<h2>Steps:</h2>
So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:
y = x² + bx + c
Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:
Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:
Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.
Now that we know the value of b, plug it into either equation to solve for c:
<h2>Answer:</h2>
<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>
The solution to that equation is (6,-4)
Answer:
The correct answer is 7.
Step-by-step explanation:
Let there be x number of candies in each bag filled by Ken and Mali.
Both Ken and Mali started with equal number of candies and put same number of candies in each bag.
Ken filled nine bags and had three candies left. Therefore total number of candies Ken had = 9x + 3.
Mali filled eight bags and had ten candies left. Therefore total number of candies Mali had = 8x + 10.
As both had equal number of candies in the beginning,
9x + 3 = 8x + 10
⇒ x = 10 - 3 = 7
Thus each bag contained 7 candies.
Hey there!!
How do we solve this problem :
We will use the combinations formula to solve this :
c ( n , r ) where n = 11 and r = 2
c ( n , r ) = n ! / r ! ( n - r ) !
... 11 ! / 2 ! ( 11 - 2 ) !
... 11! / 2! × 9!
... 11! / 2 × 9!
... 11×10×9×8×7×6×5×4×3×2 / 2×9×8×7×6×5×4×3×2
... 11×10 / 2
... 11 × 5
... 55 combinations.
Hence, the required answer = 55 , option ( d )
Hope my answer helps!
Answer:
2) 70,000
Step-by-step explanation:
since they have said estimate meaning frist round off
679 rounds up to 700 and 98 rounds up to 100
700×100
70000
