1 1. Venüs'ün kendi aralarında özdeş 3 tür
kitabının her birinin kilogram cinsinden
kütleleri ve kitap sayıları aşağıda verilmiştir.
5 Adet- Hikaye
5 Adel- Blum
22H
(
118kg
5 Adel- Roman
Gol kg
Bu kitaplardan bazıları yukarıdaki gibi en
fazla 1200 gr taşıyabilen rafa dizilecektir.
Buna göre Venüs kalan kitaplardan en fazla
kaç tanesini rafa koyabilir? (1 kg = 1000 gr)
1
A 13
B. 12
C. 11
D. 14​

7

step-by-step explanation:

the answer would be 7

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.