Algebra

Problem 1801

Lames plas on a basketball heam his team scores 114 points in the first game and 10.1 points in the second game. In mo games, he scored ??\frac{?}{?} of the total number of points his leam scored What thas the total number of point James scored in these nvo games?

See Solution

Problem 1802

Exponential Growth A=Pert A=\mathrm{Pe}^{\text {rt }} Population of city Santa Clava in 2003 was 98,000 Population now of Santa Clara in 2022 was 131,886 Based on these numbers and exponelitial growth, estimate the population of Santa Clara in 2050

See Solution

Problem 1803

First National Bank will not charge a service fee if there is at least $500\$ 500 in the account. On Nondoy, a client's balance was $612.35\$ 612.35 and they withdrew $30\$ 30. a. Buld an inequality to represent the scenario above. b. Solve the inequality. c. What does the solytion mean in context of the probliem?

See Solution

Problem 1804

(164)24+433:431=(\sqrt{16}-\sqrt{4}) \cdot 2^{4}+4^{33}: 4^{31}=

See Solution

Problem 1805

Angel has $90\$ 90 to buy soccer uniforms. Each jersey costs $15\$ 15 and each pair of shorts costs $12\$ 12 Part A Write an inequality to represent the number of jerseys xx and the number of pairs of shorts yy Angel can buy: \qquad

See Solution

Problem 1806

An expression is shown. (2.7)2(2.7)3(2.7)1(2.7)4\frac{(2.7)^{-2} \cdot(2.7)^{3}}{(2.7)^{1} \cdot(2.7)^{-4}}
Apply the Laws of what Exponents to determine the value of the expression.
The value of the expression is

See Solution

Problem 1807

5. (2x2y)5\left(2 x^{2} y\right)^{5}

See Solution

Problem 1808

y=2x2x+7y=\frac{2 x}{2 x+7} Oive the domains of the Jollowing function

See Solution

Problem 1809

1) 9(57)3v9v-9(-5-7)-3 v-9 v

See Solution

Problem 1810

A line passes through the points (1,2)(1,2) and (5,10)(5,10). Find its gradient.

See Solution

Problem 1811

Find the values of xx that satisfy the inequalities. (Enter your answer using interval notation.) x+1>6 or x+4<1x+1>6 \text { or } x+4<-1

See Solution

Problem 1812

Solve the Absolute Value Equation T2ES1
Solve each equation. 1) x3=5|x-3|=5 2) x+7=2|x+7|=2 3) 23x=1\left|\frac{2}{3}-x\right|=1
Solution == Solution == Solution ==

See Solution

Problem 1813

9. (12a3b4c5)3\left(\frac{1}{2} a^{3} b^{4} c^{5}\right)^{3}

See Solution

Problem 1814

A line passes through the points (1,2)(1,2) and (5,10)(5,10). Find its gradient.

See Solution

Problem 1815

Simplify the expression. (4x1)(5)(5x+1)(4)(4x1)2\frac{(4 x-1)(5)-(5 x+1)(4)}{(4 x-1)^{2}}

See Solution

Problem 1816

5) x+9=3|-x+9|=3
Solution ==

See Solution

Problem 1817

6. x20y9z2x5y9z\frac{x^{20} y^{9} z^{2}}{x^{5} y^{9} z}

See Solution

Problem 1818

Solve for yy. 4+3y=104+3 y=10
Simplify your answer as much as possible. y=y= \square

See Solution

Problem 1819

Find the real roots of the equation by factorin x2+x56=0x^{2}+x-56=0

See Solution

Problem 1820

Solve for yy. 2(3y+7)=682(3 y+7)=68
Simplify your answer as much as possible. y=y=

See Solution

Problem 1821

Solve for xx 3x+144=2\frac{3 x+14}{4}=2
Simplify your answer as much as possible. x=x= \square

See Solution

Problem 1822

Factor the expression completely. x23x18x^{2}-3 x-18

See Solution

Problem 1823

Perform the indicated operations and simplify the expression. (6x21)(5x2)+(x2+3)(2x)\left(6 x^{2}-1\right)\left(5 x^{2}\right)+\left(x^{2}+3\right)(2 x)

See Solution

Problem 1824

(6x21)(6x2)+(x2+3)(2x)\left(6 x^{2}-1\right)\left(6 x^{2}\right)+\left(x^{2}+3\right)(2 x)

See Solution

Problem 1825

fewrite the expression using positive exponents anily. (Simplify your answer completel x349x5\sqrt{x^{-3}} \cdot \sqrt{49 x^{-5}}

