Answer:
see below
Step-by-step explanation:
5x + y=10
Let x = 0 and y = 5
5*0 +5 = 10
0+5 = 10
5 =10
This is not true so (0,5) is not a solution
Step-by-step explanation:
0.75 yard = 1 costume
1 yard = 1/0.75 =4/3 costume
6 yards = 4/3 × 6 = 8 costumes
if you wanna check,
8 costumes = 6 yards
1 costume = 6/ 8
= 3/4 (0.75) yard
Answer:
15 miles over
Step-by-step explanation:
r=d/t
r= 165/2.2
rate=75
75 miles - 60 miles=
15 miles
Answer: -1/3
(7,-1)= (x1,y1)
(-2,2)= (x2,y2)
Slope=
=
=
1/-3 is the same thing as -1/3
The only factoring you need to do is already done for you:
<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)
What you're asked to do is decompose
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)
into partial fractions, i.e. find <em>a</em> and <em>b</em> such that
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)
Multiply both sides by <em>x</em>² + <em>x</em> - 12 :
3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)
3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)
So we have
<em>a</em> + <em>b</em> = 3
-3<em>a</em> + 4<em>b</em> = -4
and solving this system gives
<em>a</em> = 16/7 and <em>b</em> = 5/7
so you should submit the numbers in bold:
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))
