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Alenkinab [10]
2 years ago
12

Consider the function represented by 9x + 3y=12 with x as the independent variable. How can this function be written using funct

ion notation?
Mathematics
1 answer:
agasfer [191]2 years ago
3 0

Answer: f(x)=−3x+4

Step-by-step explanation:

In a function  

y

=

f

(

x

)

,  

x

is the independent variable and  

y

is the dependent variable.

So to represent the given equation as a function, it is just enough to solve it for  y

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Please help and show work if possible. thank you!!
Elena-2011 [213]
10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.

11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
3 0
3 years ago
Consider a fair coin which when tossed results in either heads (H) or tails (T). If the coin is tossed TWO times 1. List all pos
Volgvan

Answer:

Sample space = {(T,T), (T,H), (HT), (HH)}

Step-by-step explanation:

We are given a fair coin which when tossed one times either gives heads(H) or tails(T).

Now, the same coin is tossed two times.

1) All the possible outcomes

Tails followed by tails

Rails followed by heads

Heads followed by a tail

Heads followed by heads

2) Sample space

{(T,T), (T,H), (HT), (HH)}

3) Formula:

Probability = \displaystyle\frac{\text{Favourable outcome}}{\text{Total number of outcome}}

Using the above formula, we can compute the following probabilities.

Probability((T,T)) =\frac{1}{4}

Probability((T,H)) =\frac{1}{4}

Probability((H,T)) =\frac{1}{4}

Probability((H, H)) =\frac{1}{4}

Probability(Atleast one tails) = \frac{3}{4}

Probability(Atleast one heads) = \frac{3}{4}

Probability(Exactly one tails) = \frac{2}{4}

Probability(Exactly one heads) = \frac{2}{4}

4 0
3 years ago
Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes wou
Sedbober [7]

Answer:

60 mins

Step-by-step explanation:

15+45=60

4 0
2 years ago
three boxes under my stairs contain apples or pears are both each box contains the same number of pieces of fruit the first box
Brrunno [24]

There are 16 fruits in each of the boxes found under the stairs.

<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of pears, hence:

Number of fruit in first box = 12 + (1/9)x

Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x

Therefore:

12 + (1/9)x = (4/9)x

x = 36

First box = second box = third box = (4/9) * 36 = 16

There are 16 fruits in each of the boxes found under the stairs.

Find out more on equation at: brainly.com/question/2972832

4 0
2 years ago
I need help on this ASAP so please help
In-s [12.5K]

Answer:

it’s 8 and 2 and 4 and 0

Step-by-step explanation:

this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer

7 0
2 years ago
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