<span>f(x) = -3x^2</span>
insert x=2
y=-3*2^2
y=-3*4
y=-12
so your pair is (2,-12)
X to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Answer:
a = 3
Step-by-step explanation:
![p(x) = 2x^{3} + ax^{2} +3x -3\\f(x) = x^{3} + x^{2} - 4x + a](https://tex.z-dn.net/?f=p%28x%29%20%3D%202x%5E%7B3%7D%20%2B%20ax%5E%7B2%7D%20%2B3x%20-3%5C%5Cf%28x%29%20%3D%20x%5E%7B3%7D%20%2B%20x%5E%7B2%7D%20-%204x%20%2B%20a)
To get the remainder when these polynomials are divided by x - 2, subsitute(x = 2) into both functions.
![p(2) = 2(2^{3}) + a(2^{2}) +(3*2) -3\\p(2) = 19 - 4a\\f(2) = 2^{3} + 2^{2} - (4*2) + a\\f(2) = 4 + a](https://tex.z-dn.net/?f=p%282%29%20%3D%202%282%5E%7B3%7D%29%20%2B%20a%282%5E%7B2%7D%29%20%2B%283%2A2%29%20-3%5C%5Cp%282%29%20%3D%2019%20-%204a%5C%5Cf%282%29%20%3D%202%5E%7B3%7D%20%2B%202%5E%7B2%7D%20-%20%284%2A2%29%20%2B%20a%5C%5Cf%282%29%20%3D%204%20%2B%20a)
Since the remainders are the same, p(2) = f(2)
19 - 4a = 4 + a
19 - 4 = a + 4a
15 = 5a
a = 15/5
a = 3
Answer:
7,-7 are the solutions
Step-by-step explanation:
Not a perfect square so its
+-7
I would go with -7 since its the lowest amount
Simple,
x+7= 18-2x
you want isolate the variable, x, to find what it's value is...
x+7=18-2x
+2x +2x
Making it..
3x+7=18
still not done...finish isolating the variable...
3x+7=18
-7 -7
3x=11
![\frac{3x}{3x} = \frac{18}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3x%7D%20%3D%20%5Cfrac%7B18%7D%7B3%7D%20)
=
![\frac{11}{3}=3.7 (rounded)](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B3%7D%3D3.7%20%28rounded%29%20)
Thus, your answer is, x=
![\frac{11}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B3%7D%20)
.