1. f(x) = 9x² + 6x - 8
f(x) = (3x - 2)(3x + 4)
When (3x - 2) = 0, then x = 2/3
When (3x + 4) = 0, then x = -4/3
Answer: The zeros are two divided by three and negative four divided by three.
2. f(x) = 9x³ - 45x² + 36x
f(x) = 9x(x² - 5x + 4)
= 9x(x - 1)(x - 4)
When 9x = 0, then x = 0
When (x-1) = 0, then x = 1
When (x-4) = 0, then x = 4
Answer: 0, 1 and 4
3. f(x) = 4(x+7)²(x-7)³
When (x+7)² = 0, then x = -7 (twice)
When (x-7)³ = 0, then x = 7 (thrice)
Answer: 7, multiplicity 2; -7 multiplicity 3
4. The zeros of f(x) are √5, -√5, -7
The factors of f(x) are (x-√5)(x+√5)(x+7)
Note that (x-√5)(x+√5) = x² - (√5)² = x² - 5
f(x) = (x²-5)(x+7)
= x³ + 7x² - 5x - 35
Answer: f(x) = x³ + 7x² - 5x - 35
5. Expand (2x + 4)³
From Pascal's Triangle, the coefficients are 1 3 3 1
Therefore
(2x + 4)³ = 1(2x)³(4)⁰ + 3(2x)²(4)¹ + 3(2x)¹(4)² + 1(2x)⁰(4)³
= 8x³ + 48x² + 96x + 64
Answer: 8x³ + 48x² + 96x + 64
Answer:
Research mo sa goole diba tama
Step-by-step explanation:
Diba ma tig nan
Answer:
17
Step-by-step explanation:
since you are given that x is 9 all you have to do is plug it in. So 1-2(9) 2 times 9 is 18 so 1-18=17
Answer:
15 boys
Step-by-step explanation:
Whatever number one side of the ratio is multiplied by, the other side has to be multiplied by that same number. So, we have to find the number that 4 is multiplied by to get 20. We can represent this as an equation, where the unknown number is x:
4x = 20
Divide both sides of the equation by 4 to find the value of x:
x = 5
4 was multiplied by 5 to get 20.
To find the number of boys, multiply 3 by 5:
3 * 5 = 15
If there are 20 girls, there will be 15 boys.
Answer:
Rel. Minimum- -0.3
Rel. Maximum - None
Increasing on: -0.3, infinity
Decreasing on: -Infinity, -0.3
Step-by-step explanation:
f(x) = 3x + 7x2 + x +5
To find the relative minimum, punch the equation into your graphing calculator and you should get -2/7 as your minimum. (Divide it for a decimal number)
There is no relative maximum because of this parent function type.
Increasing on: -2/7, infinity
And Decreasing on: -infinity, -2/7
