Step-by-step explanation:
f(x) × g(x)
= (x2 + 5x )× (3x2 -4x )
=3x4 + 15x3 - 4x3 -20x2
3x^4 + 11 x3 - 20x2
139 = x + (2x + 10)
139 = 3x + 10
129 = 3x
/3 /3
43 = x
Therefore
Answer:
Glados makes $44.76 per hour.
Step-by-step explanation:
Given:
Total hours Glados worked this week = 38.4
Amount earned by Glados this week = $1,718.64
To find her hourly earnings for the week.
Solution:
We will use unitary method to find the unit rate.
If for 38.4 hours Galdos earned = $1,718.64
Then for 1 hour she will earn = 
Thus, Galdos' hourly earnings for the week = $44.76
Step-by-step explanation:
3*4*2=24
Even if he doesn't use them all, he has 24 choices.
These kind of problems are permutation type problem. Order is not critical. Imagine yourself preparing such a meal. You have choices to be made in Sandwiches, fruits and drinks. It does not matter which order you set up the lunch box. It only matters that you chose.
You can't leave one out, nor does the problem allow you to trade (say) 2 drinks for one fruit.
Answer:
x = - 3 ± 
Step-by-step explanation:
x² + 6x + 7 = 0 ( subtract 7 from both sides )
x² + 6x = - 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 7 + 9
(x + 3)² = 2 ( take square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 