<span>The definition of quadratic function is given by:
</span>
<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>
<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:
Thus:
Finally,
the answer is:
The graph of this function is shown in the figure below.</span>
By knowing how much Mark deposits, how much he deducts and what is his initial balance, we can know what the final balance is.
We will see that the balance at the end of the month is $2224.
We know that:
Mark deposited:
$450, $312, $125, and $432.
<u>The total deposit</u> is: $450 + $312 + $125 + $432 = $1319
The deductions are:
$205 and $123
<u>The total deductions</u> are: $205 + $123 = $328
<u>The initial balance</u> is $1233.
The final balance will be equal to the initial balance plus what Mark deposits minus what Mark deducts, this is:
Final balance = $1233 + $1319 - $328 = $2224
We can conclude that the balance at the end of the month is $2224
If you want to learn more, you can read:
brainly.com/question/19245500
In number form, your question is:
14 5/9 + 6 7/9 = ?
We can now understand this easier, and answer it.
Add your whole numbers first to not get confused.
14 + 6 = 20.
Now add your fractions.
5/9 + 7/9 = 12/9, = 1 3/9.
Add 1 to your whole number.
20 + 1 = 21.
You are left with 21 3/9.
Your answer is 21 3/9.
I hope this helps!
I think it’s frictional force sorry if it’s wron g
Hey there! :)
7. -4(2z + 6) - 12 = 4
Simplify.
-8z - 24 - 12 = 4
Simplify.
-8z - 36 = 4
Add 36 to both sides.
-8z - 36 + 36 = 4 + 36
Simplify.
-8z = 40
Divide both sides by -8.
z = -5
8. 3/2(x - 2) - 5 = 19
Simplify.
3/2x - 3 - 5 = 19
Simplify.
3/2x - 8 = 19
Add 8 to both side.
3/2x = 19 + 8
Simplify.
3/2x = 27
Multiply both sides by 2.
3/2x · 2 = 27 · 2
Simplify.
3x = 54
Divide both sides by 3.
x = 18
~hope I helped~
