Which of the following is a factor of 2x^2–7x–15

2x–3
x–5
2x–5
x–3

double bracket factorisation

2 × 15 = 30

find two factors of 30 that add to give -7

(-10, +3)

2x^2 -10x + 3x - 15

2x(x-5) + 3 (x-5)

(2x+3) (x-5)

THE ANSWER IS X-5

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft