Answer:
30 cm^2
Step-by-step explanation:
6/5=1.2
1.2 x 25 = 30
both bases are the same so the area is the same as if the object were a rectangle
Answer:
26
Step-by-step explanation:
5(7 − 4)^2 ÷ 3 + 11.
PEMDAS says parentheses first
5(3)^2 ÷ 3 + 11.
Then exponents
5 (9)÷ 3 + 11.
Multiply and divide from left to right
45 ÷ 3 + 11
15 +11
26
The slope of the line below shown is -4
Answer:
a) and d) are bijections. b) and c) are not
Step-by-step explanation:
a) Every linear non constant function is a bijection. We can easily find the inverse of f by making a simple calculus.
If y is on the function image, we have y = -3x + 4 for certain x, then
y- 4 = -3x
-(y-4)/3 = x
therefore
b) -3 * X² + 4 is not a bijection because quadratic funtions arent bijective. If you evaluate in opposite values you will obtain the same result. For example f(-1) = f(1) = 6
c) (x+1)/(x+2) is not a bijection. It isnt even defined in -2 because the denominator is equal to 0 if X= -2 and we cant divide by 0. A bijective function from R to R must be defined in every element of R. In general, homographic non linear functions are not bijective for the same reason this function is not.
d) is bijective. There isnt a simple argument we can use to conclude this. We have no other choice than trying to find the inverse function by making a calculus.
Y =
Y-1 =
Not that since 5 is odd, we can calculate independently of which value Y-1 takes. Therefore , and we can conclude that f is bijective.
I hope this helps you!
Answer:
The bowling ball have more gravitational potential energy as it sit on top of the building
Step-by-step explanation: