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Hitman42 [59]
2 years ago
15

Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the followin

g table: Hour (x) Number of Customers f(x) 1 4 2 8 3 12 Determine if these data represent a linear function or an exponential function, and give the common difference or ratio.
Mathematics
1 answer:
Artist 52 [7]2 years ago
6 0
Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4
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Which sequence of transformations produces R'S'T' from RST? On a coordinate plane, triangle R S T has points (0, 0), (negative 2
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Answer:

Step-by-step explanation:

Given is a triangle RST and another triangle R'S'T' tranformed from RST

Vertices of RST are (0, 0), (negative 2, 3), (negative 3, 1).

Vertices of R'S'T' are  (2, 0), (0, negative 3), (negative 1, negative 1).

Comparing the corresponding vertices we find that x coordinate increased by 2 while y coordinate got the different sign.

This indicates that there is both reflection and transformation horizontally to the right by 2 units

So first shifted right by 2 units so that vertices became

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Now reflected on the line y=0 i.e. x axis

New vertices are

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2 years ago
A bowl of flower seeds contains 5 petunia seeds and 15 begonia seeds. Riley calculated the probability that a random selected se
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Answer:

Riley divided the number of petunia seeds by the number of begonia seeds, getting \frac {5}{15} = \frac {1}{3}. What you actually need to do to calculate the probability of selecting a petunia seed is divide the number of petunia seeds by the <em>total</em> number of seeds. 5 petunia seeds and 15 begonia seeds makes 20 total seeds, so you divide 5 petunia seeds by 20 total seeds to get \frac {5}{20} = \frac {1}{4}.

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The dolphins at the sea aquarium are fed 2 1/3 buckets of fish each day. The walruses are fed 5 times as much fish as the dolphi
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Question 6: An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces. Determin
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Answer:

(a) 0.25

(b) 0.944

(c) 0.444

(d) 0.167

Step-by-step explanation:

There are six possible outcomes for each die, which means that the number of possible outcomes is:

n=6*6 = 36

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P(A) = \frac{3*3}{36}=0.25

(b) There are only two possible outcomes for which the sum is three (1 and 2, or 2 and 1). The probability of the sum NOT being three is:

P(B) = 1-\frac{2}{36}=0.944

(c) If neither a one or a six must appear, then there are 4 possible outcomes for each die, the probability is:

P(C) = \frac{4*4}{36}=0.444

(d) For each one of the six possible numbers on the first die, there is only one on the second die for which the sum of the spots is 7, totaling six possible ways to sum 7:

P(D) = \frac{6}{36}=0.167

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