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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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At t=0, a rock is dropped from rest from the top of a building 256 ft high. With what velocity will it strike the ground? What i

Rasek [7]

Answer:

128 ft / second.

Step-by-step explanation:

It's acceleration is due to gravity and is 32 ft s^-2.

To find the velocity when it hits the ground we use the equation of motion

v^2 = u^2 + 2gs where u = initial velocity, g = acceleration , s = distance.

v^2 = 0^2 + 2 * 32 * 256

v^2 = 16384

v = 128 ft s^-1.

4 0

3 years ago

Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.

uysha [10]

The point-slope equation of the line is $y-3=\frac{1}{5}(x-2)$

Step-by-step explanation:

The form of the point-slope equation is $y-y_{1}=m(x-x_{1})$ , where

m is the lope of the line
$(x_{1},y_{1})$ is a point lies on the line

The slope of a line $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ $x_{1}$ = 2 and $x_{2}$ = 7

∴ $y_{1}$ = 3 and $y_{2}$ = 4

- Substitute these value in the rule of the slope

∵ $m=\frac{4-3}{7-2}=\frac{1}{5}$

∴ the slope of the line is $m=\frac{1}{5}$

Let us substitute the value of the slope and the coordinates of point $(x_{1},y_{1})$ in the form of the equation

∵ $y-y_{1}=m(x-x_{1})$

∵ $x_{1}$ = 2 and $y_{1}$ = 3

∵ $m=\frac{1}{5}$

∴ $y-3=\frac{1}{5}(x-2)$

The point-slope equation of the line is $y-3=\frac{1}{5}(x-2)$

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

3 0

3 years ago

5. Two-thirds a number plus 4 i 7.

eimsori [14]

Answer:

x = 9/2.

Step-by-step explanation:

2/3 x + 4 = 7

2/3 x = 3

Multiply both sides by 3/2:

2/3 * 3/2 x = 3 * 3/2

x = 9/2.

7 0

3 years ago

The multiplicative inverse of -7/8 is

suter [353]

7/8 is a answer of this question

3 0

3 years ago

What is 88% of 250? I really need help with this!

Aneli [31]

220 .............................

8 0

3 years ago

Read 2 more answers