This is about interpretation of quadratic equation graphs.
<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>
<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>
<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>
a) f(x) = (x+3)(x-4)
Let us confirm the x-intercept.
x-intercept here is when y = 0.
Thus, at y = 0; x + 3 = 0 and x - 4 = 0
Thus, at y = 0; x = -3 and y = 4
- Let's now find the y-intercept;
y-intercept occurs when x = 0
Thus; y - intercept = (0 + 3)(0 - 4)
y - intercept = -12
- Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.
- This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)
Read more at; brainly.in/question/18896888
Answer:
Put it in between the 0 and -1. Put it on the last line closer to the -1 but not on the -1.
Step-by-step explanation:
This is because 3/4 in general is less than one.
If you picture a cylinder rolled out flat. there would be two circles for top and bottom and then a rectangle for the side. The rectangle would have width equal to height and length equal to circumference.
So then the areas of the pieces are added together to get total surface area.
= 2pi(3x-2)^2 + 2pi(3x-2)(x+3)
and you can simplify this is you want by multiplying through and combining like terms.
= 2pi(12x^2 - 5x -2)
or factor more to simplify the solution.
= 2pi(3x-2)(3x-2+x+3)
= 2pi(3x-2)(4x+1)
