Answer:
and 
.
Step-by-step explanation:
So I believe the problem is this:
where we are asked to find values for 
and 
such that the equation holds for any 
in the equation's domain.
So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).
In other words this will clear the fractions.
As you can see there was some cancellation.
I'm going to plug in -7 for x because x+7 becomes 0 then.
Divide both sides by -10:
Now we have:
with
I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.
Divide both sides by 10:
So and .
Answer:
a.
Step-by-step explanation:
I believe it's Voluntary Response Bias
To solve this first find the area of each of the white shapes inside the rectangle
The formula for the area of a circle is:
A = πr²
In this case we know that the radius is 2
Plug what you know into the area of a circle formula:
A = π2²
A = π4
A = 4π
A ≈ 12.57
The formula for the area of a square is:
A = Length x Height
In this case we know that both length and height are 3
Plug what you know into the formula for area of a square:
A = 3 x 3
A = 9
To find the area of the UNSHADED region simply add together the area of the circle (12.57) with the area of the square (9):
12.57 + 9 ≈ 21.57
To find the area of the SHADED region find the total area of the surrounding rectangle then subtract the area of unshaded area from the total area of the surrounding rectangle.
The formula for the area of a rectangle is:
A = Length x Height
The length is 10 and the height is 7
A = 10 x 7
A = 70
Shaded region:
70 - 21.57 = 48.43
Unshaded region: 21.57
Total area of surrounding rectangle: 70
Shaded region: 48.43
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
$31.5
Step-by-step explanation:
Answer: 2 cups
Step-by-step explanation:
