Answer & Step-by-step explanation:
So I can't exactly graph exactly, but I'll try...
To solve:
x+11<6 Subtract 11 on both sides.
x<-5
To graph:
<-------|---------o---------|-------->
-6 -5 -4
(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)
Hope this helps! Have an awesome day ( • ω • )^
To solve each question, all you've got to do is add the two numbers together and then graph the result on the number line.
1.) -3 +(-1.5)
Add 3 to -1.5. It would be the same as subtracting 1.5 from -3(-3 - 1.5)
Final Answer: -4.5<span>
Or, since you are using a number line, start on -3 and go left 1.5 units and you will land on the -4.5 point. You go to the left because you are adding a negative number..
</span>
2.) 1.5+3.5
Add<span>
Final Answer: 5
</span>Or, since you are using a number line, start on 1.5 and go to the right 3.5 and you will land on 5. You go to the right because you are adding a positive number.<span>
</span>3.) 1/4 + 1/2
Multiply 1/2 by 2 to make both fractions have the same denominator
1/4 + 2/4
Add<span>
Final Answer: 3/4
</span>Or, since you are using a number line, start on 1/4 and go up 2/4 and you will land on 3/4 as the result.<span>
</span>4.) -1 1/2 + (-1 1/2)
Add -1 1/2 to -1 1/2. This would be the same as subtracting 1 1/2 from -1 1/2(-1 1/2 - 1 1/2)<span>
Final Answer: -3
</span><span>Or, since you are using a number line, start on -1 1/2 and go to the left 1 1/2 and you will land on the -3 point.</span>
Answer:
The diameter is related because it helps find the circumference.
Answer:
Jane has 11 books
Step-by-step explanation:
If Camilla has 15 and she has 4 more than Jane just subtract 15 - 4 = 11
Answer:Answer:
Step-by-step explanation:
Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;
The sum of an arithmetic series is expressed as ![S_n = \frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
n is the number of terms
a is the first term of the sequence
d is the common difference
Given parameters
n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2
Required
Sum of the first seven terms of the sequence
![S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70](https://tex.z-dn.net/?f=S_7%20%3D%20%5Cfrac%7B7%7D%7B2%7D%5B2%28-4%29%2B%287-1%29%28-2%29%5D%5C%5C%5C%5CS_7%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%5B-8%2B%286%29%28-2%29%5D%5C%5C%5C%5CS_7%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%5B-8-12%5D%5C%5C%5C%5C%5C%5CS_7%20%3D%20%5Cfrac%7B7%7D%7B2%7D%20%2A%20-20%5C%5C%5C%5CS_7%20%3D%20-70)
The sum of the nth term of the sequence will be;
![S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2%28-4%29%2B%28n-1%29%28-2%29%5D%5C%5C%5C%5CS_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B-8%2B%28-2n%2B2%29%5D%5C%5C%5C%5CS_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B-6-2n%5D%5C%5C%5C%5CS_n%20%3D%20%20%5Cfrac%7B-6n%7D%7B2%7D%20-%20%20%5Cfrac%7B2n%5E2%7D%7B2%7D%5C%5CS_n%20%3D%20-3n-n%5E2%5C%5C%5C%5CS_n%20%3D%20-n%283%2Bn%29)
The sigma notation will be expressed as . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>
