Answer:
0, ±1, ±7,±1/3, and ±7/3
Step-by-step explanation:
In the function:
3x^5 - 2x² + 7x
x can be extracted as the greatest common factor, as follows:
x(3x^4 - 2x + 7)
then, zero is one root of the function.
According to Rational Root Theorem:
possible rational roots = factors of the constant/factors of the leading coefficient
For this case, factors of the constant (7) are: ±1 and ±7
For this case, factors of the leading coefficient (3) are: ±1 and ±3
Then:
possible rational roots = ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3
Answer:
-37
Step-by-step explanation:
Simplifying
74 + 2x = 0
Solving
74 + 2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-74' to each side of the equation.
74 + -74 + 2x = 0 + -74
Combine like terms: 74 + -74 = 0
0 + 2x = 0 + -74
2x = 0 + -74
Combine like terms: 0 + -74 = -74
2x = -74
Divide each side by '2'.
x = -37
Simplifying
x = -37
Answer:
103.62
Step-by-step explanation:
If I am understanding this question correctly you want the answer for how much the total would be for a 38% markup at a starter price of 75.09.
In which case it would be 103.62.
It is a 28.53 increase.
Answer:
5 different orders. hope this help
Answer: the box contained 9 square chocolates and 15 round chocolates.
Step-by-step explanation:
Let x represent the number of square chocolates contained in the box.
Let y represent the number of round chocolates contained in the box.
The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that
10x + 8y = 210- - - - - - - - - - -1
The number of round chocolates is 3 less than twice the number of square chocolates. It means that
y = 2x - 3
Substituting y = 2x - 3 into equation 1, it becomes
10x + 8(2x - 3) = 210
10x + 16x - 24 = 210
26x = 210 + 24
26x = 234
x = 234/26
x = 9
y = 2x - 3 = 2 × 9 - 3
y = 18 - 3
y = 15
