Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,

y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
= -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
= 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
Answer:
x = 3.33... or 10/3
Step-by-step explanation:
3(2x - 4) = 8
distribute the 3 into the parentheses
3 • 2x = 6x
3 • -4 = -12
6x - 12 = 8
add 12 to both sides
6x = 20
divide both sides by 6
x = 3.33... or 10/3
= a^21b^24c^10
use the product rules for each set of () then multiply them together. when multiplying variables with exponents you just add them together like for a^3 * a^5 = a^8. (a^3 b^12 c^2)^2 = (a^6 b^24 c^4)
Answer:
Her grocery bill was <u>$4.62</u>.
Step-by-step explanation:
There is some mistake in question so the correct question is:
Sherry bought 6 apples at 43¢ per apple. She then bought 4 oranges at 51¢ per orange. How much was her grocery bill?
Now, to find the grocery bill.
As the units are given:
<em>43¢ per apple and </em>
<em>51¢ per orange.</em>
$1 = 100¢.
So, the cost of 6 apples = 
Thus, the cost of 6 apples = $2.58
And the cost of 4 oranges = 
Thus the cost of 4 oranges = $2.04
Now, to get the total grocery bill we add the cost of apples and oranges:


Therefore, her grocery bill was $4.62.