Answer:
7m(3m^6 - m^4 + 7)
Step-by-step explanation:
This is a factorization question
All we want to do here is to factor out 7m from each term of the polynomial
This becomes;
21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)
Number 1 = 17
number 2 = 72
number 3 = 24
work:
the three numbers are symbolized as x, y, and z
x + y + z = 113
number 2 (y) is 3 times the third number (z) so
y = 3z
so x + 3z + z = 113
the first number (x) is 7 less than than the third number (z) so
x = z - 7
so z -7 + 3z + z = 113
5z - 7 = 113
5z = 120
z = 24
x = 17
y = 72
Hope this helped :)
Answer:
x = 1±2i
Step-by-step explanation:
(x - 1)^2 = -4.
Take the square root of each side
sqrt( (x - 1)^2) = sqrt(-4)
Sqrt(ab) = sqrt(a)sqrt(b)
We know the sqrt(4) = 2 and the sqrt(-1) = ±i
x-1 = ±2i
Add 1 to each side
x-1+1 = 1±2i
x = 1±2i
It should be the point of tangency.
Answer:
C
Step-by-step explanation:
First, find out how many games they won:
x/15 = 80/100
Cross multiply
x × 100 = 15 × 80
100x = 1200
x = 12
They won 12 out of 15 games
Second, find out how many wins out of 30 games are needed to have a 90% winning percentage
x/30 = 90/100
Cross multiply
x × 100 = 30 × 90
100x = 2700
x = 27
27 game wins are needed to have a 90% winning percentage
Lastly, find the difference between 27 wins (total needed) and 12 wins (total number of wins they currently have)
27 - 12 = 15
They need to win 15 more games to have a 90% winning percentage
