ -3 x-4 y=19 \end{array} x=x= \square \square y=y= \square

See Solution

Problem 2348

Simplify the Rational Expression below. What is the denominator of the simplified expression? 2x6x2+2x15\frac{2 x-6}{x^{2}+2 x-15}
Select one: a. x+11\mathrm{x}+11 b. x+5x+5 c. x5x-5 d. 2x+62 x+6

See Solution

Problem 2349

stion 2 yet wered
Flag estion
Simplify the Rational Expression below. 4a+22a+1\frac{4 a+2}{2 a+1}
Answer: \square

See Solution

Problem 2350

Simplify the Rational Expression below. 3x56x4\frac{3 x^{5}}{6 x^{4}}
Select one: a. 3x/23 x / 2 b. x/2x / 2 c. 3x/43 x / 4 d. 2x2 x

See Solution

Problem 2351

Simplify the Rational Expression below. What is the numerator of the simplified expression? 2y6y3\frac{2 y}{6 y^{3}}
Answer: \square

See Solution

Problem 2352

Factor by grouping. 6c2+43c+726 c^{2}+43 c+72

See Solution

Problem 2353

Simplify the Rational Expression below. 2x83x12\frac{2 x-8}{3 x-12}
Select one: a. 1/9-1 / 9 b. 2/72 / 7 c. 21 d. 2/32 / 3

See Solution

Problem 2354

Given the following rational expression, determine the values of xx for which the expression is undefined. 6x2+7x+26x25x6\frac{6 x^{2}+7 x+2}{6 x^{2}-5 x-6}
Select one or more: a. 2 b. 12\frac{-1}{2} C. -2 d. 32\frac{-3}{2} e. -3 f. 23\frac{-2}{3} g. 23\frac{2}{3} h. 32\frac{3}{2}

See Solution

Problem 2355

Drag the expressions below to express the rational expression in simplified terms. 3x+43x2+x4\frac{3 x+4}{3 x^{2}+x-4} 1 x1x-1 3 xx x+1-x+1 0

See Solution

Problem 2356

Simplify the Rational Expression below. What is the numerator of the simplified expression? 3z63z\frac{3 z-6}{3 z}
Select one: a. zz - 7 b. 3z13 z-1 c. z - 2 d. z+6z+6

See Solution

Problem 2357

Simplify the Rational Expression below. 3x2+10x84x2+13x12\frac{3 x^{2}+10 x-8}{4 x^{2}+13 x-12}
Select one: a. (3x+6)/(4x+1)(3 x+6) /(4 x+1) b. (3x5)/(4x1)(3 x-5) /(4 x-1) c. (3x2)/(4x3)(3 x-2) /(4 x-3) d. (x2)/(x3)(x-2) /(x-3)

See Solution

Problem 2358

(2a2b1)(a3b2)\left(2 a^{2} b^{-1}\right)\left(-a^{-3} b^{2}\right)

See Solution

Problem 2359

Subtract the following expression: 2x216x24x+4x+2\frac{2 x^{2}-16}{x^{2}-4}-\frac{x+4}{x+2}

See Solution

Problem 2360

Simplify the rational expression below. 125x24+2x5x2\frac{1}{25 x^{2}-4}+\frac{2 x}{5 x-2}
Which of the choices below is the numerator of the simplified expression written in standard form?
Select one: a. 2x+12 x+1 b. 10x2+4x10 x^{2}+4 x c. 10x24x+110 x^{2}-4 x+1 d. 10x2+4x+110 x^{2}+4 x+1

See Solution

Problem 2361

x3+10=15\frac{x}{3}+10=15

See Solution

Problem 2362

Simplify the rational expression below. zz3+33z\frac{z}{z-3}+\frac{3}{3-z}
Select one: a. 1 b. 6z6 z c. 1/2-1 / 2 d. 3z-3

See Solution

Problem 2363

Which of the choices below represents the lowest common denominator that could be used to simplify the rational expression below? 65x2y3z1150x4yz2\frac{6}{5 x^{2} y^{3} z}-\frac{11}{50 x^{4} y z^{2}}
Select one: a. 45x2y2z45 x^{2} y^{2} z b. 250x6y4z3250 x^{6} y^{4} z^{3} c. 50x4y3z250 x^{4} y^{3} z^{2} d. 10x2y2z10 x^{2} y^{2} z

See Solution

Problem 2364

Simplify the rational expression below. What is the numerator of the simplified expression? 3y+4y2\frac{3}{y}+\frac{4}{y^{2}}
Select one: a. 3y+43 y+4 b. 3y23 y-2 C. y+4y+4 d. 3y+63 y+6

