Rachel and her sister Fran together can paint the living room in 
hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint 
th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint 
th part of the living room in 1 hour
By proportions,
⇒
+= {using operation proportions and addition}
⇒
=
⇒x=
⇒ together they can paint th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in hours
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Given:
The function is
To find:
The zeros of the given function.
Solution:
The general form of polynomial is
...(i)
where, a is a constant, 
are zeros of respective multiplicities 
.
We have,
On comparing this with (i), we get
It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>
Answer:
14.0% increase
Step-by-step explanation:
One formula you can use for this is ...
percent change = ((new value)/(old value) -1) × 100%
= (65/57 -1) × 100%
≈ 0.1403 × 100%
≈ 14.0% . . . . . . the positive sign indicates an increase
