45 times 0.15= 6.75
45+6.75= 51.75
The answer is 51.75
Answer:
![x=\frac{62}{7}\approx8.86](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B62%7D%7B7%7D%5Capprox8.86)
Step-by-step explanation:
Since P is between K and M, this means that:
![PM+PK=MK](https://tex.z-dn.net/?f=PM%2BPK%3DMK)
Substitute them for the equations:
![(3x+5)+(x+16)=(11x-41)](https://tex.z-dn.net/?f=%283x%2B5%29%2B%28x%2B16%29%3D%2811x-41%29)
Combine like terms:
![4x+21=11x-41](https://tex.z-dn.net/?f=4x%2B21%3D11x-41)
Subtract 4x from both sides:
![21=7x-41](https://tex.z-dn.net/?f=21%3D7x-41)
Add 41 to both sides:
![62=7x](https://tex.z-dn.net/?f=62%3D7x)
Divide both sides by 7:
![x=\frac{62}{7}\approx8.86](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B62%7D%7B7%7D%5Capprox8.86)
And we're done!
Answer:
Option D is the correct answer
Step-by-step explanation:
![\huge {k}^{ \frac{2}{9} } = ( \sqrt[9]{ {k}}) ^{2} \\](https://tex.z-dn.net/?f=%20%5Chuge%20%7Bk%7D%5E%7B%20%5Cfrac%7B2%7D%7B9%7D%20%7D%20%20%3D%20%28%20%5Csqrt%5B9%5D%7B%20%7Bk%7D%7D%29%20%5E%7B2%7D%20%20%5C%5C%20)
Answer:
No
Step-by-step explanation:
y=0 looks like | and x=0 looks like ----- . This means that they are and not parallel
Answer:
Option B is the correct option.
Step-by-step explanation:
We know that the vertex form of a quadratic's equation is generally expressed as
y = a(x - h)² + k
where (h, k) is called the vertex of the quadratic function
In our case, given the function
![f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D-%5Cfrac%7B1%7D%7B2%7D%5Cleft%28x%2B3%5Cright%29%5E2%2B%5Cfrac%7B25%7D%7B2%7D)
now comparing the equation with y = a(x - h)² + k
Here:
h = -3
k = 25/2
Therefore, the vertex of the function
is:
(h, k) = (-3, 25/2)
Thus,
The
form most quickly reveals the vertex.
Hence, option B is the correct option.