A. The hexagon as the series is adding a side each time. So you started with 3, 4, 5...
Answer:
2 times
Step-by-step explanation:
Well let's first graph the quadratic equation,
Look at the image below ↓
By looking at the image below we can tell that the graph touches the x axis 2 times at,
<u>(-1,0)</u>
<u>(1 1/3,0)</u>
<em />
<em>Thus,</em>
<em>the parabola touches the x axis twice.</em>
<em />
<em>Hope this helps :)</em>
Average rate of change of the function: ![-\sqrt{3}](https://tex.z-dn.net/?f=-%5Csqrt%7B3%7D)
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
![r=\frac{f(x_2)-f(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D)
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
![x_1=8\\x_2=64](https://tex.z-dn.net/?f=x_1%3D8%5C%5Cx_2%3D64)
The function is
, so
![f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}](https://tex.z-dn.net/?f=f%28x_1%29%3Df%288%29%3D-8%5Csqrt%7B3%7D%5C%5Cf%28x_2%29%3Df%2864%29%3D-64%5Csqrt%7B3%7D)
So, the average rate of change in this interval is:
![r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-64%5Csqrt%7B3%7D-%28-8%5Csqrt%7B3%7D%29%7D%7B64-8%7D%3D%5Cfrac%7B-56%5Csqrt%7B3%7D%7D%7B56%7D%3D-%5Csqrt%7B3%7D)
Learn more about rates of change:
brainly.com/question/4152194
brainly.com/question/12941985
#LearnwithBrainly
<h3>What are similar shapes?</h3>
When applying a scale factor, similar shapes are enlarged versions of one another. All of the matching angles and lengths in related shapes are equal and in the same ratio.
Rectangle is also a kind of shape. So, defining similar rectangle two rectangles must have proportional sides in order for them to be identical (form equal ratios) i.e., ratio of the two longer sides should equal the ratio of the two shorter sides.
Steps to find similar rectangle in math:
- Choose the pairs of corresponding sides on each side.
- Determine the sides' ratios.
- Verify that the ratios are identical.
To know more about similar rectangles, follow link:
brainly.com/question/17905285
#SPJ4
Answer:
Seven cups of canned apples are required to make apple pie recipe
Step-by-step explanation:
The weight of one canned apple is 0.45 pounds
Weight of total canned apple required to make the apple pie recipe is 3 pounds.
Total number of cups of canned apples required
![= \frac{3}{0.45} \\= \frac{300}{45} \\= \frac{20}{3} \\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B3%7D%7B0.45%7D%20%5C%5C%3D%20%5Cfrac%7B300%7D%7B45%7D%20%5C%5C%3D%20%5Cfrac%7B20%7D%7B3%7D%20%5C%5C)
So approximately seven cups of canned apples are required to make apple pie recipe