Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ±
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
Part 1)
-------> 
Part 2)
--------> 
Part 3)
------> 
Part 4)
------> 
Step-by-step explanation:
Part 1) we have

To calculate the division problem convert the decimal number to fraction number
so

Remember that
Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Simplify
Divide by 22 both numerator and denominator

Part 2) we have

To calculate the division problem convert the mixed number to an improper fraction

so

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Convert to mixed number

Part 3) we have

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

Simplify
Divide by 5 both numerator and denominator

Part 4) we have

To calculate the division problem convert the mixed number to an improper fraction

so

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

9514 1404 393
Answer:
19. B -- continued, but modest ...
Step-by-step explanation:
19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.
__
20. The percentage change from 2005 to 2010 is ...
(60 -20)/20 × 100% = 2 × 100% = 200%
One might compute an average rate of change per year of ...
200%/(5 yr) = 40%/yr
_____
<em>Additional comment</em>
As with any statement of percentage, you need to be very clear about what the base is.
Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
Answer:
p=1
Step-by-step explanation:
Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.
Sample size = 64
Std error of sample = 
Thus sample mean will follow normal with
(75, 0.625)
Required probability
=
It is almost a certain event with p =1