Answer:
Step-by-step explanation:
Let’s find the common difference.
The common difference can be found by subtracting a term in the sequence with the previous term.
Apply formula for the 
term of an arithmetic sequence.
is the first term of the sequence.
is the common difference.
Answer:
B
Step-by-step explanation:
The distance formula is 
Where 
is the first coordinate (our case, point A(2,2)) & 
is the second coordinate (our case, point D(-4,-3))
<em>Plugging these in into the formula gives us:</em>
Answer choice B is closest.
Answer:
(20-C)15+10C=225
Step-by-step explanation:
20 TICKETS
Adults = (20 - the number of children) x $12
(20-C)15+10C=225
300 - 15C + 10C = $225
300 - 5C = 225
-5C = -75
C= 15
A = 5
Children 15 x $10 = $150
Adults 5 x $15 = $75
$150 + $75 = $225
Answer:
Hello,
Step-by-step explanation:
a)
![\Large h(x)=\sqrt[3]{x+2} \ -3\\\\h(x)=-3\\\Longrightarrow\ \sqrt[3]{x+2} \ -3=-3 \\\\\Longrightarrow\ \sqrt[3]{x+2} =0\\\\\Longrightarrow\ (\sqrt[3]{x+2}) ^3=0^3\\\\\Longrightarrow\ x+2=0\\\\\Longrightarrow\ x=-2\\](https://tex.z-dn.net/?f=%5CLarge%20h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D%20%5C%20%20-3%5C%5C%5C%5Ch%28x%29%3D-3%5C%5C%5CLongrightarrow%5C%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20%5C%20%20-3%3D-3%20%5C%5C%5C%5C%5CLongrightarrow%5C%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20%3D0%5C%5C%5C%5C%5CLongrightarrow%5C%20%28%5Csqrt%5B3%5D%7Bx%2B2%7D%29%20%5E3%3D0%5E3%5C%5C%5C%5C%5CLongrightarrow%5C%20x%2B2%3D0%5C%5C%5C%5C%5CLongrightarrow%5C%20x%3D-2%5C%5C)
b)
![-3=k(x)=h(x-1)+2=\sqrt[3]{(x-1)+2} -3=\large \sqrt[3]{x+1} -3\\\\\\\Longrightarrow\ \sqrt[3]{x+1}=0\\\\x+1=0\\\\x=-1\\\\](https://tex.z-dn.net/?f=-3%3Dk%28x%29%3Dh%28x-1%29%2B2%3D%5Csqrt%5B3%5D%7B%28x-1%29%2B2%7D%20%20-3%3D%5Clarge%20%5Csqrt%5B3%5D%7Bx%2B1%7D%20%20-3%5C%5C%5C%5C%5C%5C%5CLongrightarrow%5C%20%5Csqrt%5B3%5D%7Bx%2B1%7D%3D0%5C%5C%5C%5Cx%2B1%3D0%5C%5C%5C%5Cx%3D-1%5C%5C%5C%5C)
