Answer:
Step-by-step explanation:
P(x)= x³ - x² - 18
Q(x) = P(2x-1)
= (2x-1)³ - (2x-1)² -18
= (2x)³ - 3*(2x)² * 1 + 3*2x* 1² - 1³ - [ (2x)² - 2*2x*1 + 1 ] - 18
=8x³ - 12x² + 6x - 1 - [4x² - 4x +1 ] - 18
= 8x³ - 12x² + 6x - 1 - 4x² + 4x - 1 - 18
= 8x³ - 16x² + 10x - 20
Hint : (a-b)³ = a³-3a²b+3ab²-b³
(a-b)² = a² -2ab + b²
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
To solve (8/5 + 4)7, you first have to add 8/5+4. But you cannot simply add the too because they have to be in a common denominator 'form'. To do that, we find a common denominator which is 5. We then multiply 4/1 by 5.
8/5 + 4/1= 8/5 +20/5.
Now you can solve; 8+20= 28. You leave the denominator as 5.
You get 28/5 and now you have to multiply it by 7/1. Another of saying 28/5 is 5 3/5. So 5 3/5 x 7/1= 39 2/10 (final answer)
Answer:
x=9/2 or 4.5
Step-by-step explanation:
Total distance John drove=450 miles
total time=8 hours
let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours
since
distance=speed*time
distance traveled in highway=50x
distance traveled in turnpike=60(8-x)
thus the total distance will be:
50x+60(8-x)=450
simplifying the above
50x+480-60x=450
-10x=450-480
-10x=-30
thus
x=3 hours
Thus he drove on highway for 3 hours.
