Answer:
4 is the maximum number of ride tickets she can buy
Step-by-step explanation:
Here, r represents the number of ride tickets and f represents number of food tickets.
The system of inequalities is given as:
r+f\geq 16 ....[1]
4r+2f\leq 40 .....[2]
To solve Mathematically:
Multiply equation [1] by -2 we have;
-2r-2f \leq -32 .....[3]
Add equation [2] and [3] we have;
2r \leq 8
Divide both sides by 2 we have;
r \leq 4
Since r must be less than or equal to 4.
You can also see the graph of the given system of inequalities as shown below.
The intersection point is, (4, 12)
Therefore, the maximum number of ride tickets she can buy is, 4
Answer:
Option A. 
Step-by-step explanation:
<u><em>The complete question is</em></u>
The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?
A)g(x)= 1/2(x-8)^2-8
B)g(x)= 1/2(x-12)(x-4)
C)g(x)= 1/2x^2-8x+24
we know that
The equation of a quadratic function in vertex form is equal to
where
a is the leading coefficient
(h,k) is the vertex of the function
In this problem, the option A is the equation of the function in vertex form
we have
where the vertex is the point (8,-8)
therefore
Option A
I got:
by multiplying each factor....
x^4 - 2x^3 - 2x^2 + 2x^3 - 4x^2 - 4x + 3x^3 - 6x - 6
then combining like terms....
answer is:
x^6 - 3x^2 - 10x - 6
Answer:
5/6 miles
Step-by-step explanation:
Matthews travels 2.5 miles → this is 3 times the distance that Jennifer travels
Jennifer travels 2.5 / 3 miles = 5/6 miles
because,
2.5 = 2 and 1/2 = 5/2
(5/2) ÷ 3 = (5/2) *(1/3) = 5*1/ 2*3 = 5/6