See Solution

Problem 1826

Evaluate the following exponential expression. (8)2(8)2=\begin{array}{c} (-8)^{2} \\ (-8)^{2}= \end{array} \square

See Solution

Problem 1827

 (ক) গসাগু निর্ণয় করো  5. a2b2c2,6ab2c2 2. 10ab2x2,15a2by2a2x2,6axy2,9ay216a3x4y,40a2y2x,28ax3a2+ab,a2b2,(a+b)2x3yxy3,x(xy)2(a2+10a+25),(a2+25)a(a+b),a(a2b2),a2(ab)(a2),(a24),(a2a2)3a2+27a,a2(a+9),a3(a+9)\begin{array}{l} \text { (ক) গসাগু निর্ণয় করো } \\ \text { 5. } a^{2} b^{2} c^{2}, 6 a b^{2} c^{2} \\ \text { 2. } 10 a b^{2} x^{2}, 15 a^{2} b y^{2} \\ a^{2} x^{2}, 6 a x y^{2}, 9 a y^{2} \\ 16 a^{3} x^{4} y, 40 a^{2} y^{2} x, 28 a x^{3} \\ a^{2}+a b, a^{2}-b^{2},(a+b)^{2} \\ x^{3} y-x y^{3}, x(x-y)^{2} \\ \left(a^{2}+10 a+25\right),\left(a^{2}+25\right) \\ a(a+b), a\left(a^{2}-b^{2}\right), a^{2}(a-b) \\ (a-2),\left(a^{2}-4\right),\left(a^{2}-a-2\right) \\ 3 a^{2}+27 a, a^{2}(a+9), a^{3}(a+9) \end{array}

See Solution

Problem 1828

9. Write each of the following into a single logarithm with a coefficient of one. (a) 7lnt6lns+5lnw7 \ln t-6 \ln s+5 \ln w

See Solution

Problem 1829

1. Find the 11 th term of the geometric sequence. 17,17,17,-17,-17,-17, \ldots
3. Find the 10 th term of the geometric sequence. 17,34,68,17,34,68, \ldots
5. Find the 8 th term of the geometric sequence. 11,33,99,11,33,99, \ldots
7. Find the 12 th term of the geometric sequence. 16,32,64,-16,-32,-64, \ldots
2. Find the 11th term of the geometric sequence. 15,45,135,-15,45,-135, \ldots
4. Find the 8 th term of the geometric sequence. 1,2,4,-1,-2,-4, \ldots
6. Find the 8 th term of the geometric sequence. 1,2,4,1,-2,4, \ldots
8. Find the 7 th term of the geometric sequence. 10,20,40,-10,20,-40, \ldots

See Solution

Problem 1830

AA और CC मिलकर एक काम को जितने समरा नें खत्म करते हैं B उसके तीन गुने समय में काम को समाप्त करता है तथा AA और BB मिलकर काम को जितने समय में करते हैं, C उसके दो गुने समय में काम खत्म करता है। तीनों मिलकर काम को 10 दिनों में समाप्त करते हैं, तो AA काम को कितने दिनों में समाप्त करेगा ?

See Solution

Problem 1831

(a) It is given that M=(3927)M=\left(\begin{array}{ll}3 & 9 \\ 2 & 7\end{array}\right) and N=(5146)N=\left(\begin{array}{ll}5 & -1 \\ 4 & -6\end{array}\right). (i) Find M1M^{-1}, the inverse of Matrix MM
Answer: (i) (ii) Find matrix PP such that 2P+N=(7344)2 P+N=\left(\begin{array}{cc}7 & 3 \\ 4 & -4\end{array}\right).

See Solution

Problem 1832

AA और CC मिलकर एक काम को जितने समार नें खत्म करते हैं BB उसके तीन गुने समय में काम को समाप्त करता है तथा AA और BB मिलकर काम को जितने समय में करते हैं, CC उसके दो गुने समय में काम खत्म करता है। तीनों मिलकर काम को 10 दिनों में समाप्त करते हैं, तो AA काम को कितने दिनों में समाप्त करेगा ?

See Solution

Problem 1833

Set C - 1.) 15 h2h32 h15 \mathrm{~h}^{2} \cdot \mathrm{h}^{3} \cdot 2 \mathrm{~h} - 2.) x4y3xy2\frac{x^{4} y^{3}}{x y^{2}} - 3.) (3cd2cd2)2\left(\frac{3 c d}{2 c d^{2}}\right)^{2}

See Solution

Problem 1834

Set D 1.) 27y8z10(9r5z)2\frac{-27 y^{8} z^{10}}{\left(-9 r^{5} z\right)^{2}} 2.) (6y3y5)2\left(\frac{6 y^{3}}{y^{5}}\right)^{2} 3.) 5y42y43y35 y^{4} \cdot-2 y^{4} \cdot 3 y^{3}

See Solution

Problem 1835

Graph the polynomial function f(x)=x2(x+5)f(x)=x^{2}(x+5) using parts (a) through (e).
The lesser zero of the function is of multiplicity \square , so the graph of ff \square the xx-axis at x=x= \square . The greater zero of the function is of multiplicity \square , so the graph of ff \square the xx-axis at x=x= \square .

