Answer:
16
Step-by-step explanation:
Subtracting the given expressions, that is
3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16
Answer:
wait do you mean pfp?-
Step-by-step explanation:
Infinitely many solutions.I will try to solve your system of equations.<span><span><span><span>3x</span>+y</span>=9</span>;<span><span>3x</span>=<span><span>−y</span>+9</span></span></span>Step: Solve<span><span><span>3x</span>+y</span>=9</span>for y:<span><span><span><span>3x</span>+y</span>+<span>−<span>3x</span></span></span>=<span>9+<span>−<span>3x</span></span></span></span>(Add -3x to both sides)<span>y=<span><span>−<span>3x</span></span>+9</span></span>Step: Substitute<span><span>−<span>3x</span></span>+9</span>foryin<span><span><span>3x</span>=<span><span>−y</span>+9</span></span>:</span><span><span>3x</span>=<span><span>−y</span>+9</span></span><span><span>3x</span>=<span><span>−<span>(<span><span>−<span>3x</span></span>+9</span>)</span></span>+9</span></span><span><span>3x</span>=<span>3x</span></span>(Simplify both sides of the equation)<span><span><span>3x</span>+<span>−<span>3x</span></span></span>=<span><span>3x</span>+<span>−<span>3x</span></span></span></span><span>(Add -3x to both sides)
so ur answer is
</span><span>Infinitely many solutions.</span><span>
</span>
Answer:
D) 4
Step-by-step explanation:
To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.
C and B are acute angle because we can eyeball that they are less then 90 degrees.
A is most likely to be a right angle because their are two perpendicular straight lines.
D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.
A polynomial ppp has zeros when x=-2x=−2x, equals, minus, 2, x=\dfrac13x= 3 1 x, equals, start fraction, 1, divided by, 3, end
Veronika [31]
Answer:
Polynomial equation is, ![p=(x+2)(3x-1)(x-3)=3x^3-4x^2-17x+6](https://tex.z-dn.net/?f=p%3D%28x%2B2%29%283x-1%29%28x-3%29%3D3x%5E3-4x%5E2-17x%2B6)
Step-by-step explanation:
Given:
The zeros of the polynomial,
, are
.
Therefore,
![x= -2\\(x+2)=0](https://tex.z-dn.net/?f=x%3D%20-2%5C%5C%28x%2B2%29%3D0)
So,
is a factor of the polynomial.
![x=\frac{1}{3}\\3x=1\\3x-1=0](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B3%7D%5C%5C3x%3D1%5C%5C3x-1%3D0)
So,
is a factor of the polynomial.
![x=3\\x-3=0](https://tex.z-dn.net/?f=x%3D3%5C%5Cx-3%3D0)
So,
is also a factor of the polynomial.
Therefore, a polynomial can be expressed in terms of the product of its factors.
Thus, ![p=(x+2)(3x-1)(x-3)](https://tex.z-dn.net/?f=p%3D%28x%2B2%29%283x-1%29%28x-3%29)
Expanding
, we get
![(x+2)(3x-1)=3x^2-x+6x-2=3x^2+5x-2](https://tex.z-dn.net/?f=%28x%2B2%29%283x-1%29%3D3x%5E2-x%2B6x-2%3D3x%5E2%2B5x-2)
Now, expanding
, we get
![(3x^2+5x-2)(x-3)=3x^3-9x^2+5x^2-15x-2x+6=3x^3-4x^2-17x+2](https://tex.z-dn.net/?f=%283x%5E2%2B5x-2%29%28x-3%29%3D3x%5E3-9x%5E2%2B5x%5E2-15x-2x%2B6%3D3x%5E3-4x%5E2-17x%2B2)
Therefore, the polynomial could be ![p=(x+2)(3x-1)(x-3)=3x^3-4x^2-17x+6](https://tex.z-dn.net/?f=p%3D%28x%2B2%29%283x-1%29%28x-3%29%3D3x%5E3-4x%5E2-17x%2B6)