Answer:
vertex form is y=a(x−h)2+k. To solve this you have to complete the square with the x terms: y= 3x2−12x+4. first isolate the x terms: y−4=3x2−12x. ax2+bx+c to complete the square a=1 and c=(12b)2.
Step-by-step explanation:
vertex form is y=a(x−h)2+k. To solve this you have to complete the square with the x terms: y= 3x2−12x+4. first isolate the x terms: y−4=3x2−12x. ax2+bx+c to complete the square a=1 and c=(12b)2.
Answer:
Your answer is x = 1
Step-by-step explanation:
First start by distributing 5 to everything in the parenthesis.
5 * 2x = 10x
5 * -8 = -40
What you're left with is 10x - 40 + 15 = -15
Next subtract 15 from both sides.
10x - 40 + 15 - 15
The 15's will cancel each other out on the left side.
-15 - 15 = -30
What you're left with is 10x - 40 = -30
Next add 40 to both sides.
10x - 40 + 40
The 40's will cancel each other out on the left side
-30 + 40 = 10
What you're left with is 10x = 10
Divide both sides by 10 to get x by itself.
10x / 10 = x
10 / 10 = 1
What you're left with is x = 1
Y=17(1.2) you quantity is 20 so you move 2 decimals places over
Answer:
$6,824.03 is the amount the family will spend on vacations in 5 years
Step-by-step explanation:
The formula A = P(1 + r)^n is appropriate in this problem, with the understanding that A represents the amount the family will spend on vacations in n years and P is the current spending amount. Then:
A = ($7,845)(1 - 0.0275)^5, where we use -0.0275 to indicate that the amount DECREASES by 2.75% annually. Simplifying this formula, we get:
A = ($7,845)(0.9725)^5, whose value to the nearest cent comes out to:
A = $6,824.03 is the amount the family will spend on vacations in 5 years.
