I would change the 1 2/5 miles to a whole fraction which would be 7/5 miles then invert the 5/8 th to 8/5 then multiply the fractions. I.E. 7/5 x 8/5 which will give 56/25. Divide 25 into 56 and you get 2 6/25 miles or convert to a decimal and would be 2.24 miles.
the exact exact answer would be a decimal, but if you round it it will be c
hope this helps
Step-by-step explanation:
Answer:
g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4
Step-by-step explanation:
Hello!
We will use the distributive property:
g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )
The distributive property allow us to multiply the first term <em>(p^3 + 4p^2 - 2) </em>by every member of the second member, that is <em>p </em>and <em>-2.</em>
g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)
Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis<em> ( p^3 + 4p^2 - 2 ) </em>by the term on the rigth:
( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p
( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4
And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms
g(p) h(p) = p^4 + <em><u>4p^3</u></em><em> </em>-2p - <u>2p^3 </u>- 8p^2 + 4 = p^4 +<em><u>2p^3</u></em> -2p - 8p^2 + 4
= p^4 + 2p^3 - 8p^2 -2p + 4
