Given:
The equation is:
![x^2+3x-4](https://tex.z-dn.net/?f=x%5E2%2B3x-4)
Find-:
Binomials factor of the equation
Explanation-:
The quadratic equation,
![x^2+3x-4](https://tex.z-dn.net/?f=x%5E2%2B3x-4)
Solve for factor
![\begin{gathered} =x^2+3x-4 \\ \\ =x^2+4x-x-4 \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3Dx%5E2%2B3x-4%20%5C%5C%20%20%5C%5C%20%3Dx%5E2%2B4x-x-4%20%5C%5C%20%20%5Cend%7Bgathered%7D)
Then the factor is:
![\begin{gathered} =x^2+4x-x-4 \\ \\ =x(x+4)-1(x+4) \\ \\ =(x+4)(x-1) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3Dx%5E2%2B4x-x-4%20%5C%5C%20%20%5C%5C%20%3Dx%28x%2B4%29-1%28x%2B4%29%20%5C%5C%20%20%5C%5C%20%3D%28x%2B4%29%28x-1%29%20%5Cend%7Bgathered%7D)
So, the factor is x + 4
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Answer:
His nephew would be 11.
Step-by-step explanation:
First, you should model the word problem into an equation. This gives you the equation 18=2x-4. Then, you add 4 to both sides of the equation, getting 22=2x. Then, you divide both sides by two, which equals 11, which shows that his nephew is 11 years old. Hope this helped!
True because you do not include the number if the circle was open.
Answer:
240 minutes
Step-by-step explanation:
If it's 40 minutes for just 5 papers, we need to figure how many minutes it would take to grade just 1. So you have to divide 40 by 5 which is 8. Then 8 time 30 which is 240.