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worty [1.4K]
3 years ago
13

Can anyone help me ?????

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

Step-by-step explanation:

The graph of a function and its inverse will always reflect through the line

y = x.

This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.

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Evaluate - 4/8 ./. 8 2/3
LenaWriter [7]

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

3 0
3 years ago
The function f(x) varies directly with x, and f(x) = 45 when x = 9.
Paladinen [302]

Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

This tells us that f(x) varies by a factor (lets call it) a for a given value of x.

To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

f(x) = 5x    Eqn (1) our original function.

Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

f(x=3)= 5*3

f(x=3) = 15

f(3) = 15

Looking at the given options in the question we can conclude that the correct answer is Option C = 15

3 0
3 years ago
A survey was conducted
inna [77]

Answer: 9/25 or 36%

Step-by-step explanation:

72 + 28 + 62 + 38 = 200

There are 200 people in total and 72 are youngsters who like sport cars.

So, the number of youngsters who like cars out of the total number of people is 72/200.

Now, find a greatest common divisor. In this case, the greatest common divisor is 8.

72 / 8 = 9

200 / 8 = 25

9/25 (fraction)

25 * 4 = 100

9 * 4 = 36

36/100 = 36% (percentage)

4 0
4 years ago
Read 2 more answers
What is the area of the triangle in the coordinate plane?
AnnZ [28]
The answer to this is C.54 units² .

Area=1/2 base*height
base=12
height=9
12*9=108
108/2=54
Area=54
5 0
3 years ago
Read 2 more answers
Which formula gives the area of a rectangle?
Tpy6a [65]

Answer:

L*W=Area

Step-by-step explanation:

The formula Length x Width = Area is the correct formula for the area of a rectangle. The same formula works for a square!

6 0
3 years ago
Read 2 more answers
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