Answer:
Step-by-step explanation:
We have to use the law of indices for finding the equivalent expression.
We square 8, which is 64 and multiply the two powers.
We multiply the 2 powers giving us, 
, which simplifies to 2.
× 
= This is the answer as we multiply the two indices together.
I hope this helps!! ^-^
First you want to turn both fractions into improper fractions. So 1 4/7 would now be 11/7 because 1 x 7 + 4 is 11. And -1 4/8 will now be -12/8 because 1 x 8 + 4 is 12. Now you must find the common denominator. 8 x 7 is equal to 56 so the common denominator is 56. So now we are adding 11/56 + (-12/56). 11 plus 12 is 23. So we have 23/56. 23 can go into 56 two times because 23 x 2 = 46. There is 10 left over so our final answer is -2 10/56. In simplest form our answer would be -2 5/28
Answer:
18= 2 x 3 x 3
Step-by-step explanation:
Basically, we branch out 18 into its prime factors. So, the prime factorization of 18 is 18= 2 × 3 × 3. A factor tree is not unique for a given number. Instead of expressing 18 as 2 × 9, we can express 18 as 3 × 6.
As you can see, each point on f(x) is moved up 4 units to get to g(x), so the function is g(x) = f(x) + 4. The f(x) function cannot possibly be f(x)=1/2, though, because that would be a horizontal line through y = 1/2 and that function is clearly not a horizontal line. So whatever f(x) is REALLY, add 4 to the tail end of it to show its translation.
Answer: 5m + 20 miles
Step-by-step explanation:
Miles driven on first day = m
On the second day, they drive five more miles than they did on the first day. This will be: = m + 5
On the third day, they drove three times as many miles as they did on the second day. This will be:
= 3(m + 5)
= 3m + 15
Total miles driven will now be:
= m + m+5 + 3m + 15
= 5m + 20
