Answer:
Please see explanation
Step-by-step explanation:
When two integers are being added there can be three cases in the answer
The sum will be positive if both the integers are positive and in case of addition of one positive and negative integer, the sum will be positive if the integer with larger magnitude is positive
The sum will be negative if both integers are negative and in case of addition of one positive and negative integer, the sum will be negative if the integer with larger magnitude is negative
The sum will be zero if both the integers have same magnitude and different signs.
SOLUTION:
8 batteries = $4.72
8 ÷ 8 = 4.72 ÷ 8
1 battery = $0.59
Therefore, the cost of per battery is $0.59.
(sorry if this isn’t the correct answer)
If x = 3 is a solution, (x - 3) is a factor of f(x).
2x³ + x² - 25x + 12 ÷ (x - 3) [by long division] = 2x² + 7x - 4
so f(x) = (x - 3)(2x² + 7x - 4)
f(x) = (x - 3)(2x - 1)(x + 4)
so 'zeros', or more correctly solutions, are: x = 3, x = 1/2 and x = -4.
[by setting each of the factors equal to 0 and solving for x].
(x + 3)(x + 5)
Because this accounts for everything accept the number of boxes.
H=7.
To convert to vertex form, we complete the square. This means we move the constant, c, to the other side.
y=x²-14x+29
y-29 = x²-14x+29-29
y-29=x²-14x
To find the number that we then add to both sides, we look at the value of b (coefficient of x). We take half of that number; -14/2 = -7. Then we square it; (-7)²=49. This means we add 49 to both sides:
y-29+49=x²-14x+49
Now we combine like terms on the left:
y+20=x²-14x+49
Write the right hand side as a square:
y+20 = (x-7)²
Now move the 20 on the left back to the right by subtracting it from both sides:
y+20-20=(x-7)²-20
y=(x-7)²-20
The value of h is 7.
