Answer: (c)
Step-by-step explanation:
Given
The function is ![y=-x^2+6x-4](https://tex.z-dn.net/?f=y%3D-x%5E2%2B6x-4)
Range of a function describes the values y can take
from the graph it is clear that the maximum value of y is 5
![\therefore y\leq5](https://tex.z-dn.net/?f=%5Ctherefore%20y%5Cleq5)
Hence. option (c) is correct.
Answer:
A
Step-by-step explanation:
Here is the equation:
![18+4 \times 3](https://tex.z-dn.net/?f=18%2B4%20%5Ctimes%203)
You have to use PEMDAS
![\bf Parentheses \\ Exponents \\ Multiplication\\ Division \\ Addition \\ Subtraction](https://tex.z-dn.net/?f=%5Cbf%20Parentheses%20%5C%5C%20Exponents%20%5C%5C%20Multiplication%5C%5C%20Division%20%5C%5C%20Addition%20%5C%5C%20Subtraction)
Since multiplication is before addition, first multiply. You need to multiply 4 by 3.
![4 \times 3 = 12](https://tex.z-dn.net/?f=4%20%5Ctimes%203%20%3D%2012)
Here is your new equation:
![18+12](https://tex.z-dn.net/?f=18%2B12)
All you need to do is add the two numbers. Add:
![18+12=30](https://tex.z-dn.net/?f=18%2B12%3D30)
That means your answer is 30
<em>If you have any questions, feel free to ask in the comments! :)</em>
Answer:
Since the square root of 25 = 5 and the square root of 36 is 6 it is known that the square root of 33 is between 5 and 6.
Step-by-step explanation:
The key to this is to think about perfect squares, specifically the ones closest to 33. These are 25 and 36, which have square roots of 5 and 6 respectively. Because 33 is between these numbers, you know for certain that its square root is between <em>their</em> square roots too.
Let me know if you need a more in-depth explanation!
The formula is
A=pe^(r×t/12)
A future value 543
P present value 500
R interest rate 0.065
E constant
T time t ( in months)
Solve the formula for t
T/12=[log (A/p)÷log (e)]÷r
T/12=(log(543÷500)÷log(e))÷0.065
T/12=1.3
T=1.3×12
T=15 months