Half the perimeter of a harden is 18 feet. The garden is 8 feet longer than it Is wide. How wide is the garden?

F(x) = x2 + 4x − 6

german

Since

$x^2+4x+4=(x+2)^2$

Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have

$x^2+4x-6 = x^2+4x+4-10 = (x+2)^2-10$

Which is the required form

6 0

4 years ago

At the movie theatre, child admission is 6.30 and adult admission is 9.50 . On Sunday, four times as many adult tickets as child

Lady_Fox [76]

According to the characteristics of ticket sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

<h3>How many children went to the movie theatre?</h3>

In this question we have a word problem, whose information must be translated into algebraic expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.

We need two linear equations, one for the number of people assisting to the theatre and another for the total sales:

x - 4 · y = 0 (1)

6.30 · x + 9.50 · y = 1063.20 (2)

By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.

According to the characteristics of ticket sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

To learn on systems of linear equations: brainly.com/question/27664510

#SPJ1

4 0

2 years ago

One pipe can fill a pool in 9 hours. Another pipe can fill the pool in 6 hours. How long would it take them to fill the pool if

kow [346]

Answer:

3.6 hours or 3 hours and 36 minutes.

Step-by-step explanation:

If the first pipe can fill the pool in 9 hours that means that in 1 hour it fills $\frac{1}{9}$ of the pool, we use the same logic for the second pipe and conclude that in 1 hour it feels up $\frac{1}{6}$ of the pool. If both were to fill the pool together that means that in 1 hour they would fill...