Acompany makes glass lawn ornaments with a radius of 9 inches. the glass to make the balls costs the company $0.03 per square inch. to the nearest cent, how much does the company pay for the glass to create one ornament?

$7.63

Step-by-step explanation:

We are given:

r=9 icnhes

We have to find the area of the circular ornament first. The formula for area of circle is:

Area= πr^2

Putting the value of r

Area=3.14*(9)^2

=3.14*81

=254.34 Square inches

As the company pays $0.03 for 1 square inch, for 254.34 square inch the company will have to pay:

=254.34*0.03

=$7.6302

Rounding off to the nearest cent

The cost for one ornament = $7.63

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!