Answer:
Step-by-step explanation:
The hypotenuse of a right angled triangle can be find by using the Pythagorean Theorem: i.e
For, triangle 'A'
As,
Therefore,
Answer: 100 cents making it 1 dollar
2.) 7a^2 + 50a + 7 = 7a^2 + a + 49a + 7 = a(7a + 1) + 7(7a + 1) = (a + 7)(7a + 1)
3.) 3x^2 + 11x - 20 = 3x^2 - 4x + 15x - 20 = x(3x - 4) + 5(3x - 4) = (x + 5)(3x - 4)
4.) x^2 + 7x - 18 = x^2 - 2x + 9x - 18 = x(x - 2) + 9(x - 2) = (x + 9)(x - 2)
Answer:
g(x) = 2x - 3
Step-by-step explanation:
The inverse of a function is the equation where x and y have switched places. If when you solve for y again, the function passes the vertical line test, the inverse if a function.
g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to y = (x-3)/2. This is a line and is a function y = 1/2 x - 3/2.
k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to . This is a function but only for certain values of x.
f(x) = |x+2| is an absolute value function. All absolute value functions do not have inverses which are functions.
w(x) = -20 does not have an inverse which is a function.
This means A is the solution.
Answer:
37.86 mph and 40.86 mph
Step-by-step explanation:
The speed for the first session is x, for the second session will be x+3
Average speed= (x+x+3)/2= x+1.5
Total distance covered will be 228+205=433 miles
Time= 11 hours
Time= Distance/ speed
Speed= distance/time
Average Speed= 433/11
x+1.5=433/11
x+1.5=39.36363636
x=39.36363636
-1.5= 37.86363636
Approximately, x= 37.86 mph
x+3=37.86+3= 40.86 mph