A shoe company is making sneakers.

Customers of a phone company can choose between two service plans for long distance calls. The first plan has an $18 monthly fee

Svetlanka [38]

18 + 0.14m = 8 + 0.19m
18 - 8 = 0.19m - 0.14m
10 = 0.05m
10 / 0.05 = m
200 = m <== they will cost the same at 200 minutes

5 0

4 years ago

Evaluate the Riemann sum for f(x) = 3x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints.

Verdich [7]

Answer:

The Riemann sum equals -10.

Step-by-step explanation:

The right Riemann Sum uses the right endpoints of a sub-interval:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)$

where

$\Delta{x}=\frac{b-a}{n}$

To find the Riemann sum for $\int\limits^{4}_{-6} {3x-1} \, dx$ with n = 5 rectangles, using right endpoints you must:

We know that a = -6, b = 4 and n = 5, so

$\Delta{x}=\frac{4-\left(-6\right)}{5}=2$

We need to divide the interval −6 ≤ x ≤ 4 into n = 5 sub-intervals of length $\Delta{x}=2$

$a=\left[-6, -4\right], \left[-4, -2\right], \left[-2, 0\right], \left[0, 2\right], \left[2, 4\right]=b$

Now, we just evaluate the function at the right endpoints:

$f\left(x_{1}\right)=f\left(-4\right)=-13=-13$

$f\left(x_{2}\right)=f\left(-2\right)=-7=-7$

$f\left(x_{3}\right)=f\left(0\right)=-1=-1$

$f\left(x_{4}\right)=f\left(2\right)=5=5$

$f\left(x_{5}\right)=f(b)=f\left(4\right)=11=11$

Finally, just sum up the above values and multiply by 2

$2(-13-7-1+5+11)=-10$

The Riemann sum equals -10

5 0

4 years ago

Find the midpoint of the segment with the following endpoints.<br> (-2, 1) and (6,-3)

Blababa [14]

Answer:

The midpoint is ( 2,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-2+6)/2 =4/2 =2

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

( 1+-3)/2 = -2/2 = -1

The midpoint is ( 2,-1)

8 0

3 years ago

Read 2 more answers

A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer

Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

$L_A \to$ length of play area A

$W_A \to$ width of play area A

$L_B \to$ length of play area B

$W_B \to$ width of play area B

$x \to$ Area of A

$y \to$ Area of B

From the question, we have the following:

$L_A = 1 + 4W_A$

$W_B = 2 + W_A$

$L_B = 2 + 3W_B$

$x = y$

The area of A is:

$x = L_A * W_A$

This gives:

$x = (1 + 4W_A) * W_A$

Open bracket

$x = W_A + 4W_A^2$

The area of B is:

$y = L_B * W_B$

$y = (2 + 3W_B) * ( 2 + W_A)$

Substitute: $W_B = 2 + W_A$

$y = (2 + 3(2 + W_A)) * ( 2 + W_A)$

Open brackets

$y = (2 + 6 + 3W_A) * ( 2 + W_A)$

$y = (8 + 3W_A) * ( 2 + W_A)$

Expand

$y = 16 + 8W_A + 6W_A + 3W_A^2$

$y = 16 + 14W_A + 3W_A^2$

We have that:

$x = y$

This gives:

$W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2$

Collect like terms

$4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0$

$W_A^2 -13W_A - 16 =0$

Using quadratic calculator, we have:

$W_A = -14.1$ or $W = 1.13$ --- approximated

But the width can not be negative; So:

$W = 1.19$

7 0

3 years ago

I need the answer immediately!!!!!!!!

sergiy2304 [10]

Answer:y=-5x-2

Step-by-step explanation:

This will have a negative slope since the line goes from left to right. Use rise over run to find the slope of -5 and look at the y axis where it intersects to get -2

Have a great day!

8 0

3 years ago