There are 63 new houses being built in a neighborhood. last month 1/3 of them were sold. this month 2/7 of the remaining houses were sold. How many houses are left to be sold?

Answers

Answer 1

Answer:

Answer: 49 houses

Step-by-step explanation:

63 x 1/3 =63/3= 21 houses were sold last month. 63 - 21 = 42 houses remained unsold last month. 42 x 2/3 =[42 x 2] / 3 = 84 / 3 = 28 houses were sold this month. 21 + 28 = 49 houses sold altogether.

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Answers

i don't know sorry but you can ask some one else error 404

Marco is driving to the grand canyon. his distance from the grand canyon decreases 150 miles every 3 hrs. After 4 hrs, his distance from the Grand Canyon is 200 miles. Marco's distance from the Grand Canyon in miles, y, is a function of the number of hours he drives, x. Find the initial value.

Answers

Answer:

The initial value is 400.

The situation is described by a linearfunction of the form $y=mx+b$ where:

m = slope/rate of change

b = initial value

In this case, the distance y is decreasing 150 miles every 3 hours. So the rate of change (m) is equal to:

-150/3 = -50 miles per hour

Now we know that after 4 hours, his distance is 200 miles. We can plug in x = 4 and y = 200 into the linear equation.

200 = -50(4) + b

200 = -200 + b

400 = b

Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.a. k[p(x)] = 5x − 12
b. k[p(x)] = 5x − 28
c. k[p(x)] = 5x2 − 12
d. k[p(x)] = 5x2 − 28

Answers

Composite functions are function of functions. The correct value of k[p(x)] for given context is given by: Option b. k[p(x)] = 5x − 28

What are function of functions and how are they represented?

Function of functions, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as

$(f\circ g)(x)$

where the x is the input to first function.

Thus, we have;

$(f\circ g)(x) = f(g(x))$

For given context, the functions are:

$k(x) = 5x - 8 \np(x) = x - 4,$

Composing them to get k[p(x)], we need to put whatever p(x) output as input to k(x).
Thus,

$k(p(x)) = 5(p(x)) - 8\n\nk(p(x)) = 5(x-4) - 8 = 5x - 20 - 8 = 5x - 28\n$

Thus,

The correct value of k[p(x)] for given context is given by: Option b. k[p(x)] = 5x − 28

Learn more about composite functions here:

brainly.com/question/24780056

Answer:

k [p(x)] = 5x -28 .

Option (b) is correct .

Step-by-step explanation:

As given the expression in the questions are

k(x) = 5x - 8

p(x) = x - 4

k [p(x)] = k (x-4)

= 5 × (x-4) -8

= 5× x - 5 × 4 - 8

= 5x - 20 - 8

= 5x - 28

Thus

k [p(x)] = 5x -28

Therefore k [p(x)] = 5x -28 .

Option (b) is correct .

Point R has coordinates (0,2). Point S is symmetric to point R with respect to the line y=x. What are the coordinates of point S?(2,0)
(1,1)
(1,0)
(-5,0)