Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
Now, shift x terms and integers on each side.
After simplifying, it will get:
Finally, we can solve for x.
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
9514 1404 393
Answer:
Step-by-step explanation:
To find a, b, c, compare the given function to ...
f(x) = ax² +bx +c
You will see that ...
The y-intercept is the function value for x=0. It is the constant term:
y-intercept = f(0) = -24
Use the above values of a, b to find the line of symmetry.
Per the calculation, the line of symmetry is ...
x = 6
The negative leading coefficient tells you the parabola opens DOWN.
Because it opens down, the vertex at (6, 0) is a Maximum.
As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.
The range is all values below the vertex (including the vertex), so is ...
x ≤ 0
Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice = .
And the number of bottles recycled by Mike = .
So, according to question:
⇒
<em>Dividing both sides by 7 we get:</em>
⇒.
Therefore, the number of bottles recycle by Alice is 21.