Answer:
Step-by-step explanation:
The word problem describes two relationships between the numbers of cookies baked. When b and f represent the numbers of cookies baked by Bill and Felicia, respectively, those relationships are ...
- Bill bakes 3 times as many cookies as Felicia. (b = 3f)
- Felicia bakes 24 fewer cookies than Bill. (f = b-24)
Answer:
B: 2⁷-1 = 127
Step-by-step explanation:
A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.
Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.
2⁷-1 = 127 is a Mersenne prime
Problem
For a quadratic equation function that models the height above ground of a projectile, how do you determine the maximum height, y, and time, x , when the projectile reaches the ground
Solution
We know that the x coordinate of a quadratic function is given by:
Vx= -b/2a
And the y coordinate correspond to the maximum value of y.
Then the best options are C and D but the best option is:
D) The maximum height is a y coordinate of the vertex of the quadratic function, which occurs when x = -b/2a
The projectile reaches the ground when the height is zero. The time when this occurs is the x-intercept of the zero of the function that is farthest to the right.
Answer:
See below
Step-by-step explanation:
If you are squaring a number, and then taking the square root of it, you are essentially undoing the original operation:
![\displaystyle \sqrt{\biggr(\frac{4}{7}\biggr)^2}=\biggr[\biggr(\frac{4}{7}\biggr)^2\biggr]^{\frac{1}{2}}=\biggr(\frac{4}{7}\biggr)^{2*\frac{1}{2}}=\frac{4}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E2%7D%3D%5Cbiggr%5B%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E2%5Cbiggr%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E%7B2%2A%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B4%7D%7B7%7D)
Hence, we are back starting with the original number
Answer:
-6
Step-by-step explanation:
in the equation y = mx + b, the b part is the y-intercept