See Solution

Problem 1836

Set FF 1.) ab4c3a4b7c2\frac{a b^{4} c^{3}}{a^{4} b^{7} c^{2}} 2.) 3m3m52m-3 m^{3} \cdot m^{5} \cdot 2 m 3.) (5n44n2)2\left(\frac{5 n^{4}}{4 n^{2}}\right)^{2}

See Solution

Problem 1837

Solve the following inequality. 5[5m(m+8)]>4(m1)5[5 m-(m+8)]>-4(m-1)
Select the correct choice below and fill in the answer box to' complete your choice. A. The solution set is {mm>\{m \mid m> \square B. The solution set is {mm\{m \mid m \leq \square C. The solution set is {m/m\{\mathrm{m} / \mathrm{m} \geq \square \}. D. The solution set is {m/m<\{\mathrm{m} / \mathrm{m}< \square \}.

See Solution

Problem 1838

5. Which function changes at a greater rate as xx D5. Show wark increases? As xx increases, they change at the same rate. f(x)f(x) g(x)g(x)
Select the statement that best describes why the function is increasing faster. As xx increases, at some point, the graph of g(x)g(x) is continually steeper than f(x)f(x). As xx increases, at some point, the graph of f(x)f(x) is continually steeper than g(x)g(x). The yy-intercept of g(x)g(x) is greater than the yy-intercept of f(x)f(x) The yy-intercept of f(x)f(x) is greater than the yy-intercept of g(x)g(x) None of these statements explains why one of

See Solution

Problem 1839

A virus is thought to spread through a chicken farm according to the equation N=8001+790e0,1tN \cdot=\frac{800}{1+790 e^{-0,1 t}} where N\mathbb{N} is the number of infected chicken and tt is in days. How many chickens are infected at time t=0?t=0 ? A. 1 chicken B. 800 chickens C. 0 chickens D. NONE of the above

See Solution

Problem 1840

r(x)=2xs(x)=x\begin{array}{l} r(x)=2 \sqrt{x} \\ s(x)=\sqrt{x} \end{array} (rs)(3)=\left(\frac{r}{s}\right)(3)=

See Solution

Problem 1841

Fri Sep 6 student.ex.edgenuity.com Algebra II Function Operations 54:27 If f (x) = 4-² and g(x) = 6x, which expression is equivalent to (g- f) (3)? 6-3-(4+3) 6-3-(4-32) 6(3)-4+32 6(3)-4-32 F 40% uiz Mark And Return 7 of 10 Save & Exit

See Solution

Problem 1842

EJERCICIO 1: Un tubo de acero que está empotrado en la parte superior soporta una carga de PA =22300Lb=22300 \mathrm{Lb}, la cual está distribuida de manera uniforme alrededor de un casquete circular que se encuentra en la parte superior del tubo mas bajo (tubo inferior). En la parte inferior se aplica una carga PB. los diámetros asociados al tubo superior son: d1=2\mathrm{d} 1=2 pulg (diámetro interno), dz=2.375d z=2.375 Pulg (diámetro externo). la longitud del tubo superior es: L=14L=14 in (Pulgadas).
Los diámetros asociados al tubo inferior son: d3=2.25\mathrm{d} 3=2.25 pulg (diámetro interno), d4=2.5d 4=2.5 Pulg (diámetro externo). la longitud del tubo inferior es: L2 =16=16 in (Pulgadas).
NOTA 1: Omitir el peso propio de los tubos. NOTA 2: Escriba el procedimiento y ecuaciones usadas para obtener la respuesta. a) ¿El cilindro de acero superior está soportando un esfuerzo de que tipo? Explique b) ¿El cilindro de acero inferior está soportando un esfuerzo de que tipo? Explique c) ¿Si se retira la carga o fuerza PB, el cilindro inferior que tipo de esfuerzo está soportando? Explique d) Encuentre el valor de la carga o fuerza PB tal que el esfuerzo en la parte superior sea de 25000 psi. e) ¿Cuál o que valor tiene el esfuerzo resultante en la parte inferior? f) Si la carga PA permanece constante, encuentre el nuevo valor de PB de manera que las partes superior e inferior estén sometidas al mismo esfuerzo de tensión. g) Del numeral anterior comente en que magnitud la fuerza se aumenta con respecto a PA. h) Calcule las deformaciones unitarias por tracción correspondientes a los segmentos superior e inferior del tubo para las cargas del numeral f) si se conoce que el alargamiento de segmento superior del tubo es de 0.168 pulg. YY el desplazamiento hacia debajo de la parte inferior del tubo es de 0.420 pulg.

