Answer:
The vertex is (6, -4)
Step-by-step explanation:
f(x) =(х – 8)(х – 4)
First find the zeros
0 = (х – 8)(х – 4)
0 = x-8 0 =x-4
x=8 x=4
The zeros are x=8 and x=4
The vertex is 1/2 way between the zeros
(8+4)/2 = 12/2 =6
To find the y value, substitute 6 into the function
f(6) = (6-8) (6-4)
= -2 (2) = -4
The vertex is (6, -4)
Answer:
Step-by-step explanation:
<u>Given</u>
- Line L with
- y-intercept = 3
- Points (a, a) and (2a, 12)
<u>The slope is</u>
- m = (y2 - y1)/(x2 - x1)
- = (12 - a)/(2a - a)
- = (12 - a)/a
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
1.)By dividing the given costs per pound (6÷9, or 12÷18) you will get the answer of 1.5. This means it is $1.50 per pound.
2.)If you buy 9 pounds of tomatoes at a $1.50 a pound, you have to multiply to find out how much you get. 9×1.5=13.5
They paid $13.50
3.) To find how many pounds you can buy for $19.50, you have to divide 19.5÷1.5 and you will get 13 pounds.
Answer:
2 omg dat was to hard
Step-by-step explanation: