All the linear functions in form y = mx + b where m ≠ 0 has the inverse in form
y = x/m - b/m.
Answer: The inverse of f exist.
Answer:
1) (x + 4)(x - ½) = 0
4x² + 16x = 0
2) 0.25x² + 0.8x - 8 = 0
3x² - 4x = 15
Step-by-step explanation:
1) (x + 4)(x - ½) = 0
x = -4, ½
4x² + 16x = 0
4x(x + 4) = 0
x = 0, -4
2) (x - 6)(x + 9) = 0
x = 6, -9
(x - 1)² = 4
(x - 1)² - (2)² = 0
(x - 1 - 2)(x - 1 + 2) = 0
(x - 3)(x + 1) = 0
x = 3, -1
These two are easier to solve using product = 0 property, while the other two would be easier using the quadratic formula
Answer: The original number is 175
Step-by-step explanation:
The number will be represent by x .
The number is being divided by 5 so we can represent by the expression x/5.
After than is being added to 18 so we will add 18 to the expression.
x/5 + 18 .
It has to equal to 9 less than 62 and 9 less than 62 is the same as the expression 62 -9.
Whole equation will be x/5 + 18 = 62 - 9
+ 18 = 62 - 9 Combine like terms on the right side
x/5 + 18 = 53 Subtract 18 from both sides
-18 -18
x/5 = 35 Multiply both side by 5.
x = 175
This means the original number is 175.
Answer:
1 1/2
Step-by-step explanation:
because when you divide 7.5 by 5 you get 1.5
Answer:
Perimeter of the figure = 198.54 feet
Step-by-step explanation:
Given figure comprises a rectangle and two semicircles.
Perimeters of two semicircle = 2πr
Here 'r' = Radius of the circle
Perimeter of two semicircles at the sides of the rectangle = 
= 25π feet
= 78.54 feet
Length of side AB = Length of side CD = 60 feet
Perimeter of the given figure = 2(60) + 78.54
= 198.54 feet