4/9 divided by 2/3 divided by 5/6 = 4/5
when you divided by two fractions, you can flip the denominator and numerator and then mutiply
Factor the denominators.
Adjust fractions based on LCM.
Denominators are same, so add the fractions.
Expand the numerator.
For this case we have the following functions:
f (x) = 3x + 4
g (x) = 2 ^ x - 1
The intersection with the y axis of the original functions is:
f (0) = 3 (0) + 4 = 0 + 4 = 4
g (0) = 2 ^ 0 - 1 = 1 - 1 = 0
The transformations that must be applied so that they have the same intersection with the y axis are:
f (x) - 3
g (x) + 1
Answer:
f (x) - 3
g (x) + 1
option 1
I think it is 6 7/8 since 2 3/4 x 2 1/2 =6 7/8
Notice that
y² - 20y + 100 = y² - 2•10y + 10² = (y - 10)²
Then
√(y² - 20y + 100) = y - 10
is equivalent to
√((y - 10)²) = y - 10
|y - 10| = y - 10
If y ≥ 10, then |y - 10| = y - 10, and
y - 10 = y - 10 ⇒ 0 = 0
so there are infinitely many solutions, y ≥ 10.
Otherwise, if y < 10, then |y - 10| = -(y - 10), and
-(y - 10) = y - 10 ⇒ 10 = -10
which is false, so there are no solutions in this case.
