Answer:
N0 (f o g) x = 3x.
Step-by-step explanation:
If they are inverses of each other the f o g will equal x.
f o g = 2(3x +3/ (4x - 2) + 3 / 4(3x + 3)/(4x - 2) - 3)
= 2(3x + 3)+ 3(4x - 2) 4x - 2
--------------------------- * ----------------------------
4x - 2 4(3x + 3) - 3(4x - 2)
6x + 12x
= ----------------
12 - 6
= 3x.
So they are not inverses.
35=45-n
we do not want negative n so we add n to both sides
n+35=45
now subtract 35 from both sides
n=10
Hi Mackenzie.
Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.
1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400
Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.
I hope this helps!
To factor an expression, you need to find the GCF or Greatest Common Factor of all of the pieces of the expression.
The greatest common factor of 5x and -10 is 5. So, when we factor this, we divide both pieces of the expression by 5.
Your final answer is 5(x-2)
Let's solve your inequality step-by-step.
<span><span><span>
a − 8 </span>+ 15 </span>> <span>23
</span></span>Step 1: Simplify both sides of the inequality.
<span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>> 23
</span>
Step 2: Subtract 15 from both sides.
<span><span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>− 15 </span>> <span>23 − 15
</span></span><span><span><span><span>
−1/</span>8</span>a </span>> 8
</span>
Step 3: Multiply both sides by 8/(-1).
<span><span><span>
(<span>8/<span>−1</span></span>) </span>* <span>(<span><span><span>−1/</span>8</span>a</span>) </span></span>> <span><span>(<span>8/<span>−1</span></span>) </span>* <span>(8)
</span></span></span><span>
a < <span>−<span>64
Therefore, the answer is a < -64! I hope this helped! :)</span></span></span>