Answer:
b
Step-by-step explanation:
The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is

and similarly, the r% of female is

The number of males decreased by this quantity, so now it is

and the number of female increased by this quantity, so now it is

we know that these two new counts are the same number, so we can build and solve the equality

Subtract 20 and add 0.3r from both sides:

Divide both sides by 0.5 to solve for r:

Let's check the answer
The 20% of 30 is
, while the 20% of 20 is 4. So, we are stating that
which is true because both expressions evaluate to 24.
Answer:
y = -x + 1
Step-by-step explanation:
(-4,5) (1,0)
Find distance through a number line.
Distance(Slope):
(5,-5)
Slope form:
y/x, Apply:
-5/5
Reduce:
-1/1 or -1
To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):
(1,0) use slope -1x to get x to zero:
= (0,1)
y-intercept: (0,1)
Now write in slope-intercept form:
y = mx + b
so,
y = -1x + 1 or y = -x + 1 or y = -1/1x + 1
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)