Answer:
A 2
B 1
C 4
D 3
Step-by-step explanation:
( ) means not including (also used for infinity)
[ ] means including
The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []
Explanation for A:
x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".
x can be anything, it just has to be less than 7.8, so the answer is:
2 (-infinity, 7.8)
Explanation for B:
x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".
x can be anything, it just has to be less than or equal to 7.8, so the answer is:
1 (-infinity, 7.8]
Explanation for C:
x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".
x can be anything, it just has to be greater than or equal to 7.8, so the answer is:
4 [7.8, infinity)
Explanation for D:
x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".
x can be anything, it just has to be greater than 7.8, so the answer is:
3 (7.8, infinity)
Hope it helps (●'◡'●)
Suppose, we are given
two points as
F as (x1, y1)
H as (x2, y2)
assume it divides in m/n
we can use formula

now, we are given points as
F=(x1, y1)=(4,8)

H=(x2, y2)=(10,12)


so,

now, we can find


so, point is
.................Answer
Answer:
708meters
Step-by-step explanation:
Given data
Lenght = 274meters
Width= 80 meters
The expression for the perimeter is
P= 2L+2W
substitute
P= 2*274+ 2*80
P= 548+160
P= 708 meters
Hence the perimeter of the block is 708meters
Answer: k= 9
x= 7/4
Step-by-step explanation:
https://www.symbolab.com/solver/order-of-operations-calculator/36x%20-%2063%20%3D%20k%5Cleft(4x%20-%207%5Cright)
Answer:

![g(x)=\sqrt[3]{x}-5](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D-5)
Step-by-step explanation:
Consider the given function is
![f(x)=\sqrt[3]{-2x+4}-5](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B-2x%2B4%7D-5)
It is given that
and neither g(x) nor h(x) is solely x.
![f(x)=\sqrt[3]{(-2x+4)}-5](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B%28-2x%2B4%29%7D-5)
Let
, then we get
![f(x)=g(h(x))=\sqrt[3]{h(x)}-5](https://tex.z-dn.net/?f=f%28x%29%3Dg%28h%28x%29%29%3D%5Csqrt%5B3%5D%7Bh%28x%29%7D-5)
Substitute h(x)=x in the above function.
![g(x)=\sqrt[3]{x}-5](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D-5)
Therefore, the required functions are
and
.
Check the solutions.
![[\because h(x)=-2x+4]](https://tex.z-dn.net/?f=%5B%5Cbecause%20h%28x%29%3D-2x%2B4%5D)
![[\because g(x)=\sqrt[3]{x}-5]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D-5%5D)

Therefore, our solution is correct.