X=dimes y=quarters
0.1x + 0.25y = 2.95
x+y = 16
from the second equation, x = 16 - y and thus 0.1 (16-y) +0.25y = 2.95 ==> y=9. Finally, x + 9 = 16 ==> x=7
7 dimes, 9 quarters
Answer:
Step-by-step explanation:
Line AH and line BG are parallel
Answer:
11-6√3 = a -b√3
where a=11 and b =6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given

Rationalize
= 
= 
= 
= 
<u><em>Step(ii):-</em></u>
<em>Multiply</em>
<em> </em>
= 5 × 7 - 5×4√3 + 2√3 ×7 - 2√3 × 4√3
= 35 -20√3+ 14√3-8×3
= 35 - 6√3 -24
= 11-6√3
Lim x->1 (x^2+8x-2)
substitute x =1
= 1^2 +8(1)-2
= 1 +8 -2
= 7
So the limit = 7