Answer:125
Step-by-step explanation:
Answer:
Step-by-step explanation:
Positive integers have values greater than zero. Negative integers have values less than zero.
Answer:
C. f⁻¹(x) = 3 - 5x
Step-by-step explanation:
To find the inverse of a function, switch x and y and solve for y.
f(x) = (3 - x)/5
Change f(x) to y.
y = (3 - x)/5
Switch x and y.
x = (3 - y)/5
Multiply both sides by 5.
5x = 3 - y
Subtract 3 from both sides.
5x - 3 = -y
Multiply both sides by -1.
-5x + 3 = y
Switch the sides.
y = -5x + 3
Change the equation.
y = 3 - 5x
Answer:
a = 13, b = - 3
Step-by-step explanation:
Expand the left side and compare like terms on both sides
(3x + 1)(x - 2) ← expand using FOIL
= 3x² - 5x - 2
left side = 3x² - 5x - 2 + ax + b ← combine like terms
= 3x² + x(a - 5) + b - 2
right side = 3x² + 8x - 5
For the 2 sides to be equal then
a - 5 = 8 ( add 5 to both sides )
a = 13
and
b - 2 = - 5 ( add 2 to both sides )
b = - 3
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
