Answer:
The equation of the line would be D) y - 7 = -3(x -5)
Step-by-step explanation:
In order to find this, we must first start with the base form of point-slope form.
y - y1 = m(x - x1)
Now we put the slope in for m and the point in for (x1, y1)
y - 7 = -3(x - 5)
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
(a) The amount of ice cream increase as temperature increases
(b)
--- equation
--- y intercept
--- slope
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The relationship between the variables
From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.
In other words;
The amount of ice cream increase as temperature increases
Solving (b): The line of best fit
First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).
From (2), we select any 2 points on the line:
![(x_1,y_1) = (15,35)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%2815%2C35%29)
![(x_2,y_2) = (0,5)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%280%2C5%29)
The slope (m) is:
![m = \frac{y_2 -y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{5-35}{0-15}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B5-35%7D%7B0-15%7D)
![m = \frac{-30}{-15}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-30%7D%7B-15%7D)
![m = 2](https://tex.z-dn.net/?f=m%20%3D%202)
So, the line of best fit is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
Substitute known values:
![y = 2(x - 0) + 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%20-%200%29%20%2B%205)
![y = 2(x) + 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%29%20%2B%205)
![y = 2x + 5](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%205)
The y-intercept is when ![x=0](https://tex.z-dn.net/?f=x%3D0)
So, we have:
![y = 2*0 + 5](https://tex.z-dn.net/?f=y%20%3D%202%2A0%20%2B%205)
![y = 0 + 5](https://tex.z-dn.net/?f=y%20%3D%200%20%2B%205)
![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
Answer:
A=3
Step-by-step explanation:
2353032/99 = 23768
Answer:
-13x^2 + 6x + 11
Step-by-step explanation:
Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)