7h+3s=27.95 subtract 7h from both sides
3s=27.95-7h divide both sides by 3
s=(27.95-7h)/3
Then we are told:
5h+4s=23.4, using s found above makes this equation become:
5h+4(27.95-7h)/3=23.4 multiply both sides by 3
15h+4(27.95-7h=70.2 perform indicated multiplication on left side
15h+111.8-28h=70.2 combine like terms on left side
-13h+111.8=70.2 subtract 111.8 from both sides
-13h=-41.6 divide both sides by -13
h=$3.20
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).
However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).
In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.
Answer:
Hi there!
Your answer is:
Small number = 20
Larger number = 77
Step-by-step explanation:
larger= 4s-3
smaller = s
s+ 4s-3 = 97
5s-3 = 97
+3
5s = 100
/5
s= 20
large number = 4(20)-3
80-3
larger = 77
Double check work!
20+77= 97✓
Hope this helps!
3 piano solos....each is 5/12 hr....
u can either add : 5/12 + 5/12 + 5/12 = 15/12 = 1 1/4 hrs
or u could multiply : 3 * 5/12 = 15/12 = 1 1/4 hs
either way....same answer
103.428571429 to 2 decimal places= 103.43
724/7 divided by 2 » (724/7) ÷ 2 » 103.428571429 ÷ 2 = 51.7142857143
