Answer: y = -1x + 5
Step-by-step explanation:
1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)
(0 - 6)/ (5 -(-1))
2. Solve for slope
-6/6
= -1
3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line
(y -(-1)) = -1( x - 6)
4. Solve for y
y + 1 = -1x + 6 -----> y = -1x + 5
Answer:
1st- 4, 2nd- 9, 3rd- 14, 4th- 19, 5th- 24, 6th- 29, 7th- 34, 8th- 39, 9th- 44, 10th- 49, 11th- 54, 12th-59
Step-by-step explanation:
1st- 4
2nd- 4+15-10= 9
3rd- 9+15-10=14
4th- 14+15-10=19
5th- 19+15-10=24
6th- 24+15-10=29
7th- 29+15-10=34
8th- 34+15-10=39
9th- 39+15-10=44
10th- 44+15-10=49
11th- 49+15-10=54
12th-54+15-10=59
Answer:
D. S’ is the result of switching coordinates of S.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x).
Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90° counterclockwise about the origin, the new point is at S'(y, x). S’ is the result of switching coordinates of S
First, you have to simplify the equation:
y+3 = 3(x+5)
y+3=3x+15
So you multiply what’s inside the brackets (x+5) by the factor (3). So 3•x=3x, 3•5=15.
Then you rearrange the equation as necessary to convert it into standard form, which is Ax + By = C
Answer:
Option C. exponential decay function
Step-by-step explanation:
In this problem we have a exponential function of the form
where
y ---> is the money that is in the bank
x ----> number of days
a ---> is the initial value or y-intercept
b is the base of the exponential function
r ---> is the rate of change
b=(1+r)
In this problem we have that
Each day 1/2 of the money that is in bank value is removed
so
---> is negative because is a decreasing function
The value of b is equal to
The value of b is less than 1
b<1
That means -----> Is a exponential decay function
