Let's actually find the roots, using the quadratic formula:
<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.
-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2
The discriminant here is negative, so the roots x will be complex:
-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2
These are irrational roots; they cannot be expressed as the ratios of integers.</span>
Answer:
<h3>The option B) is correct</h3><h3>Therefore the coordinate of B

is (6,-3)</h3>
Step-by-step explanation:
Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).
<h3>To Find the coordinates of point B:</h3>
- Let the coordinate of A be
is (2,7) respectively - Let the coordinate of B be

- And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
- The mid-point formula is
<h3>

</h3>
- Now substitute the coordinates int he above formula we get

- Now equating we get

Multiply by 2 we get Multiply by 2 we get


Subtracting 2 on both
the sides Subtracting 7 on both the sides


Rewritting the above equation Rewritting the equation

<h3>Therefore the coordinate of B

is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>
Answer:
50 tickets with a meal and 20 tickets without a meal
Step-by-step explanation:
Create two equations. Group the information based on labels. All the amounts that have $ in it go with one equation and the number of tickets will be in the second equation.
I will let x represent with a meal and y will represent without a meal
35x + 25y = 2250
x + y = 70
I will solve using substitution, so I will solve for y in the second equation. To do this, I will subtract x from both sides.
x - x + y = 70 - x
y = 70 - x
Now I will substitute in for y in the first equation and solve for x.
35x + 25(70 - x) = 2250
35x + 1750 - 25x = 2250
10x + 1750 = 2250
10x + 1750 - 1750 = 2250 - 1750
10x = 500
10x/10 = 500/10
x = 50
Now I will solve for y. I will use the original second equation and substitute 50 in for x.
x + y = 70
50 + y = 70
50 - 50 + y = 70 -50
y = 20
50 tickets with a meal and 20 tickets without a meal
Answer:
36
Step-by-step explanation:
171/(4+0.75) =36
you want it to be in minutes, so calculate the 45 seconds over 60 seconds, which is 0.75. Add that to the 4 minutes, and divide the total number of copies over the time used, and you have speed/minute.