Answer: The areas of the square and parallelogram are equal (B)
Step-by-step explanation:
I hope this is ok
Answer:
(3x+2) by (2x+1)
Step-by-step explanation:
A cardboard is a rectangle, and has two dimensions. Given a quadratic equation, you should find a way to split it in two.
The easiest way to do so is through factoring. (There are many ways to do this, take a look at the plethora of sources offered on the internet.)
When the expression 6x^2 + 7x + 2 is factored, it is (3x+2)(2x+1). Hence, these are your dimensions.
Answer:
![c) 82](https://tex.z-dn.net/?f=c%29%2082)
![d) - 11](https://tex.z-dn.net/?f=%20d%29%20-%2011)
![g)27](https://tex.z-dn.net/?f=g%2927)
![h)1000](https://tex.z-dn.net/?f=h%291000)
![k)11](https://tex.z-dn.net/?f=k%2911)
![l) 8](https://tex.z-dn.net/?f=l%29%208)
Step-by-step explanation:
![{9}^{2} + 1 \\ = (9 \times 9) + 1 \\ = 81 + 1 \\ = 82](https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B2%7D%20%20%2B%201%20%20%5C%5C%20%20%3D%20%289%20%5Ctimes%209%29%20%2B%201%20%5C%5C%20%20%3D%2081%20%2B%201%20%5C%5C%20%20%3D%2082)
![{6}^{2} - {5}^{2} \\ = (6 \times 6) - (5 \times 5) \\ = 36 - 25 \\ = - 11](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%7D%20%20-%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%286%20%5Ctimes%206%29%20-%20%285%20%5Ctimes%205%29%20%5C%5C%20%20%3D%2036%20-%2025%20%5C%5C%20%20%3D%20%20-%2011)
![(1 + 2 {)}^{3} \\ = {3}^{3} \\ = 3 \times 3 \times 3\\ = 27](https://tex.z-dn.net/?f=%281%20%2B%202%20%7B%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%20%20%7B3%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%203%20%5Ctimes%203%20%20%5Ctimes%203%5C%5C%20%20%3D%2027)
![(2 + 8 {)}^{3} \\ = {10}^{3} \\ = (10 \times 10 \times 10) \\ = 1000](https://tex.z-dn.net/?f=%282%20%2B%208%20%7B%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%20%20%7B10%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%20%2810%20%5Ctimes%2010%20%5Ctimes%2010%29%20%5C%5C%20%20%3D%201000)
![\sqrt{4} + {3}^{2} \\ = 2 + {3}^{2} \\ = 2 + (3 \times 3) \\ = 2 + 9 \\ = 11](https://tex.z-dn.net/?f=%20%5Csqrt%7B4%7D%20%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%202%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%202%20%2B%20%283%20%5Ctimes%203%29%20%5C%5C%20%20%3D%202%20%2B%209%20%5C%5C%20%20%3D%2011)
![2 \times 5 - \sqrt{4} \\ = 10 - \sqrt{4} \\ = 10 - 2 \\ = 8](https://tex.z-dn.net/?f=2%20%5Ctimes%205%20-%20%20%5Csqrt%7B4%7D%20%20%5C%5C%20%20%3D%2010%20-%20%20%5Csqrt%7B4%7D%20%20%5C%5C%20%20%3D%2010%20-%202%20%5C%5C%20%20%3D%208)
<h3>Hope it is helpful....</h3>
Answer:
The population of the town is 0.983 times the population of the town in the previous year.
B is correct.
Step-by-step explanation:
We are given a function which represent population of a town after t years.
![f(t)=7248(0.983)^t](https://tex.z-dn.net/?f=f%28t%29%3D7248%280.983%29%5Et)
It is an exponential function. Exponential function wither decease or increase it depends on factor.
![y=a\cdot b^x](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex)
b is factor which decides factor of exponential function decrease or increase.
- If b >1 then function increase
- If 0<b<1 then function decrease.
If we see our problem
Here, b=0.983<1
Function would be decrease by factor of 0.983
Thus, The population of the town is 0.983 times the population of the town in the previous year.