Answer:
Equation: y = 65x
Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.
Step-by-step explanation:
Pick any two points to find slope, let's got with (3, 195) and (4, 260):
slope m = (y₂- y₁) / (x₂ - x₁)
= (260 - 195) / (4 - 3)
= 65 / 1
m = 65
Find y-intercept by using m from above and another point from your table, let's go with (5, 325):
y = mx + b
325 = 65(5) + b
325 = 325 + b
b = 0
Use m and b to form equation of line:
y = mx + b
y = 65x + 0
y = 65x
Check:
point (3, 195): 195 = 65(3) ====> 195 = 195
point (4, 260): 260 = 65(4) ====> 260 = 260
point (5, 325): 325 = 65(5) ====> 325 = 325
point (6, 390): 390 = 65(6) ====> 390 = 390
Example of a point that doesn't belong on table:
point (8, 500): 500 = 65(8) ====> 500 ≠ 520
Answer:
controlled experiment
Step-by-step explanation:
Controlled experiment is a type of experiment in which except for only one variable, everything is kept constant.
The common type of the controlled experiment compares the control group against the experimental group. All the variables are identical between two groups except factor which is being tested.
Big advantage of the controlled experiment is that one can eliminate much of uncertainty about the results.
Answer: -7.408%
Explanation: The formula for percent error is:
(experimental - theoretical) / theoretical * 100. The experimental value is 50, or your guess. The theoretical value is 54, or the actual value. The theoretical value is the value it should be.
(50-54)/54 = -.074 * 100 = -7.408%
ANSWER
The required equation is:
EXPLANATION
The given equation is
Dividing through by 225 we obtain;
This is a hyperbola that has it's centre at the origin.
If this hyperbola is translated so that its center is now at (0,5).
Then its equation becomes:
We multiply through by 225 to get;
We now expand to get;
The equation of the hyperbola in general form is
Answer:
x = -9
Explanation:
(3x + 9)^5 = 32x^5
(3 (x + 3))^5 = 32x^5
3^5 (x + 3)^5 = 32x^5
243(x + 3)^5 = 32x^5
243(x + 3)^5 - 32x^5 = 0
x = -9
