The answer is b because of the things it’s going on
First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
Answer:b
Step-by-step explanation:bcz ur gay
The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
Learn more about exponential decay here:
brainly.com/question/14355665
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Answer:
174 m²
Step-by-step explanation:
Triangle: m²
Square: 12 * 12 = 144 m²
144+30=174m²