Answer:
b) Commutative property is true for subtraction of Rational numbers
Step-by-step explanation:
- Option B is incorrect.
- Commutative property is not true for subtraction of Rational numbers .
Input is 4.
Process machine:
Input > - 7 > ÷ 3 > Output
Solve:
(Input) 4 - 7 = <u>-3</u>
<u>-3</u> ÷ 3 = <u>-1 </u>(Output)
Input = 4
Output = -1
Hello.
(x + 2y) • (x - 13y)
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> ((x2) - 11xy) - (2•13y2)
</span><span>Step 2 :</span>Trying to factor a multi variable polynomial :
<span> 2.1 </span> Factoring <span> x2 - 11xy - 26y2</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Found a factorization : (x + 2y)•(x - 13y)
Final result : (x + 2y) • (x - 13y)
<span>
Have a nice day</span>
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
