1. llustrate "the length of a wire fence for a circular garden is 2 times its radius" as alinear equation in two variables. А. у 32х x-36 B. y = C. y = 300 +x %3D D. y = 500x %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Math question
A. y+2
B.
y+2
D.
y+2
15. Edna was asked to simplify
x+2x-8
Her solution is presented as follows.
What is the factor N?
x+2x-8 AN )(X-2)
x'-4
T72)(x-2)
(N)
(x + 2)
A. x -6
B.x -4
C.x+6
D. x +4
16. Solve forx: = 21
A. x =3
B.x 7
C.x 21
D. x 63
x+3
17. Solve for x:
= 7
x-3
А. 1
18. Car A travels 150 km in the same time that Car B travels 100 km. If Car A
travels 20 km per hour faster than Car B, what is the rate of Car A?
A. 40 km/h
19. Ener asked his two sisters to clean the house. If Rina takes 6 hours to
clean the house and Rose takes 9 hours, how long will it take them to
clean the house together?
A. 15 minutes
B. 3 hours and 36 minutes
20. Find two consecutive integers such that one-third of the first less than
one-half of the second is 2.
A. 3 and 4
В. 2
C. 4
D. 7
B. 60 km/h
C. 80 km/h
D. 100 km/h
C. 6 hours and 9 minutes
D. 7 hours and 30 minutes
C. 69 and 70
D. 99 and 100
B. 9 and 10
LINEAR EQUATIONS IN TWO VARIABLES
DIRECTIONS: Read each item very carefully. Write the letter that corresponds
to your answer
1. llustrate "the length of a wire fence for a circular garden is 2 times its radius"
as alinear equation in two variables.
A. y=2x
B. y = *-36
C. y 300 +x
D. y = 500x
2
2. What is the slope of the line passing through (-1,0) and (3,4)?
А. 4
3. Which equation is the slope-intercept form of 3x + 2y = 12?
В. 1
C. -4
D.-1
A. y =x+6
B. y =x- 6
Answer the following
4. Rewrite 3x +y = 5 in the form y = mx + b.
C.y x-6
D.y =x+6
-3
Transcribed Image Text:A. y+2 B. y+2 D. y+2 15. Edna was asked to simplify x+2x-8 Her solution is presented as follows. What is the factor N? x+2x-8 AN )(X-2) x'-4 T72)(x-2) (N) (x + 2) A. x -6 B.x -4 C.x+6 D. x +4 16. Solve forx: = 21 A. x =3 B.x 7 C.x 21 D. x 63 x+3 17. Solve for x: = 7 x-3 А. 1 18. Car A travels 150 km in the same time that Car B travels 100 km. If Car A travels 20 km per hour faster than Car B, what is the rate of Car A? A. 40 km/h 19. Ener asked his two sisters to clean the house. If Rina takes 6 hours to clean the house and Rose takes 9 hours, how long will it take them to clean the house together? A. 15 minutes B. 3 hours and 36 minutes 20. Find two consecutive integers such that one-third of the first less than one-half of the second is 2. A. 3 and 4 В. 2 C. 4 D. 7 B. 60 km/h C. 80 km/h D. 100 km/h C. 6 hours and 9 minutes D. 7 hours and 30 minutes C. 69 and 70 D. 99 and 100 B. 9 and 10 LINEAR EQUATIONS IN TWO VARIABLES DIRECTIONS: Read each item very carefully. Write the letter that corresponds to your answer 1. llustrate "the length of a wire fence for a circular garden is 2 times its radius" as alinear equation in two variables. A. y=2x B. y = *-36 C. y 300 +x D. y = 500x 2 2. What is the slope of the line passing through (-1,0) and (3,4)? А. 4 3. Which equation is the slope-intercept form of 3x + 2y = 12? В. 1 C. -4 D.-1 A. y =x+6 B. y =x- 6 Answer the following 4. Rewrite 3x +y = 5 in the form y = mx + b. C.y x-6 D.y =x+6 -3
II. The last term should be equal to 1 and should not be omitted.
III. 3xy2 + 2x3 + 1 cannot be factored further
C. I and III
D. I,II and III
A. I and II
15. Which statement is TRUE?
A. The square of the sum of two terms is equivalent to the sum of the
squares of the terms.
