Answer:
P(red) = .3
P(yellow) = .3
75 cubes in the box
Step-by-step explanation:
The probability has to add to 1
Since the number of red cubes equals the number of yellow cubes the probability has to be the same
.4 + x+x = 1
.4 +2x = 1
2x = 1-.4
2x = .6
Divide by 2
x = .6/2
x = .3
P(red) = .3
P(yellow) = .3
We know that
P(blue) = .4 = number of blue cubes/ total number of cubes
.4 = 30/total
total = 30/.4
total = 75
The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum
<h3>How to determine the vertex?</h3>
The equation is given as:
f(x) = 3x^2 + 12x − 8
Differentiate the function
f'(x) = 6x + 12
Set to 0
6x + 12 = 0
Divide through by 6
x + 2 = 0
Solve for x
x = -2
Substitute x = -2 in f(x) = 3x^2 + 12x − 8
f(2) = 3 *2^2 + 12 *2 − 8
Evaluate
f(2) = 28
This means that the vertex is (2,28)
A quadratic function is represented as:
f(x) =ax^2 + bx + c
When a is positive, then the vertex of the function is an absolute minimum.
This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive
Read more about quadratic functions at:
brainly.com/question/18797214
#SPJ1
Answer:
48 points
Step-by-step explanation:
255/85=3
16X3=48
Answer:
a) at x=0.5 y=2 and at x=1 y=2 this similarity in values shows that the solution for x is between 0.5 and 1
c) The x solution will be between x=0.0 and x=0.7 .
There is a similarity in values of y at x=0.6, y=2.4 and at x=0.7 , y=2.4
d) For x= (0.6+0.7)/2 = 1.3/2 =0.65
For y= (2.4+2.3)/2 =4.7/2=2.35
Approximate solution is (0.65, 2.35)
Answer:
2/8
Step-by-step explanation:
they can both be divides by two making 1/4 or multiply 1/4 by 2 and youll get 2/8
