38,496 rounded to the nearest ten thousand is 40,000.
- Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
- (x + y)^2 = x^2 + 2xy + y^2
- Standard Form: y = ax^2 + bx + c
So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>
However, we need to convert this into standard form still, and we can do it as such:
Firstly, solve the exponent: 
Next, foil -2(x^2+2x+1): 
Next, combine like terms and <u>your final answer will be:
</u>
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
8x−6=2x−6+6x
Step 1: Simplify both sides of the equation.
8x−6=2x−6+6x
8x+−6=2x+−6+6x
8x−6=(2x+6x)+(−6)(Combine Like Terms)
8x−6=8x+−6
8x−6=8x−6
Step 2: Subtract 8x from both sides.
8x−6−8x=8x−6−8x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
First you need to find out how much Molly paid. So, $24 times 0.25 equals $6 off so $24 minus $6 equals $18. Molly paid $18 for the jeans. Then to find the percentage of increase you would find the difference between how much the store bought the jeans minus how much they sold them for which is $18-$6=$12 then u would do $12 divided by $6 which is 2 and then multiply by 100 to get 200%. So the store earned a 200% increase on the jeans they sold to Molly.
Answer:
18.2 miles
Step-by-step explanation:
simple multiplication:
We know that 1 inch of distance on the map is equal to 5.2 miles.
Using this knowledge we can multiply the amount of inches by the miles per inch.
5.2*3.5=18.2 miles apart
Hope this helps!!