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Flura [38]
2 years ago
12

Let f={(1,2),(2,3),(5,6),(7,8) evaluate f(2)and f(5)?​

Mathematics
1 answer:
Flauer [41]2 years ago
5 0

Given:

f=\{(1,2),(2,3),(5,6),(7,8)\}

To find:

The values of f(2) and f(5).

Solution:

If an ordered pair (x,y) is in the function f, then f(x)=y.

In the given set of ordered pairs one ordered pair is (2,3). So, by using the above definition, we get

f(2)=3

In the given set of ordered pairs one ordered pair is (5,6). So, by using the above definition, we get

f(5)=6

Therefore, the value of f(2) is 3 and the value of f(5) is 6.

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2. Calculate the area of the rectangle below.<br>4 cm<br>IN<br>10 cm<br>Answer​
kozerog [31]

Answer:

40 cm squared

Step-by-step explanation:

Area = length * width

10*4cm = 40 cm squared

4 0
3 years ago
Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.
SCORPION-xisa [38]

Answer:

The solutions are x=-3,\:x=3

Step-by-step explanation:

To factor this cubic polynomial x^3+3x^2-9x-27 you must:

  • Group the polynomial into two sections

x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)

  • Factor out -9 from (-9x-27)

(-9x-27)=-9\left(x+3\right)

  • Factor out x^2 from (x^3+3x^2)

(x^3+3x^2)=x^2\left(x+3\right)

x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)

  • Factor out common term x+3

-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)

x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)

  • Factor x^2-9

x^2-9=\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0

  • Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}

The solutions are

x=-3,\:x=3

3 0
3 years ago
What common denominator can be used to write the left side as one rational expression?
iris [78.8K]

Answer:

10(10+x)

Step-by-step explanation:

7 0
3 years ago
Look at each expression. Is it equivalent to "the quotient of 10 plus x and y minus 3?
abruzzese [7]

Answer:

the answer for the question is 10+x

y-3

8 0
3 years ago
You eat five slices of bread your friend eats two slices fewer than you write an expression that describes the number of slices
lianna [129]

Answer:

No. Of slices my friend eats = No. Of slices eaten by me - No. Of slices my friend eats fewer than me

= 5 - 2

= 3

Hope this helps!

5 0
3 years ago
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