Hi there!
To derive an equation given the points, we can use the slope formula:
Plug in the corresponding coordinates:
Simplify:
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
Answer: B. All real numbers
Step-by-step explanation:
See attached image.
To move a graph c units to the left, add c to every x
to move a graph c units down, subtract c from whole function
so
f(x)=x²
move 5 to the left
f(x)=(x+5)²
move 9 down
f(x)=(x+5)²-9
5 left and 9 down
A is answer
Answer:
d. $681.15
Step-by-step explanation:
Bedroom 1:
Width = 10 ft
Length = 8.5 ft
Area of bedroom 1 = length × width
= 10 ft × 8.5 ft
= 85 ft²
Bedroom 2:
Width = 11.75 ft
Length = 13.25 ft
Area of bedroom 2 = length × width
= 11.75 ft × 13.25 ft
= 155.6875 ft²
Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²
= 240.6875 ft²
If the
carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?
Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot
= 240.6875 ft² × $2.83
= $681.145625
Approximately $681.15
