4 If 16f + 24 = 8(2 + 3), what is the value of F? (TEKS:
F f = 1
G Infinitely many solution
H No solution
) f = 24

f=1

Step-by-step explanation:

first you add 2+3 then you multiply by 8 and you get 40. to get f by itself you subtract the 24 from the left side to be left with 16f=16. You then divide and get f=1

Step-by-step explanation:

we are given some coordinates

(1,6),(2,19),(3,38),(4,63),(5,94)

we want to figure out the quadratic equation which passes those coordinates

notice that, the coordinates in quadratic sequence

we know that,

A sequence is quadratic if and only if it has second difference

recall that,

these formulas are necessary to figure out a,b and c

because we know that

Quadratic equation standard form:

therefore to figure out a,b and c these formulas are important

let's figure out a:

we got that 2nd difference is 6 thus

divide both sides by 2

let's figure out b:

by using the second formula we can figure out b

our and are 6 and 19 respectively

substitute:

simplify multiplication:

simplify substraction:

cancel 9 from both sides:

let's figure out c:

our is 6

substitute:

simplify addition:

cancel 7 from both sides:

altogether substitute a,b and c to quadratic equation:

and we are done!