Answer:
Step-by-step explanation:
Total number of the students in the pep squad = 12 students
The number of the students wearing white shirts = 3 students
The number of the students wearing blue shirts = 6 students
Either white or blue shirts indicate that the students wearing white shirt or blue shirt.
Thus, number of students wearing either white or a blue shirt = 3 + 6 students = 9 students
So,
The fraction is:-
Answer:
y = 9x-8
Step-by-step explanation:
Find y values for x= -3 and x = 3. These will come out to -35 and 19 respectively.
Plug these numbers into the rise/run equation for slope m (y2-y1)/ (x2-x1). Plugging values in and simplifying you will get 54/6, which reduces to 9. This is your m value.
Apply your m value to x = 3 going backwards (x = 2 gives a y value of 10, 1 gives 1, and 0 gives -8). This will give you a y intercept of -8. This is your b value.
Plug the slope and y intercept into the mx + b equation. This will give you y = 9x-8.
There you go!
There are 6 faces in this prism. Each pair of opposite faces is two congruent faces.
The front and back faces have dimensions x by x + 4.
The right and left faces have dimensions x + 2 by x + 4.
The top and bottom faces have dimensions x by x + 2.
Let's find the area of each different face.
Front & back:
A = LW = x(x + 4) = x^2 + 4x
Right and left:
A = LW = (x + 2)(x + 4) = x^2 + 4x + 2x + 8 = x^2 + 6x + 8
Top & bottom:
A = LW = x(x + 2) = x^2 + 2x
Now we add the three areas:
x^2 + 4x + x^2 + 6x + 8 + x^2 + 2x =
=3x^2 + 12x + 8
The polynomial above is the sum of the areas of three different faces.
Each of the three different faces has a congruent opposite face with the same area, so we double this area to find the total surface area of all 6 faces.
2(3x^2 + 12x + 8) = 6x^2 + 24x + 16
The answer is option A.
2x^2 + 5x - 3 = 0
(2x + 1 )(x + 3 ) =0
The zeroes are x = -3 and x = 0.5
The graph is a parabola opening upwards and it cuts the x-axis at (-3,0) and (0.5,0).