See Solution

Problem 2365

Simplify the rational expression below. xx2+3xx+3\frac{x}{x-2}+\frac{3 x}{x+3}
Which of the choices below is the numerator of the simplified expression written in standard form?
Select one: a. 4x23x4 x^{2}-3 x b. x2+x6x^{2}+x-6 c. 4x4 x d. 2x(4x8)2 x(4 x-8)

See Solution

Problem 2366

11. The stylists in a hair salon cut hair for women and men. - The salon books at least four women's appointments for every man's appointment. - Usually there are 90 or more appointments, in total, during a week. - The salon is trying to reduce the number of hours the stylists work. - A woman's cut takes about 75 min , and a man's cut takes about 30 min . What combination of women's and men's appointments would minimize the number of hours the stylists work? How many hours would this be?

See Solution

Problem 2367

Solve the following equation. 73x2=567^{3 x-2}=56 x=x= \square (Type an exact answer.)

See Solution

Problem 2368

Solve the equation. (x2+14x)1/5=2\left(x^{2}+14 x\right)^{1 / 5}=2
Select the correct choice below and, if necessary, fill in the answer box to comple A. The solution set is \square 3 . (Simplify your answer. Type an integer or a fraction. Use a comma to sepa B. The solution set is the empty set.

See Solution

Problem 2369

m2+5m+62m25m3÷2m2+3m94m24m3\frac{m^{2}+5 m+6}{2 m^{2}-5 m-3} \div \frac{2 m^{2}+3 m-9}{4 m^{2}-4 m-3}

See Solution

Problem 2370

The graph above is a transformation of the function x2x^{2}. Write an formula for the function graphed above:

See Solution

Problem 2371

1=300(12)t5 1 = 300 \left( \frac{1}{2} \right)^{\frac{t}{5}}

See Solution

Problem 2372

Given that ADB=(6x+10)\angle ADB = (6x + 10)^\circ and BDC=4x\angle BDC = 4x^\circ, and knowing that these angles are complementary, find the measures of ADB\angle ADB and BDC\angle BDC.

See Solution

Problem 2373

0.302 grams of an antibiotic was dissolved in enough water at 23.6C23.6^{\circ} \mathrm{C} to make 500.0 mL of solution. The solution has an osmotic pressure of 8.34 mm Hg . What is the molar mass of the antibiotic? Show your work.

See Solution

Problem 2374

3x+4y=83x + 4y = 8

See Solution

Problem 2375

Recall the Formula: To find the equation of a tangent line to a function ff at a given point (x1,y1)\left(x_{1}, y_{1}\right), calculate the tangent slope mm, then plug x1,y1x_{1}, y_{1}, and mm into the point-slope form of the equation of a line.
Give the point-slope form of the equation of a line.

See Solution

Problem 2376

Let y=f(x)y=f(x) be the piecewise defined function given below. f(x)={x2, if x20, if 2<x<2x2, if x2f(x)=\left\{\begin{array}{ll} -x-2, & \text { if } x \leq-2 \\ 0, & \text { if }-2<x<2 \\ x-2, & \text { if } x \geq 2 \end{array}\right. a. f(3)=f(-3)= \square help (numbers) b. f(2)=f(2)= \square help (numbers) c. For what values of xx is f(x)=0f(x)=0 ? \square help (inequalities) d. Find the domain and range of ff. (You may find it helpful to graph this function on your own paper to find the domain and range.) Your answers must be inequalities (not intervals).
Domain: \square [lnf,lnf][-\operatorname{lnf}, \ln f] help (inequalities)
Range: [0,lnf)[0, \ln f) \square help (inequalities)

See Solution

Problem 2377

Given f(x)=3x6f(x)=3 \sqrt{x-6} and g(x)=x6g(x)=\sqrt{x-6}, find formulas for f+g,fg,fgf+g, f-g, f g, and f/gf / g plus the domains of each. Enter the domains using interval notation, and use inf for \infty if appropriate. (f+g)(x)=(f+g)(x)= \square Domain == \square (Jg)(x)=(J-g)(x)= \square Domain =[6=[6, Inf )) \square (fg)(x)=3(x6)(f g)(x)=3(x-6) \square \square Domain =[6=[6, Inf )) (fg)(x)=3\left(\frac{f}{g}\right)(x)=3 \square Domain =(6=(6, Inf ))

