Answer:
(x, y) =(2,-3)
Step-by-step explanation:
4x+3y=-1
3x-9y=33 /:3
4x+3y=-1.....(1)
x-3y=11... (2)
(1)+(2): 5x=10
x-3y=11
x=10/5
x-3y=11
x=2
2-3y=11
x=2
-3y=11-2
x=2
-3y=9
x=2
y=9/(-3)
x=2
y=-3
(x,y)=(2,-3)
Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
= 
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
= [(2 × 5) + 2(n - 1) ]
= (10 + 2n - 2)
= (2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11
Answer:
The answer is 3 units.
Step-by-step explanation:
Answer:
$9.50h, $(9.50h +2.20rh)
Step-by-step explanation:
Every hour ----- $9.50
h hours ----- h ×$9.50
Amount of money Mr Smith earns in h hours
= $9.50h
If he fixes a watch per hour, additional income= $2.20h
If he fixes r watches per hour, additional income= $2.20rh
Total income
= $(9.50h +2.20rh)
Answer: Ix+10I
Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.
