Respuesta :
P(x)=-4(x-15)2+2
P(x)=7
P(7)=-4(7-15)2+2
-4*7-4*-15
P(7)=-28+60+2+2
P(7)=92
P(x)=7
P(7)=-4(7-15)2+2
-4*7-4*-15
P(7)=-28+60+2+2
P(7)=92
The value of the function p(x) for x = 7 is -254
The function is given as:
[tex]\mathbf{p(x)=-4(x-15)^2+2}[/tex]
And the value of x is 7.
Substitute 7 for x in p(x)
[tex]\mathbf{p(7)=-4( 7-15)^2+2}[/tex]
Subtract 15 from 7
[tex]\mathbf{p(7)=-4(-8)^2+2}[/tex]
Tale square of -8
[tex]\mathbf{p(7)=-4 \times 64+2}[/tex]
Multiply -4 and 64
[tex]\mathbf{p(7)=-256+2}[/tex]
Add -256 and 2
[tex]\mathbf{p(7)=-254}[/tex]
Hence, the value of the function p(x) for x = 7 is -254
Read more about functions at:
https://brainly.com/question/20377847
