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Jet001 [13]
3 years ago
7

Is this function one-to-one? How do you know?

Mathematics
1 answer:
Ksju [112]3 years ago
3 0

For each value of x ( the domain) there is only one value for the function ( range)

Thus it is one-to-one

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),
Marrrta [24]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

8 0
3 years ago
Read 2 more answers
Order these numbers from least to greatest. 8.23 , 7.37 , 7.307 , 7.7
Ksenya-84 [330]
7.307, 7.37, 7.7 , 8.23
6 0
3 years ago
Read 2 more answers
A plane ticket barcelona costs £175 the price decreases by 6% work out the new price
Bond [772]

Answer: £164.50

175 decreased by 6% = 164.5

Absolute change (actual difference):

164.5 - 175 = - 10.5

Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

(1 - 6%) × 175 =

(100% - 6%) × 175 =

94% × 175 =

94 ÷ 100 × 175 =

94 × 175 ÷ 100 =

16,450 ÷ 100 =

164.5

£164.50

6 0
3 years ago
Read 2 more answers
What are the factors of that 697
Rainbow [258]
The factors of 697 or 6,9,7? 
5 0
3 years ago
Dominic spent 2 3/4 hours on art project. Rachel worked 1 1/3 times as long. How many hours did Rachel work for?
N76 [4]
3 and 2/3 hours. 

Multiply the number of hours Dominic spent by the scale factor. 
3 0
4 years ago
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