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andrey2020 [161]
11 months ago
12

Every day a school bus driver passes the same traffic light twice, once before school and once after. Each time he passes the li

ght, he records If it is red, green, or yellow.
Here is a summary of the data he got after 200 days.

Traffic light before school Traffic light after school Number of day
red red 25
red green 21
red yellow 17
green red 16
green green 31
green yellow 27
yellow red 22
yellow green 28
yellow yellow 13

Suppose the driver will continue recording the colors for 150 more days.
In how many of these 150 days will the light be red exactly once? Use the data to make a prediction.

Mathematics
1 answer:
nekit [7.7K]11 months ago
5 0

Answer:

Step-by-step explanation: the amswer is B trust me

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What is the numerator of the simplified sum?
sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

\frac{x + 3(x + 2)}{(x + 1)(x + 2)}

\frac{x + 3x + 6)}{(x + 1)(x + 2)}

\frac{4x + 6)}{(x + 1)(x + 2)}

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

8 0
3 years ago
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The first one :)

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8 0
3 years ago
State the domain and the range of each relation. Then determine whether the relation is a function.
IrinaVladis [17]

Answer:

Domain:{-6,3,4}

Range:{-2,5,6,23}

The relation is not a function.

Step-by-step explanation:

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(4,23)

(3,-2)

(-6,5)

(4,6)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):

Domain:{-6,3,4}

The range is the set of the y-coordinates of each ordered pair :

 Range:{-2,5,6,23}

Since the input value 4 has two different output values (23 and 6), the relation is not a function.

8 0
3 years ago
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A solid cylinder has a radius of 4 cm and a length of 8 cm is melted down and recast in a solid cube find the dimension of the c
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Answer:

7.37108cmx7.37108cmx7.37108cm

Step-by-step explanation:

Find the volume of the cylinder then take the cube route of that. You should end up with ~7.38108cm which is the length, width, and height of your cube. The volume is 402.12386cm cubed.

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3(Ꮾ - f) -4 = 3f - 4
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3(6-f)-4=3f-4

First is expand

18-3f-4=3f-4

Combine like terms

14-3f=3f-4

18-3f=3f

18=6f

f=3

8 0
3 years ago
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