I think I know it. The number less than 3000 and if divided by 32 the remainder is 30 is 960.The number less than 3000 and if divided by 58 the remainder is 44 is 2552.
Answer:
{2, 4}
Step-by-step explanation:
Intersection is the elements that two or more sets have in common. In A and B, they share {2, 4} in common.
No the sum of measures would exceed 180, therefore it would not be a obtuse triangle
Answer:
The functions are inverses; f(g(x)) = x ⇒ answer D
⇒ answer D
Step-by-step explanation:
* <em>Lets explain how to find the inverse of a function</em>
- Let f(x) = y
- Exchange x and y
- Solve to find the new y
- The new y = 
* <em>Lets use these steps to solve the problems</em>
∵ 
∵ f(x) = y
∴ 
- Exchange x and y
∴ 
- Square the two sides
∴ x² = y - 3
- Add 3 to both sides
∴ x² + 3 = y
- Change y by
∴ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>The functions are inverses to each other</em></u>
* <em>Now lets find f(g(x))</em>
- To find f(g(x)) substitute x in f(x) by g(x)
∵
∵ g(x) = x² + 3
∴ 
∴ <u><em>f(g(x)) = x</em></u>
∴ The functions are inverses; f(g(x)) = x
* <em>Lets find the inverse of h(x)</em>
∵ h(x) = 3x² - 1 where x ≥ 0
- Let h(x) = y
∴ y = 3x² - 1
- Exchange x and y
∴ x = 3y² - 1
- Add 1 to both sides
∴ x + 1 = 3y²
- Divide both sides by 3
∴ 
- Take √ for both sides
∴ ± 
∵ x ≥ 0
∴ We will chose the positive value of the square root
∴
- replace y by 
∴
Answer:
D
Step-by-step explanation:
In the original expression = 37.4 - 54.9 = -17.5
So, we have to solve all the equations but 1 of them has to equal to -17.5
A) -54.9 + (-37.4) = -92.3
Remove parentheses
= -54.9 - 37.4
Subtract the numbers
-92.3
B) 54.9 - 37.4 = 17.5
Since 54.9 is greater than 37.4 just subtract normally
4 14
5 4. 9 < ------- Line up the decimal points like this
- 3 7. 4 <--------- Subtract the decimals
-----------------
1 7 . 5 <---------- This is the final answer to B.
C) 37.4 - (- 54.9) = 92.3
Change the sign to addition
=37.4 + 54.9
Add the numbers normally
54.9
+ 37. 4
--------------
92.3
D) 37.4 + (-54.9) = -17.5
Change the sign to subtraction
= 37.4 - 54.9
Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)
54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed 37.4 - 54.9 so in this case your answer should be
- 17.5)
37.4 - 54.9 = -17.5
Your final answer is D because it matches 37.4 - 54.9.
Hope this helps!
