Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:
Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33
y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
Answer:
C
Step-by-step explanation:
You can write this as a proportion
inch over miles = inch over miles
1/14.5 = 4.5/x
cross multiply
x = 65.25
They are actually 65.25 miles apart.
Hope this helps
The amount of radioactive material remaining after 24 hours is 92.15 kg.
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the amount of the substance after t hours.
From the equation, a = 100 mg
Also, after 6 hours:
After 24 hours:
y = 100(0.9966)²⁴ = 92.15 kg
The amount of radioactive material remaining after 24 hours is 92.15 kg.
Find out more on Exponential function at: brainly.com/question/12940982
