Answer:
a = 14
Step-by-step explanation:
3a = a + 28 ➡ 2a = 28 ➡ a = 14
First we find the vertex of parabola

The vertex of parabola is

Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,

And,

Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.

So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval
. So, the domain is (-8,3].
The values of the function lie in the interval
. So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].
Answer:
x = -1.8
Step-by-step explanation:
-9x = 16.2
Divide each side by -9
-9x/-9 = 16.2/-9
x = -1.8
Answer: 3:8
Explanation: To get this you have to divide each number by the two numbers' GCF (Greatest Common Factor) and in this case the GCF is 10, so you divide both numbers by 10 and get 3 and 8.