See Solution

Problem 1843

EXERCISES
1. Draw the graphs of the functions with the function values as given : (i) f(x)={1, when x01, when x>0f(x)=\left\{\begin{array}{rr}1, & \text { when } x \leq 0 \\ -1, & \text { when } x>0\end{array}\right. (ii) f(x)={x, when 0x<121x, when 12x1f(x)=\left\{\begin{aligned} x, & \text { when } 0 \leq x<\frac{1}{2} \\ 1-x, & \text { when } \frac{1}{2} \leq x \leq 1\end{aligned}\right. (iii) f(x)={x, when 0x122x, when 12<x<1f(x)=\left\{\begin{aligned} x, & \text { when } 0 \leq x \leq \frac{1}{2} \\ 2-x, & \text { when } \frac{1}{2}<x<1\end{aligned}\right. (iv) f(x)={x, when 0x<121, when x=121x, when 12<x<1f(x)=\left\{\begin{aligned} x, & \text { when } 0 \leq x<\frac{1}{2} \\ 1, & \text { when } x=\frac{1}{2} \\ 1-x, & \text { when } \frac{1}{2}<x<1\end{aligned}\right. (v) f(x)={x2, when x0x, when x>0f(x)=\left\{\begin{array}{ll}x^{2}, & \text { when } x \leq 0 \\ \sqrt{x}, & \text { when } x>0\end{array}\right. (vi) f(x)={1/x, when x<00, when x=01/x, when x>0f(x)=\left\{\begin{array}{rr}1 / x, & \text { when } x<0 \\ 0, & \text { when } x=0 \\ -1 / x, & \text { when } x>0\end{array}\right.

See Solution

Problem 1844

485n=13-4|8-5 n|=13

See Solution

Problem 1845

Se define I(q)=7q211q+3\boldsymbol{I}(q)=7 q^{2}-11 q+3 como el ingreso de un producto y C(q)=7q+8\boldsymbol{C}(\boldsymbol{q})=7 q+8 como el costo de producirlo. a. Determine la utilidad del producto U(q)U(q) b. Calcule C(3)I(3)U(8)I(30)U(20)C(10)\cdot C(3) \cdot I(3) \cdot U(8) \cdot I(30) \cdot U(20) \cdot C(10) c. Determine los valores de q tales que U(q)=40U(q)=40 d. En que momento el ingreso es cero

See Solution

Problem 1846

Luke is driving home from work. Let D(t)D(t) stand for Luke's remaining distance to drive DD (measured in Miles) after tt minutes of driving. What does D(0)=10D(0)=10 mean?

See Solution

Problem 1847

Question \#2: Consider the following algebraic expression and answer the questions: x23y2+4x5y+3(x+y)2x^{2}-3 y^{2}+4 x-5 y+3(x+y)-2 1) How many terms are there in the expression above? \qquad 2) What is the coefficient of y2y^{2} ? \qquad 3) What is the coefficient of yy ? \qquad 4) What is the constant term? \qquad 5) Evaluate the expression when x=1,y=1x=-1, y=1

See Solution

Problem 1848

Question \#2: Consider the following algebraic expression and answer the questions: x23y2+4x5y+3(x+y)2x^{2}-3 y^{2}+4 x-5 y+3(x+y)-2 1) How many terms are there in the expression above? \qquad 2) What is the coefficient of y2y^{2} ? \qquad 3) What is the coefficient of yy ? \qquad 4) What is the constant term? \qquad 5) Evaluate the expression when x=1,y=1x=-1, y=1

See Solution

Problem 1849

What is the first step when solving the equation below for xx ? 4x0.2=1.94 x-0.2=1.9

See Solution

Problem 1850

Elaine can complete a landscaping project in 12 hours with the help of either her husband Brian or both her two daughters. If Brian and one of his daughters work together, it would take them 24 hours to complete the project. Assuming the rate of work is constant for each person, and the two daughters work at the same rate, how long would it take Elaine, Brian, and one of their daughters to complete the project?
Working all together, Elaine, Brian, and one of their daughters can do thes job in 8 hours. (Type an integer or a simplified fraction.)

