Here, Add both the equations in order to eliminate y,
5x = 10
x = 10/5
x = 2
Now, substitute it in 1st equation,
8(2) - 4y = -32
-4y= -32- 16
y = -48/-4
y = 12
In short, Your Answer would be (2, 12)
Hope this helps!
Answer:
≈77
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Given:
- Homework Avg: 93
- Quiz Avg: 84
- Test Avg: 72
- Final Exam: 60
and weights Homework at 20%, Quizzes at 30%, Tests at 40%, and the final exam at 10%
=>Jason's class average is:
= 80*20% + 84*30%+74*40%+60*10%
= 80*0.2 + 84*0.3+74*0.4+60*0.1
= 76.8
≈77
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
- Given equation: ax³ + bx² + cx + d
- Group a & b, c & d: (ax³ + bx²) + (cx + d)
- Pull GCFs and factors
Let's apply these steps to the given equation.
- Given equation: 2x³ + 6x² + 10x + 30
- Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
- Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)
As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
- List GCFs: 2x², 10
- Create a term: (2x² + 10)
Finally, we'll need to simplify this one by taking another GCF, 2.
- Pull GCF: 2(x² + 5)
Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
<em>Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.</em>
<em>I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).</em>
<em>The traditional interest formula is I = (P)(R)(N).</em>
<em>P = the original amount of money given</em>
<em>R = interest rate</em>
<em>N = the amount of time</em>
<em />
<em>I hope this answers your question (and that I understood the question correctly!).</em>
<em>-Toremi</em>
