Answer:
-185
Step-by-step explanation:
Answer:
The vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5). The graph of image and preimage is shown below.
Step-by-step explanation:
From the given figure it is noticed that the vertices of triangle ABC are A(0,0), B(1,5) and C(-4,5).
If a figure rotated at 180º about the origin, then
![P(x,y)\rightarrow P'(-x,-y)](https://tex.z-dn.net/?f=P%28x%2Cy%29%5Crightarrow%20P%27%28-x%2C-y%29)
The vertices of image are
![A(0,0)\rightarrow A'(0,0)](https://tex.z-dn.net/?f=A%280%2C0%29%5Crightarrow%20A%27%280%2C0%29)
![B(1,5)\rightarrow B'(-1,-5)](https://tex.z-dn.net/?f=B%281%2C5%29%5Crightarrow%20B%27%28-1%2C-5%29)
![C(-4,5)\rightarrow C'(4,-5)](https://tex.z-dn.net/?f=C%28-4%2C5%29%5Crightarrow%20C%27%284%2C-5%29)
Therefore the vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5).
The graph of image and preimage is shown below.
Answer:
Minimum < Q1 < Median < Q3< Maximum
Step-by-step explanation:
Given
Minimum, Median, Maximum, Q3 and Q1
<em>See attachment for complete question</em>
Required
Order from least to greatest
In a dataset, the range is:
![Range = Maximum - Minimum](https://tex.z-dn.net/?f=Range%20%3D%20Maximum%20-%20Minimum)
This implies that, the minimum is the least and the maximum is the highest of the dataset
So, we have:
Minimum < < < < Maximum
The median is the middle item; So, the above becomes
Minimum < < Median < < Maximum
In a dataset, the IQR is:
![IQR = Q_3 - Q_1](https://tex.z-dn.net/?f=IQR%20%3D%20Q_3%20-%20Q_1)
This implies that:
![Q_3 > Q_1](https://tex.z-dn.net/?f=Q_3%20%3E%20Q_1)
So, we have:
Minimum < Q1 < Median < Q3< Maximum
Answer: See below
Step-by-step explanation:
![h\:\circ \:g=h\left(g\left(x\right)\right)](https://tex.z-dn.net/?f=h%5C%3A%5Ccirc%20%5C%3Ag%3Dh%5Cleft%28g%5Cleft%28x%5Cright%29%5Cright%29)
![=5\left(7x^2-4x-3\right)^2-12\left(7x^2-4x-3\right)](https://tex.z-dn.net/?f=%3D5%5Cleft%287x%5E2-4x-3%5Cright%29%5E2-12%5Cleft%287x%5E2-4x-3%5Cright%29)
![=5\left(7x^2-4x-3\right)\left(7x^2-4x-3\right)-12\left(7x^2-4x-3\right)](https://tex.z-dn.net/?f=%3D5%5Cleft%287x%5E2-4x-3%5Cright%29%5Cleft%287x%5E2-4x-3%5Cright%29-12%5Cleft%287x%5E2-4x-3%5Cright%29)
![=245x^4-280x^3-130x^2+120x+45-84x^2+48x+36](https://tex.z-dn.net/?f=%3D245x%5E4-280x%5E3-130x%5E2%2B120x%2B45-84x%5E2%2B48x%2B36)
Simplify:
![=245x^4-280x^3-214x^2+168x+81](https://tex.z-dn.net/?f=%3D245x%5E4-280x%5E3-214x%5E2%2B168x%2B81)
The answer is quite simple after looking at it. 0.1 is a tenth. 72 is a whole number, so you would have 72 1/10. 1/10 is a tenth and 72 is still the whole number.