See Solution

Problem 1851

Use PMT == MT=P(rn)1(1+rn)nttoM T=\frac{P\left(\frac{r}{n}\right)}{1-\left(1+\frac{r}{n}\right)^{-n t}} t o to determine the regular payment amount, rounded to the nearest dollar. Your credit card has a balance of $6200\$ 6200 and an annual interest rate of 17%17 \%. With no further purchases charged to the card and the balance being paid off over three years, the monthly payment is $221\$ 221, and the total interest paid is $1756\$ 1756. You can get a bank loan at 9.5%9.5 \% with a term of four years. Complete parts (a) and (b) below. a. now mucn will you pay eacn monun now aves unis compare win tne crealt-cara payment eacn montn select me correct choice below and fill in the answer boxes to complete your choice. (Do not round until the final answer. Then round to the nearest dollar as needed.) A. The monthly payments for the bank loan are approximately $156\$ 156. This is $65\$ 65 less than the monthly credit-card payments. B. The monthly payments for the bank loan are approximately $\$. This is $\$ more than the monthly credit-card payments. b. How much total interest will you pay? How thes compare with the total credit-card interest? Select the correct choice below and fill in the answer boxes to complete your choice. (Use the answer from part a to find this answer. Round to the nearest dollar as needed.) A. The total interest paid over 4 years for the bank loan is approximately $\$ \qquad This is $\$ \qquad more than the total credit-card interest. B. The total interest paid over 4 years for the bank loan is approximately $\$ \qquad ]. This is $\$ \square less than the total credit-card interest.

See Solution

Problem 1852

Escriba la ecuación de la línea en forma pendiente-intersección totalmente simplificada.

See Solution

Problem 1853

x5=2x-5=-2

See Solution

Problem 1854

Graph the equation by plotting points. y=6x9y=6 x-9
Use the graphing tool on the right to graph the equation. Click to enlarge graph

See Solution

Problem 1855

Question 10 The 2-digit numbers 2A, B9, CD, E3 \qquad are in AP, such that the sum of 2A2 A and E3E 3 is 90 . Find the sum of the NN terms of this series, where N=A+B+C+D+EN=A+B+C+D+E. (Note that A,B,C,DA, B, C, D, and EE represent single-digit natural numbers) Marks:3.0 Negative Marks: 1

See Solution

Problem 1856

6) 36{ }^{\text {N }} 36 Rosie spent 57.70 on 10 p and 20 p stamps. She bought nine times as many IOp stamps as 20 p stamps. How many of each stamp did she buy?

See Solution

Problem 1857

Factor completely. If the polynomial cannot be factored, say so. 6x2+27x+126 x^{2}+27 x+12
Select the correct choice below and, if necessary, fill in the answer box to complete A. 6x2+27x+12=6 x^{2}+27 x+12= \square B. The polynomial cannot be factored.

See Solution

Problem 1858

Find the domain of the function. f(x)=x29f(x)=x^{2}-9

See Solution

Problem 1859

A shop has the same price for a particular kind of cloth. One day, two customers came to the shop. The first customer bought 4 shirts and 2 pants, and he got a discount worth two handkerchiefs. The second customer bought 2 shirts and 4 pants, and he got a discount worth four handkerchiefs. Both customers paid the same amount. If the difference between the price of 6 pants and 6 shirts is Rs.120, find the price (in rupees) of one handkerchief.
Marks:3.0 Negative Marks 0.0

See Solution

Problem 1860

5) If n=2(n+2)(n+1)anxn1+n=1(n+1)aen+1xn+1=0\sum_{n=2}^{\infty}(n+2)(n+1) a_{n} x^{n-1}+\sum_{n=1}^{\infty}(n+1) a_{e^{n+1}} x^{n+1}=0, then a) an+1=an1(n+3),n2a_{n+1}=\frac{-a_{n-1}}{(n+3)}, n \geq 2 c) an+1=nan1(n+3)(n+2),n2a_{n+1}=\frac{-n a_{n-1}}{(n+3)(n+2)}, n \geq 2 b) an+1=an1(n1),n2a_{n+1}=\frac{-a_{n-1}}{(n-1)}, n \geq 2 d) an+1=an1(n+3),n2a_{n+1}=\frac{-a_{n-1}}{(n+3)}, n \geq 2

See Solution

Problem 1861

7) For every one sweot 1 eat you cat three. We both ate a total of 32 sweets. How many sweets did I eat?

