Given:
P = 3x + 2y
There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.
Point O is found in x = 0 ; y = 0 or (0,0)
Point A is found in x = 8 ; y = 0 or (8,0)
Point B is found in x = 6 ; y = 5 or (6,5)
Point C is found in x = 0 ; y = 8 or (0,8)
We will substitute x and y in the equation by its values per point.
Point A = 3(8) + 2(0) = 24 + 0 = 24
Point B = 3(6) + 2(5) = 18 + 10 = 28
Point C = 3(0) + 2(8) = 0 + 16 = 16
The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.
Answer:
3 friends played golf
Step-by-step explanation:
33-12=21
21/7=3
Answer:
The solution set of the quadratic function 
is 
.
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
Given that 
, 
and 
, the roots of the polynomial are, respectively:
The solution set of the quadratic function is .
<span>The vertices of are D(7, 3), E(4, -3), and F(10, -3)
Prove tat DE = DF
Length of a segment = </span>√[(x₂ - x₁) +(y₂ -y₁)]
DE = √([4-7)² + (-3 -3)²] = √45 = 3√5
DF = √[(10-7)² +(-3 -3)²] = √45 b= 3√5
Hence DE = DF = 3√5 and DEF is ISOSCELES
Answer:
125 dogs and cats
Step-by-step explanation:
35 puppies make up 28% of the total dog and cat population
so 28% of the total population is 35
let x = the total population
0.28x = 35
x = 35 / 0.28
x = 125 <=== total dogs and cats