See Solution

Problem 2378

Diketahui matriks A=[2134]A=\left[\begin{array}{rr}2 & -1 \\ 3 & 4\end{array}\right] dan B=[214567562]B=\left[\begin{array}{rcc}2 & -1 & 4 \\ 5 & 6 & 7 \\ -5 & 6 & -2\end{array}\right] merupakan matriks persegi - Matriks A berordo .... - Matriks B berordo .... - Jika secara umum ordo matriks m×nm \times n, apa syarat suatu matriks disebut sebagai matriks persegi yang ditentukan berdasarkan ordonya?
Perhatikan matriks persegi berordo n×nn \times n di bawah ini. An×n=[a41a12a13anna21a22a23a2na31a32a3nan1an2an3ann] Diagonal samping matriks AA_{n \times n}=\left[\begin{array}{ccccc} a_{41} & a_{12} & a_{13} & \ldots & a_{n n} \\ a_{21} & a_{22} & a_{23} & & a_{2 n} \\ a_{31} & a_{32} & & \ldots & a_{3 n} \\ \vdots & & \vdots & \ddots & \vdots \\ a_{n 1} & a_{n 2} & a_{n 3} & \ldots & a_{n n} \end{array}\right] \longrightarrow \text { Diagonal samping matriks } A
Dalam matriks persegi, elemen-elemen yang terletak pada garis hubung elemen a 11{ }_{11} dengan elemen ann\mathrm{a}_{n n} disebut dengan diagonal utama matriks, sedangkan elemen-elemen yang terletak pada garis hubung elemen a1na_{1 n} dengan elemen an1a_{n 1} disebut dengan diagonal samping.

See Solution

Problem 2379

2. 3y3 y when y=7y=7

See Solution

Problem 2380

Factor the polynomial. 169x2130x+25169 x^{2}-130 x+25

See Solution

Problem 2381

oblems 343-4, Use a graphing utility to complete the following. A. Find the real zeros, B. State the value of xx where the local maximum or local minimum occurs, and C. Identify each local extreme value of the function. g(x)=0.25x40.25x32.25x2g(x)=0.25 x^{4}-0.25 x^{3}-2.25 x^{2}
4. h(x)=0.25x5+2.5x30.5x2+4h(x)=-0.25 x^{5}+2.5 x^{3}-0.5 x^{2}+4

See Solution

Problem 2382

Expand the expression to a polynomial in standard form: (2x+1)(3x2x+9)(2 x+1)\left(-3 x^{2}-x+9\right)

See Solution

Problem 2383

Homework 1 Directions: Factor each expression complet 1) r216r^{2}-16 3) v225v^{2}-25 5) p24p^{2}-4 7) 9k249 k^{2}-4 9) 3x2273 x^{2}-27 11) 16x23616 x^{2}-36 13) 18a250b218 a^{2}-50 b^{2} 15) a22a+1a^{2}-2 a+1 17) x2+6x+9x^{2}+6 x+9 19) x26x+9x^{2}-6 x+9 21) 25p210p+125 p^{2}-10 p+1 23) 25a2+30ab+9b225 a^{2}+30 a b+9 b^{2} 25) 4a220ab+25b24 a^{2}-20 a b+25 b^{2} 27) 8x224xy+18y28 x^{2}-24 x y+18 y^{2} 29) 8m38-m^{3} 31) x364x^{3}-64 33) 216u3216-u^{3} 35) 125a364125 a^{3}-64 37) 64x3+27y364 x^{3}+27 y^{3} 39) 54x3+250y354 x^{3}+250 y^{3} 41) a481a^{4}-81 43) 16z416-z^{4} 45) x4y4x^{4}-y^{4} 47) m481b4m^{4}-81 b^{4}

See Solution

Problem 2384

14x-\frac{14}{x} when x=2x=-2

See Solution

Problem 2385

Match the function with its name. f(x)=xf(x)=\llbracket x \rrbracket greatest integer function linear function reciprocal function absolute value function identity function

See Solution

Problem 2386

Write the equation g(x)g(x) in vertex form of a quadratic function for the transformations given the function f(x)=x2f(x)=x^{2}. SEE EXAMPLE 5
30. Let g(x)g(x) be the function whose graph is a translation 4 units left and 1 unit up of the graph of f(x)f(x).
31. Let g(x)g(x) be the function whose graph is a reflection in the xx-axis and translated 3 units right of the graph of f(x)f(x).

