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user100 [1]
3 years ago
5

Given that

Mathematics
2 answers:
Alexus [3.1K]3 years ago
5 0
A) Substitute -6 for where x is in the expression...
g(-6) = 3(-6)^2 + 2(-6) + 5
g(-6) = 3(36) + 2(-6) + 5
g(-6) = 108 + 2(-6) + 5
g(-6) = 108 - 12 + 5
g(-6) = 96 + 5
g(-6) = 101

b) Substitute (p + 2) into where x is...
g(p + 2) = 3(p + 2)^2 + 2(p + 2) + 5
g(p + 2) = 3(p + 2)(p + 2) + 2(p + 2) + 5
g(p + 2) = 3(p^2 + 4p + 4) + 2(p + 2) + 5
g(p + 2) = 3p^2 + 12p + 12 + 2(p + 2) + 5
g(p + 2) = 3p^2 + 12p + 12 + 2p + 4 + 5
g(p + 2) = 3p^2 + 14p + 21

Lelu [443]3 years ago
5 0
A.
sub -6 for x

g(-6)=3(-6)^2+2(-6)+5
g(-6)=3(36)-12+5
g(-6)=108-7
g(-6)=101



b.
sub p+2 for x
g(p+2)=3(p+2)^2+2(p+2)+5
g(p+2)=3(p^2+4p+4)+2p+4+5
g(p+2)=3p^2+12p+12+2p+9
g(p+2)=3p^2+14p+21
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The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?
klemol [59]

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10cm ( A )

Step-by-step explanation:

This would use the Pythagorean Theorem. That means it would be -

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then 36+64=c

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8 0
3 years ago
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Find all solutions in the interval [0, 2π). tan x + sec x = 1
svp [43]
Use the identity 
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tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x  = 1 + tan^2x - 2 tan x
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3 years ago
Help me out hunnys ❤️
Alenkinab [10]

Answer:

g(x)=3(x+3)^2-8

Step-by-step explanation:

You can solve by using these acronyms.


H. orozontal.

I. nside.

O. pposite.


Meaning that a horozontal translation would be written inside the parenthesis and the poopsite sigh you would usually (Ex. Left is usually negitave but in this case it is positive).


The other acronym is,


V. erticle.

O. utside.

S. ame.


Meaning for a vrerticle translation the number would go on the outside of the parenthesis and tha sign would be normal (Ex. Negitave would be left and positive would be right).


For this one use H.I.O sinse you are moving on a horozontal plain. You are only working with the (x-2) nothing else matters.


Since you are moving left the number will move up 3 hence the O.


<h2><u>This transformation leaves you with g(x)=3(x+3)^2-8</u></h2>



3 0
3 years ago
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