Can someone explain to me how to do this ? because i don’t understand it i mean i get it but what does reflection across y=-2 ?

I'[−3, −2], Q'[2, 0], ?'[0, 1], E'[−3, −1]

Step-by-step explanation:

The line of reflection is at y = −2, so looking at the line and where the coordinates of the shape are, you will have this:

I[−3, −2] → I'[−3, −2] (on the line, so it remains the same)

Q[2, −4] → Q'[2, 0]

?[0, −5] → ?'[0, 1]

E[−3, −3] → E'[−3, −1]

I am joyous to assist you anytime.

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

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week