The cost,C, in dollar to hire landscapers to weed and seed a local park can be modelled by c=60x2 - 60x +900, where x is the number of landscapers hired to do the work how many landscapers should be hired to minimize the cost? What would be the minimum cost? Sketch a graph using the given inf

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The cost,C, in dollar to hire landscapers to weed and seed a local park can be modelled by c=60x- 60x +900, where x is the number of landscapers hired to do the work how many landscapers should be hired to minimize the cost? What would be the minimum cost? Sketch a graph using the given inf

14. Solve.
a. by factoring
7x² +19x-6=0
7x+21X-2X-6=0
7x³² (x + 3) - 2 ( x + 3) = 0
(x+3)x (7x-2)=0
b. by using the quadratic formula
12x² 25x +12 = 0
12x²_9x-16x +12=0
risp srl of snob
b. What is the height of the ball after 1.5 s?
8. You
X+3=0
X = -3
7x-2-0
x = ²/²/1
15. Complete the square and find the vertex of the quadratic relation and the max/min
value.
obsura silt stmW.00
a. y = 2x² +16x + 30
b. y = -3x² +9x - 2
and edit
-
3x² (4x-3) -4(4x-3)=0
(4x-3) x (3x-4)=0
05
S-nos s
их-3=0
3X -4 = 0
16. The path of a ball after it is kicked can be modeled by the equation h = -5t²+25t,
where h is the height in metres of the ball and t is time in seconds.
a. How long is the ball in the air for?
brabost
x =
that
$5
d. Sketch the graph using the information above.
3
प
mo poich
c. What is the maximum height of the ball? When does the ball reach the max. height?
nolisups or to mmol xothov and gri II
svoda riqsip art assory to
mot barojost order b
Transcribed Image Text:14. Solve. a. by factoring 7x² +19x-6=0 7x+21X-2X-6=0 7x³² (x + 3) - 2 ( x + 3) = 0 (x+3)x (7x-2)=0 b. by using the quadratic formula 12x² 25x +12 = 0 12x²_9x-16x +12=0 risp srl of snob b. What is the height of the ball after 1.5 s? 8. You X+3=0 X = -3 7x-2-0 x = ²/²/1 15. Complete the square and find the vertex of the quadratic relation and the max/min value. obsura silt stmW.00 a. y = 2x² +16x + 30 b. y = -3x² +9x - 2 and edit - 3x² (4x-3) -4(4x-3)=0 (4x-3) x (3x-4)=0 05 S-nos s их-3=0 3X -4 = 0 16. The path of a ball after it is kicked can be modeled by the equation h = -5t²+25t, where h is the height in metres of the ball and t is time in seconds. a. How long is the ball in the air for? brabost x = that $5 d. Sketch the graph using the information above. 3 प mo poich c. What is the maximum height of the ball? When does the ball reach the max. height? nolisups or to mmol xothov and gri II svoda riqsip art assory to mot barojost order b
THE CAMINE
Unit 3. Quadratic Relations & Unit 4. Quadratic Equations
9. For the relation on the right, identify
a. the vertex
b. the axis of symmetry
c. the y-intercept
d. the maximum or minimum value
e. the x-intercepts (zeros)
10. Write the equation of the parabola in
question 1 in
a. the vertex form
b. the factored form
bi
c. Convert the vertex form to the standard form babbl ai
Hedge Traper
d. Convert the factored form to the standard form 101 his srl ni led ei
e length of DB.
11. Using the vertex form of the equation, describe the transformations done to the graph
of y=x² to create the graph above.
S2 2.1 hafie lied or to trigle
12. Expand and simplify.
a. (x - 2)(x + 7)
200
X+7X-2 X-14
X75xin
13. Factor the following completely.
a. x² + 8x + 12
x² + 6x + 2x + 12
xx²(x+6) + 2(x+6)
(x+6)x (x+2)
c. 4x² - 8x - 5
2
9x² + 2x-10x-5
2x² (2X+1) -5 (2X +1)
(2X+1) (2x-5)
b. (4x - 5)(x + 9)
4x +36x-5X-45
2
4x² +31x-45
2-
35
bvods nous720
b. 4x² - 81
(2x)²-9²
(2X-9)X(2X+9)
d. 6n² +26n - 20
2 (3n² + 13n-10)
2 (3n² +15n-2n-10)
2 (3nx (4+5)-2 (n+5)}}
2 (n +5)x (3-2)
riqsin erit Abtool2 b
Dane 1 3
Transcribed Image Text:THE CAMINE Unit 3. Quadratic Relations & Unit 4. Quadratic Equations 9. For the relation on the right, identify a. the vertex b. the axis of symmetry c. the y-intercept d. the maximum or minimum value e. the x-intercepts (zeros) 10. Write the equation of the parabola in question 1 in a. the vertex form b. the factored form bi c. Convert the vertex form to the standard form babbl ai Hedge Traper d. Convert the factored form to the standard form 101 his srl ni led ei e length of DB. 11. Using the vertex form of the equation, describe the transformations done to the graph of y=x² to create the graph above. S2 2.1 hafie lied or to trigle 12. Expand and simplify. a. (x - 2)(x + 7) 200 X+7X-2 X-14 X75xin 13. Factor the following completely. a. x² + 8x + 12 x² + 6x + 2x + 12 xx²(x+6) + 2(x+6) (x+6)x (x+2) c. 4x² - 8x - 5 2 9x² + 2x-10x-5 2x² (2X+1) -5 (2X +1) (2X+1) (2x-5) b. (4x - 5)(x + 9) 4x +36x-5X-45 2 4x² +31x-45 2- 35 bvods nous720 b. 4x² - 81 (2x)²-9² (2X-9)X(2X+9) d. 6n² +26n - 20 2 (3n² + 13n-10) 2 (3n² +15n-2n-10) 2 (3nx (4+5)-2 (n+5)}} 2 (n +5)x (3-2) riqsin erit Abtool2 b Dane 1 3
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