Answer:
Subtracting 7
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. </em>
<u><em>To Find:</em></u>
<em>What kind of sequence is this?</em>
<u><em>Solve:</em></u>
<em>Let's make a table:</em>
<em />
<em>[1 stack] 45 </em>
<em>[2 stack] 38</em>
<em>[3 stack] 31</em>
<em>[4 stack] 24</em>
<em />
<em>Now all we have to do is subtract to see what each is:</em>
<em>45 - 38 = 7</em>
<em>38 - 31 = 7</em>
<em>31 - 24 = 7</em>
<em>Thus,</em>
<em>[1 stack] 45 ⇒ 7</em>
<em>[2 stack] 38 ⇒ 7 </em>
<em>[3 stack] 31 ⇒ 7 </em>
<em>[4 stack] 24 ⇒ 7 </em>
<em>Hence, each stack is going down by 7.</em>
<em />
<u><em>Kavinsky</em></u>
<em />
3x(x+3)^2
3x(x^2 + 6x + 9)
= 3x^3 + 18x^2 + 27x
answer
3x^3 + 18x^2 + 27x
You have to use factoring by grouping.. multiply by 8 and 15 and what factors add to -14.
The factors are 6 and -20
(2x-5)(4x+3)
Answer: it will take 4 months for the amount to be the same and the amount would be $95
Step-by-step explanation:
Let x represent the number if months it will take for the two accounts have the same amount of money.
Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be
10x + 55
Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be
15x + 35
For the amount in the accounts to be the same, the number of months would be
15x + 35 = 10x + 55
15x - 10x = 55 - 35
5x = 20
x = 20/5
x = 4
The amount would be
15 × 4 + 35
= 60 + 35
= $95
