<span>b^4 − b^3 + b − 1
=(</span><span>b^4 − b^3) + (b − 1)
= b^3(b - 1) + (b - 1)
=(b - 1)(b^3 + 1)</span>
Answer:
Point D
Step-by-step explanation:
:)
Answer:
A. Bar graph
Step-by-step explanation:
Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Ben wanted to take some money from his Friends to build his family a home. He said that he would give the money back after 12 months. So he would give 1500$ a month. How much money did he borrow?
1500*12=x
Matilda got also money, she told Ben, I got x $ from my dad and y $ from mom. all they gave me was 5000$. If I gave mom Half of the moneys I got from her than I would have 3000$ left to pay. How much did she borrow from her parents?
x+y=5000
and
x+y/2=3000
so x=5000-y
and
5000-y+y/2=3000
so
x=5000-y
and
y=4000
so x=1000 and y=4000
