Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

Y-8+2≤-2+2
remember you can do anything to an equaiton as long as you do it to both sides
y-8+2≤-2+2
y-6≤0
add 6 to both sides
y+6-6≤0+6
y+0≤6
y≤6
Answer: early redemption fee
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given
Grade 9: 22
Grade 10: 32
Grade 11: 41
Grade 12: 30
Required
Determine the domain and the range
The domain and range of a function is represented as thus (x,y)
From the given parameters;

Remove "Grade" to represent as only digits

Split to x and y values:
<em>Where x = domain and y = range</em>


<em>So, from the list of given options; option C answers the question.</em>
Answer:
A. 12x² + 15xy + 18x
B. - 12x² + 18xy + 24x
C. 10x² - 31x - 14
D. x² - 36
3a. x = 8
3b. x = 3
Step-by-step explanation:
A. 3x ( 4x + 5y +6 ) C. ( 2x - 7 ) ( 5x + 2 )
12x² + 15xy + 18x 10x² + 4x - 35x - 14
10x² - 31x - 14
B. 6x ( 3y - 2x + 4 )
18xy - 12x² + 24x D. ( x + 6 ) ( x - 6 )
-12x² + 18xy + 24x x² - 6x + 6x - 36
x² - 36
3a. 5/4x + 2 = 12 3b. 7/3x - 2 = 5/3x
5/4x = 12 - 2 -2 = 5/3x - 7/3x
5/4x = 10 -2 = - 2/3x
x = 10 · 4/5 -2/3x = -2
x = 8 x = 3