Answer:
m = -1/3
Step-by-step explanation:
Find two points in order to calculate slope:
Slope (m) =
ΔY /ΔX= -1/ 3= -0.33333333333333
- ( ΔX = 3 – 0 = 3
- ΔY = 1 – 2 = -1 )
Slope intercept:
y = -0.33333333333333x + 2
Answer: 8 batches
explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.
Answer:
Option B) 
is the correct option.
Step-by-step explanation:
<em>Exponential function is the one where, a constant is raised to the power of x, a independent variable.</em>
Here, only option B and D are such exponential functions, while option A is linear and option C is quadratic in nature.
Now, to verify which option is correct, we will input the values and check which has the least difference between the given values.
Or we can use the cost function,
, to find which function has the least error.
By applying the above results,we find Option B is correct.
Answer:
-2, -13
0, -3
2, 7
4, 17
Step-by-step explanation:
To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.
y = 5x - 3
y = 5(-2) - 3
y = -10 - 3
y = -13
This means the table value corresponding to -2 should be -13.
y = 5x - 3
y = 5(0) - 3
y = 0 - 3
y = -3
This means the table value corresponding to 0 should be -3.
y = 5x - 3
y = 5(2) - 3
y = 10 - 3
y = 7
This means the table value corresponding to 2 should be 7.
y = 5x - 3
y = 5(4) - 3
y = 20 - 3
y = 17
This means the table value corresponding to 4 should be 17.
Answer:
226.2 feet
Step-by-step explanation:
The fence around the dog's house is a circle, with a radius of 12 meters.
To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:
C = 2 π r, since we know r, the calculation is easy:
C = 2 π 12 = 24 π = 75.4 feet.
The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.
Dogs run = 3 x 75.4 ft = 226.2 feet