See Solution

Problem 1862

a) tu(t)+u(t4)t u(t)+u(t-4) b) fu(c4)u(c)f u(c-4)-u(c) d) u(t)+ru(t4)u(t)+r u(t-4) 10) Suppose that the following information has been obrained about the coefficients ana_{n} of the power seri) solution to a DE about the ordinary point x0=3:x_{0}=3: a2=a0a1,a3=a0+a1,a4=2aaa2a_{2}=a_{0}-a_{1} \quad, a_{3}=a_{0}+a_{1}, a_{4}=2 a_{a}-a_{2} The series solution corresponds to a0=2,a1=1a_{0}=2, a_{1}=1 is a) 2(x3)+(x3)2(x3)3+2-(x-3)+(x-3)^{2}-(x-3)^{3}+\cdots c) 2(x3)+(x3)2+3(x3)3+32-(x-3)+(x-3)^{2}+3(x-3)^{3}+3 b) 2+(x3)+(x3)2+3(x3)3+2+(x-3)+(x-3)^{2}+3(x-3)^{3}+ d) 2+(x3)+(x3)2+(x3)3+2+(x-3)+(-x-3)^{2}+(x-3)^{3}+\cdots

See Solution

Problem 1863

Solve for all values of xx by factoring. x22x5=5x^{2}-2 x-5=-5

See Solution

Problem 1864

If f(x)=x+1f(x)=x+1 and g(x)=x1g(x)=x-1, (a) f(g(x))=f(g(x))= \square (b) g(f(x))=g(f(x))= \square (c) Thus g(x)g(x) is called an \square function of f(x)f(x) Question Help: Video

See Solution

Problem 1865

(a) (2x23x+6)+(33xx2)\left(2 x^{2}-3 x+6\right)+\left(3-3 x-x^{2}\right)

See Solution

Problem 1866

Suppose f(x)=8xf(x)=8^{x}. a) What is the domain of f1(x)f^{-1}(x) ? Enter your answer using interval notation. 1 [] U \infty π\pi aa^{\circ} aba^{b} a\sqrt{a} \square sin\sin \square Previev Invalid Inpu b) What is the range of f1(x)f^{-1}(x) ? Enter your answer using interval notation.

See Solution

Problem 1867

5. 4x215=854 x^{2}-15=85

See Solution

Problem 1868

(c) (3x24x+4)(x24)\left(3 x^{2}-4 x+4\right)-\left(x^{2}-4\right)

See Solution

Problem 1869

Using the graph of the function f(x)f(x) seen below, find f1(1)f^{-1}(1). f1(1)=f^{-1}(1)=

See Solution

Problem 1870

Factor completely: f(m)=5m2+31m72f(m)=5 m^{2}+31 m-72

See Solution

Problem 1871

61 N. From the tables of values that appear next, mark with x\boldsymbol{x} those that repre- \begin{tabular}{|c|c|} \hline of proportional \\ \hlineTT & dd \\ \hline 0 & 0 \\ \hline 1 & 3 \\ \hline 2 & 6 \\ \hline 3 & 9 \\ \hline 4 & 12 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hlineFF & PP \\ \hline 10 & 101 \\ \hline 20 & 201 \\ \hline 30 & 301 \\ \hline 40 & 401 \\ \hline 50 & 501 \\ \hline \end{tabular} v. Graph the linear function f(x)=5x6f(x)=5 x-6, from its slope and its intercept. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & \mid & \mid & \mid \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
Given the function f(x)=2x+x2f(x)=2 x+x^{2}, draw its graph to indicate the intersections with the axes, the coordinate of the vertex and the maximum or minimum value of the ordinate.
Intersection with the xx-axis: \qquad Intersection with the yy-axis: \qquad
Intersection with the yy-axis: \qquad
Minimum or maximum value of the ordinate: \qquad
Equation of the axis of symmetry: \qquad

See Solution

Problem 1872

The graphs of ff and gg are shown. Evaluate the function at the given values of xx, if possible. Write your answers as integers or simplified fractions. Select "Undefined" if applicable.
Part 1 of 7 (f+g)(4)(f+g)(4) is \square . Undefined

See Solution

Problem 1873

In problems 6 and 7: {f(x)=(x3)2g(x)=4x2+2x82h(x)=18x+14\left\{\begin{array}{c} f(x)=(x-3)^{2} \\ g(x)=4 x^{2}+2 x-82 \\ h(x)=18 x+14 \end{array}\right.
Find h(h(1/2k/3))h(h(1 / 2-k / 3))

