A sporting equipment company wants to sell a new bicycle helmet. They have developed a function, shown below, where total profit, p, can be determined based on sale price, s.

What will be the total profit if the sale price of the helmet is $60?

If we use the valie of s =60 we have

And after solve we got:

So then the best option for this case would be:

$27,600

Step-by-step explanation:

Using the following info in order to complete the problem:

p(s)=-24s^(2)+2200s-18000

$112,560

$27,600

$111,120

$236,400

$14,240

We have the following function given:

If we use the valie of s =60 we have

And after solve we got:

So then the best option for this case would be:

$27,600

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4