#1 = 12 units
#2 = 5.1 I think
#3...
Answer:
first one
Step-by-step explanation:
move (n)x to the other side of the equation and then divide by n)y and then you have your equation and then find the graph that matches them
<u>Given</u><u> </u><u>:</u>
- White balls = 5
- Red balls = 8
- Yellow balls = 7
- Green balls = 4
<u>Answer</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>
We know that,
- P (E) = No. of favourable outcomes / Total number of outcomes.
>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 4 green balls. Therefore,
- P (E) = 4 / 24
- P (E) = 2 / 12
- P (E) = 1 / 6
<u>Answer</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u>
We know that,
- P (E) = No. of favourable outcomes / Total number of outcomes.
>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 8 red balls. Therefore,
- P (E) = 8 / 24
- P (E) = 4 / 12
- P (E) = 2 / 6
- P (E) = 1 / 3
<u>Answer</u><u> </u><u>3</u><u> </u><u>:</u><u>-</u>
We know that,
- P (E) = No. of favourable outcomes / Total number of outcomes.
>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 15 balls that are neither green nor white. (Red balls+ yellow balls)
- P (E) = 15 / 24
- P (E) = 5 / 8
Answer:
Step-by-step explanation:
17.
18.
f(x)=6x^2+7x-4
(a)
f(3)=6(3)^2+7(3)-4
=54+21-4
=71
(b)
f(m)=6m^2+7m-4
(c)
f(x+1)=6(x+1)²+7(x+1)-4
=6(x²+2x+1)+7x+7-4
=12x²+12x+6+7x+7-4
=12x²+19x+9
19.
(fg)(x)=f(g(x)=f(2x²+3)=2x²+3+5=2x²+8
20.
(a)
f(x)=x²+3x+4
domain:all real values
(b)
domain:all real values≥-2
(c)f(x)=log(x+7)
Domain:x≥-7
21.
x²+6x+y²-7=0
(x²+6x+6/2)²)-(6/2)²+y²=7
(x+3)²+y²=7+9
(x+3)²+y²=4²
center=(-3,0)
radius=4
22.
(x-3)²+(y-5)²=3²
or
x²-6x+9+y²-10y+25=9
x²+y²-6x-10y+25=0
Graph is for 17th question.