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 />
Answer:
a) 
b) 
Step-by-step explanation:
Use logarithm properties:
Then
a) 
b) 
<h3>
Answer: Choice C</h3>
The largest exponent here is 4, so that makes it a quartic.
There are 3 terms, so we have a trinomial. Each term is separated by either a plus or a minus.
Choice A shows a quartic polynomial. Choice B is a cubic polynomial. Choice d is a quadratic trinomial.
Answer:
Length = 18 Width = 11
Step-by-step explanation:
Perimeter = 2(length) + 2(width)
So let's label the unknown length as x. Width would then be (x-7). Then plug it into the perimeter equation.
2(x) + 2(x-7) = 58
Then use PEMDAS which will give us
2x+2x-14 = 58
Combine like terms
4x -14 = 58
Add 14 to both sides
4x = 72
To get x by itself you have to divide both sides by 4.
x = 18
So length is 18 and width is (18-7) which is 11.
