First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
Answer:
D
Step-by-step explanation:
To find the intercepts, that is where the line crosses the x and y axes
• Let x = 0, in the equation for y-intercept
• Let y = 0, in the equation for x- intercept
x = 0 : - 3y = - 9 ⇒ y = 3 ⇒ (0, 3) ← y- intercept
y = 0 : x = - 9 ⇒ (- 9, 0 )← x- intercept
Answer:
1⅓ inches
Step-by-step explanation:
Area = side² = x²
9(x²) = 16
x² = 16/9
x = 4/3 inches or 1⅓ inches
Answer:
Sonji is 0.5 miles far from the finish line
Step-by-step explanation:
Data provided in the question:
Distance between the Sonji and the finish line = 0.4 miles
Distance run by Sonji back = one tenth of a mile
i.e =
miles = 0.1 miles
Hence,
The total distance of Sonji from the finish line will be
= Distance between the Sonji and the finish line + Distance run by Sonji back
= 0.4 miles + 0.1 miles
= 0.5 miles
Hence,
Sonji is 0.5 miles far from the finish line
The blank would be 50% because there are only 2 options it can land on and they are both even