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If f(x) is a function and f(1) = 5, then which of the following could not be true?

Mashcka [7]

Answer:

f(1) = 1

Step-by-step explanation:

A function can have only one value of y for a given value of x.

Thus, if f(1) = 5, we cannot have f(1) = 1.

We can have f(2) =1 and f(5) = 5, because these are values of y for different values of x,

The first diagram below is the graph of a function, because there is only value of y that corresponds to a given value of x.

The second diagram is not the graph of a function, because there are two values of y that correspond to a given value of x.

However, the top semicircle and the bottom semicircle separately are graphs of functions, because they each have only value of y that corresponds to a given value of x.

5 0

3 years ago

A farm raises pigs chickens the farmer has total of 102animals one day he counts the legs of all his animals and realizes he has

Mrac [35]

Answer:

The number of pigs the farmer has is 47

Step-by-step explanation:

Assume that the number of pigs is x and the number of chickens is y

∵ The farmer has 102 animals

∵ The number of pigs is x

∵ The number of chickens is y

→ Add them and equate the sum by 102

∴ x + y = 102 ⇒ (1)

∵ Each pig has 4 legs

∴ The number of legs of all pigs is 4x

∵ Each chicken has 2 legs

∴ The number of legs of all chickens is 2y

∵ He has a total of 298 legs

→ Add 4x and 2y, then equate the sum by 298

∴ 4x + 2y = 298 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2 to make the coefficients of y equal in values

and opposite in signs

∵ -2(x) + -2(y) = -2(102)

∴ -2x - 2y = -204 ⇒ (3)

→ Add equations (2) and (3)

∵ (4x + -2x) + (2y + -2y) = (298 + -204)

∴ 2x + 0 = 94

∴ 2x = 94

→ Divide both sides by 2 to find x

∴ x = 47

∴ The number of pigs the farmer has is 47

8 0

3 years ago

A)express the ratio 2:3 as a ratio in the form 1:n

Vedmedyk [2.9K]

$\\ \sf\longmapsto 2:3=1:n$

$\\ \sf\longmapsto \dfrac{2}{3}=\dfrac{1}{n}$

$\\ \sf\longmapsto 2n=3$

$\\ \sf\longmapsto n=\dfrac{3}{2}$

3 0

3 years ago

Read 2 more answers

If nm = 8x - 14 and jk = x squared + 1, find JK

marissa [1.9K]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of Jk can be either 10 or 26.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since in a rectangle the opposite sides are equal, therefore, the sides NM and JK will be equal.

JK = MN

8x - 14 = x² + 1

0 = x² - 8x + 15

x = 5, 3

Hence, the length of Jk can be either 10 or 26.

The complete questions are:

Quadrilateral JKMN is a rectangle, if NM= 8x - 14 and JK= x squared + 1, find JK.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

8 0

3 years ago

There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and

AveGali [126]

Do 100-45 and you get 55. So it is 55 classrooms that are not Math and Science.

6 0

4 years ago