Answer:
b
Step-by-step explanation:
3t is also represented as 3(t)
which is multyplication
theirfor the product
Answer:
6 hamburgers.
9 pops.
Step-by-step explanation:
18 divided by 3 = 6
18 divided by 2 = 9
Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
Answer:
Step-by-step explanation:
t is the number of hours
12.24+0.11t = 12.74-0.15t
0.11t + 0.15t = 12.74 - 12.24
0.26t = 0.5
t= 0.5/0.26
t= 1.92 hours
approx to 2 hours
So for this equation we're going to complete the square.
Firstly, what two terms have a product of 120x^2 and a sum of 29x? 24x and 5x. Replace 29x with 24x + 5x: 
Next, factor 4x^2 + 24x and 5x + 30 separately. Make sure that they have the same quantity inside the parentheses: 
Now you can rewrite the equation as: 
Now using zero product property, solve for x:
In short, x = -1.25 and -6
