Mary is a lawyer who has an annual salary of $ 147,362. She has to pay

if p varies inversely as a square roots of d and p equals 6 when d equals 9 find the formula connecting p and d, d when p equals

dangina [55]

Answer:

p=d/(1/2)

6=9/1.5

6=6

2=d/1.5

2 × 1.5= d

2 × 1.5= 3

HOPE THIS HELPS

GIVE BRAINLIEST :)

6 0

3 years ago

Where do the following graphs intersect? Show how you can find the intersection point algebraically.

nlexa [21]

Solve equation (1) for y
y-2x = 3
y-2x+2x = 3+2x
y = 2x+3

Plug that into equation (2)
y - 3 = x^2
2x+3 - 3 = x^2
2x = x^2

Get everything to one side
2x = x^2
2x-2x = x^2-2x
0 = x^2-2x
x^2-2x = 0

Now factor and use the zero product property to find the solutions for x
x^2-2x = 0
x(x-2) = 0
x = 0 or x-2 = 0
x = 0 or x = 2

If x = 0, then y is...
y = 2x+3
y = 2(0)+3
y = 3
So (x,y) = (0,3) is one solution of the system. This is one point where the graphs intersect.

If x = 2, then y is...
y = 2x+3
y = 2(2)+3
y = 4+3
y = 7
So (x,y) = (2,7) is another solution to the system. This is another point where the graphs intersect.

See the attached image for a visual. The two curves cross at point A and point B
A = (0,3)
B = (2,7)

8 0

3 years ago

A contractor builds homes of 12 different models and presently has 5 lots to build on. In how many different ways can he arrange

Alecsey [184]

Considering the definition of permutation, in 95,040 different ways he can arrange homes on the lots.

<h3>Definition of Permutation</h3>

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

In other words, permutations are ways of grouping elements of a set in which:

take all the elements of a set.
the elements of the set are not repeated.
order matters.

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

$m Pn=\frac{m!}{(m-n)!}$

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

In this case, you know:

A contractor builds homes of 12 different models.
Presently the constractor has 5 lots to build on.

To obtain the total of ways in which he can arrange homes on these lots, you use the permutation. This is, 12 elements o models can be arranged occupying only the 5 positions:

$12P5=\frac{12!}{(12-5)!}$