Ask question

Ask question

All categories

3 years ago

14

The functions from part A are f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x. Enter the expression that results from f(x) − g(x). Give

your answer in simplest form.

1 answer:

Goryan [66]3 years ago

7 0

Answer:

f(x)-g(x)

2.5e-0.04x-1.2+0.2

<u>0.16x+5.59570457</u>

You might be interested in

Find the slope of the line that passes through (4, 6) and (2, 3).

Verizon [17]

The slope is 3/2

To find the slope, you have to use the slope formula

y2-y1/x2-x1

6-3/4-2

3/2

So the slope is 3/2

3 0

3 years ago

If a box of 100 pencils cost $4.75, what should you expect to pay for 225 pencils?

skad [1K]

Answer:

$ 10.69

Step-by-step explanation:

225 is 2.25 times the 100 pencils. ( 225/100) So all you have to do is multiply 2.25 the price ($4.75) and you get 10.6875, money can only go to the tenth place so you round it to $10.69

<em>Hope this helped and pls mark as brainliest!</em>

<em />

<em>~Luna</em>

6 0

3 years ago

Read 2 more answers

Mandy has a 10.2-ounce container of mustard. She uses 130 of the mustard to put on her hot dog each time. How many ounces of mus

Marianna [84]

Answer:

x

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

If f(x) = 5x, what is f^-1(x)?<br> F(x) = -5x<br> of(x)-<br> F(x) = 5*<br> O F(x) = 5x

Oksana_A [137]

Answer:

f^-1 (x) = x/5

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y

y= 5x

Exchange x and y

x = 5y

Solve for y

Divide each side by 5

x/5 = 5y/5

x/5 = y

The inverse is x/5

3 0

3 years ago

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

2 years ago