Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of
2 answers:
<u>ANSWER:</u>
Kari bought 3 boxes of cookies to share. The algebraic expression is
<u>Solution:</u>
Given, Kari bought 3 boxes of cookies to share with a book club.
Each box contains 12 cookies.
So, in total we have 3 x 12 cookies = 36 cookies.
Now, we have to find how many cookies can each person p will get.
Let, the total number of persons be x.
Then, after equally sharing the cookies,
Hence, the algebraic expression is
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Answer:
The vertex of the function is the point
The graph increase over the interval--------> (-3,∞)
Step-by-step explanation:
we have
<u>1) Convert to vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
-----> function in vertex form
<u>2) Find the vertex</u>
The vertex of the function is the point
<u>3) Find the axis of symmetry</u>
we know that
In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex
The x-coordinate of the vertex in this problem is equal to
therefore
the equation of the axis of symmetry is
<u>4) Find the increase-decrease intervals</u>
The graph increase over the interval--------> (-3,∞)
The graph decrease over the interval--------> (-∞,-3)
see the attached figure to better understand the problem
<u>5) Find the x-intercepts of the function</u>
we know that
the x-intercepts are the values of x when the value of the function is equal to zero
In this problem the x-intercepts are
and
so
The function cross the x-axis twice
see the attached figure
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
Our answer is the top right :)