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3 years ago

The identity function is a linear function. True False

Mathematics

2 answers:

kherson [118]3 years ago

7 0

The correct answer for this statement would be TRUE. Yes,it is true that the identity function is a linear function. A linear function is a map between two vector spaces that preserves vector addition and scalar multiplication.
this means f(x + y) = f(x) + f(y) and f(xy) = f(x)f(y))
The identity function is the function such that f(x) = x
So by using this example, we can conclude that it is a linear function.

Contact [7]3 years ago

4 0

Answer:

True

Step-by-step explanation:

An identity function is a function such that y=f(x)=x.

The identity is a linear function with pending m=1. This means that the function passes through the origin of coordinates, the point (0,0).

m=1 > 0 then, the function is growing.

m=1 means that if we increase x in 1 then y also increases in 1 unit and the graph of the function forms an angle of 45 degrees with any of the axes.

The function is y=x and the graph is:

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2 years ago

The value of y varies jointly with x and z. If y = 7 when z = 196 and x = 2, find the value of y when x = 3 and z = 336. I will

eimsori [14]

Answer:

Step-by-step explanation:

Given that:

y∞ xz

y=kxz. Where k is constant

When z=196 and x= 2 then y= 7

7=(196)(2)k

7=392k

k=1/56

There fore y=(1/56)xz

When x=3 and z =336

y=(1/56)xz

y=(1/56)(336)(3)

y=18

8 0

3 years ago

Write a numerical or variable expression for the quantity: the number of days in w weeks.

JulsSmile [24]

Answer:

7w is the answer

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5 0

3 years ago

What is the ratio of a to b 9/17= 3a/ a+b 3/14 6/17 13/17 50/9

Anarel [89]

Answer:

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a/ (a+b)

Multiply each side by 17

17*9/17 =17* 3a/ (a+b)

9 = 51 a/ (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute the 9

9a +9b = 51a

Subtract 9a from each side

9a-9a +9b =51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b

5 0

3 years ago

Fractional Equations Help with steps

Sliva [168]

Answer:

see explanation

Step-by-step explanation:

(e)

$\frac{2x-1}{3}$ - $\frac{3x-1}{4}$ = 1

Multiply through by 12 to clear the fractions

4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify

8x - 4 - 9x + 3 = 12

- x - 1 = 12 ( add 1 to both sides )

- x = 13 ( multiply both sides by - 1 )

x = - 13

---------------------------------------------------------------

(f)

$\frac{3m}{4}$ - 5 = 24 ( add 5 to both sides )

$\frac{3m}{4}$ = 29 ( multiply both sides by 4 )

3m = 116 ( divide both sides by 3 )

m = $\frac{116}{3}$

--------------------------------------------------------------

(g)

$\frac{5(y+2)}{2}$ - $\frac{4(y+1)}{3}$ = 3

Multiply through by 6 to clear the fractions

15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify

15y + 30 - 8y - 8 = 18

7y + 22 = 18 ( subtract 22 from both sides )

7y = - 4 ( divide both sides by 7 )

y = - $\frac{4}{7}$

4 0

3 years ago