There are 16 (3/8s) in 6.
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
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
