What is the effect on the graph of f(x)=|3x−4| when it is replaced by f(x)+3 ?

I need help with #6 and #7

Anarel [89]

Answer:

Might need a bit more of a photo.

Step-by-step explanation:

6 0

3 years ago

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An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

marissa [1.9K]

<u>Question Completion</u>

(b) Use the possibility diagram to calculate the probability that the product of the two numbers is

I) A prime number

ii) Not a perfect square

iii) A multiple of 5

iv) Less than or equal to 21

v) Divisible by 4 or 6

Answer:

I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625

Step-by-step explanation:

The sample space for an 8-sided fair die rolled twice is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]\\$

(a) The possibility diagram of the product of the two numbers appearing on the die in each throw

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$

(b)

I) A prime number

Number of Products which are prime numbers = 8

$P$(Product is a prime number)=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125$

ii) Not a perfect square

Number of products which are perfect squares =11

$P$(Product is Not a perfect square)=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125$

iii) A multiple of 5

Number of Products that are multiples of 5=15

$P$(A multiple of 5)=\dfrac{15}{64}\\=0.234375$

iv) Less than or equal to 21

Number of products less than or equal to 21=40

$P$(Less than or equal to 21)=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625$

v) Divisible by 4 or 6

Products Divisible by 4 or 6= 42

$P$(Divisible by 4 or 6)=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625$

5 0

3 years ago

This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two opt

solmaris [256]

<span>This answer assumes that the majority of the 1,500 miles are on the highway. After adding up the total cost for the trip for each car, the Toyota Camry is the better value. Toyota Camry: Base Price: $553.28 Gas Price: $172.72 Total Price: $726.01 Toyota Prius: Base Price: $804.61 Gas Price: $118,75 Total Price: $923.36 Therefore, based on the distance traveled on this trip, the Toyota Camry is the better value. A longer trip would likely turn the Prius into the better value but not for a 1,500 mile trip.</span>

3 0

3 years ago

Solve for c: c - 3/4 = 4/8

9966 [12]

C would be equal to 5/4 or 1.25.

This is because 3/4 is equal to 0.75. 4/8 is equal to 0.5. If you add 0.75 to 0.5, you should get an answer of 1.25.

8 0

3 years ago

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Which model is 85% Shaded

Margarita [4]

Answer:

cant tell

Step-by-step explanation:

need more explanation

7 0

3 years ago