Answer:
For the first one:
yes
constant rate of 4 inches of perimeter/per inch of side length
For the second:
no
not a constant rate
If you would like to find the value of a in the polynomial, you can do this using the following steps:
(y - 4)(y^2 + 4y + 16) = y^3 + 4y^2 + 16y - 4y^2 - 16y - 64 = y^3 + 4y^2 + ay - 4y^2 - ay - 64
a = 16
The correct result would be 16.
Answer:
x = 9
Step-by-step explanation:
Solve for x:
11 - x/3 = 8
Put each term in 11 - x/3 over the common denominator 3: 11 - x/3 = 33/3 - x/3:
33/3 - x/3 = 8
33/3 - x/3 = (33 - x)/3:
(33 - x)/3 = 8
Multiply both sides of (33 - x)/3 = 8 by 3:
(3 (33 - x))/3 = 3×8
(3 (33 - x))/3 = 3/3×(33 - x) = 33 - x:
33 - x = 3×8
3×8 = 24:
33 - x = 24
Subtract 33 from both sides:
(33 - 33) - x = 24 - 33
33 - 33 = 0:
-x = 24 - 33
24 - 33 = -9:
-x = -9
Multiply both sides of -x = -9 by -1:
(-x)/(-1) = 9
(-1)/(-1) = 1:
Answer: x = 9
Answer:
0.688 or 68.8%
Step-by-step explanation:
Percentage of high school dropouts = P(D) = 9.3% = 0.093
Percentage of high school dropouts who are white = = 6.4% = 0.064
We need to find the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old. This is conditional probability which can be expressed as: P(W | D)
Using the formula of conditional probability, we ca write:
Using the values, we get:
P( W | D) =
Therefore, the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is 0.688 or 68.8%
Answer:
centre = (2, - 3 ) and radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r = = 5