See Solution

Problem 2387

Evaluate the function for the given values. k(x)=[2x+1]k(x)=[2 x+1] (a) k(13)k\left(\frac{1}{3}\right) \square (b) k(2.1)k(-2.1) \square (c) k(1.1)k(1.1) \square (d) k(23)k\left(\frac{2}{3}\right) \square

See Solution

Problem 2388

Determine the domain and range of each of the following: Use interval notation to express your answer, such as (-inf,inf) or (3,5](-3,5] or [10,10][-10,10] \ldots etc (a) f(x)=4+2xf(x)=4+2 x
Domain:
Range: \square \square (b) f(x)=7+5xf(x)=\sqrt{7+5 x} use only simplified exact answers Domain: \square Range: \square (c) f(x)=21+2x+5f(x)=2 \sqrt{1+2 x}+5 use only simplified exact answers Domain: \square Range: \square

See Solution

Problem 2389

A car travels due east with a speed of 42.0 km/h42.0 \mathrm{~km} / \mathrm{h}. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 74.074.0^{\circ} with the vertical. Find the velocity of the rain with respect to the following reference frames. (a) the car \square km/h\mathrm{km} / \mathrm{h} downward and \square 0 west of vertical (b) the Earth \qquad km/h\mathrm{km} / \mathrm{h} vertically downward.

See Solution

Problem 2390

2. [0/7.69[0 / 7.69 Points ]] DETAILS MY NOTES OSCOLALG2 1.5.051. PREVIOUS ANSWERS ASK YOUR TEACHER
Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains in one of the city's parks. The park is a rectangle 91x2+76x32m291 x^{2}+76 x-32 m^{2}, as shown in the figure below. The length and width of the park are perfect factors of the area. f×w=91x2+76x32f \times w=91 x^{2}+76 x-32
To easily determine the length and the width of the park, factor the area of the park by grouping.

See Solution

Problem 2391

What are mm and bb in the linear equation, using the common meanings of mm and bb ? 1+4x+6x=y1+4 x+6-x=y (A) mm is 3,b3, b is 7 (B) mm is 4,b4, b is 6 (C) mm is 6,b6, b is 4 (D) mm is 7,b7, b is 3

See Solution

Problem 2392

If: 2x+y+z=52x+2y+z=492x+2z=50\begin{array}{l} 2 x+y+z=52 \\ x+2 y+z=49 \\ 2 x+2 z=50 \end{array}
Fhen solve 2x+3y+z=2 x+3 y+z=

See Solution

Problem 2393

Use the formula for continuous compounding to compute the balance in the account after 1,5, and 20 years. Also, find the APY for the account. A $3000\$ 3000 deposit in an account with an APR of 9.5%9.5 \%
The balance in the account after 1 year is approximately $\$ \square (Round to the nearest cent as needed.)

See Solution

Problem 2394

Express the product of (25x2)\left(\frac{2}{5} x-2\right) and (32x35)\left(\frac{3}{2} x-\frac{3}{5}\right) as a trinomial in simplest form.

See Solution

Problem 2395

Agar lebih paham tentang jenis matriks, jodohkanlah soal berikut ini ! [532064]\left[\begin{array}{ccc}5 & 3 & 2 \\ 0 & 6 & -4\end{array}\right] [100010001]\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] [247039005]\left[\begin{array}{ccc}2 & -4 & 7 \\ 0 & 3 & 9 \\ 0 & 0 & -5\end{array}\right] [923]\left[\begin{array}{lll}9 & -2 & 3\end{array}\right] [1234]\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right] [43]\left[\begin{array}{c}4 \\ -3\end{array}\right] 600150243]\left.\left\lvert\, \begin{array}{ccc}6 & 0 & 0 \\ -1 & 5 & 0 \\ 2 & 4 & -3\end{array}\right.\right] [0000]\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right] [200040009]\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 9\end{array}\right] Matriks Baris \square \qquad Matriks Dersegi Danjang Matriks Identitas Matriks Diagonal Matriks Segitiga Atas Matriks Segitiga Bawah Matriks Nol

See Solution

Problem 2396

3a3-a when a=3a=3

See Solution

Problem 2397

Find the quotient of 35y4+40y3-35 y^{4}+40 y^{3} divided by 5y2-5 y^{2}.

See Solution

Problem 2398

3. Consider the function f(x)=2x2+3x1f(x)=2 x^{2}+3 x-1. Determine: a) f(2x)=2(2x)2+3(2x)1f(2-x)=2(2-x)^{2}+3(2-x)-1 b) f(x2)f\left(x^{2}\right)

See Solution

Problem 2399

A number increased by 24 is 89 . Find the number.

See Solution

Problem 2400

How old is Tyrone if twice his age increased by 17 is 53 ?

See Solution
banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord