Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far:

. Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides.

. The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process.

. Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.
Answer:
7/165
Step-by-step explanation:
This is a mixed recurring decimal (the zero is not repeating)
We take number after the decimal point 042
then we subtract the non repeating.In this case is 0 so we not subtract anything
This will be the numerator 42
Now ,the denominator:
For each repeating decimal we write a 9 (in this case 2 nines)
For each non repeating decimal we write a zero
Denominator is 990
42/990 = 7/165
7:165 = 0.0424242......
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Answer:
17
but it can be 18 too
cuz the q doesn't tell us that the value of x has to be a prime no.
Step-by-step explanation:
2+3+5+7+11+13+17=58
A) 1.00
Just look at where the slope crosses 2 miles and then look left on the y-axis where the price is given