Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
The area of a triangle is found using the formula 1/2 x base x height.
The larger triangle has a base of 20cm and a height of 18cm.
The area would be 1/2 x 20 x 18 = 180 square cm.
The white triangle has a base of 20cm and a height of 8cm.
The area would be 1/2 x 20 x 8 = 80 square cm.
The area of the shaded portion would be the larger triangle minus the smaller triangle:
180 - 80 = 100 square cm.
I think that Maria would most likely be correct because the number 9 itself is composite, meaning that it can be divided evenly with numbers other than itself and 1. But in fact, not all number in the nineties are composite. There is only one number in the nineties that is prime. That number is 97.
So with that said, once again, I think that Maria is mostly correct, but not all numbers in the nineties are composite. Almost all numbers in the nineties are.
Answer:
4/5
Step-by-step explanation:
3+5=8
so it's 8/20
and the simplest form of 8/20 is 4/5
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:
![\rm b_1(t) = 500(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_1%28t%29%20%3D%20500%281.6%29%5Et)
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:
![\rm b_2(t) = 800(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_2%28t%29%20%3D%20800%281.6%29%5Et)
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
![\rm b_1(t) = 500(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_1%28t%29%20%3D%20500%281.6%29%5Et)
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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