Answer:
go on the y axis and go up to (0,3) that will be your first point then from there you go down 8 and right 1 so your point will be (-5,1)
Step-by-step explanation:
Make chart (rate=speed)
distance=time times rate
D=TR
T=D/R
R=D/T
D T R
J 60 x-2 y+10
M 50 x y
xy=50
(x-2)(y+10)=60
solve for x and y
xy=50
divde both sides by x
y=50/x
subsitute
(x-2)(50/x+10)=60
distribute
50x/x-100/x+10x-20=60
50-100/x+10x-20=60
add like terms
10x-100/x+30=60
10x^2/x-100/x+30=60
(10x^2-100)/x+30=60
subtract 60 from both sides
(10x^2-100)/x-30=0
add 30 to both sides
(10x^2-100)/x=30
multiply both sides by x
10x^2-100=30x
subtract 30x from both sides
10x^2-30x-100=0
factor out the 10
(10)(x^2-3x-10)=0
if you have xy=0 then x and/or y=0 so
10≠0 so (x^2-3x-10)=0
factor by finding what 2 numbers multiply to get -10 and add to get -3
the numbers are -5 and 2 so
(x^2-3x-10)=(x-5)(x+2)=0
so x-5=0
x+2=0
x-5=0
add 5 to both sides
x=5
x+2=0
subtract 2 from both sides
x=-2
false since time cannot be negative
x=5
x times y=50
x=5
5 times y=50
divid eby 5
y=10=Maureen's speed
y+10=10+10=20=Jenny's speed
Jenny's speed is <u>20</u> miles per hour
Maureen's speed is <u>10</u> miles per hour
Answer: 7y-6
Step-by-step explanation:
Difference is the same as take away.
Therefore, the difference of 10y and 3y+6 is the same as 10y take away 3y+6
Set up the equation then to be
10y-(3y+6)
-(3y+6)=-1(3y+6)
10y-1(3y+6)
distribute the -1
10y-3y-6
Combine like terms
7y-6
The answer is Letter B - 2, 8, 26
<span>Given: an=3an-1+2 ; where a2=8
Required: First three terms of the sequence - a1, a2, a3
Solution:
You need to work back to get a1 since the given is a2.</span><span>
To work back, minus 2 from 8 first before dividing the number by 3.
a1 = 8 - 2
a1 = 6 / 3
a1 = 2
In getting a3, multiply the given 8 by 3 then add 2. </span>an=3an-1+2 : a3=3(8)+2<span>
a3 = 8 x 3
a3 = 24 + 2
a3 = 26</span>
Are you solving for x? If not the answer is 21.14893616