Answer:
x = -4
Step-by-step explanation:
3x-2(6x-3)=42
Distribute
3x -12x+6 = 42
Combine like terms
-9x+6 = 42
Subtract 6 from each side
-9x+6-6 = 42-6
-9x = 36
Divide each side by -9
-9x/-9 = 36/-9
x = -4
Answer:
Bruce's function:
Felicia's function:
Bruce's tiles cover more area
Step-by-step explanation:
Functions
We need to compare the area covered by tile of both Bruce and Felicia. We are required to find the function y, the area covered by the number of tiles he used, x.
We know the tiles used by Bruce cover 1/4 of a square foot, this is written as:
To find the function for Felicia, we must use the data provided in the table
For example,
For x=9 tiles, y=1 sq ft
For x=18 tiles, y=2 sq ft
If we set
We can find the value of k
Thus
Testing the constructed function with x=18 and x=27
The function is complete and accurate.
Comparing both functions we see that Bruce's tiles cover more area because
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
Answer: speed of the car is 88 miles per hour
the speed of the motorcycle is 78 miles per hour
Step-by-step explanation:
Number of miles travelled by car = 312
Number of miles travelled by motorcycle = 272
Let x = speed of the car
Let y = speed of the motorcycle
If the car's speed is 10mph more than the motorcycle's, it means
x = y + 10 - - -- - - 1
Time taken for car to travel 312 miles is distance /speed = 312/x
Time taken for motorcycle to travel 272 miles is distance /speed = 272/y
The car travels 312 miles in the same time that a motorcycle traveled 272.
This means
312/x = 272/y
312y = 272x
y = 272x/312
Substituting y = 272x/312 into equation 1, it becomes
x = 272x/312 + 10
312x = 272x + 3120
312x-272x = 3120
40x = 3120
x = 3120/40 = 78 miles per hour
x = y + 10 = y + 78
x = 88 miles per hour