Answer:
y = -2x -4
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept. We are told that the slope of the line is -2, so we can start with
y = mx + b
y = -2x + b
We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)
0 = -2(-2) + b
0 = 4 + b
Subtract 4 from both sides of the equation
-4 = b
Then plug that value of b back into the equation above:
y = -2x + (-4) or y = -2x -4
899$ is the y intercept because that is your starting value. Then, 65 is your slope. (Rise 65, run 1). After 24 months, the total cost will be 2459$. This is because 24 • 65 = 1560. This is your total cost of phone service. Then, you need to add the phone. 1560 + 899 = 2459. So you total cost is 2459.
1.) Divide the value of the grilled cheese food cart by $100
$90,000 / $100 = $900
2.) Multiply the quotient by the rate per $100
$900 * $.83 = $747
3.) Therefore, B. $747 is Pedro's premium for his grilled cheese food cart
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
The rate of dust deposition is

Note that
1 ton = 9.07185 x 10⁵ g = 9.07185 x 10⁸ mg
1 mi = 1609.34 m = 1.60934 x 10³ m
1 day = 24 h
Therefore

Answer: