Answer:
i think this is right
Step-by-step explanation:
4
Answer:
62
Step-by-step explanation:
Answer:
(B , D) = (-2,5)
Step-by-step explanation:
The given quadratic expression is
![3x^{2} -x-10](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-x-10)
compare the given expression with ![ax^{2} +bx+c](https://tex.z-dn.net/?f=ax%5E%7B2%7D%20%2Bbx%2Bc)
so we have ![a = 3 , b = -1 ,c = -10](https://tex.z-dn.net/?f=a%20%3D%203%20%2C%20b%20%3D%20-1%20%2Cc%20%3D%20-10)
now
and ![b= -1](https://tex.z-dn.net/?f=b%3D%20-1)
we need to find two numbers such that their product is -30 and sum is -1
-6 and 5 are such numbers
so we have
![3x^{2} -6x+5x-10](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-6x%2B5x-10)
grouping first two terms and last two terms
![(3x^{2} -6x)+(5x-10)](https://tex.z-dn.net/?f=%283x%5E%7B2%7D%20-6x%29%2B%285x-10%29)
factor out 3x from first two terms and 5 from last two terms
( factor out (x-2))
![(x+(-2))(3x+5)](https://tex.z-dn.net/?f=%28x%2B%28-2%29%29%283x%2B5%29)
hence B =-2 and D= 5
(B,D)= (-2,5)
To solve this, you must follow PEMDAS. First, solve the parenthesis. Because a negative times a positive equals a negative, the product of the fractions is -1/6. Then multiply that by 12. That equals -12/6. This can be simplified down to -2.
If you need more help, comment below and I will do my best.
5(x - 3) +6 = 5x - 9 has infinitely many solutions
<h3><u>Solution:</u></h3>
Given equation is 5(x - 3) +6 = 5x - 9
We have to find whether the given equation has one, zero, or infinitely many solutions
Let us solve the given equation
5(x - 3) + 6 = 5x - 9
Let us use BODMAS rule to solve the given equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
So let us first solve for brackets in given equation
5x - 15 + 6 = 5x - 9
5x - 9 = 5x - 9
0 = 0
Since the statement is true, there are infinitely many solutions