x = -29
because
0.35x +1.4=0.25x-1.5
-0.25x -0.25x
_____________________
0.1x + 1.4 = -1.5
-1.4 -1.4
_________________________
0.1x =-2.9
____ _____
0.1 0.1
x = -29
Answer: Increase in number or size, at a constantly growing rate. It is one possible result of a reinforcing feedback loop that makes a population or system grow (escalate) by increasingly higher amounts.
Answer:
y = -0.85 + 0.09x; $49.82
Step-by-step explanation:
1. Calculate Σx, Σy, Σxy, and Σx²
The calculation is tedious but not difficult.
2. Calculate the coefficients in the regression equation
To two decimal places, the regression equation is
y = -0.85 + 0.09x
3. Prediction
If x = 563,
y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85 + 50.67 = $49.82
(If we don't round the regression equation to two decimal places, the predicted value is $50.56.)
The rule that describes this transformation is (x - 3, y + 1)
Step-by-step explanation:
Step 1:
The points of the trapezoid are
M; (-3, -1),
N; (-4, 3),
P; (1, 3), and
Q; (-1, -1).
Step 2:
To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.
In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.
Combining these we get (x, y) becomes (x - 3, y + 1).
Answer:
A) Fixed Expense
Step-by-step explanation:
Fixed expenses, you'll need to list all expenses you have that are the same every month.
