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SVEN [57.7K]
3 years ago
14

There are 36 dinosaurs pictured in Karmita's book. If 2/3 of them were plant eaters, how many were plant eaters.

Mathematics
1 answer:
UNO [17]3 years ago
5 0
In order to solve your question, you first have to understand what 1/3 of 36 is. you can do that by dividing 36/3.

when you do this you get the answer of 12. 1/3 of 36 is 12.

to get the 2/3 part. Add 12 to the existing part that you have.

Therefore, you have 24 plant eaters.
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You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.

<h3>What is a graph?</h3>

A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).

<h3>How to plot this graph?</h3>

In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.

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2 years ago
Y=(x-3)^2-4
Ne4ueva [31]
<h2>Steps:</h2>
  • Vertex Form: y = a(x - h)² + k with (h,k) as the vertex

So firstly, let's start with the vertex. Since this is in vertex form, we can find the vertex easily. Since 3 is in the h variable and -4 is in the k variable, <u>the vertex is (3,-4).</u>

Next, the axis of symmetry. Remember that the vertex's x-coordinate and the axis of symmetry are the same. In this case, since the vertex's x-coordinate is 3, this means that <u>the axis of symmetry is x = 3.</u>

Next, whether the vertex is a minimum or a maximum. To determine whether it's a minimum or a maximum, we look towards the a variable of the vertex form. If a is negative, then the parabola opens down and the vertex is a maximum. However, if a is positive, then the parabola opens up and the vertex is a minimum. In this case, a = 1 and since 1 is positive, <u>this makes the vertex a minimum.</u>

Next, to find the y-intercept plug 0 into the x-variable and solve:

y=(0-3)^2-4\\y=(-3)^2-4\\y=9-4\\y=5

<u>The y-intercept is (0,5).</u>

Next, to find the x-intercepts plug 0 into the y-variable to solve. Since it's a bit less straightforward than finding the y-intercept, I will walk through the steps:

0=(x-3)^2-4

Firstly, add 4 to both sides:

4=(x-3)^2

Next, square root both sides:

\pm\ 2=x-3

Next, add 3 to both sides:

3\pm2=x

Lastly, solve the left side twice: once with the plus sign, once with the minus sign:

3+2=x\\5=x\\\\3-2=x\\1=x

<u>Your x-intercepts are (5,0) and (1,0).</u>

<h2>Answers:</h2>

In short:

  • Vertex: (3,-4)
  • x-intercept(s): (5,0) and (1,0)
  • y-intercept(s): (0,5)
  • Axis of symmetry: x = 3
  • Minimum or Maximum? Minimum.
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