Answer:
Sonia practices for 96 mins (1 hour 36mins ) 0.8 = 80%
Step-by-step explanation:
Answer:
x= -4
Explanation
Move constant to the right-hand side and change its sign
8x=5-37
Calculate the difference
8x=-32
Divide both sides of the equation by 8
x= -4
Set the ones digit to x. 2x+1=7, so 2x=6, so x=3.
x+1 is the tens digit, so the tens digit is 4 and the number is 43.
Answer: ![0.4862\ \text{Pounds}](https://tex.z-dn.net/?f=0.4862%5C%20%5Ctext%7BPounds%7D)
Step-by-step explanation:
Given
Weight of a newborn baby is ![2.2\times 10^{-1}\ \text{pounds}](https://tex.z-dn.net/?f=2.2%5Ctimes%2010%5E%7B-1%7D%5C%20%5Ctext%7Bpounds%7D)
If an adult panda weighs up to 1.2103 times more than a newborn panda
Then weight of an adult is given by
![\Rightarrow 2.2\times 10^{-1}+2.2\times 10^{-1}\times 1.2103\\\Rightarrow 2.2\times 10^{-1}+2.6626\times 10^{-1}\\\Rightarrow 0.4862\ \text{Pounds}](https://tex.z-dn.net/?f=%5CRightarrow%202.2%5Ctimes%2010%5E%7B-1%7D%2B2.2%5Ctimes%2010%5E%7B-1%7D%5Ctimes%201.2103%5C%5C%5CRightarrow%202.2%5Ctimes%2010%5E%7B-1%7D%2B2.6626%5Ctimes%2010%5E%7B-1%7D%5C%5C%5CRightarrow%200.4862%5C%20%5Ctext%7BPounds%7D)
the 1 is the h and the -2 is the k
f(x) = a(x - h)^2 + k
f(x) = a(x-1)^2 -2
to find a substitute x=3, y=6 in
6= a(3-1)^2 -2
6 =a *2^2 -2
add 2 to each side
8 = 4a
a =2
f(x) = 2(x-1)^2 -2 this is the vertex form
distribute to get the standard from
f(x) = 2(x^2-2x+1) -2
2x^2 -4x+2-2
f(x) =2x^2-4x is the standard form
Choice A