Step-by-step explanation:
<u>Y2 - Y1</u>
X2 - X1
<u>3 - 1</u>
2 - 1
= 2
y - Y1 = m (x - X1)
y - 1 = 2(x - 1) --- IN POINT SLOPE FORM
y - 1 = 2x - 2
+ 1 + 1
y = 2x - 1 --- IN SLOPE INTERCEPT FORM
QUESTION 12:
Slope intercept form -
- y = mx + b
- m represents the slope
- b represents the y - intercept AKA the starting point
- When the slope is negative, you go down
- When the slope is positive, you go up
ABOUT PROBLEM:
- Since the slope is negative, you go down 4, right 3, but start from the 2 then start doing the slope
- You have to put 2 on the y - line because it's the y - intercept AKA starting point
y = -4/3x + 2
Answer: B. 1975
Step-by-step explanation:
Given: The model of population of a certain city between the years 1965 and 1995 by the radical function
![P(x)=75000\sqrt[3]{x-1940}](https://tex.z-dn.net/?f=P%28x%29%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D)
To find the x year at which population is 245,000, put this in equation we get
![245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975](https://tex.z-dn.net/?f=245000%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5Cfrac%7B245000%7D%7B17000%7D%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow3.266%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D%283.266%29%5E3..........%5Ctext%7B%5Bby%20taking%20cube%20on%20both%20sides%5D%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1940%2B34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1974.8587%5Capprox1975)
Hence, at year 1975 the population of the city is 245,000.
Answer:
hi
Step-by-step explanation:
Answer:
The solution of the system of equations is the point (-3,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Adds equation A and equation B

Find the value of y
The solution of the system of equations is the point (-3,0)