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3 years ago

Find the inverse of the function f(x) = 2x – 4.

Mathematics

2 answers:

Vsevolod [243]3 years ago

5 0

The correct answer for this is D) g(x) = 1/2x + 2

Because f(x) is one to one, its inverse is a function.

irga5000 [103]3 years ago

4 0

Replace f(x)fx with yy.y=2x−4y=2x-4Interchange the variables.x=2y−4x=2y-4Solve for yy.Tap for more steps...y=2+x2y=2+x2Solve for yy and replace with f−1(x)f-1x.

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PLSS HELP ASAP TYSM <33 SORRY I COULDN'T FIND SCIENCE LOLL

dimaraw [331]

Answer:

Rock D.

Step-by-step explanation:

We can assume that the force that the catapult does is always the same.

So, here we need to remember Newton's second law:

F = m*a

force equals mass times acceleration.

Where acceleration is the rate of change of the velocity.

So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.

So, we can rewrite:

a = F/m

So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.

Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.

So we can assume that rock D is the correct option.

5 0

3 years ago

What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)

Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

- 5y = - 8x + 2 ( divide all terms by - 5 )

y = $\frac{8}{5}$ x - $\frac{2}{5}$ ← in slope- intercept form

with slope m = $\frac{8}{5}$

• Parallel lines have equal slopes, hence

y = $\frac{8}{5}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = $\frac{8}{5}$ x + 6 ← in slope- intercept form

Multiply through by 5

5y = 8x + 30 ( subtract 5y from both sides )

0 = 8x - 5y + 30 ( subtract 30 from both sides )

8x - 5y = - 30 ← in standard form

3 0

3 years ago

Who needs help below 8th grade

luda_lava [24]

Answer:

mee

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If you apply ghe change below to the quadratic parent function f(x)=x2 what is the equation of the new function? Shift 1 unit ri

saveliy_v [14]

1 to left gives (x -1)^2

vertical stretch makes it 5(x - 1)^2

reflection in axis changes the sign to - :-

equation of new function is f(x) = -5(x - 1)^2

6 0

3 years ago

The _____ _____, denoted ModifyingAbove p with caretp, is given by the formula ModifyingAbove p with caretpequals=_____, wher

Vlada [557]

Answer:

The sample proportion, denoted by ^p, is given by the formula ^p= $\frac{x}{n}$ , where x is the number of individuals with a specified characteristic in a sample of n individuals.

Step-by-step explanation:

Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.

sample mean can be stated as p and sample standard error can be found using the equation $\sqrt{\frac{p*(1-p)}{n} }$ where

n is the sample size

p is the sample proportion

And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.

3 0

3 years ago