Answer:
<em>Vertex; ( - 1 / 2, 5 3/4 )</em>
Step-by-step explanation:
No need for a calculator, take a look at the procedure below;
The vertex of an up - down facing parabola of the form y = ax^2 + bx + c is x = -b / 2a;
The parabola params are given to be 1, 1, and 6, such that;
x = - 1 / 2 * 1,
x = - 1 / 2,
Now plug in this value of x into the quadratic function as to solve for y;
y = ( - 1 /2 )^2 - 1 /2 + 6,
y = 1 / 4 + 5 1 / 2,
y = 5 3/4
Thus the vertex has a minimum of ( - 1 / 2, 5 3/4 ),
<em>Vertex; ( - 1 / 2, 5 3/4 )</em>
Nayeli - 4x19= 76 total candies
jayden- 5x15= 75 total candies
so nayeli has 1 more piece of candy than jayden does.
The answer to this question would be: 5 1/2 pints
A quart is a unit that used for volume. A quart would be equal to 2 pints or 1/4 of gallons. A quart is also roughly equal to 4 cups. In this question, you asked to convert quarts into pints. Then the calculation would be:
Quart = 2 pints
2 3/4 quart = 2 * (2 3/4 pints)= 4 6/4 pints = 5 2/4 pints= 5 1/2 pints
Option B: 1088 is the next term in the geometric sequence.
Explanation:
The sequence is 
We need to determine the next term.
To determine the next term, let us find the common ratio between the terms.
Thus, the common ratio is 
And the given sequence is a geometric sequence.
To determine the next term in a geometric sequence, we always multiply the common ratio to the current term.
Hence, the current term is 272 and the common ratio is 4.
Next term = Current term × Common ratio
Thus, the next term of the geometric sequence is 1088
Therefore, Option B is the correct answer.
