33 = p - 6.71
+6.71 +6.71
___________
39.71= p
Answer:
The question is incorrect. Please rewrite the question.
Math assignment = 3/8 hours
History assignment = 1/4 hours
We can not compare this as both fractions do not have alike denominators.
We can fix this problem easily by turning 3/8 and 1/4 into alike denominator fractions.
We can turn 1/4 into 2/8 as it is equivalent fractions.
1 x 2 = 2
4 x 2 = 8
(Whatever you do to the denominator, you have to do the same to the numerator)
Once we get this, we can see that Shen spent 2/8 hours on his homework while he spent 3/8 hours on his math assignment.
3/8 - 2/8 = 1/8
1/8 = 0.125
Shen spent 1/8 of an hour (or 0.125 of an hour) more on his math assignment than his history assignment.
Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
Answer:
-2
Step-by-step explanation:
Let's plug your functions f(x)=x^2-2x and g(x)=6x+4 into (f+g)(x)=0 and then solve your equation for x.
So (f+g)(x) means f(x)+g(x).
So (f+g)(x)=x^2+4x+4
Now we are solving (f+g)(x)=0 which means we are solve x^2+4x+4=0.
x^2+4x+4 is actually a perfect square and is equal to (x+2)^2.
So our equation is equivalent to solving (x+2)^2=0.
(x+2)^2=0 when x+2=0.
Subtracting 2 on both sides gives us x=-2.
