Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
Divide both sides by -4.
Putting 
in (i), we get
Therefore, the correct option is B.
Answer:
-86
Step-by-step explanation:
-102-
98 so the answer is -86
16 us customary cups are in a gallon
Answer:
The 3rd choice: 2/3 tank - 1/6 tank = 1/2 tank
Step-by-step explanation:
I assume those numbers are fractions.
The gas tank of Wendy’s car was 2/3 full. She used 1/6 of a tank of gas when driving to and from work. Which equation shows how full the gas tank is now?
We subtract 1/6 from 2/3. We need to use the common denominator 6.
2/3 - 1/6 = 4/6 - 1/6 = 3/6
Now we reduce 3/6.
2/3 - 1/6 = 1/2
Answer: 2/3 tank - 1/6 tank = 1/2 tank
Answer:
E. -8, -29
Step-by-step explanation:
a-b=21
5a -2b =18
Take the first equation and solve for a by adding b to each side
a-b=21
a-b+b=21+b
a = 21+b
Now substitute a=21+b into the second equation
5a -2b =18
5(21+b) -2b =18
Distribute the 5
105 +5b-2b =18
Combine like terms
105 +3b =18
Subtract 105 from each side
105-105 +3b = 18-105
3b = -87
Divide each side by 3
3b/3 =-87/3
b = -29
if b = -29, we can substitute it into a =21+b
a = 21-29
a = -8