See Solution

Problem 1874

and Graphs in of each of the following functions as an interval (or union of intervals) and intercepts for ff and gg f(x)=xx216D1(,4)(4,)g(x)=7x51,h(x)=3xx2+7x+103]10,3\begin{array}{c} f(x)=\frac{x}{x^{2}-16} D_{1}^{\prime}(-\infty, 4) \cup(4, \infty) \\ g(x)=\sqrt{\frac{7}{x-5}} \int_{1}^{\prime}, \infty \\ \left.h(x)=\frac{\sqrt{3-x}}{\sqrt[3]{x^{2}+7 x+10}}\right]_{1}^{0}-\infty, 3 \end{array}

See Solution

Problem 1875

Skill Practice 3 Write an equation of the line passing through the point (3,2)(-3,2) and parallel to the line defined by x+3y=6x+3 y=6. Write the answer in slope-intercept form and in standard form. Answer y=13x+1;x+3y=3y=-\frac{1}{3} x+1 ; x+3 y=3

See Solution

Problem 1876

After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. Suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is 0.3mg/mL0.3 \mathrm{mg} / \mathrm{mL}. (a) Find an exponential decay model for your BAC tt hours after midnight. C(t)=C(t)= \square (b) Graph your BAC and use the graph to determine when you can drive home if the legal limit is 0.08mg/mL0.08 \mathrm{mg} / \mathrm{mL}. (Round your answer to one decimal place.) \qquad hr

See Solution

Problem 1877

DO YOU KNOW HOW?
4. Using the graph, what is the solution to x2+31-x^{2}+3 \geq-1 ? How can you tell? the solution is 2<x<2-2<x<2

CHECK ANSWER

See Solution

Problem 1878

First find f+g,fg,fgf+g, f-g, f g, and fg\frac{f}{g}. Then determine the domain for each function. f(x)=x+8;g(x)=x1f(x)=\sqrt{x+8} ; g(x)=\sqrt{x-1}

See Solution

Problem 1879

The function f(x)=2x321x2+36x+2f(x)=2 x^{3}-21 x^{2}+36 x+2 has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema.
This function has a local minimum at x=x= \square with output value \square and a local maximum at x=x= \square with output value \square \qquad Hint: Adjust the Interval (Points A and B) to focus the attention around where you think the local max and local min will be. \qquad

See Solution

Problem 1880

For f(x)=x+1f(x)=x+1 and g(x)=5x+3g(x)=5 x+3, find the following functions. a. (fg)(x);b.(gf)(x);(f \circ g)(x) ; b .(g \circ f)(x) ; c. (fg)(1);d.(gf)(1)(f \circ g)(1) ; d .(g \circ f)(1) a. (fg)(x)=(f \circ g)(x)= \square (Simplify your answer.)

See Solution

Problem 1881

For f(x)=2x4f(x)=2 x-4 and g(x)=2x21g(x)=2 x^{2}-1, find the following functions. a. (fg)(x);b(gf)(x);c(fg)(1);d.(gf)(1)(f \circ g)(x) ; b \cdot(g \circ f)(x) ; c \cdot(f \circ g)(-1) ; d .(g \circ f)(-1) a. (fg)(x)=(f \circ g)(x)= \square (Simplify your answer.)

See Solution

Problem 1882

Express the given function hh as a composition of two functions ff and gg so that h(x)=(fg)(x)h(x)=(f \circ g)(x), where one of the functions is x36x^{3}-6. h(x)=x364h(x)=\sqrt[4]{x^{3}-6} f(x)=f(x)= \square (Simplify your answer.)

See Solution

Problem 1883

Suppose that 6<x<76<x<7 and 10<y<1210<y<12. Find all possible values of each expression. x+y<x+y<\begin{array}{l} x+y \\ \square<x+y<\square \end{array}

See Solution

Problem 1884

芝麻的出油率约为 45%45 \% ,豌豆芝麻厂椎出 675 kg 芝麻油,用了 \square kg芝麻。

See Solution

Problem 1885

Let f(x)=3x2+7f(x)=3 x^{2}+7 and g(x)=49xg(x)=4-9 x. Find (fg)(x)=f(x)g(x)(f g)(x)=f(x) g(x). (fg)(x)=27x363x(f g)(x)=-27 x^{3}-63 x (fg)(x)=27x363x+28(f g)(x)=-27 x^{3}-63 x+28 (fg)(x)=27x3+12x263x+28(f g)(x)=-27 x^{3}+12 x^{2}-63 x+28 (fg)(x)=3x29x+28(f g)(x)=3 x^{2}-9 x+28

See Solution

Problem 1886

Suppose that 6<x<76<x<7 and 10<y<1210<y<12. Find all possible values of each expression. xyx y <xy<\square<x y<\square

See Solution

Problem 1887

5. Write a mathematical statement that is true but whose converse is false.

See Solution

Problem 1888

Solve the following inequality and graph the solution set. 4x912|4 x-9| \leq 12
Select the correct choice below ahs, if complete your choice. A. The solution set is \square (Type your answer in interval nota integers or fractions for any numbe B. The solution set is \varnothing.

