The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

$2x+3=0$

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

Now add 10 to this x coordinate , we get x1= $10-3/2$ = $17/2$

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get $0=2*17/2-k$

k=17

3 0

3 years ago

30pts! Brainliest! Calculus 2!

masha68 [24]

Substitute 1/x with u
dx = -x^2 du
-1/4 integral of e^u•du
Apply exponential rule -(e^u)/4
Undo the substitution u is 1/x
Answer is (-(e^1/x)/4 ) + C

4 0

2 years ago

Write a linear cost function for the situation. Identify all variables used. A parking garage charges 4 dollars plus 65 cents pe

Liono4ka [1.6K]

Answer:

The linear cost function is $C(x)=1.3x+4$ dollar.

Step-by-step explanation:

Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.

To find : Write a linear cost function for the situation ?

Solution :

Cost function is defined as sum of marginal cost and fixed cost.

Let x be the number of hours i.e. time for which parking cost.

A parking garage charges 4 dollars plus 65 cents per half-hour.

The fixed price is $4.

Marginal cost is 65 cents per half-hour.

Converting cents into dollar,

1 cent = 0.01 dollar

65 cent = 0.65 dollar

The cost of $\frac{1}{2}$ hour = $0.65

The cost of x hours = $0.65\times 2x$

So, marginal cost is $1.3x.

Cost function is defined as

$C(x)=MC+FC$

$C(x)=1.3x+4$

$C(x)=1.3x+4$ dollar.

Therefore, The linear cost function is $C(x)=1.3x+4$ dollar where x is the number of hours.

6 0

3 years ago