Answer:
C
Step-by-step explanation:
both 4 and -4 are the same distance from 0
Answer:
Answer J
Step-by-step explanation:
To simplify the concept, we can change the inequality to y+3 >= 5. The variable "y" is "-1/2(x)" We know that y must be greater than or equal to "two." The only way this is possible is if x itself is equal to or less than -4.
7x + 5 = 8x - 25
- 5 = -8x -5
-------------------------------
7x - 8x = - 5 - 25
-1x = - 30
----- -------
-1 -1
x = 30
Answer:
x⁴ + x³ + 4x² - 5x
Step-by-step explanation:
The polynomials given in the question are:
x⁴ - 3x + 1
4x² - 2x + 8
x³ - 9
We have to add all them
First write all the polynomial in the summation form:
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
Open the brackets:
x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
Group together the similar terms
(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)
Finding the sum in brackets:
x⁴ + x³ + 4x² + (-5x) + (0)
x⁴ + x³ + 4x² - 5x
Note that the sum is in descending powers of x
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
Standard form of a parabola:
Let's find the vertex of this parabola.
In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
Simplify using PEMDAS.
Subtract 4 from both sides.
Now we have (h, k) and a of the vertex form.
- y = a(x - h)² + k → y = 3(x - 2)² + 4
In order to convert from vertex to standard form, simplify the equation by FOILing.
Distribute 3 inside the parentheses.
Combine like terms.
Therefore, we have the answer:
<u>Vertex form:</u>
<u>Standard form:</u>