B. The GCF of is 4x2 +8x3 is 4x².
C. The product of two binomials is a binomial.
D. All quadratic trinomials are factorable.
16.. If a square pool is to be made a rectangle such that the length is
increased by 6 units and the width is decreased by 6 units, what will
happen to its area? The area will
A. decrease by 36 sq. units
B. increase by 36 sq. units
17. The solution of Miguel in factoring the expression 3x-243 is as follows:
Which statement/s is/are TRUE that helped Miguel to find the factored-
form of the expression?
B. II and IIII
B.
C. decrease by 12 sq units
D. no change in the area
3x* -243= 3(x' -81)
= 3(x² +9)(x² -9)
=3(x² +9)(x +3)(x -3)
I. (x4 -81) is a difference of two squares
II. (x2 +9) is no longer factorable.
III. (x2 - 9) is still factorable.
A. I and II
C. I and III
D. I, II and III
B. II and III
18. The length of a rectangle is 2 more than twice its width. If the area of a
rectangle is 24 m², find its dimensions.
A. 6m by 4m
B. 12m by 2m
19. The product of two consecutive positive even integers is 224. What are
the two integers?
A. 14 and 16
C. 8m by 3m
D. 24m by 1m
C. 20 and 24
B. 16 and 18
D. 24 and 26
20. A cellphone manufacturer discovers that the revenue R in hundreds of
pesos from the sale of x cellphones is given by R(x) = 6x² + x. The cost C, in
hundreds of pesos, of producing x cellphones is given by C(a) = 4x² + 3x +
40. How much will be the revenue if the cellphone manufacturer sells 20
cellphones?
A. Php 17 000
B.
C. Php 170 000
D. Php 252 000
Php 82 000
Transcribed Image Text:II. The last term should be equal to 1 and should not be omitted. III. 3xy2 + 2x3 + 1 cannot be factored further C. I and III D. I,II and III A. I and II 15. Which statement is TRUE? A. The square of the sum of two terms is equivalent to the sum of the squares of the terms. B. The GCF of is 4x2 +8x3 is 4x². C. The product of two binomials is a binomial. D. All quadratic trinomials are factorable. 16.. If a square pool is to be made a rectangle such that the length is increased by 6 units and the width is decreased by 6 units, what will happen to its area? The area will A. decrease by 36 sq. units B. increase by 36 sq. units 17. The solution of Miguel in factoring the expression 3x-243 is as follows: Which statement/s is/are TRUE that helped Miguel to find the factored- form of the expression? B. II and IIII B. C. decrease by 12 sq units D. no change in the area 3x* -243= 3(x' -81) = 3(x² +9)(x² -9) =3(x² +9)(x +3)(x -3) I. (x4 -81) is a difference of two squares II. (x2 +9) is no longer factorable. III. (x2 - 9) is still factorable. A. I and II C. I and III D. I, II and III B. II and III 18. The length of a rectangle is 2 more than twice its width. If the area of a rectangle is 24 m², find its dimensions. A. 6m by 4m B. 12m by 2m 19. The product of two consecutive positive even integers is 224. What are the two integers? A. 14 and 16 C. 8m by 3m D. 24m by 1m C. 20 and 24 B. 16 and 18 D. 24 and 26 20. A cellphone manufacturer discovers that the revenue R in hundreds of pesos from the sale of x cellphones is given by R(x) = 6x² + x. The cost C, in hundreds of pesos, of producing x cellphones is given by C(a) = 4x² + 3x + 40. How much will be the revenue if the cellphone manufacturer sells 20 cellphones? A. Php 17 000 B. C. Php 170 000 D. Php 252 000 Php 82 000
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fractions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,