Answer:
12.2+(-5a)
Step-by-step explanation:
8+4a+6.2-9a
=(8+6.2)+(4a-9a)
=12.2+(-5a)
Answer:
D
Step-by-step explanation:
3,11,23, and 31 can only be divided by 1 without becoming a decimal.
Answer:
The interest is $1500 and the amount is $6500.
Step-by-step explanation:
I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
P = $5000, i = 10% and t = 3 years
5000×0.1×3=1500
5000+1500=6500
<h3>
Answer:</h3>
A. 3x² +6
<h3>
Explanation:</h3>
(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions
... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses
... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms
... = 3x² +6
Answer:
![\displaystyle [-1, -4] → Vertex \\ [0, -3] → y-intercept \\ [-3, 0], [1, 0] → x-intercepts](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B-1%2C%20-4%5D%20%E2%86%92%20Vertex%20%5C%5C%20%5B0%2C%20-3%5D%20%E2%86%92%20y-intercept%20%5C%5C%20%5B-3%2C%200%5D%2C%20%5B1%2C%200%5D%20%E2%86%92%20x-intercepts)
Step-by-step explanation:
The y-intercept is your <em>C</em>, which is −3.
Now, to get both x-intercepts, factor the trinomial:
![\displaystyle [x - 1][x + 3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Bx%20-%201%5D%5Bx%20%2B%203%5D)
When set equal to zero, you will get −3 and 1.
Finally, to get the vertex, convert this Quadratic Equation to <em>Vertex Form</em> by completing the square,
:
![\displaystyle f(x) = x^2 + 2x - 3 \\ f(x) = x^2 + 2x + 1 + k \\ f(x) = x^2 + 2x + 1 - 4 \\ \\ f(x) = [x + 1]^2 - 4 → [-1, -4] = Vertex](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%20%3D%20x%5E2%20%2B%202x%20-%203%20%5C%5C%20f%28x%29%20%3D%20x%5E2%20%2B%202x%20%2B%201%20%2B%20k%20%5C%5C%20f%28x%29%20%3D%20x%5E2%20%2B%202x%20%2B%201%20-%204%20%5C%5C%20%5C%5C%20f%28x%29%20%3D%20%5Bx%20%2B%201%5D%5E2%20-%204%20%E2%86%92%20%5B-1%2C%20-4%5D%20%3D%20Vertex)
* Recall, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.