M= 6- -9 / 2- -1 = 6+9 / 2+1 = 15/3 = 5
y-6=5(x-2)
y-6=5x-10
y=5x-4
-9=5(-1)-4
-9=-5-4
-9=-9
6=5(2) -4
6=10-4
6=6
Step 1: find the slope using the formula m=y2-y1/x2-x1
Step 2: plug the slope and one point into the point-slope formula and solve to find the equation of the line in y=mx +b form.
Step 3: test both points to see if the equation works.
Answer:
He played 40 matches in total, scoring 32 goals.
Step-by-step explanation:
Since after a certain number of football matches, a footballer averages 1 goal per game, and he only scored 2 goals in the next 10 games and his average dropped to 0.8 goals per game, to determine how many football matches did he play altogether you must perform the following calculation:
10/10 + 2/10 = 12/20 = 0.6
8/8 + 2/10 = 10/18 = 0.55
12/12 + 2/10 = 14/22 = 0.64
20/20 + 2/10 = 22/30 = 0.73
24/24 + 2/10 = 26/34 = 0.76
30/30 + 2/10 = 32/40 = 0.8
Thus, he played 40 matches in total, scoring 32 goals.
9514 1404 393
Answer:
$26.75
Step-by-step explanation:
The after-discount price is 85% of the original price. So, the original price is ...
0.85 × p = 22.74
p = 22.74/0.85 = 26.75 . . . . . divide by the coefficient of p
The regular price is $26.75.
Cross multiply
(x-6)(x+3)=x²-6x+3x+18=x²-3x+18
(x+7)(x+5)=x²+7x+5x+35=x²+12x+35
that means the inequality is
x²-3x+18≥x²+12x+35 which simplifies to
<em>—17≥15x or 15x+17≤0</em>
