Answer:
Step-by-step explanation:
![y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x](https://tex.z-dn.net/?f=y%3Dab%5Ex%5C%5Cx%3D0%2Cy%3D4%5C%5C4%3Dab%5E0%5C%5C4%3Da%281%29%5C%5Ca%3D4%5C%5Cy%3D4b%5Ex%5C%5Cx%3D2%2Cy%3D256%5C%5C256%3D4b%5E2%5C%5Cb%5E2%3D%5Cfrac%7B256%7D%7B4%7D%20%3D64%5C%5Cb%3D%5Cpm8%5C%5Cy%3D4%288%29%5Ex%5C%5Cor%5C%5Cy%3D4%28-8%29%5Ex)
Answer:
78
Step-by-step explanation:
112-18-16=78
Answer:
a. Maurice walked farther.
b. 0.62 m
Step-by-step explanation:
Maurice
4.1 × 1.8 = 7.38 miles
Junnie
2.5 × 3.2 = 8 miles
This shows that Junnie walked more than Maurice.
8 - 7.38 = 0.62
Junnie walked 0.62 m more than Maurice
Answer:
10 or -10,
Read the explanation
Step-by-step explanation:
Rewrite this problem as a numerical expression. As per the wording of this problem, there can be two expressions derived.
1. ![((\frac{1}{6}(10*3)*4)-30](https://tex.z-dn.net/?f=%28%28%5Cfrac%7B1%7D%7B6%7D%2810%2A3%29%2A4%29-30)
2. ![30-((\frac{1}{6}(10*3)*4)](https://tex.z-dn.net/?f=30-%28%28%5Cfrac%7B1%7D%7B6%7D%2810%2A3%29%2A4%29)
Simplify, remember the order of operations. The order of operations is the sequence by which one is supposed to perform operations in a numerical expression. This order is the following:
1. Parenthesis
2. Exponents
3. Multiplication or division
4. Addition or Subtraction
Use this sequence when simplifying and solving the expression:
Expression 1
![((\frac{1}{6}(10*3)*4)-30\\\\=((\frac{1}{6}(30)*4)-30\\\\=(5*4)-30\\\\=20 - 30\\\\= -10](https://tex.z-dn.net/?f=%28%28%5Cfrac%7B1%7D%7B6%7D%2810%2A3%29%2A4%29-30%5C%5C%5C%5C%3D%28%28%5Cfrac%7B1%7D%7B6%7D%2830%29%2A4%29-30%5C%5C%5C%5C%3D%285%2A4%29-30%5C%5C%5C%5C%3D20%20-%2030%5C%5C%5C%5C%3D%20-10)
Expression 2
![30-((\frac{1}{6}(10*3)*4)\\\\=30-((\frac{1}{6}(30)*4)\\\\=30-(5*4)\\\\= 30-20\\\\= 10](https://tex.z-dn.net/?f=30-%28%28%5Cfrac%7B1%7D%7B6%7D%2810%2A3%29%2A4%29%5C%5C%5C%5C%3D30-%28%28%5Cfrac%7B1%7D%7B6%7D%2830%29%2A4%29%5C%5C%5C%5C%3D30-%285%2A4%29%5C%5C%5C%5C%3D%2030-20%5C%5C%5C%5C%3D%2010)