Let f(x)=x2+5x−36 . Enter the x-intercepts of the quadratic function in the boxes.

Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6

AnnZ [12381]

Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

We start with the equations:

${x}^{2} + {y}^{2} = 6$

and

${x}^{2} - y = 6$

Rearranging the second equation to make y the subject results in;

$y = {x}^{2} - 6$

Substituting into the first equation gives us:

${x}^{2} + ({x}^{2} - 6 )^2= 6$

$x = \pm \sqrt{6}$

and $x = \pm \sqrt{5}$

The solutions remain as (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

7 0

3 months ago

James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if

lawyer [12517]

I estimate that it would be about an hour and 15 minutes, but I'm not entirely sure.

4 0

2 months ago

A local college bookstore paid a net price of $12,500 for textbooks for the coming semester. The publisher offered a trade disco

tester [12383]

The result is $15,625

The full price represents 100%. A local college bookstore spent $12,500, which equates to 80% of the full price as this reflects a 20% discount (100% - 20% = 80%).

Now, let’s set up a proportion.
If $12,500 corresponds to 80% of the full price, what is the full price (100%):
$12,500: 80% = x: 100 %
x = $12,500 · 100% ÷ 80% = $15,625

4 0

1 month ago

Let ​ f(x)=x2+5x−36 ​. Enter the x-intercepts of the quadratic function in the boxes.

Let f(x)=x2+5x−36 . Enter the x-intercepts of the quadratic function in the boxes.