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3 years ago

Find the inverse: f(x) = 4 + 4/5 x.

Mathematics

1 answer:

timama [110]3 years ago

7 0

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

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The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width

erma4kov [3.2K]

Answer:

Length of Rectangle = 4 cm And

Width of Rectangle = 1.9 cm

Step-by-step explanation:

Given as :

The perimeter of rectangle = 20.2 cm

The area of rectangle is 24.4 cm

Let the length be L

And width be w

Now Area of rectangle = Length × width

Or, 24.4 = L × W

And Perimeter = 2 (Length + Width ) = 2 (L + W )

Or, 20.2 = 2(L + W )

Or , L + W = 10.1 cm ............ 1

Now, (L - W )² = (L + W)² -4 LW

Or, (L - W )² = ( 10.1)² -4 (24.4)

I.e (L - W )² = 4.41

Or , L - W = 2.1 cm .............. 2

SO , From 1 and 2

( L + W) + (L - W) = 10.1 cm - 2.1 cm

Or, 2L = 8

∴ Length = 4 cm

Again , Width = 4 cm - 2.1 cm = 1.9 cm

Hence Length of Rectangle = 4 cm And

Width of Rectangle = 1.9 cm Answer

6 0

3 years ago

What is the slope of a line that is parallel to the line represented by the equation x-y=8

coldgirl [10]

The slope of x-y=8 is 1 because it's actually y = x-8

Parallel means the slope is equal to 1 as well.

6 0

3 years ago

True or False?In Exercise,determine whether the statement is true or false given that f(x) = In x.if it is false,explain why or

kompoz [17]

Answer:

The given statement is false.

Step-by-step explanation:

We are given the following in the question:

$f(x) = \text{In } x$

The given statement is

$f(x - 2) = f(x) - f(2), x > 2$

Putting the values on the right side of the given statement

$f(x-2)\\=\text{ln }(x-2) \neq \text{ln }x - \text{ln }2$

Thus, the given statement is false.

This can be explained with the help of an example:

For x = 3

$f(x-2) = f(3-2) = f(1)\\=\text{ln }1 = 0\\f(x)-f(2)\\=\text{ln }3-\text{ln }2 \\=0.4054$

6 0

3 years ago

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen

boyakko [2]

PART A
s = the number of packets of strawberry wafers ;
c = the number of packets of chocolate wafers ;
3 × s + 1 × c = 30 ;
s + c = 22 ;

PART B

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

c = 30 - 3s;
s + ( 30 - 3s ) = 22;
30 - 2s = 22;
30 - 22 = 2s;
8 = 2s;
s = 4 ;
c = 30 - 12 ;
c = 18 ;

4 0

3 years ago

What is (-8)+11x[-2-(-4)=?

Goryan [66]

−8+11x[−2−(−4)]=−8+22x
=22x−8

Hope I helped, and if I did, than feel free to vote brainliest

7 0

3 years ago