See Solution

Problem 1889

The Remainder Theorem states the following for any polynomial f(x)f(x) : f(x)(xa)=q(x)+f(a)(xa)\frac{f(x)}{(x-a)}=q(x)+\frac{f(a)}{(x-a)}
Suppose (xb)(x-b) is a factor of f(x)f(x). Then f(b)f(b) is \square Suppose f(x)f(x) is divided by (xd)(x-d). Then the remainder is f(d)08f(d) \vee 0^{8}

See Solution

Problem 1890

Solve the following inequality. 5[5m(m+8)]>4(m1)5[5 m-(m+8)]>-4(m-1)
Select the correct choice below and fill in the answer box to complete your choice. A. The solution set is {mm>116}\left\{m \left\lvert\, m>\frac{11}{6}\right.\right\}.
8. The solution set is {mm\{m \mid m \leq \square c. The solution set is {mm\{m \mid m \geq \square D. The solution set is {mm<}\{m \mid m<\}.

See Solution

Problem 1891

You are choosing between two plans at a discount warehouse. Plan A offers an annual membership of $90\$ 90 and you pay 40%40 \% of the manufacturer's recommended list price. Plan B offers an annual membership fee of $40\$ 40 and you pay 60%60 \% of the mánufacturer's list price. a. Express the total yearly amount paid to the warehouse under plan A,fA, f, as a function of the dollars of merchandise purchased during the year, xx. f(x)=90+0.40xf(x)=90+0.40 x (Use integers or decimals for any numbers in the expression.) b. Express the total yearly amount paid to the warehouse under plan B, gg, as a function of the dollars of merchandise purchased during the year, xx. g(x)=g(x)= \square (Use integers or decimals for any numbers in the expression.)

See Solution

Problem 1892

Solve the following inequality 5[5m(m+8)]>4(m1)5[5 m-(m+8)]>-4(m-1)
Select the correct choice below and fill in the answer box to complete your choice. A. The solution set is {mm>116}\left\{m \left\lvert\, m>\frac{11}{6}\right.\right\} B. The solution set is {m/m\{\mathrm{m} / \mathrm{m} \leq \} C. The solution set is {mm\{m \mid m \geq \square D. The solution set is {m/m<}\{\mathrm{m} / \mathrm{m}<\}.

See Solution

Problem 1893

Solve for uu. 12u67=45-\frac{1}{2} u-\frac{6}{7}=-\frac{4}{5}
Simplify your answer as much as possible.

See Solution

Problem 1894

Evaluate the following expression at the values xˉ=107.2,μ=103,σ=0.91\bar{x}=107.2, \mu=103, \sigma=0.91, and n=161n=161 xˉμσn\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}
Enter your answer as a decimal rounded to four decimal places. \square

See Solution

Problem 1895

Policies Evaluate the following expression at the values p=0.44,E=0.01p=0.44, E=0.01, and z=1.96z=1.96 p(1p)(zE)2p(1-p)\left(\frac{z}{E}\right)^{2}
Enter your answer as a decimal rounded to four decimal places. \square 1 pts

See Solution

Problem 1896

The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t)=5cos(9t)y(t)=5 \cos (9 t), where yy is the displacement in centimeters and tt is the time in seconds. Find the displacement when t=0,t=14t=0, t=\frac{1}{4}, and t=i2t=\frac{i}{2}. (Round your answers to two decimal places.) (a) t=0t=0 \qquad cm (b) t=14t=\frac{1}{4}

See Solution

Problem 1897

Current Attempt in Progress Are the two functions r(x)=2(x4)+10r(x)=2(x-4)+10 and s(x)=2x2s(x)=2 x-2 the same function?

See Solution

Problem 1898

10 Write a system of equations which represents the real world problem. (a) The sum of two numbers is 24 and their difference is 2 . \square \square (b) Solve the system of equations. x=x= \square .y=. y= \square

See Solution

Problem 1899

A farm planted with AA acres of corn yields bb bushels per acre. Each bushel brings $p\$ p at market, and it costs $c\$ c to plant and harvest an acre of corn. What do the expressions cAc A and pbp b represent for the farm? cAc A is \square pbp b is \square

See Solution

Problem 1900

Write an expression for the quantity desired. Five less than twice the radius, rr.

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