2a^2 + 3a + 1
= 2a^2 + 2a + a + 1
= 2a(a + 1) + 1 (a + 1) ( a + 1) is common)) so it is
= (2a + 1)(a + 1) (answer)
Let consecutive odd numbers be
x , x+2 , x+4
Smallest number =x
Middle number =x+2
Largest number =x+4
According to condition (x) +(x+2) -27 = 3(x+4)
x+x+2-27= 3(x+4)
2x-25= 3x+12
Subtracting 2x and 12 both sides
2x-25-2x-12=3x+12-2x-12
-37= x this is smallest odd number.
Other two odd numbers are (x+2)= (-37+2)=(-35)
& (x+4)=(-37+4)=(-33)
so three consecutive odd numbers are -37 ,-35 , -33
The probability that the card is not yellow is
<em><u>Solution:</u></em>
<em><u>The probability of an event is given as:</u></em>
From given,
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards
Total number of possible outcomes = 8 + 8 + 2 = 18
Favorable outcome = card is not yellow
Favorable outcome = card is blue or green = 8 + 2 = 10
Therefore,
Thus the probability that the card is not yellow is 5/9
Answer:
Step-by-step explanation:
Use this formula:
y - y1 = m ( x - x1 )
We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5
Put these values into the formula above and you get:
y - y1 = m ( x - x1 )
y - 5 = -3 ( x - 12 )
y - 5 = -3x + 36
y = -3x + 36 + 5
y = -3x + 41