Answer:
False
Step-by-step explanation:
When multiplying two exponential numbers you add their powers together : (n3)(n7) = n10
so the expression is false
Not sure what the question is, but this is 4/10 or 0.4.
9514 1404 393
Answer:
23) x = ±3i, ±√2
26) x = 4/3, (-2/3)(1 ± i√3)
Step-by-step explanation:
23) Put in standard form to make factoring easier.
x^4 +7x^2 -18 = 0
(x^2 +9)(x^2 -2) = 0 . . . . factors in integers
Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:
(x -3i)(x +3i)(x -√2)(x +√2) = 0
x = ±3i, ±√2
___
26) This will be the difference of cubes after you remove the common factor.
81x^3 -192 = 0
3(27x^3 -64) = 0
(3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes
The complex roots of the quadratic can be found using the quadratic formula.
x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)
Then the three solutions to the equation are ...
x = 4/3, (-2/3)(1 ± i√3)
D. 140 cm, because 5 x 4=20 and 20 x 7 is 140.
Answer:
12 days
Step-by-step explanation:
Let the amount of work be x.
John:
6 days = x
1 day =
x
Together:
4 days = x
1 day =
x
Marsha:
1 day =
x -
x
=
x -
x
=
x
=
x
Marsha can do
of the work in 1 day.
No. of days taken (Marsha) = x ÷
x
= 12