Help me with this please.......

Lucille wants to carpet her family room. Her family room is rectangular and has a length of 21 feet and a width of 17 feet. How

madreJ [45]

Answer:

$803.25

Step-by-step explanation:

Given data

Dimension for the room

Length= 21 ft

Width= 17ft

Area= L*W

Area= 21*17

Area= 357 ft^2

Lucy will need to get 357ft^2 of carpet

We are given that a square ft cost $2.25

Hence to carpet the room the cost will be $2.25*357= $803.25

3 0

2 years ago

F(x)=x^3+3

lawyer [7]

Answer:

(a) -3/4

(b) -0.75

(c) -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

evaluating the function at the midpoint of the bracketing interval
choosing a smaller bracketing interval
identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

Comment on bisection iteration

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0

3 years ago

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number

yKpoI14uk [10]

Answer:

Hot dog sold = 33

Sodas Sold = 72

Step-by-step explanation:

Given:

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold

To Find:

Number of soda/hot dog sold

Solve:

h + ( 39 + h ) = 105

h + 39 + h = 105

2h + 39 = 105

h + 19.5 = 52.5

h = 52.5 - 19.5

This as a system does not use any inequality. "39 more than" means, +39.

h = 33 meaning d= 72

Add to check Answer:

33 + 72 = 105

Thus,

Hot dog sold = 33

Sodas Sold = 72

Kavinsky

3 0

1 year ago

1/4 plus 4/5(3/4x - 1 1/9)

ANTONII [103]

Answer:

$\frac{3}{5}x+-\frac{131}{180}$

6 0

3 years ago

Plz help Find ‘x’ & ‘y’

just olya [345]

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

$\frac{25}{5} = \frac{x}{4} = \frac{y}{3}$

$\frac{25}{5} = 5$

so:

$\frac{x}{4} = 5$

x=5×4

x=20

and...

$\frac{y}{3} = 5$

y=3×5

y=15

3 0

2 years ago