
Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

Yes ! I can help you.
-- Take each fraction.
-- Do the division . . . (top number) divided by (bottom number) .
-- Write the whole number from the quotient.
Save the remainder.
-- After the whole number, write a fraction.
Copy the original bottom number to the bottom of the fraction.
-- Copy the remainder from the division to the top of the fraction.
Bada-bing ! There's your mixed number.
Answer:
80 cents
Step-by-step explanation:
The easiest place to start for this is to calculate how much it costs per minute of call time. To do this, if we know that it costs 52.5 cents to call for 3.5 minutes, we can divide those two numbers to get how much it costs per minute.
52.5/3.5 = 15
If it costs 15 cents per minute, and we want to know how much it would cost to call for 5.33 (5 and 1/3 of a minute), then we multiply our 15 cents a minute by the number of minutes to get the final cost.
15 x 5.33 = 79.99
Because we can't have 99/100 cents, rounding up to 80 is important to get a proper answer.
Answer:
Number 4
Step-by-step explanation:
For calculating that, you have to find the unit rate first;
2.4 pound carrot = $1.68
1 pound carrot = $1.68/2.4 = $0.7
1.8 pound broccoli = $1.53
1 pound broccoli = $1.53/1.8 = $0.85
So, it would be = $0.85 - $0.7 = $0.15
SO, YOUR ANSWER IS $0.15